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GEORGE CHURCH: Use
this slide to review

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how far the in-situ
might go, and what

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its current
limitations might be.

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And then we'll
move on to arrays.

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One potential advantage to these
sort of microscopic in-situ

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analyses is that if you use a
non-destructive visualization

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rather than fixing the cells--
you actually monitor them real

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time--

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you can sample this
basically as quickly

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as a modern microscopic
camera system can monitor,

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on the order of a millisecond.

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You can obtain a sensitivity on
the order of a single molecule

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of fluorescence.

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This is very challenging.

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It requires very small pixel
sizes, but it is possible.

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And it's the basis of some
of the sequencing methods

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that we discussed a
couple of classes ago.

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And so that resolution
itself is typically

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on the order of a micron
or a quarter of a micron,

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sort of set by the
limit of the optics

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in terms of the diffraction
that can typically occur.

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But you can get below
that diffraction limit

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of 250 nanometers down
as low as 10 nanometers

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by using tricks such
as near-field optics

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and various
deconvolution methods.

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Multiplicity is really
the greatest limitation

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of the in-situ method right
now, and it's certainly

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an opportunity for the creative
ones in this group to address.

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How can we get
through multiplicity,

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looking at all of the
RNA simultaneously

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as we can do in microarrays,
which is essentially

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a microscopic method
as well, But still have

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the spatial advantages
of an in-situ?

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This is an unsolved problem.

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Multiplicity now is typically
around one or two or three

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colors.

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The colors can be deconvolved
by using band filters.

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If you use
combinations of colors,

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you can conveniently
discriminate

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the 24 different types of
human metaphase chromosomes.

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However, this depends,
you