WEBVTT

00:00:00.000 --> 00:00:00.543 align:middle line:90%


00:00:00.543 --> 00:00:01.960 align:middle line:84%
NARRATOR: The
following content is

00:00:01.960 --> 00:00:05.290 align:middle line:84%
provided by MIT OpenCourseWare
under a Creative Commons

00:00:05.290 --> 00:00:06.370 align:middle line:90%
license.

00:00:06.370 --> 00:00:10.120 align:middle line:84%
Additional information about our
license and MIT OpenCourseWare,

00:00:10.120 --> 00:00:13.090 align:middle line:84%
in general, is available
at ocw.mit.edu.

00:00:13.090 --> 00:00:17.722 align:middle line:90%


00:00:17.722 --> 00:00:19.500 align:middle line:84%
DR. GEORGE CHURCH:
OK, welcome back.

00:00:19.500 --> 00:00:23.850 align:middle line:84%
One quick announcement
before we get started.

00:00:23.850 --> 00:00:29.970 align:middle line:84%
The teaching Fellows
and I have, in response

00:00:29.970 --> 00:00:33.300 align:middle line:84%
to a few gentle
inquiries have, come up

00:00:33.300 --> 00:00:35.670 align:middle line:84%
with a plan for making
your problem sets

00:00:35.670 --> 00:00:39.310 align:middle line:84%
and projects a little bit
easier, getting you some time.

00:00:39.310 --> 00:00:42.720 align:middle line:84%
Take a look at the website and
talk to your teaching Fellows.

00:00:42.720 --> 00:00:45.240 align:middle line:84%
But basically, there will
be no problems in set six.

00:00:45.240 --> 00:00:47.370 align:middle line:84%
It will be combined
with problem set five,

00:00:47.370 --> 00:00:51.480 align:middle line:84%
and so you'll have a full three
weeks to work on your project.

00:00:51.480 --> 00:00:53.760 align:middle line:90%
Tripling your project time.

00:00:53.760 --> 00:00:55.510 align:middle line:84%
Assuming you haven't
done anything so far,

00:00:55.510 --> 00:00:58.870 align:middle line:84%
which hopefully all of you
have done a lot so far.

00:00:58.870 --> 00:01:08.130 align:middle line:84%
OK, so we were correlating
absolute levels

00:01:08.130 --> 00:01:14.190 align:middle line:84%
of messenger RNA abundance
in messenger RNA protein.

00:01:14.190 --> 00:01:18.420 align:middle line:84%
And here, this
study was subjected

00:01:18.420 --> 00:01:22.845 align:middle line:84%
to a little bit of not terribly
controversial critique.

00:01:22.845 --> 00:01:25.890 align:middle line:90%


00:01:25.890 --> 00:01:29.910 align:middle line:84%
What you're seeing
here is at very--

00:01:29.910 --> 00:01:32.190 align:middle line:84%
if you have the very
low abundance proteins,

00:01:32.190 --> 00:01:35.370 align:middle line:84%
you might have what looks
like some correlation.

00:01:35.370 --> 00:01:37.440 align:middle line:84%
Then you add a few more
low abundance proteins,

00:01:37.440 --> 00:01:39.480 align:middle line:84%
so this is just
some fluctuation.

00:01:39.480 --> 00:01:43.930 align:middle line:84%
And adding proteins should
improve your correlation

00:01:43.930 --> 00:01:44.430 align:middle line:90%
coefficient.

00:01:44.430 --> 00:01:47.610 align:middle line:84%
But if they're of low
reliability in either

00:01:47.610 --> 00:01:50.070 align:middle line:84%
the protein of the
messenger RNA scale,

00:01:50.070 --> 00:01:51.990 align:middle line:84%
or if there isn't
correlation between the two

00:01:51.990 --> 00:01:55.200 align:middle line:84%
for biological reasons, then
your correlation coefficient

00:01:55.200 --> 00:01:57.190 align:middle line:90%
could drop just at random.

00:01:57.190 --> 00:02:01.180 align:middle line:84%
But as you add-- as you get
up to adding all the proteins,

00:02:01.180 --> 00:02:05.010 align:middle line:84%
you could either be dominated
by a few high abundance

00:02:05.010 --> 00:02:07.920 align:middle line:84%
proteins that fit
this perfectly,

00:02:07.920 --> 00:02:12.180 align:middle line:84%
the messenger RNA
protein abundance.

00:02:12.180 --> 00:02:14.670 align:middle line:84%
Anyway, some of the
critiques of this

00:02:14.670 --> 00:02:19.170 align:middle line:84%
had to do with the assumptions
underlying the Pearson

00:02:19.170 --> 00:02:21.330 align:middle line:84%
linear correlation
coefficient, which

00:02:21.330 --> 00:02:24.570 align:middle line:84%
in calculating the statistical
significance of some

00:02:24.570 --> 00:02:27.630 align:middle line:84%
of these analyzes in
the previous slide,

00:02:27.630 --> 00:02:30.180 align:middle line:84%
makes an underlying
assumption that you

00:02:30.180 --> 00:02:33.750 align:middle line:84%
have a normal or
Gaussian bell curve.

00:02:33.750 --> 00:02:36.790 align:middle line:84%
And you don't need
to do this in order

00:02:36.790 --> 00:02:39.160 align:middle line:84%
to-- the variety of
measures of correlation,

00:02:39.160 --> 00:02:43.080 align:middle line:84%
which do not require this
parametric assumption.

00:02:43.080 --> 00:02:48.420 align:middle line:84%
And there are tests for how
close to normal a distribution

00:02:48.420 --> 00:02:50.220 align:middle line:90%
is.

00:02:50.220 --> 00:02:53.130 align:middle line:84%
Deviations from normality
can of all types.

00:02:53.130 --> 00:02:55.380 align:middle line:84%
For example, you can have
slightly flatter or slightly

00:02:55.380 --> 00:02:56.940 align:middle line:90%
sharper than normal.

00:02:56.940 --> 00:03:00.130 align:middle line:84%
You can have skewed to the left
or to the right, and so forth.

00:03:00.130 --> 00:03:03.540 align:middle line:84%
Some of these, like
skewing, can be

00:03:03.540 --> 00:03:05.850 align:middle line:84%
corrected by a log
transformation, where

00:03:05.850 --> 00:03:08.640 align:middle line:84%
you simply take the logarithm
or some other transformation,

00:03:08.640 --> 00:03:11.910 align:middle line:84%
and a log being by far the
most common, and theoretically

00:03:11.910 --> 00:03:14.190 align:middle line:84%
justified, and now
it becomes normal,

00:03:14.190 --> 00:03:16.688 align:middle line:84%
and then you can do
a statistical test.

00:03:16.688 --> 00:03:18.480 align:middle line:84%
As it turns out, this
is not a huge effect,

00:03:18.480 --> 00:03:25.200 align:middle line:84%
but they use it in
order to point out

00:03:25.200 --> 00:03:27.660 align:middle line:84%
that you can when you're
testing these, especially

00:03:27.660 --> 00:03:31.150 align:middle line:84%
the low abundance
end of the spectrum.

00:03:31.150 --> 00:03:33.780 align:middle line:84%
You might want to
use a rank test.

00:03:33.780 --> 00:03:36.120 align:middle line:84%
And a rank test
here is illustrated

00:03:36.120 --> 00:03:43.680 align:middle line:84%
that you take if you have,
say, two columns, this

00:03:43.680 --> 00:03:49.410 align:middle line:84%
is a series of pairs of
intensities of messenger RNA

00:03:49.410 --> 00:03:50.010 align:middle line:90%
and proteins.

00:03:50.010 --> 00:03:54.900 align:middle line:84%
Say columns X and column Y down
in the lower right-hand corner

00:03:54.900 --> 00:03:56.760 align:middle line:90%
of Slide 37.

00:03:56.760 --> 00:04:00.390 align:middle line:84%
And let's say the abundances,
the absolute abundances

00:04:00.390 --> 00:04:08.940 align:middle line:84%
for protein X is 1, 6, 6, and
corresponding RNA Y, which

00:04:08.940 --> 00:04:11.640 align:middle line:90%
would be 8, 2, 3, and 4.

00:04:11.640 --> 00:04:13.800 align:middle line:84%
Now, you want to ask whether
the correlate or not.

00:04:13.800 --> 00:04:18.329 align:middle line:84%
And what you do is rank
them, and so the rank of X

00:04:18.329 --> 00:04:19.680 align:middle line:90%
is 1, 3, 3.

00:04:19.680 --> 00:04:21.180 align:middle line:84%
Here is a tiebreaker--
the way you

00:04:21.180 --> 00:04:24.660 align:middle line:84%
deal with a tie is you give them
all the rank of the middle one

00:04:24.660 --> 00:04:27.300 align:middle line:90%
of the series in the pi.

00:04:27.300 --> 00:04:31.530 align:middle line:84%
And you get a rank for Y, and
the total number, in this case,

00:04:31.530 --> 00:04:40.740 align:middle line:84%
is 4, and so when you
have the rank test score

00:04:40.740 --> 00:04:42.900 align:middle line:84%
is basically the
sum of the square

00:04:42.900 --> 00:04:44.320 align:middle line:90%
of all the differences in rank.

00:04:44.320 --> 00:04:46.890 align:middle line:84%
So the difference in rank
here would be 1 minus 4.

00:04:46.890 --> 00:04:49.943 align:middle line:90%


00:04:49.943 --> 00:04:53.220 align:middle line:84%
It'd be 3 squared, and you
take the sum of all the squares

00:04:53.220 --> 00:04:55.140 align:middle line:84%
and you plug it
into this S which

00:04:55.140 --> 00:04:58.110 align:middle line:84%
is going to go into a
correlation coefficient.

00:04:58.110 --> 00:05:01.020 align:middle line:84%
Similar to in values
and hypothesis

00:05:01.020 --> 00:05:03.630 align:middle line:84%
to the Pearson, but now
not making assumptions

00:05:03.630 --> 00:05:06.000 align:middle line:84%
about the parametric, you
just talking about ranks,

00:05:06.000 --> 00:05:08.130 align:middle line:90%
it's a non-parametric test.

00:05:08.130 --> 00:05:12.390 align:middle line:84%
And then, the N is
the total number,

00:05:12.390 --> 00:05:13.890 align:middle line:90%
and you apply that formula.

00:05:13.890 --> 00:05:15.690 align:middle line:84%
Now, they apply
that formula to this

00:05:15.690 --> 00:05:18.140 align:middle line:84%
exact roughly the same
data set or very similar.

00:05:18.140 --> 00:05:22.620 align:middle line:90%
Actually data set.

00:05:22.620 --> 00:05:29.750 align:middle line:84%
Another critique they had
was that using a better

00:05:29.750 --> 00:05:33.620 align:middle line:84%
measure of the protein
abundance would

00:05:33.620 --> 00:05:39.080 align:middle line:84%
be using a radioactive
tracer in the protein.

00:05:39.080 --> 00:05:41.870 align:middle line:84%
And then measuring
quantitatively

00:05:41.870 --> 00:05:48.110 align:middle line:84%
the intensity of beta particles
released from the methionine

00:05:48.110 --> 00:05:48.800 align:middle line:90%
in the proteins.

00:05:48.800 --> 00:05:52.880 align:middle line:90%


00:05:52.880 --> 00:05:58.220 align:middle line:84%
Making that change and comparing
it to the same messenger RNA

00:05:58.220 --> 00:06:03.830 align:middle line:84%
assessment, they got this fairly
linear correlation over three

00:06:03.830 --> 00:06:05.540 align:middle line:90%
logs.

00:06:05.540 --> 00:06:10.410 align:middle line:84%
Using the Pearson
correlation coefficient,

00:06:10.410 --> 00:06:12.080 align:middle line:84%
which they didn't
entirely approve of,

00:06:12.080 --> 00:06:16.310 align:middle line:84%
they got a 0.76,
which is a modest--

00:06:16.310 --> 00:06:19.280 align:middle line:90%
it's a significant linear trend.

00:06:19.280 --> 00:06:23.600 align:middle line:84%
And using their rank
method 0.74, which

00:06:23.600 --> 00:06:27.770 align:middle line:90%
is basically very similar.

00:06:27.770 --> 00:06:31.610 align:middle line:84%
And found no significant
difference between the top 33%

00:06:31.610 --> 00:06:33.770 align:middle line:90%
and the bottom 33 proteins.

00:06:33.770 --> 00:06:37.760 align:middle line:84%
Undermining the previous
claim that there

00:06:37.760 --> 00:06:39.965 align:middle line:84%
was less linearity at
one than in another.

00:06:39.965 --> 00:06:44.102 align:middle line:84%
You might, or you expect that
the least abundant majority

00:06:44.102 --> 00:06:45.560 align:middle line:84%
of proteins would
have a little bit

00:06:45.560 --> 00:06:49.190 align:middle line:84%
of either biological
or instrumental noise.

00:06:49.190 --> 00:06:53.640 align:middle line:84%
Nevertheless, this group found
that it was a good correlation.

00:06:53.640 --> 00:06:56.360 align:middle line:84%
Now, these two plot-- the
plot in the next slide

00:06:56.360 --> 00:07:00.890 align:middle line:84%
looks similar, but it's
really quite different.

00:07:00.890 --> 00:07:04.100 align:middle line:90%
Here the Y-axis remains.

00:07:04.100 --> 00:07:10.670 align:middle line:84%
The protein abundance is
measured by this F 35 labeling,

00:07:10.670 --> 00:07:14.330 align:middle line:84%
but now we're getting back
to this game of asking

00:07:14.330 --> 00:07:16.910 align:middle line:84%
to what extent can
we make predictions

00:07:16.910 --> 00:07:18.710 align:middle line:84%
about the properties
of the proteins?

00:07:18.710 --> 00:07:21.200 align:middle line:84%
In this case, their abundance
is based on their use

00:07:21.200 --> 00:07:24.080 align:middle line:90%
of abundant codons.

00:07:24.080 --> 00:07:29.060 align:middle line:84%
And a way of quantitating
this is coadaptation index.

00:07:29.060 --> 00:07:31.670 align:middle line:90%


00:07:31.670 --> 00:07:37.280 align:middle line:84%
Shown in the lower left part
of the slide is you have--

00:07:37.280 --> 00:07:40.280 align:middle line:84%
it's the log of the
coadaptation index,

00:07:40.280 --> 00:07:45.590 align:middle line:84%
is a sum of all the frequencies
F of I of each of the codons.

00:07:45.590 --> 00:07:51.180 align:middle line:84%
Where I is the 61 non-stop
codons out of 64 total.

00:07:51.180 --> 00:07:51.680 align:middle line:90%
And

00:07:51.680 --> 00:07:54.920 align:middle line:84%
The W sub I is a
waiting factor, where

00:07:54.920 --> 00:07:58.970 align:middle line:84%
it's the ratio of the
frequency of codon I.

00:07:58.970 --> 00:08:01.910 align:middle line:84%
Let's say a leucine codon
there are six different leucine

00:08:01.910 --> 00:08:07.790 align:middle line:84%
codons, and say the
first one, the W sub 1

00:08:07.790 --> 00:08:10.220 align:middle line:84%
is going to be the
ratio of the frequency

00:08:10.220 --> 00:08:12.590 align:middle line:84%
of that first codon to
whichever one happens

00:08:12.590 --> 00:08:13.670 align:middle line:90%
to be most abundant one.

00:08:13.670 --> 00:08:16.640 align:middle line:84%
Could be the first one, or it
could be one or the other six.

00:08:16.640 --> 00:08:20.220 align:middle line:84%
And so, that's the
formula that is used.

00:08:20.220 --> 00:08:24.980 align:middle line:84%
And you can see, again, a nice
linear trend where indeed,

00:08:24.980 --> 00:08:27.770 align:middle line:84%
the most abundant
proteins do tend to use

00:08:27.770 --> 00:08:30.860 align:middle line:90%
the most abundant codons.

00:08:30.860 --> 00:08:34.280 align:middle line:84%
The codons that you find
that are most abundant

00:08:34.280 --> 00:08:36.559 align:middle line:84%
both in transponder
RNA level and in usage

00:08:36.559 --> 00:08:38.730 align:middle line:90%
in abundant proteins.

00:08:38.730 --> 00:08:41.840 align:middle line:84%
Now, just as with RNAs,
you can measure them

00:08:41.840 --> 00:08:44.510 align:middle line:84%
on an absolute scale
or a ratio scale.

00:08:44.510 --> 00:08:46.790 align:middle line:84%
The advantage in
principle if you have it

00:08:46.790 --> 00:08:48.290 align:middle line:84%
on an absolute
scale, you can always

00:08:48.290 --> 00:08:49.500 align:middle line:90%
calculate ratios from it.

00:08:49.500 --> 00:08:50.880 align:middle line:90%
But not necessarily vice versa.

00:08:50.880 --> 00:08:54.560 align:middle line:84%
You have ratios you can't
always get to absolute.

00:08:54.560 --> 00:08:58.640 align:middle line:84%
So that's one
advantage to absolute.

00:08:58.640 --> 00:09:01.460 align:middle line:84%
If you're looking at things
like codon adaptation index

00:09:01.460 --> 00:09:07.130 align:middle line:84%
or messenger RNA, or a variety
of other motivations for you,

00:09:07.130 --> 00:09:09.950 align:middle line:84%
need to do it on
the absolute scale.

00:09:09.950 --> 00:09:11.570 align:middle line:84%
But there, an
argument can be made

00:09:11.570 --> 00:09:16.910 align:middle line:84%
for doing it on a ratiometric
or relative scale, in the sense

00:09:16.910 --> 00:09:19.730 align:middle line:84%
that you can establish
internal standards which

00:09:19.730 --> 00:09:22.520 align:middle line:90%
are more precise.

00:09:22.520 --> 00:09:26.960 align:middle line:84%
You can really eliminate many
of the systematic errors that

00:09:26.960 --> 00:09:30.230 align:middle line:84%
can creep in due to
differentiable ionization

00:09:30.230 --> 00:09:32.940 align:middle line:84%
in the case of mass
spectrometry, and so on.

00:09:32.940 --> 00:09:39.470 align:middle line:84%
Now with RNA, the way we
did this ratio testing ratio

00:09:39.470 --> 00:09:46.250 align:middle line:84%
quantitation is we would label
one messenger RNA red or site

00:09:46.250 --> 00:09:51.050 align:middle line:84%
5, and the other
one green, and then

00:09:51.050 --> 00:09:54.560 align:middle line:84%
by using selective
filtration in the imaging,

00:09:54.560 --> 00:09:56.900 align:middle line:90%
you could get ratios.

00:09:56.900 --> 00:10:00.920 align:middle line:84%
With mass spectrometry,
you don't have colors.

00:10:00.920 --> 00:10:03.410 align:middle line:84%
But somehow, you want to get
the same idea across and so

00:10:03.410 --> 00:10:04.940 align:middle line:90%
what you do is have masses.

00:10:04.940 --> 00:10:07.070 align:middle line:84%
So what you want to
do is encode them

00:10:07.070 --> 00:10:09.110 align:middle line:84%
in something that will
not change the chemistry,

00:10:09.110 --> 00:10:10.360 align:middle line:90%
but will change the mass.

00:10:10.360 --> 00:10:12.860 align:middle line:84%
Not change the mass too much
because if you change too much,

00:10:12.860 --> 00:10:14.860 align:middle line:84%
you might change the
chemistry, or you might not

00:10:14.860 --> 00:10:17.860 align:middle line:84%
be able to find the shadow
peak, the second peak.

00:10:17.860 --> 00:10:22.130 align:middle line:84%
So basically, what we're
doing is we have a--

00:10:22.130 --> 00:10:26.380 align:middle line:84%
want to do is take self-state
1, label it with a light ICAT

00:10:26.380 --> 00:10:29.110 align:middle line:84%
reagent, self-state two,
label it with a heavy,

00:10:29.110 --> 00:10:33.220 align:middle line:84%
meaning more neutrons
in it and then

00:10:33.220 --> 00:10:35.062 align:middle line:84%
mix them together as
early as possible.

00:10:35.062 --> 00:10:36.520 align:middle line:84%
And then all these
steps that could

00:10:36.520 --> 00:10:39.700 align:middle line:84%
have little systematic errors
in it will be the errors

00:10:39.700 --> 00:10:45.100 align:middle line:84%
will be equally distributed
to each of the test sizes

00:10:45.100 --> 00:10:48.040 align:middle line:84%
and labeled and then
measure the mass.

00:10:48.040 --> 00:10:51.040 align:middle line:84%
And for each mass,
you'll have two peaks

00:10:51.040 --> 00:10:53.530 align:middle line:84%
that are separated by whatever
the difference in mass

00:10:53.530 --> 00:10:54.890 align:middle line:90%
between the labeling changes.

00:10:54.890 --> 00:10:57.460 align:middle line:84%
So what are the properties that
you want of a labeling agent?

00:10:57.460 --> 00:11:00.940 align:middle line:84%
One is that it should
react covalently

00:11:00.940 --> 00:11:04.330 align:middle line:84%
so it will survive all
these fractionation

00:11:04.330 --> 00:11:07.480 align:middle line:90%
steps and mass detection steps.

00:11:07.480 --> 00:11:10.570 align:middle line:84%
So it has to be, in this
case, file specific.

00:11:10.570 --> 00:11:13.960 align:middle line:84%
You want a way of pulling
out only those peptides that

00:11:13.960 --> 00:11:14.830 align:middle line:90%
have been modified.

00:11:14.830 --> 00:11:17.230 align:middle line:84%
All the rest are just
going to contaminate

00:11:17.230 --> 00:11:19.570 align:middle line:90%
your mass spectrometry.

00:11:19.570 --> 00:11:21.010 align:middle line:84%
And in between,
you want something

00:11:21.010 --> 00:11:24.040 align:middle line:84%
where you can differentially
label heavy or light atoms.

00:11:24.040 --> 00:11:25.970 align:middle line:84%
In the original
proof of concept,

00:11:25.970 --> 00:11:30.430 align:middle line:84%
this was done with hydrogen
atoms versus deuterium.

00:11:30.430 --> 00:11:35.450 align:middle line:84%
They differ by one atomic
mass unit per position.

00:11:35.450 --> 00:11:39.700 align:middle line:84%
However, you will see
in the next slide,

00:11:39.700 --> 00:11:41.560 align:middle line:84%
this has the
unfortunate consequence

00:11:41.560 --> 00:11:43.990 align:middle line:84%
that hydrogen and deuterium
actually are not only

00:11:43.990 --> 00:11:46.450 align:middle line:84%
mass distinguishable, but they
also have different chemical

00:11:46.450 --> 00:11:47.590 align:middle line:90%
properties.

00:11:47.590 --> 00:11:51.400 align:middle line:84%
There's an isotope effect
that's detectable in a variety

00:11:51.400 --> 00:11:57.250 align:middle line:84%
of chemistries, including
retention time on the HPLC.

00:11:57.250 --> 00:12:01.870 align:middle line:84%
This has since been upgraded
for you having C13 versus C12.

00:12:01.870 --> 00:12:04.810 align:middle line:84%
Now, that's a much
more subtle difference.

00:12:04.810 --> 00:12:06.370 align:middle line:90%
Same mass difference.

00:12:06.370 --> 00:12:09.190 align:middle line:84%
You have nine different
carbon atoms in here,

00:12:09.190 --> 00:12:11.100 align:middle line:90%
and that works better.

00:12:11.100 --> 00:12:13.600 align:middle line:84%
In addition, there's a way that
you can cleave off the biase

00:12:13.600 --> 00:12:15.758 align:middle line:84%
after it's done its job,
where you would add it,

00:12:15.758 --> 00:12:17.425 align:middle line:84%
and you selected all
those peptides that

00:12:17.425 --> 00:12:19.930 align:middle line:84%
have been modified and
then acid cleaved all

00:12:19.930 --> 00:12:22.810 align:middle line:90%
that to clean up the mass spec.

00:12:22.810 --> 00:12:26.860 align:middle line:84%
So here's an example where
you have the difference in M

00:12:26.860 --> 00:12:31.600 align:middle line:84%
over Z, of 4, M over Z and it's
between these heavy and light

00:12:31.600 --> 00:12:32.140 align:middle line:90%
peaks.

00:12:32.140 --> 00:12:34.690 align:middle line:84%
And the ratio of
these two is something

00:12:34.690 --> 00:12:38.670 align:middle line:84%
you can use for essentially
every peptide where

00:12:38.670 --> 00:12:40.660 align:middle line:84%
the pair of peaks is
in an uncluttered part

00:12:40.660 --> 00:12:41.890 align:middle line:90%
of the mass spectrum.

00:12:41.890 --> 00:12:43.270 align:middle line:84%
And here's evidence
where you can

00:12:43.270 --> 00:12:47.440 align:middle line:84%
see that on retention time
and the horizontal axis

00:12:47.440 --> 00:12:51.340 align:middle line:84%
on the left-hand
side of Slide 41.

00:12:51.340 --> 00:12:53.860 align:middle line:84%
You can see this
little red line shows

00:12:53.860 --> 00:12:57.280 align:middle line:84%
how the centroids of the
set of peaks should line up

00:12:57.280 --> 00:13:00.670 align:middle line:84%
and has been displaced through
the chemical effects of that

00:13:00.670 --> 00:13:03.880 align:middle line:90%
adding a few neutrons.

00:13:03.880 --> 00:13:09.910 align:middle line:84%
OK, so the lesson here is that
hydrogen deuterium are not

00:13:09.910 --> 00:13:11.530 align:middle line:84%
necessarily
chemically identical.

00:13:11.530 --> 00:13:14.290 align:middle line:84%
The conceit of isotopes
is that they really

00:13:14.290 --> 00:13:18.610 align:middle line:84%
should be chemically
identical, but really it's

00:13:18.610 --> 00:13:24.320 align:middle line:84%
better if you work with heavier
atoms to introduce neutrons.

00:13:24.320 --> 00:13:28.190 align:middle line:84%
Now, so what can we do
with this ratiometric acid?

00:13:28.190 --> 00:13:31.120 align:middle line:84%
Now, we're going to-- just
like before, we compared

00:13:31.120 --> 00:13:33.850 align:middle line:84%
absolute protein levels
to absolute RNA levels,

00:13:33.850 --> 00:13:35.680 align:middle line:84%
now we're going
to measure ratios.

00:13:35.680 --> 00:13:40.370 align:middle line:84%
And to do ratios, we have to
have two different conditions.

00:13:40.370 --> 00:13:42.040 align:middle line:84%
So another advantage
to absolute is

00:13:42.040 --> 00:13:44.140 align:middle line:84%
you can do it all
under one condition.

00:13:44.140 --> 00:13:45.610 align:middle line:84%
Here the two
conditions that were

00:13:45.610 --> 00:13:48.100 align:middle line:84%
chosen for this proof
of concept experiment

00:13:48.100 --> 00:13:50.020 align:middle line:90%
were glucose and galactose.

00:13:50.020 --> 00:13:52.630 align:middle line:84%
That is to say, growing it
plus or minus galactose.

00:13:52.630 --> 00:13:59.950 align:middle line:84%
Galactose is a nicely understood
metabolic and regulatory system

00:13:59.950 --> 00:14:02.020 align:middle line:90%
in yeast.

00:14:02.020 --> 00:14:07.090 align:middle line:84%
It fits in with what we know
about the central carbon

00:14:07.090 --> 00:14:10.930 align:middle line:84%
metabolism, and it induces
a set of genes in blue here

00:14:10.930 --> 00:14:17.350 align:middle line:84%
that are required for galactose
catabolism to produce energy.

00:14:17.350 --> 00:14:18.940 align:middle line:84%
The most strongly
ones are way off

00:14:18.940 --> 00:14:23.050 align:middle line:84%
in the upper right-hand
corner here, Dow 710, and one,

00:14:23.050 --> 00:14:27.910 align:middle line:84%
these are the core
catabolic enzymes.

00:14:27.910 --> 00:14:30.190 align:middle line:84%
But almost all of the
innate blue triangles

00:14:30.190 --> 00:14:33.310 align:middle line:84%
have some kind of
story like that.

00:14:33.310 --> 00:14:36.790 align:middle line:84%
And these all are in
the upper right quadrant

00:14:36.790 --> 00:14:42.850 align:middle line:84%
have a high log 10 ratio
of expression up to three

00:14:42.850 --> 00:14:47.110 align:middle line:84%
logs to the third
fold induction.

00:14:47.110 --> 00:14:51.790 align:middle line:84%
Similarly, at the other end
of the spectrum in the lower

00:14:51.790 --> 00:14:55.120 align:middle line:84%
left-hand quadrant
are respiratory genes

00:14:55.120 --> 00:15:03.490 align:middle line:84%
that are involved in, say,
oxidative phosphorylation.

00:15:03.490 --> 00:15:06.880 align:middle line:84%
And these are
moderately depressed

00:15:06.880 --> 00:15:10.840 align:middle line:84%
under galactose
conditions, and that's

00:15:10.840 --> 00:15:12.950 align:middle line:84%
why they're in the
lower right-hand corner.

00:15:12.950 --> 00:15:17.860 align:middle line:84%
And then the green ones are
not quite along this diagonal.

00:15:17.860 --> 00:15:21.340 align:middle line:84%
Their messenger
RNA is increased,

00:15:21.340 --> 00:15:24.280 align:middle line:84%
but their protein
expression is not.

00:15:24.280 --> 00:15:28.900 align:middle line:84%
And these are the
ribosome protein genes,

00:15:28.900 --> 00:15:31.630 align:middle line:84%
and this is another
phenomenon that's

00:15:31.630 --> 00:15:35.180 align:middle line:90%
well documented in the system.

00:15:35.180 --> 00:15:37.490 align:middle line:90%
OK.

00:15:37.490 --> 00:15:40.070 align:middle line:84%
Now those are
examples of how you

00:15:40.070 --> 00:15:42.230 align:middle line:84%
can use absolute and
relative, and why

00:15:42.230 --> 00:15:44.930 align:middle line:84%
you're motivated to use
absolute and relative measures

00:15:44.930 --> 00:15:47.330 align:middle line:90%
for proteins and messenger RNAs.

00:15:47.330 --> 00:15:52.850 align:middle line:84%
Now, these are all treating
as if, just like before,

00:15:52.850 --> 00:15:55.370 align:middle line:84%
I said that messenger
RNA might lump all

00:15:55.370 --> 00:15:58.852 align:middle line:84%
together all splice forms and
call that the gene product.

00:15:58.852 --> 00:16:01.310 align:middle line:84%
Although you know better, and
the same thing with proteins,

00:16:01.310 --> 00:16:04.410 align:middle line:84%
you might lump together all
the protein splice forms.

00:16:04.410 --> 00:16:07.698 align:middle line:84%
And not only that but for a
particular protein splice form,

00:16:07.698 --> 00:16:09.740 align:middle line:84%
there are many different
synthetic modifications,

00:16:09.740 --> 00:16:13.393 align:middle line:84%
such as proteolysis
and phosphorylation.

00:16:13.393 --> 00:16:15.560 align:middle line:84%
And so we're going to talk
about these modifications

00:16:15.560 --> 00:16:18.800 align:middle line:84%
very briefly to hopefully
whet your appetite for one

00:16:18.800 --> 00:16:21.410 align:middle line:84%
of the most exciting
parts of proteomics

00:16:21.410 --> 00:16:25.220 align:middle line:84%
and whether it's
identification or quantitation.

00:16:25.220 --> 00:16:27.770 align:middle line:84%
So we've already mentioned
radial isotopic labeling

00:16:27.770 --> 00:16:29.480 align:middle line:90%
as a way of quantitating.

00:16:29.480 --> 00:16:35.060 align:middle line:84%
Using various
radioactive sulfur,

00:16:35.060 --> 00:16:37.610 align:middle line:84%
you can use, whether
it's stable isotopes

00:16:37.610 --> 00:16:40.820 align:middle line:84%
or radioactive isotopes, you can
use these to do pulse labeling

00:16:40.820 --> 00:16:44.690 align:middle line:90%
to monitor a dynamic process.

00:16:44.690 --> 00:16:47.210 align:middle line:84%
P-32 if in particular,
if you want

00:16:47.210 --> 00:16:53.730 align:middle line:84%
to enrich for some of the most
well-studied and significant

00:16:53.730 --> 00:16:55.370 align:middle line:84%
photosynthetic
modifications involved

00:16:55.370 --> 00:16:57.260 align:middle line:90%
in signal transduction.

00:16:57.260 --> 00:16:59.810 align:middle line:84%
You can enrich for particular
types of amino acids.

00:16:59.810 --> 00:17:02.060 align:middle line:84%
We already showed that
the cysteines, which

00:17:02.060 --> 00:17:04.730 align:middle line:84%
is an arbitrary
amino acid chosen

00:17:04.730 --> 00:17:12.230 align:middle line:84%
for the ICAT ratiometric method,
that was chosen because it has

00:17:12.230 --> 00:17:17.119 align:middle line:84%
interesting reactivity, not
because it's intrinsically

00:17:17.119 --> 00:17:21.319 align:middle line:84%
important low abundance
regulatory molecules.

00:17:21.319 --> 00:17:24.960 align:middle line:84%
Phosphates, on the other
hand, can be very important,

00:17:24.960 --> 00:17:28.880 align:middle line:84%
and you might need to enrich
because these important

00:17:28.880 --> 00:17:31.700 align:middle line:84%
regulatory
phosphorylation sites can

00:17:31.700 --> 00:17:36.163 align:middle line:84%
get lost in the snow of all the
rest peptides in the proteome.

00:17:36.163 --> 00:17:38.330 align:middle line:84%
This can either be done--
this enrichment can either

00:17:38.330 --> 00:17:44.450 align:middle line:84%
be done by immobilized metals
such as iron and gallium,

00:17:44.450 --> 00:17:45.960 align:middle line:90%
and so forth.

00:17:45.960 --> 00:17:48.440 align:middle line:84%
This is called imac for
immobolized metal affinity

00:17:48.440 --> 00:17:52.400 align:middle line:84%
chromatography, or you
can have antibodies

00:17:52.400 --> 00:17:54.250 align:middle line:84%
that are specific
particular phosphate

00:17:54.250 --> 00:17:57.680 align:middle line:84%
peptide, and particular
phosphate amino acids.

00:17:57.680 --> 00:18:01.220 align:middle line:84%
You have lectins for
carbohydrates as front ends

00:18:01.220 --> 00:18:04.640 align:middle line:90%
for mass spectrometry.

00:18:04.640 --> 00:18:09.710 align:middle line:84%
Even when we do P-32
labeling metabolically

00:18:09.710 --> 00:18:14.900 align:middle line:84%
where the P-32 will only label
the subset of the proteins

00:18:14.900 --> 00:18:16.460 align:middle line:90%
which are phosphorylated.

00:18:16.460 --> 00:18:19.190 align:middle line:90%


00:18:19.190 --> 00:18:22.850 align:middle line:84%
It is still the case that
some of the most interesting

00:18:22.850 --> 00:18:25.220 align:middle line:84%
regulatory cell cycle
proteins are not

00:18:25.220 --> 00:18:27.320 align:middle line:84%
detected above
background because there

00:18:27.320 --> 00:18:30.410 align:middle line:84%
are many abundant proteins,
such as ribosome proteins,

00:18:30.410 --> 00:18:35.000 align:middle line:84%
central carbon
metabolic enzymes, which

00:18:35.000 --> 00:18:37.850 align:middle line:84%
are needed in high
abundance, but also need

00:18:37.850 --> 00:18:39.620 align:middle line:90%
to have phosphorylation.

00:18:39.620 --> 00:18:45.620 align:middle line:84%
And so you get this forest
of phosphate proteins

00:18:45.620 --> 00:18:47.330 align:middle line:84%
such as ribosome
and metabolic, which

00:18:47.330 --> 00:18:50.300 align:middle line:84%
make it hard to detect
the regulatory ones.

00:18:50.300 --> 00:18:56.720 align:middle line:84%
So labeling is not a
panacea, and we'll come--

00:18:56.720 --> 00:18:58.970 align:middle line:84%
I think you'll see as we
go through the protein

00:18:58.970 --> 00:19:00.980 align:middle line:84%
modifications and
mass spectrometry,

00:19:00.980 --> 00:19:04.970 align:middle line:84%
is a multidimensional
purification really

00:19:04.970 --> 00:19:07.730 align:middle line:84%
is the way that you get away
from the ribosomal proteins

00:19:07.730 --> 00:19:10.340 align:middle line:84%
and the highly abundant
metabolic proteins, which

00:19:10.340 --> 00:19:12.710 align:middle line:84%
are interesting, but you
need a way of both setting

00:19:12.710 --> 00:19:17.810 align:middle line:84%
them and the regulatory
low level proteins.

00:19:17.810 --> 00:19:19.930 align:middle line:84%
Here are some examples
of natural processes.

00:19:19.930 --> 00:19:21.722 align:middle line:84%
So you can think of
this as a special class

00:19:21.722 --> 00:19:23.600 align:middle line:90%
of post-synthetic modification.

00:19:23.600 --> 00:19:26.900 align:middle line:84%
Instead of having a
phosphate glomming on,

00:19:26.900 --> 00:19:29.300 align:middle line:84%
you have two different
peptides either

00:19:29.300 --> 00:19:31.160 align:middle line:84%
intramolecularly
within a protein

00:19:31.160 --> 00:19:33.500 align:middle line:84%
or intermolecularly
between proteins.

00:19:33.500 --> 00:19:35.990 align:middle line:84%
And you should be highly
motivated to study these

00:19:35.990 --> 00:19:38.345 align:middle line:84%
because they tell you something
not only about protein

00:19:38.345 --> 00:19:40.220 align:middle line:84%
structure, three-dimensional
structure, which

00:19:40.220 --> 00:19:43.410 align:middle line:84%
was the topic last time, but
protein-protein interactions.

00:19:43.410 --> 00:19:45.470 align:middle line:84%
And not just theoretically,
what proteins

00:19:45.470 --> 00:19:47.180 align:middle line:84%
might interact with
other proteins,

00:19:47.180 --> 00:19:53.270 align:middle line:84%
or might bind in vitro could be
in vitro artifact or in yeast

00:19:53.270 --> 00:19:56.390 align:middle line:84%
to hybrid system, could be
a yeast to hybrid artifact.

00:19:56.390 --> 00:20:03.890 align:middle line:84%
These are actual covalent caught
in the act in vivo protein

00:20:03.890 --> 00:20:05.420 align:middle line:90%
interactions.

00:20:05.420 --> 00:20:09.080 align:middle line:84%
And some of these are-- most of
these are very well documented.

00:20:09.080 --> 00:20:13.550 align:middle line:84%
By far the most common one
and of great significance

00:20:13.550 --> 00:20:18.410 align:middle line:84%
to protein tertiary stability
in the class of proteins,

00:20:18.410 --> 00:20:19.850 align:middle line:90%
which are extracellular.

00:20:19.850 --> 00:20:21.470 align:middle line:84%
These include
extracellular domains

00:20:21.470 --> 00:20:25.820 align:middle line:84%
of membrane proteins
and secreted proteins,

00:20:25.820 --> 00:20:33.830 align:middle line:84%
and, in particular, because
there the oxidation state

00:20:33.830 --> 00:20:39.080 align:middle line:84%
is such that this sulfur
sulfur bond is stable,

00:20:39.080 --> 00:20:43.440 align:middle line:84%
while intracellular tends to
be more reducing atmosphere,

00:20:43.440 --> 00:20:47.870 align:middle line:84%
and so that these disulfides
have trouble forming.

00:20:47.870 --> 00:20:49.700 align:middle line:84%
Collagen has a
lysine cross-link.

00:20:49.700 --> 00:20:52.970 align:middle line:84%
Ubiquitin has a C terminus
to lysine cross-link.

00:20:52.970 --> 00:20:55.940 align:middle line:84%
Fibrin involved
in blood clotting

00:20:55.940 --> 00:20:59.000 align:middle line:84%
has glutamine
glycine, and so on.

00:20:59.000 --> 00:21:02.270 align:middle line:84%
As some of your
proteins age, you

00:21:02.270 --> 00:21:05.600 align:middle line:84%
will find glucose in high
concentrations in your blood

00:21:05.600 --> 00:21:08.390 align:middle line:84%
will glycolate the
lysine residues.

00:21:08.390 --> 00:21:11.210 align:middle line:84%
And this is part of
the process by which

00:21:11.210 --> 00:21:16.820 align:middle line:84%
these proteins eventually lose
their function and are cleared.

00:21:16.820 --> 00:21:19.248 align:middle line:84%
Protein nucleic
acid interactions

00:21:19.248 --> 00:21:21.290 align:middle line:84%
we've been talking about
so far are non-covalent.

00:21:21.290 --> 00:21:23.070 align:middle line:84%
Some of them are
covalent, for example,

00:21:23.070 --> 00:21:27.950 align:middle line:84%
when you want to
prime de Novo polymer

00:21:27.950 --> 00:21:30.410 align:middle line:90%
synthesis, DNA synthesis.

00:21:30.410 --> 00:21:34.550 align:middle line:84%
OK, so what are the consequences
for the mass spec algorithms

00:21:34.550 --> 00:21:37.160 align:middle line:84%
we've been talking about,
say, de Novo sequencing

00:21:37.160 --> 00:21:43.310 align:middle line:84%
or finding a peptide
spectrum in your database?

00:21:43.310 --> 00:21:46.070 align:middle line:84%
Well, you can see
the masses are going

00:21:46.070 --> 00:21:47.330 align:middle line:90%
to be fairly straightforward.

00:21:47.330 --> 00:21:49.790 align:middle line:84%
Here's some examples of some
masses, of some peptides,

00:21:49.790 --> 00:21:51.440 align:middle line:90%
and some cross-link peptides.

00:21:51.440 --> 00:21:57.290 align:middle line:84%
On the top right, you'll see
one intermolecular cross-linked

00:21:57.290 --> 00:22:00.860 align:middle line:84%
between a lysine and a
lysine, and an intermolecular

00:22:00.860 --> 00:22:02.130 align:middle line:90%
between two peptides.

00:22:02.130 --> 00:22:04.842 align:middle line:84%
Now each of these
peptides in this display,

00:22:04.842 --> 00:22:06.050 align:middle line:90%
these are just simple masses.

00:22:06.050 --> 00:22:07.140 align:middle line:90%
These are not fragments.

00:22:07.140 --> 00:22:08.490 align:middle line:90%
These are not some fragments.

00:22:08.490 --> 00:22:11.360 align:middle line:84%
So you expect these to
be triptych products.

00:22:11.360 --> 00:22:14.420 align:middle line:84%
So each of their C terminals
should be either arginine R

00:22:14.420 --> 00:22:18.180 align:middle line:84%
or lysine K. R,
K, K, R, so forth,

00:22:18.180 --> 00:22:21.050 align:middle line:84%
and so you can see this is
two peptides, one ending in R,

00:22:21.050 --> 00:22:24.110 align:middle line:84%
one ending in K. So
let's look in detail

00:22:24.110 --> 00:22:30.320 align:middle line:84%
at this example where you have
an intramolecular cross-link.

00:22:30.320 --> 00:22:33.770 align:middle line:84%
And you can see that
as you cleave it,

00:22:33.770 --> 00:22:36.470 align:middle line:84%
each of these peptide bonds
entering B ions from the N

00:22:36.470 --> 00:22:39.350 align:middle line:84%
terminus and Y ions
from the C terminus.

00:22:39.350 --> 00:22:43.280 align:middle line:84%
You'll see that there's a
special case in the region

00:22:43.280 --> 00:22:45.620 align:middle line:84%
that's defined between
the two cross-links

00:22:45.620 --> 00:22:49.160 align:middle line:84%
and that any peptide
bond cleavage that

00:22:49.160 --> 00:22:51.860 align:middle line:84%
might occur in the gas
phase when colliding

00:22:51.860 --> 00:22:54.650 align:middle line:84%
with argon or some
other inert gas

00:22:54.650 --> 00:22:58.190 align:middle line:90%
will break the chain as usual.

00:22:58.190 --> 00:23:00.260 align:middle line:84%
But the chain won't
fall apart because it's

00:23:00.260 --> 00:23:01.950 align:middle line:90%
got actually two connections.

00:23:01.950 --> 00:23:03.750 align:middle line:84%
One is through the
normal peptide bond.

00:23:03.750 --> 00:23:05.417 align:middle line:84%
And the other is
through the cross-link.

00:23:05.417 --> 00:23:07.080 align:middle line:84%
So cleavage is all
through in here.

00:23:07.080 --> 00:23:09.680 align:middle line:84%
It takes two hits to
get separation of these,

00:23:09.680 --> 00:23:11.930 align:middle line:90%
and two hits is unlikely.

00:23:11.930 --> 00:23:15.410 align:middle line:84%
And so, you'll tend to see
the B ions in the Y ions

00:23:15.410 --> 00:23:18.410 align:middle line:84%
right up until you hit the
first cross-linked amino acid,

00:23:18.410 --> 00:23:20.460 align:middle line:90%
and then you lose it.

00:23:20.460 --> 00:23:21.890 align:middle line:84%
So that's one of
the complications

00:23:21.890 --> 00:23:23.810 align:middle line:90%
that you have from cross-links.

00:23:23.810 --> 00:23:26.540 align:middle line:84%
The other one that when you
have, say, cross-linking

00:23:26.540 --> 00:23:28.370 align:middle line:84%
two peptides, might
occur when you

00:23:28.370 --> 00:23:30.890 align:middle line:84%
have an interaction
between different proteins,

00:23:30.890 --> 00:23:35.390 align:middle line:84%
is you'll now have two sets of
B ions and two sets of Y ions.

00:23:35.390 --> 00:23:38.570 align:middle line:84%
As If just having B and Y in
the same spectrum isn't enough,

00:23:38.570 --> 00:23:43.160 align:middle line:84%
now you've got two
of each, and even

00:23:43.160 --> 00:23:46.170 align:middle line:84%
though you don't have
the cycle to worry about,

00:23:46.170 --> 00:23:47.690 align:middle line:90%
you have a full set.

00:23:47.690 --> 00:23:52.640 align:middle line:84%
But there is a algorithm
that Tim Shen and others

00:23:52.640 --> 00:23:57.180 align:middle line:84%
have developed for dealing
with that in very clean cases.

00:23:57.180 --> 00:24:01.850 align:middle line:84%
And here's an example of
actually using the cross-links

00:24:01.850 --> 00:24:05.840 align:middle line:84%
that you get from mass
spectrometry as a fairly

00:24:05.840 --> 00:24:08.360 align:middle line:84%
inexpensive set of
constraints that you

00:24:08.360 --> 00:24:12.140 align:middle line:84%
can use for getting distances
either intramolecularly

00:24:12.140 --> 00:24:15.290 align:middle line:84%
in this case or
conceivably intermolecular.

00:24:15.290 --> 00:24:18.120 align:middle line:90%
And the constraints.

00:24:18.120 --> 00:24:21.260 align:middle line:84%
You can't get any bigger than
the cross-linked distance.

00:24:21.260 --> 00:24:24.500 align:middle line:84%
You know that the chemical
structure of the cross-linker,

00:24:24.500 --> 00:24:27.200 align:middle line:84%
and so you can say these two
amino acids with their side

00:24:27.200 --> 00:24:29.270 align:middle line:84%
chains and so forth
are reacting have

00:24:29.270 --> 00:24:31.860 align:middle line:90%
to be this link or shorter.

00:24:31.860 --> 00:24:34.010 align:middle line:84%
And that's what these
little yellow lines indicate

00:24:34.010 --> 00:24:39.170 align:middle line:84%
in this fibroblast growth factor
two, FGF two, where the crystal

00:24:39.170 --> 00:24:41.450 align:middle line:90%
structure of FGF two is known.

00:24:41.450 --> 00:24:44.390 align:middle line:84%
And these constraints
will greatly

00:24:44.390 --> 00:24:47.300 align:middle line:84%
aid your ability to
find distant homologs

00:24:47.300 --> 00:24:53.540 align:middle line:84%
or to increase the precision
of your homology modeling

00:24:53.540 --> 00:24:54.680 align:middle line:90%
in three dimensions.

00:24:54.680 --> 00:24:58.430 align:middle line:90%


00:24:58.430 --> 00:25:01.790 align:middle line:84%
The shorter you cross-link,
obviously, the better, the

00:25:01.790 --> 00:25:04.490 align:middle line:84%
tighter your constraints, but
it might reduce the efficiency

00:25:04.490 --> 00:25:05.210 align:middle line:90%
of cross-linking.

00:25:05.210 --> 00:25:08.000 align:middle line:84%
If you're doing this as
artificial cross-linking as

00:25:08.000 --> 00:25:10.188 align:middle line:84%
opposed to if you have
a natural cross-linking,

00:25:10.188 --> 00:25:12.230 align:middle line:84%
you're basically stuck
with whatever the natural.

00:25:12.230 --> 00:25:15.680 align:middle line:84%
This was an artificial
cross-linking

00:25:15.680 --> 00:25:19.130 align:middle line:84%
with a chemical cross-linker,
or five functional cross-linker.

00:25:19.130 --> 00:25:20.550 align:middle line:90%
That's just a reminder.

00:25:20.550 --> 00:25:24.170 align:middle line:84%
This is a different way of
showing some of the things.

00:25:24.170 --> 00:25:28.070 align:middle line:84%
We had a scatterplot
last class, which

00:25:28.070 --> 00:25:30.680 align:middle line:84%
showed that as you
increase the sequence

00:25:30.680 --> 00:25:36.530 align:middle line:84%
identity in homology modeling
up to 100% on the vertical axis,

00:25:36.530 --> 00:25:42.020 align:middle line:84%
you decrease your
uncertainty and the observed

00:25:42.020 --> 00:25:44.930 align:middle line:84%
root mean square deviation that
you get between two structures.

00:25:44.930 --> 00:25:48.210 align:middle line:90%
But they're better than 80%.

00:25:48.210 --> 00:25:49.790 align:middle line:84%
Then you have in
the order of one

00:25:49.790 --> 00:25:52.520 align:middle line:84%
Angstrom deviation,
which is quite

00:25:52.520 --> 00:25:54.860 align:middle line:90%
acceptable for many purposes.

00:25:54.860 --> 00:25:57.080 align:middle line:84%
Now, if you want to do
threading to very distantly

00:25:57.080 --> 00:26:00.050 align:middle line:84%
related structures
getting down around 30%

00:26:00.050 --> 00:26:03.932 align:middle line:84%
is getting at 25% is getting the
Twilight Zone, where you really

00:26:03.932 --> 00:26:04.640 align:middle line:90%
can't believe it.

00:26:04.640 --> 00:26:07.640 align:middle line:90%
It's off by too many angstroms.

00:26:07.640 --> 00:26:09.710 align:middle line:84%
But these constraints
in the previous slide

00:26:09.710 --> 00:26:13.040 align:middle line:84%
could help you out in either
doing the mozzie modeling

00:26:13.040 --> 00:26:14.510 align:middle line:84%
or doing a threading
where you're

00:26:14.510 --> 00:26:16.400 align:middle line:84%
searching through
your favorite sequence

00:26:16.400 --> 00:26:20.150 align:middle line:84%
through a database of
three-dimensional structures

00:26:20.150 --> 00:26:22.760 align:middle line:84%
to ask which three-dimensional
structure is closest to.

00:26:22.760 --> 00:26:25.250 align:middle line:84%
Now that FGF two, we
had two slides back

00:26:25.250 --> 00:26:28.490 align:middle line:84%
with all these constraints can
be run through the threading

00:26:28.490 --> 00:26:32.090 align:middle line:84%
algorithm, where you run the
sequence through the database

00:26:32.090 --> 00:26:34.730 align:middle line:84%
illustrated here
to this horizontal,

00:26:34.730 --> 00:26:39.560 align:middle line:84%
then to the various rows of
different structures here.

00:26:39.560 --> 00:26:43.880 align:middle line:84%
The fold family is in the
second column from the left.

00:26:43.880 --> 00:26:46.940 align:middle line:84%
The sequence identity
of our search sequence,

00:26:46.940 --> 00:26:49.610 align:middle line:84%
which is FGF two, against
all these three-dimensional

00:26:49.610 --> 00:26:52.610 align:middle line:84%
structures that present
identity here 98.6

00:26:52.610 --> 00:26:56.000 align:middle line:84%
is basically, that's
the same structure.

00:26:56.000 --> 00:26:59.800 align:middle line:84%
That's the trivial example
because threading rank

00:26:59.800 --> 00:27:01.880 align:middle line:84%
is number one, as it should
be since it's exactly

00:27:01.880 --> 00:27:04.280 align:middle line:84%
the same structure-- almost
exactly the same structure.

00:27:04.280 --> 00:27:05.740 align:middle line:84%
The constraint
area, of course, is

00:27:05.740 --> 00:27:11.480 align:middle line:84%
going to be zero because all
three-dimensional structure,

00:27:11.480 --> 00:27:15.020 align:middle line:84%
and all the cross-links
work to that structure.

00:27:15.020 --> 00:27:17.240 align:middle line:84%
But an interesting
one now this has

00:27:17.240 --> 00:27:19.190 align:middle line:84%
been ranked by the
constraint error,

00:27:19.190 --> 00:27:21.800 align:middle line:90%
not by the threading rank.

00:27:21.800 --> 00:27:25.280 align:middle line:84%
And so you can ask does
this improve the hits?

00:27:25.280 --> 00:27:29.870 align:middle line:84%
And the next one down is FGF
two compared to aisle one data,

00:27:29.870 --> 00:27:32.060 align:middle line:84%
and they do have the
same fold family.

00:27:32.060 --> 00:27:34.160 align:middle line:84%
We know that from
three-dimensional structure,

00:27:34.160 --> 00:27:37.940 align:middle line:84%
and the percent identity is way
below the usual cutoff where

00:27:37.940 --> 00:27:41.240 align:middle line:84%
you can't infer from
threading or sequencing.

00:27:41.240 --> 00:27:43.260 align:middle line:84%
In fact, the threading
rank is five.

00:27:43.260 --> 00:27:45.710 align:middle line:90%
It's not the second-best thread.

00:27:45.710 --> 00:27:47.660 align:middle line:84%
But it's a straight
arrow zero, and so

00:27:47.660 --> 00:27:49.820 align:middle line:84%
if you combine
the good threading

00:27:49.820 --> 00:27:51.500 align:middle line:84%
rank in the constraint
error, then you

00:27:51.500 --> 00:27:57.110 align:middle line:84%
would put this as your best
just homolog 12% to 13% sequence

00:27:57.110 --> 00:27:58.110 align:middle line:90%
identity.

00:27:58.110 --> 00:28:01.370 align:middle line:84%
And of course, it's beating
out better threading ranks

00:28:01.370 --> 00:28:04.200 align:middle line:84%
because it has fewer
constraint errors.

00:28:04.200 --> 00:28:07.250 align:middle line:84%
So you can see how powerful
these constraints might be,

00:28:07.250 --> 00:28:09.800 align:middle line:84%
and it's certainly--
you just need

00:28:09.800 --> 00:28:12.740 align:middle line:84%
to evaluate just
exactly how cost

00:28:12.740 --> 00:28:15.320 align:middle line:84%
effective the mass
spectrometry is.

00:28:15.320 --> 00:28:20.390 align:middle line:84%
Now last topic today, in the
realm of protein modifications

00:28:20.390 --> 00:28:24.170 align:middle line:84%
and interactions, are how
we quantitate metabolites.

00:28:24.170 --> 00:28:27.770 align:middle line:84%
Now you can see that we've
got some momentum here

00:28:27.770 --> 00:28:31.100 align:middle line:84%
on quantitative
proteins in RNAs.

00:28:31.100 --> 00:28:33.530 align:middle line:84%
And so what are the
issues that are slightly

00:28:33.530 --> 00:28:35.330 align:middle line:90%
different from metabolites?

00:28:35.330 --> 00:28:38.420 align:middle line:84%
And Slide 52 summarizes
some of these.

00:28:38.420 --> 00:28:45.080 align:middle line:84%
You have when you break open a
cell to isolate messenger RNA

00:28:45.080 --> 00:28:46.190 align:middle line:90%
or proteins.

00:28:46.190 --> 00:28:52.070 align:middle line:84%
There is the rate at which
degradative enzymes act

00:28:52.070 --> 00:28:55.760 align:middle line:90%
is on the order of seconds.

00:28:55.760 --> 00:28:57.710 align:middle line:84%
That's the rate
at which they go,

00:28:57.710 --> 00:29:00.380 align:middle line:84%
while many of other
metabolic processes

00:29:00.380 --> 00:29:03.290 align:middle line:84%
take on the order of
milliseconds to microseconds.

00:29:03.290 --> 00:29:05.750 align:middle line:84%
Very rapid kinetics,
and so as the cell

00:29:05.750 --> 00:29:08.660 align:middle line:84%
starts to get a little bit
sick on the second range,

00:29:08.660 --> 00:29:15.290 align:middle line:84%
all these enzymes are scrambling
the metabolites concentrations.

00:29:15.290 --> 00:29:18.230 align:middle line:90%
So you have these rapid changes.

00:29:18.230 --> 00:29:21.380 align:middle line:84%
The detection methods are
historically idiosyncratic.

00:29:21.380 --> 00:29:23.848 align:middle line:84%
They might be enzyme linked,
where you'll have in order

00:29:23.848 --> 00:29:25.640 align:middle line:84%
to detect the metabolite,
you have a series

00:29:25.640 --> 00:29:29.390 align:middle line:84%
of enzymes that result in some
fluorescent or luminescent

00:29:29.390 --> 00:29:30.590 align:middle line:90%
assay.

00:29:30.590 --> 00:29:33.680 align:middle line:84%
Or they could be
gas chromatography,

00:29:33.680 --> 00:29:38.220 align:middle line:84%
liquid chromatography, NMR mass
spectrometer, and so forth.

00:29:38.220 --> 00:29:40.555 align:middle line:84%
The good news is there are
usually fewer metabolites

00:29:40.555 --> 00:29:41.930 align:middle line:84%
than there are
RNAs and proteins.

00:29:41.930 --> 00:29:45.770 align:middle line:84%
There could be 30,000, some
RNAs and proteins typically only

00:29:45.770 --> 00:29:50.750 align:middle line:84%
1,000 or so metabolites,
even in the more exotic,

00:29:50.750 --> 00:29:56.640 align:middle line:84%
the metabolically
enabled such as E Coli.

00:29:56.640 --> 00:30:00.240 align:middle line:84%
Here, from their
various databases,

00:30:00.240 --> 00:30:07.020 align:middle line:84%
ecosite, width, tag,
and so on, which

00:30:07.020 --> 00:30:13.330 align:middle line:84%
integrate information about
metabolites with the enzymes

00:30:13.330 --> 00:30:14.580 align:middle line:90%
to act upon them.

00:30:14.580 --> 00:30:19.320 align:middle line:84%
Here, we're just looking at
the mass range that we have.

00:30:19.320 --> 00:30:21.570 align:middle line:84%
Typical mass range,
they're very small

00:30:21.570 --> 00:30:23.940 align:middle line:90%
compared to proteins in RNAs.

00:30:23.940 --> 00:30:27.040 align:middle line:84%
Most of them being around
200 atomic mass units.

00:30:27.040 --> 00:30:29.700 align:middle line:84%
And many of them having
absolutely identical mass, that

00:30:29.700 --> 00:30:32.430 align:middle line:84%
is to say, they have
atom per atom exactly

00:30:32.430 --> 00:30:34.350 align:middle line:84%
the same composition,
even though it's

00:30:34.350 --> 00:30:36.580 align:middle line:84%
arranged in three
dimensions very differently.

00:30:36.580 --> 00:30:38.250 align:middle line:84%
For example,
isoleucine and leucine,

00:30:38.250 --> 00:30:41.220 align:middle line:84%
as their names might imply,
have exactly the same mass

00:30:41.220 --> 00:30:44.910 align:middle line:84%
no matter how many significant
digits you put on them.

00:30:44.910 --> 00:30:48.510 align:middle line:84%
And this is illustrated
by actual data

00:30:48.510 --> 00:30:51.510 align:middle line:90%
on isoleucine and leucine.

00:30:51.510 --> 00:30:56.070 align:middle line:84%
These supposedly highly purified
versions commercially available

00:30:56.070 --> 00:30:59.400 align:middle line:84%
of isoleucine and leucine
mixed together here and run out

00:30:59.400 --> 00:31:02.070 align:middle line:84%
in these two dimensions of
mass and the horizontal axis

00:31:02.070 --> 00:31:04.620 align:middle line:84%
and retention time and
hydrophobic separation.

00:31:04.620 --> 00:31:09.030 align:middle line:84%
Now, not a peptides but amino
acids, metabolites, and you

00:31:09.030 --> 00:31:13.770 align:middle line:84%
can see how that even though
they are identical in mass,

00:31:13.770 --> 00:31:18.270 align:middle line:84%
as shown on the previous
slide around 131,

00:31:18.270 --> 00:31:22.860 align:middle line:84%
they are separable by
their hydrophobicity.

00:31:22.860 --> 00:31:26.280 align:middle line:84%
They have the same
atomic composition,

00:31:26.280 --> 00:31:30.490 align:middle line:84%
but they are separable just by
this hydrophobic separation.

00:31:30.490 --> 00:31:32.790 align:middle line:84%
And you can see in
the commercial press,

00:31:32.790 --> 00:31:35.670 align:middle line:84%
there are a variety of
contaminating molecules

00:31:35.670 --> 00:31:39.930 align:middle line:84%
that co-migrate in their
reverse-phase dimension,

00:31:39.930 --> 00:31:42.330 align:middle line:84%
presumably because
something like reverse phase

00:31:42.330 --> 00:31:44.565 align:middle line:84%
is used for purifying
them commercially.

00:31:44.565 --> 00:31:47.360 align:middle line:90%


00:31:47.360 --> 00:31:49.430 align:middle line:84%
So there are
basically three ways

00:31:49.430 --> 00:31:56.600 align:middle line:84%
of distinguishing molecules
that have the same mass.

00:31:56.600 --> 00:32:00.410 align:middle line:84%
The one in the previous
slide was separating them

00:32:00.410 --> 00:32:03.050 align:middle line:84%
by another property,
like retention time

00:32:03.050 --> 00:32:05.280 align:middle line:90%
on hydrophobic properties.

00:32:05.280 --> 00:32:07.670 align:middle line:84%
Another one is
secondary fragmentation.

00:32:07.670 --> 00:32:09.470 align:middle line:84%
Just as we could
fragment peptides

00:32:09.470 --> 00:32:12.920 align:middle line:84%
by collision in the gas
phase with some inert gas,

00:32:12.920 --> 00:32:14.450 align:middle line:90%
we can do this with metabolites.

00:32:14.450 --> 00:32:18.020 align:middle line:84%
And so two things that
have the same mass

00:32:18.020 --> 00:32:20.348 align:middle line:84%
may have a different
fragmentation pattern.

00:32:20.348 --> 00:32:21.890 align:middle line:84%
And you can see
again, you can cleave

00:32:21.890 --> 00:32:24.110 align:middle line:84%
it every particular
position, and here are

00:32:24.110 --> 00:32:27.020 align:middle line:84%
two different aspects
and two different labs.

00:32:27.020 --> 00:32:30.650 align:middle line:84%
Slightly different methodology
showing fragmentation

00:32:30.650 --> 00:32:33.560 align:middle line:90%
in almost every carbon bond.

00:32:33.560 --> 00:32:41.630 align:middle line:84%
The third method by
which you can distinguish

00:32:41.630 --> 00:32:44.510 align:middle line:84%
compounds that have exactly the
same mass, and this case this

00:32:44.510 --> 00:32:47.510 align:middle line:90%
is the most extreme case.

00:32:47.510 --> 00:32:53.510 align:middle line:84%
These compounds
have the same mass.

00:32:53.510 --> 00:32:56.592 align:middle line:84%
They actually not only have
the same chemical composition,

00:32:56.592 --> 00:32:58.550 align:middle line:84%
the same atomic composition,
they actually have

00:32:58.550 --> 00:32:59.720 align:middle line:90%
the same chemical structure.

00:32:59.720 --> 00:33:01.310 align:middle line:84%
Their three dimensions
are the same.

00:33:01.310 --> 00:33:02.720 align:middle line:90%
Their mass is the same.

00:33:02.720 --> 00:33:04.610 align:middle line:90%
What it is is this--

00:33:04.610 --> 00:33:06.890 align:middle line:84%
let's say, the red
is a carbon-13,

00:33:06.890 --> 00:33:08.930 align:middle line:90%
and the green are the carbon-12.

00:33:08.930 --> 00:33:12.830 align:middle line:84%
You can have the carbon-13 in
different positions on this,

00:33:12.830 --> 00:33:15.360 align:middle line:90%
say, this glucose molecule.

00:33:15.360 --> 00:33:18.350 align:middle line:84%
So it has the same
four-dimensional structure,

00:33:18.350 --> 00:33:19.340 align:middle line:90%
the same mass.

00:33:19.340 --> 00:33:21.620 align:middle line:84%
It's just you moved the
position of the C-13

00:33:21.620 --> 00:33:22.850 align:middle line:90%
to different positions.

00:33:22.850 --> 00:33:24.740 align:middle line:84%
This is actually
an interesting case

00:33:24.740 --> 00:33:28.670 align:middle line:84%
when you have natural
abundance glucose, where

00:33:28.670 --> 00:33:33.050 align:middle line:84%
you have C-13 trace
amounts, it can

00:33:33.050 --> 00:33:35.510 align:middle line:84%
be positioned on various
different carbon atoms.

00:33:35.510 --> 00:33:39.950 align:middle line:84%
But you can still tell
where it is, by when it--

00:33:39.950 --> 00:33:42.440 align:middle line:84%
it's now not broken
down in the gas phase

00:33:42.440 --> 00:33:45.050 align:middle line:84%
like collision-induced
dissociation.

00:33:45.050 --> 00:33:47.000 align:middle line:84%
But it's broken
down in the cell.

00:33:47.000 --> 00:33:48.458 align:middle line:84%
It goes through
different pathways.

00:33:48.458 --> 00:33:49.958 align:middle line:84%
And this is the
example-- that we're

00:33:49.958 --> 00:33:52.100 align:middle line:84%
going to be talking
about pathways non-stop

00:33:52.100 --> 00:33:54.285 align:middle line:90%
for the next three sessions.

00:33:54.285 --> 00:33:56.660 align:middle line:84%
But here's an example of
central carbon metabolism, where

00:33:56.660 --> 00:33:58.640 align:middle line:84%
you start with glucose
and glucose phosphate

00:33:58.640 --> 00:34:02.540 align:middle line:84%
in the upper left-hand corner
of this network diagram,

00:34:02.540 --> 00:34:05.570 align:middle line:84%
and you end up with carbon
dioxide down on the lower left.

00:34:05.570 --> 00:34:07.610 align:middle line:84%
And it can go through
various pathways

00:34:07.610 --> 00:34:13.969 align:middle line:84%
through ribulose or down
through three carbons.

00:34:13.969 --> 00:34:16.610 align:middle line:84%
And each of these three and
two carbon breakdown products

00:34:16.610 --> 00:34:21.320 align:middle line:84%
can have the labeled
atom, the mass tagged atom

00:34:21.320 --> 00:34:23.550 align:middle line:90%
in different positions.

00:34:23.550 --> 00:34:26.090 align:middle line:84%
And as this quote
from literature

00:34:26.090 --> 00:34:28.340 align:middle line:84%
points out that when
you want to study

00:34:28.340 --> 00:34:30.949 align:middle line:84%
the fluxes through the
pathway, by monitoring,

00:34:30.949 --> 00:34:36.889 align:middle line:84%
you can actually do a pulse
or a stable steady-state

00:34:36.889 --> 00:34:39.199 align:middle line:90%
labeling with isotopic labels.

00:34:39.199 --> 00:34:41.449 align:middle line:84%
And you can monitor the
fluxes through these pathways.

00:34:41.449 --> 00:34:43.429 align:middle line:84%
But you need to
take into account

00:34:43.429 --> 00:34:46.699 align:middle line:84%
all the different ways that you
can go through the pathways.

00:34:46.699 --> 00:34:51.080 align:middle line:84%
Especially, when you're doing
metabolic cycles like the TCA

00:34:51.080 --> 00:34:58.190 align:middle line:84%
cycle or you have to think
through all the multiple turns.

00:34:58.190 --> 00:35:01.940 align:middle line:84%
Now, in principle, that
kind of metabolic tracing

00:35:01.940 --> 00:35:05.120 align:middle line:84%
can be done either
with mass spectrometry

00:35:05.120 --> 00:35:10.160 align:middle line:84%
or with nuclear
magnetic resonance.

00:35:10.160 --> 00:35:13.220 align:middle line:84%
When you do quantitative 2D
nuclear magnetic resonance,

00:35:13.220 --> 00:35:16.730 align:middle line:84%
you're basically
looking at the shifts

00:35:16.730 --> 00:35:21.037 align:middle line:84%
in the spectral quantities
for the carbon-13s.

00:35:21.037 --> 00:35:23.120 align:middle line:84%
Remember, we were talking
about carbon-13 labeling

00:35:23.120 --> 00:35:26.555 align:middle line:84%
and the normal, most
abundant protons.

00:35:26.555 --> 00:35:29.540 align:middle line:90%


00:35:29.540 --> 00:35:31.430 align:middle line:84%
The chemical shifts
here that you

00:35:31.430 --> 00:35:34.520 align:middle line:84%
get are due to
the exact chemical

00:35:34.520 --> 00:35:39.170 align:middle line:84%
environment of this proton
or the carbon-13 for, say,

00:35:39.170 --> 00:35:44.960 align:middle line:84%
the alpha for each of these
amino acids, alpha betas.

00:35:44.960 --> 00:35:46.970 align:middle line:84%
And each of these
little clusters

00:35:46.970 --> 00:35:54.350 align:middle line:84%
are schematic for the intensity
of these particular atoms

00:35:54.350 --> 00:35:59.060 align:middle line:84%
that you're monitoring by their
isotope effects on the NMR

00:35:59.060 --> 00:35:59.690 align:middle line:90%
here.

00:35:59.690 --> 00:36:07.200 align:middle line:84%
The odd number of nucleons
is critical to the detection.

00:36:07.200 --> 00:36:12.470 align:middle line:84%
OK, so if you know the
structure of the network,

00:36:12.470 --> 00:36:16.040 align:middle line:84%
then you can use that
knowledge, and you

00:36:16.040 --> 00:36:20.000 align:middle line:84%
know which of these atoms go
into which parts, then you

00:36:20.000 --> 00:36:25.100 align:middle line:84%
can use this to quantitate
the fluxes through any point

00:36:25.100 --> 00:36:26.070 align:middle line:90%
in the network.

00:36:26.070 --> 00:36:28.730 align:middle line:84%
On the other hand, if you
only know part of the network,

00:36:28.730 --> 00:36:30.950 align:middle line:84%
then you can use this
way as a tracking

00:36:30.950 --> 00:36:37.850 align:middle line:84%
to slowly piece together
how the network must go.

00:36:37.850 --> 00:36:42.050 align:middle line:84%
Most of this is both worked
out well before genomics

00:36:42.050 --> 00:36:45.170 align:middle line:84%
and our current systems
Biology methods,

00:36:45.170 --> 00:36:47.700 align:middle line:84%
and so there aren't real
algorithms for doing this

00:36:47.700 --> 00:36:48.720 align:middle line:90%
as far as I know.

00:36:48.720 --> 00:36:51.210 align:middle line:84%
Although, certainly, there's
an opportunity for doing it.

00:36:51.210 --> 00:36:53.850 align:middle line:84%
Now, this is measuring--
remember this ratios

00:36:53.850 --> 00:36:54.870 align:middle line:90%
versus absolute amounts.

00:36:54.870 --> 00:36:57.270 align:middle line:84%
This is measuring
not only ratios

00:36:57.270 --> 00:36:59.270 align:middle line:90%
of metabolite concentrations.

00:36:59.270 --> 00:37:01.680 align:middle line:84%
These are not metabolite
concentrations, but fluxes.

00:37:01.680 --> 00:37:10.920 align:middle line:84%
So with metabolites, you
can measure concentrations

00:37:10.920 --> 00:37:13.470 align:middle line:90%
or fluxes absolute or ratios.

00:37:13.470 --> 00:37:15.690 align:middle line:90%
All four of those combinations.

00:37:15.690 --> 00:37:18.030 align:middle line:84%
Now, let's say--
again, in principle,

00:37:18.030 --> 00:37:20.370 align:middle line:84%
if you can measure
absolute concentrations,

00:37:20.370 --> 00:37:24.502 align:middle line:84%
you can measure ratios, and you
can measure ratios of fluxes.

00:37:24.502 --> 00:37:26.460 align:middle line:84%
So how will you measure
absolute concentration?

00:37:26.460 --> 00:37:28.335 align:middle line:84%
So remember, we said
that one of the problems

00:37:28.335 --> 00:37:30.580 align:middle line:84%
was that as soon as
you start perturbing

00:37:30.580 --> 00:37:34.870 align:middle line:84%
the cell in microseconds,
you can get changes.

00:37:34.870 --> 00:37:37.530 align:middle line:84%
But one way to do this is
without slicing the cells.

00:37:37.530 --> 00:37:40.470 align:middle line:90%
You can snap freeze them first.

00:37:40.470 --> 00:37:47.760 align:middle line:84%
Yes, snap expose them to
aqueous methanol at -40.

00:37:47.760 --> 00:37:49.830 align:middle line:84%
You can wash them at
that, it's a liquid,

00:37:49.830 --> 00:37:52.260 align:middle line:84%
and you can remove the
outside metabolites.

00:37:52.260 --> 00:37:55.560 align:middle line:84%
And there's reason
to believe that this

00:37:55.560 --> 00:37:59.760 align:middle line:84%
is the minimally perturbing
method of preparing the cells.

00:37:59.760 --> 00:38:03.060 align:middle line:84%
And then you put them in
basically boiling alcohol,

00:38:03.060 --> 00:38:07.320 align:middle line:84%
and then quantitate with
NMR methods such as the ones

00:38:07.320 --> 00:38:13.050 align:middle line:84%
we just talked about, getting
up to 1,300 measures per sample.

00:38:13.050 --> 00:38:15.720 align:middle line:84%
Some examples of some of
these internal metabolite

00:38:15.720 --> 00:38:18.180 align:middle line:84%
concentration, now, remember,
these are not flux ratios.

00:38:18.180 --> 00:38:20.100 align:middle line:84%
But actual metabolite
concentrations

00:38:20.100 --> 00:38:23.310 align:middle line:84%
of things like glucose
phosphate, ATP,

00:38:23.310 --> 00:38:28.860 align:middle line:84%
pyruvate, so on, can be
correlated to genomics

00:38:28.860 --> 00:38:32.290 align:middle line:84%
by the vehicle of
gene knockouts.

00:38:32.290 --> 00:38:35.370 align:middle line:84%
We have wild type on
the top of the far left,

00:38:35.370 --> 00:38:37.950 align:middle line:90%
followed by a deletion of HO.

00:38:37.950 --> 00:38:40.140 align:middle line:84%
This is a homing in
the nucleus, should

00:38:40.140 --> 00:38:42.780 align:middle line:84%
have no metabolic
consequences at all.

00:38:42.780 --> 00:38:43.920 align:middle line:90%
This is used as a control.

00:38:43.920 --> 00:38:45.810 align:middle line:84%
It's a pseudo wild
type, just shows

00:38:45.810 --> 00:38:48.750 align:middle line:84%
that the deletion method
itself is not changing

00:38:48.750 --> 00:38:50.808 align:middle line:90%
things, the metabolism.

00:38:50.808 --> 00:38:53.100 align:middle line:84%
And then, as you go further
and further down this list,

00:38:53.100 --> 00:38:57.540 align:middle line:84%
you get more and more
severe expected effects

00:38:57.540 --> 00:39:00.390 align:middle line:84%
on the ability of the organism,
say to produce energy,

00:39:00.390 --> 00:39:04.350 align:middle line:84%
as exemplified by
its ATP production.

00:39:04.350 --> 00:39:06.780 align:middle line:84%
Now, if you have
low ATP production,

00:39:06.780 --> 00:39:08.850 align:middle line:84%
that means you have
high residual levels

00:39:08.850 --> 00:39:12.277 align:middle line:84%
of ATP, which is the other
end of the energy spectrum.

00:39:12.277 --> 00:39:13.860 align:middle line:84%
And so if you look
down these columns,

00:39:13.860 --> 00:39:17.250 align:middle line:84%
it's a little hard to see with
all the clutter that's produced

00:39:17.250 --> 00:39:18.413 align:middle line:90%
by the standard deviations.

00:39:18.413 --> 00:39:20.955 align:middle line:84%
I wouldn't want them to get rid
of those standard deviations.

00:39:20.955 --> 00:39:25.350 align:middle line:84%
It's wonderful, but anyway,
you can summarize this

00:39:25.350 --> 00:39:27.760 align:middle line:84%
by looking at the
ATP to ADP ratio.

00:39:27.760 --> 00:39:30.430 align:middle line:84%
That's a way you don't need
ratios for this to work.

00:39:30.430 --> 00:39:36.030 align:middle line:84%
But it's a way of accentuating
this energy balance,

00:39:36.030 --> 00:39:38.970 align:middle line:84%
and so you can see, for a wild
type, you have about almost 7

00:39:38.970 --> 00:39:41.490 align:middle line:90%
is the ratio of ATP to ADP.

00:39:41.490 --> 00:39:44.430 align:middle line:84%
Highly charged on this
high energy state.

00:39:44.430 --> 00:39:46.710 align:middle line:84%
And as you get to these
pet mutants, which

00:39:46.710 --> 00:39:50.520 align:middle line:84%
are mutations in the
mitochondrial process,

00:39:50.520 --> 00:39:54.300 align:middle line:84%
you find the cell is becoming
increasingly ineffective.

00:39:54.300 --> 00:39:59.970 align:middle line:84%
Now, these were all
chosen because these were

00:39:59.970 --> 00:40:01.580 align:middle line:90%
so-called silent mutations.

00:40:01.580 --> 00:40:04.800 align:middle line:84%
The title of this paper says
that you can get phenotype

00:40:04.800 --> 00:40:07.860 align:middle line:84%
by looking at the molecular
analysis quantitating

00:40:07.860 --> 00:40:11.820 align:middle line:84%
the whole holistically,
systematically

00:40:11.820 --> 00:40:13.560 align:middle line:84%
all the metabolites
for things that

00:40:13.560 --> 00:40:18.060 align:middle line:90%
otherwise have no phenotypes.

00:40:18.060 --> 00:40:20.400 align:middle line:90%
OK.

00:40:20.400 --> 00:40:24.150 align:middle line:84%
Now, this representa--
as you start

00:40:24.150 --> 00:40:27.420 align:middle line:84%
quantitating whole proteomics,
proteome interactions,

00:40:27.420 --> 00:40:31.320 align:middle line:84%
proteome modifications,
metabolites

00:40:31.320 --> 00:40:33.150 align:middle line:84%
in their interactions,
you start wanting

00:40:33.150 --> 00:40:35.310 align:middle line:90%
to relay this information.

00:40:35.310 --> 00:40:37.860 align:middle line:84%
Summarize this information
in the context of models.

00:40:37.860 --> 00:40:42.150 align:middle line:84%
And just as last time, the
upper left-hand portion

00:40:42.150 --> 00:40:49.142 align:middle line:84%
of this summary, I emphasize
that no model is exact.

00:40:49.142 --> 00:40:50.850 align:middle line:84%
Sometimes the people
working in the field

00:40:50.850 --> 00:40:54.870 align:middle line:84%
convince themselves that it's
more exact than lower models.

00:40:54.870 --> 00:40:58.470 align:middle line:84%
But every one of these,
even the quantum mechanics,

00:40:58.470 --> 00:41:01.080 align:middle line:84%
is a poor approximation
of electrodynamics,

00:41:01.080 --> 00:41:05.100 align:middle line:84%
and molecular mechanics has only
spherical atoms represented.

00:41:05.100 --> 00:41:08.220 align:middle line:84%
Some of the most
challenging cell models

00:41:08.220 --> 00:41:10.320 align:middle line:84%
involve massive
equations of stochastic.

00:41:10.320 --> 00:41:12.560 align:middle line:84%
Now, we're not talking
about single atoms anymore.

00:41:12.560 --> 00:41:14.102 align:middle line:84%
We're talking about
single molecules.

00:41:14.102 --> 00:41:18.120 align:middle line:84%
Still it's too coarse
for many experiments.

00:41:18.120 --> 00:41:21.060 align:middle line:84%
You can have
phenomenological rates,

00:41:21.060 --> 00:41:23.190 align:middle line:84%
such as the ones we've
been talking about,

00:41:23.190 --> 00:41:25.470 align:middle line:84%
represented in ordinary
differentiable equations.

00:41:25.470 --> 00:41:29.070 align:middle line:84%
How do you get the
parameters that describe now

00:41:29.070 --> 00:41:30.360 align:middle line:90%
concentration and time?

00:41:30.360 --> 00:41:34.980 align:middle line:84%
Not single molecules,
but treating them

00:41:34.980 --> 00:41:38.280 align:middle line:84%
as a bag of a particular
part of the cell,

00:41:38.280 --> 00:41:40.530 align:middle line:84%
or the whole cell having
a particular concentration

00:41:40.530 --> 00:41:42.090 align:middle line:90%
of molecules.

00:41:42.090 --> 00:41:44.223 align:middle line:84%
And then we'll go on as
we get into the network

00:41:44.223 --> 00:41:46.640 align:middle line:84%
analysis, and the next few
lectures, we'll talk about some

00:41:46.640 --> 00:41:50.240 align:middle line:84%
of these other models,
which have their roles.

00:41:50.240 --> 00:41:51.770 align:middle line:84%
But let's just get
at-- how would we

00:41:51.770 --> 00:41:57.450 align:middle line:84%
get some of the parameters that
describe concentration in time?

00:41:57.450 --> 00:41:59.420 align:middle line:84%
And when we talk
about the formalism

00:41:59.420 --> 00:42:02.600 align:middle line:84%
of these networks,
regulatory networks,

00:42:02.600 --> 00:42:05.420 align:middle line:90%
mainly are about binding.

00:42:05.420 --> 00:42:08.332 align:middle line:84%
But they intimately connect
with catalytic networks,

00:42:08.332 --> 00:42:10.040 align:middle line:84%
where you not only
bind, but you actually

00:42:10.040 --> 00:42:12.590 align:middle line:84%
change the covalent
structure of molecules.

00:42:12.590 --> 00:42:17.540 align:middle line:84%
In the simplest such
case, single substrate

00:42:17.540 --> 00:42:19.730 align:middle line:84%
going in single
product coming out

00:42:19.730 --> 00:42:23.870 align:middle line:84%
is that the top of
this Slide number 60.

00:42:23.870 --> 00:42:27.020 align:middle line:84%
And here, you can see
that the enzyme E, which

00:42:27.020 --> 00:42:30.650 align:middle line:84%
is typically a protein
and/or but there are RNA

00:42:30.650 --> 00:42:32.750 align:middle line:90%
catalysts and so on.

00:42:32.750 --> 00:42:35.870 align:middle line:84%
But the property
that's emphasized here

00:42:35.870 --> 00:42:38.060 align:middle line:84%
is that the enzyme
is not consumed.

00:42:38.060 --> 00:42:43.630 align:middle line:84%
As A goes in, it makes a
covalent change from EA to EB,

00:42:43.630 --> 00:42:44.870 align:middle line:90%
B is released.

00:42:44.870 --> 00:42:45.980 align:middle line:90%
E is recycled.

00:42:45.980 --> 00:42:49.280 align:middle line:84%
E is not consumed by the
cycle, but A is consumed.

00:42:49.280 --> 00:42:50.000 align:middle line:90%
B is produced.

00:42:50.000 --> 00:42:52.970 align:middle line:90%


00:42:52.970 --> 00:42:55.940 align:middle line:84%
But let's look at it
in a different light.

00:42:55.940 --> 00:42:58.730 align:middle line:84%
In a particularly interesting
class of reactions,

00:42:58.730 --> 00:43:06.440 align:middle line:84%
for example, those involving
the regulatory cascade

00:43:06.440 --> 00:43:10.100 align:middle line:84%
signal transduction
enzyme modifications.

00:43:10.100 --> 00:43:12.560 align:middle line:84%
Here the enzyme now
becomes substrate.

00:43:12.560 --> 00:43:17.360 align:middle line:84%
The ATP is now no longer
consumed in the whole cycle.

00:43:17.360 --> 00:43:22.580 align:middle line:84%
ATP comes in, modifies the
enzyme to a phosphate enzyme.

00:43:22.580 --> 00:43:28.550 align:middle line:84%
And the accompanying
reaction regenerates the--

00:43:28.550 --> 00:43:30.450 align:middle line:90%
turns the ATP back into ATP.

00:43:30.450 --> 00:43:32.850 align:middle line:84%
So the ATP, in a certain
sense, is catalytic here,

00:43:32.850 --> 00:43:37.550 align:middle line:84%
and now the enzyme is consumed,
producing a fossil enzyme.

00:43:37.550 --> 00:43:39.770 align:middle line:84%
So it all depends
on when you started

00:43:39.770 --> 00:43:41.690 align:middle line:90%
constructing these graphs.

00:43:41.690 --> 00:43:44.060 align:middle line:84%
What is the node-- within
the node is a substrate,

00:43:44.060 --> 00:43:48.230 align:middle line:84%
and node is an enzyme,
depends on how you look at it?

00:43:48.230 --> 00:43:51.050 align:middle line:84%
And I do this somewhat
provocatively,

00:43:51.050 --> 00:43:54.620 align:middle line:84%
so you'll think
about these networks

00:43:54.620 --> 00:43:56.930 align:middle line:84%
not just as binding,
but as catalysis.

00:43:56.930 --> 00:44:00.050 align:middle line:84%
And not just the enzyme being
the catalyst, but sometimes

00:44:00.050 --> 00:44:01.440 align:middle line:90%
the substrate as well.

00:44:01.440 --> 00:44:05.000 align:middle line:84%
Now, this is the simplest
case of measuring kinetics.

00:44:05.000 --> 00:44:06.440 align:middle line:90%
This is not equilibrium.

00:44:06.440 --> 00:44:08.510 align:middle line:90%
This is kinetics.

00:44:08.510 --> 00:44:12.140 align:middle line:84%
And we're studying this plot
on the far left-hand side

00:44:12.140 --> 00:44:13.520 align:middle line:90%
of Slide 61.

00:44:13.520 --> 00:44:16.820 align:middle line:84%
As substrate increases, the
rate of production of product

00:44:16.820 --> 00:44:17.960 align:middle line:90%
increases.

00:44:17.960 --> 00:44:22.280 align:middle line:84%
You could start out with zero
product or small amounts,

00:44:22.280 --> 00:44:26.390 align:middle line:84%
and it used to be
historically at bottom,

00:44:26.390 --> 00:44:28.460 align:middle line:84%
you would require to
do the experiment,

00:44:28.460 --> 00:44:30.920 align:middle line:84%
you would require
that the product be

00:44:30.920 --> 00:44:32.210 align:middle line:90%
as close to zero as possible.

00:44:32.210 --> 00:44:36.260 align:middle line:84%
You'd do initial rates, and you
have this simple relationship

00:44:36.260 --> 00:44:38.780 align:middle line:84%
where the increase
in product was

00:44:38.780 --> 00:44:43.220 align:middle line:84%
a simple function
of the 1 over 1

00:44:43.220 --> 00:44:46.770 align:middle line:84%
plus reciprocal of the
substrate concentration.

00:44:46.770 --> 00:44:50.090 align:middle line:84%
And as the substrate
would increase,

00:44:50.090 --> 00:44:52.310 align:middle line:84%
you'd eventually saturate
the amount of enzyme

00:44:52.310 --> 00:44:54.200 align:middle line:84%
that you have present
in the experiment,

00:44:54.200 --> 00:44:57.620 align:middle line:84%
and that would be the maximum
velocity for that amount

00:44:57.620 --> 00:45:01.400 align:middle line:90%
of enzyme would be max.

00:45:01.400 --> 00:45:04.220 align:middle line:84%
However, if you have a
more full equation where

00:45:04.220 --> 00:45:06.620 align:middle line:84%
you take into account
all the players, at least

00:45:06.620 --> 00:45:11.540 align:middle line:84%
in the simplest system, the
forward velocity, the PDT

00:45:11.540 --> 00:45:15.920 align:middle line:84%
the derivative of
product concentration

00:45:15.920 --> 00:45:18.680 align:middle line:84%
as a subject of time, this
might be in mol/Ls per liter.

00:45:18.680 --> 00:45:22.490 align:middle line:84%
It's going to go up as
a substrate goes up.

00:45:22.490 --> 00:45:24.512 align:middle line:84%
More substrate means
it will go faster

00:45:24.512 --> 00:45:26.220 align:middle line:84%
in the forward direction
towards product.

00:45:26.220 --> 00:45:27.720 align:middle line:84%
But if you have
some product, you'll

00:45:27.720 --> 00:45:29.360 align:middle line:90%
have some product inhibition.

00:45:29.360 --> 00:45:32.360 align:middle line:84%
You'll have a tendency
the kinetics to go

00:45:32.360 --> 00:45:33.540 align:middle line:90%
in the opposite direction.

00:45:33.540 --> 00:45:35.810 align:middle line:84%
So this is negative--
there's a negative component

00:45:35.810 --> 00:45:38.780 align:middle line:90%
with products.

00:45:38.780 --> 00:45:42.080 align:middle line:84%
The KS and KP are sometimes
called Nikolaus constants

00:45:42.080 --> 00:45:46.490 align:middle line:84%
as the substrate gets closer
to the Nikolaus constant.

00:45:46.490 --> 00:45:49.550 align:middle line:84%
This is basically
related to the binding

00:45:49.550 --> 00:45:51.110 align:middle line:90%
affinity for the substrate.

00:45:51.110 --> 00:45:55.910 align:middle line:84%
And that's a natural
halfway point where

00:45:55.910 --> 00:46:00.710 align:middle line:84%
the substrate is half
saturating is roughly

00:46:00.710 --> 00:46:03.350 align:middle line:90%
what the KS is all about.

00:46:03.350 --> 00:46:05.790 align:middle line:84%
Now let's compare
this very simple case.

00:46:05.790 --> 00:46:08.013 align:middle line:84%
We have one substrate
producing one product

00:46:08.013 --> 00:46:10.430 align:middle line:84%
to a more typical case where
you might have two substrates

00:46:10.430 --> 00:46:12.200 align:middle line:90%
producing two products.

00:46:12.200 --> 00:46:14.180 align:middle line:84%
And let's take this
out of a real network.

00:46:14.180 --> 00:46:16.472 align:middle line:84%
We're going to show this real
network in just a moment,

00:46:16.472 --> 00:46:18.050 align:middle line:90%
and it's all slurry.

00:46:18.050 --> 00:46:21.860 align:middle line:84%
Here you have two substrates
ATP, and F16 going

00:46:21.860 --> 00:46:24.170 align:middle line:90%
to 2 products ATP, and FTP.

00:46:24.170 --> 00:46:26.990 align:middle line:84%
And you've got this
same form where you have

00:46:26.990 --> 00:46:31.350 align:middle line:90%
a velocity of this reaction.

00:46:31.350 --> 00:46:35.240 align:middle line:84%
And it's a function of
the reactants F16 and ATP,

00:46:35.240 --> 00:46:39.020 align:middle line:84%
and you find them in
the numerator here.

00:46:39.020 --> 00:46:43.045 align:middle line:84%
And you find these Nikolaus
constants in the right places.

00:46:43.045 --> 00:46:45.670 align:middle line:84%
But in addition, you find in the
denominator this curious term,

00:46:45.670 --> 00:46:47.020 align:middle line:90%
it has these fourth powers.

00:46:47.020 --> 00:46:50.200 align:middle line:84%
Well, we didn't see any fourth
powers in the previous slide.

00:46:50.200 --> 00:46:52.300 align:middle line:84%
Why are we getting fourth
powers just because,

00:46:52.300 --> 00:46:55.150 align:middle line:90%
and why is AMP in here?

00:46:55.150 --> 00:46:57.850 align:middle line:84%
It's not even one of the
reactions or the products.

00:46:57.850 --> 00:46:58.940 align:middle line:90%
What's going on?

00:46:58.940 --> 00:47:01.450 align:middle line:84%
Well, this is actually
a regulatory phenomenon

00:47:01.450 --> 00:47:03.760 align:middle line:84%
allosteric where you have a
second site on the enzyme.

00:47:03.760 --> 00:47:06.520 align:middle line:84%
One site does the
catalytic magic,

00:47:06.520 --> 00:47:09.430 align:middle line:84%
and the other one
is regulated by some

00:47:09.430 --> 00:47:12.430 align:middle line:84%
in the infinite wisdom of
the whole network, that

00:47:12.430 --> 00:47:13.750 align:middle line:90%
is important feedback.

00:47:13.750 --> 00:47:18.280 align:middle line:84%
So AMP is related to
ATP as a further step,

00:47:18.280 --> 00:47:22.390 align:middle line:84%
and it feeds back on this
enzyme, as does F16, and ADP,

00:47:22.390 --> 00:47:23.030 align:middle line:90%
and so forth.

00:47:23.030 --> 00:47:24.610 align:middle line:84%
So all these-- and
this fourth power

00:47:24.610 --> 00:47:26.380 align:middle line:84%
just says you want
it to be cooperative.

00:47:26.380 --> 00:47:29.590 align:middle line:84%
You want to have a
nonlinear regulation.

00:47:29.590 --> 00:47:31.190 align:middle line:84%
That's what's going
on in this term.

00:47:31.190 --> 00:47:32.560 align:middle line:84%
And it doesn't occur
in the whole network,

00:47:32.560 --> 00:47:33.768 align:middle line:90%
we'll show in the next slide.

00:47:33.768 --> 00:47:35.350 align:middle line:84%
But it does occur
at some key points,

00:47:35.350 --> 00:47:38.590 align:middle line:84%
like this one where the enzyme
has two sites, catalytic

00:47:38.590 --> 00:47:39.833 align:middle line:90%
and regulatory.

00:47:39.833 --> 00:47:42.250 align:middle line:84%
And when you see these terms
that are greater than linear,

00:47:42.250 --> 00:47:44.230 align:middle line:84%
like the fourth power,
that's sometimes

00:47:44.230 --> 00:47:46.330 align:middle line:84%
referred to the Hill
coefficient and refers

00:47:46.330 --> 00:47:48.070 align:middle line:90%
to the steepness of--

00:47:48.070 --> 00:47:49.690 align:middle line:84%
instead of having
this kind of curve,

00:47:49.690 --> 00:47:51.190 align:middle line:84%
you have this kind
of sigmoid curve.

00:47:51.190 --> 00:47:54.580 align:middle line:84%
And the sigs peakedness to
that is related to that power.

00:47:54.580 --> 00:47:57.100 align:middle line:84%
Now, let's look--
if you compare--

00:47:57.100 --> 00:48:01.480 align:middle line:84%
so this little piece, this
phosphofructokinase step,

00:48:01.480 --> 00:48:06.130 align:middle line:84%
is going to be put in
context of the entire network

00:48:06.130 --> 00:48:08.080 align:middle line:84%
in the red blood cell,
human red blood cell

00:48:08.080 --> 00:48:12.670 align:middle line:84%
right here in the upper
left quadrant of the circle.

00:48:12.670 --> 00:48:16.540 align:middle line:84%
And this is the
simplest analysis--

00:48:16.540 --> 00:48:18.242 align:middle line:84%
this is the simplest
metabolic network

00:48:18.242 --> 00:48:19.450 align:middle line:90%
that you'll be talking about.

00:48:19.450 --> 00:48:23.890 align:middle line:84%
This mostly involves covalent
transitions or pumping

00:48:23.890 --> 00:48:25.480 align:middle line:90%
across membranes.

00:48:25.480 --> 00:48:29.080 align:middle line:84%
It treats the whole
cell as a uniform bag,

00:48:29.080 --> 00:48:31.150 align:middle line:84%
with a membrane being
a separate compartment.

00:48:31.150 --> 00:48:33.010 align:middle line:84%
And there are really
two objectives of this.

00:48:33.010 --> 00:48:36.230 align:middle line:90%
One is to produce ATP.

00:48:36.230 --> 00:48:39.670 align:middle line:84%
So that you can run the pumps
to keep the osmotic pressure

00:48:39.670 --> 00:48:41.260 align:middle line:84%
constant across
the red blood cell

00:48:41.260 --> 00:48:44.200 align:middle line:84%
membrane, so that it
maintains its shape.

00:48:44.200 --> 00:48:47.660 align:middle line:84%
And the other is to maintain
the redox at the right level,

00:48:47.660 --> 00:48:48.760 align:middle line:90%
so as if--

00:48:48.760 --> 00:48:50.770 align:middle line:84%
so you have a
reducing atmosphere.

00:48:50.770 --> 00:48:54.370 align:middle line:90%


00:48:54.370 --> 00:48:59.320 align:middle line:84%
The hemoglobin has an
intimate contact with oxygen,

00:48:59.320 --> 00:49:03.820 align:middle line:84%
and so there is a certain low
level of oxidation of the Iron

00:49:03.820 --> 00:49:06.430 align:middle line:84%
rather than just binding
to the Iron to make

00:49:06.430 --> 00:49:08.980 align:middle line:84%
hemoglobin which is not a
good physiological state.

00:49:08.980 --> 00:49:10.990 align:middle line:84%
So you want to have
this reducing potential

00:49:10.990 --> 00:49:13.820 align:middle line:84%
to get it back to the
correct oxidation state,

00:49:13.820 --> 00:49:16.370 align:middle line:90%
so it will bind oxygen.

00:49:16.370 --> 00:49:19.570 align:middle line:84%
So you have a little bit
of purine metabolism here.

00:49:19.570 --> 00:49:23.770 align:middle line:84%
Quite a bit of
simple glycolysis,

00:49:23.770 --> 00:49:26.950 align:middle line:90%
not oxidative phosphorylation.

00:49:26.950 --> 00:49:29.770 align:middle line:84%
Just because glycolysis produced
reducing potential and little

00:49:29.770 --> 00:49:35.020 align:middle line:84%
ATP, and these 40 or
so enzymatic reactions

00:49:35.020 --> 00:49:37.360 align:middle line:84%
can be modeled with
about 200 parameters.

00:49:37.360 --> 00:49:40.090 align:middle line:84%
All of these 200 parameters
have been measured accurately

00:49:40.090 --> 00:49:43.820 align:middle line:84%
by purifying each of the
metabolites and enzymes.

00:49:43.820 --> 00:49:46.870 align:middle line:84%
And this has been reduced to
an ordinary differentiable

00:49:46.870 --> 00:49:50.721 align:middle line:84%
equation model that has been
evolving since the '70s.

00:49:50.721 --> 00:49:54.160 align:middle line:90%


00:49:54.160 --> 00:50:01.150 align:middle line:84%
If we look at Slide 64 that
this phosphofructokinase,

00:50:01.150 --> 00:50:04.240 align:middle line:84%
we have the same form that we
had a couple of slides back.

00:50:04.240 --> 00:50:07.120 align:middle line:84%
Here is the fourth power
term, and the denominator

00:50:07.120 --> 00:50:11.080 align:middle line:84%
having AMP as a
regulatory molecule.

00:50:11.080 --> 00:50:13.720 align:middle line:84%
And then you have the
Nikolous constants,

00:50:13.720 --> 00:50:17.050 align:middle line:84%
and so forth,
explicitly stated here

00:50:17.050 --> 00:50:23.800 align:middle line:84%
in the numerator for the
substrates F16 and ATP.

00:50:23.800 --> 00:50:28.330 align:middle line:84%
And you have a similar equation
for every single enzyme

00:50:28.330 --> 00:50:31.990 align:middle line:84%
step in that whole network
in the red blood cell model.

00:50:31.990 --> 00:50:35.950 align:middle line:84%
And in green are
the concentrations,

00:50:35.950 --> 00:50:38.410 align:middle line:84%
at any given time point, that's
going to be their dynamic

00:50:38.410 --> 00:50:39.430 align:middle line:90%
or steady state.

00:50:39.430 --> 00:50:41.410 align:middle line:84%
At any given time
point, you'll have

00:50:41.410 --> 00:50:45.460 align:middle line:84%
green for the metabolic
concentrations and red

00:50:45.460 --> 00:50:48.880 align:middle line:84%
for the fluxes
indicated by the enzyme.

00:50:48.880 --> 00:50:51.340 align:middle line:84%
And you can run this as a
simulation for the red blood

00:50:51.340 --> 00:50:56.140 align:middle line:84%
cell and see all the
interesting questions

00:50:56.140 --> 00:51:02.410 align:middle line:84%
about robustness and
optimality, and so forth.

00:51:02.410 --> 00:51:04.180 align:middle line:84%
Even though this is
a very mature model,

00:51:04.180 --> 00:51:06.670 align:middle line:84%
there still is lots
to be done, even

00:51:06.670 --> 00:51:08.302 align:middle line:90%
in this very simplest system.

00:51:08.302 --> 00:51:10.510 align:middle line:84%
Now, we're going to go on
to more complicated systems

00:51:10.510 --> 00:51:12.205 align:middle line:84%
in the next three
lectures on networks.

00:51:12.205 --> 00:51:14.740 align:middle line:90%


00:51:14.740 --> 00:51:16.630 align:middle line:84%
But for today, we've
basically tried

00:51:16.630 --> 00:51:19.960 align:middle line:84%
to integrate the protein,
either absolute or ratios,

00:51:19.960 --> 00:51:24.130 align:middle line:84%
with RNA measurements and
with metabolite interactions,

00:51:24.130 --> 00:51:26.560 align:middle line:84%
proteins post-synthetic
modifications.

00:51:26.560 --> 00:51:29.500 align:middle line:84%
So until next time,
thank you very much.

00:51:29.500 --> 00:51:30.000 align:middle line:90%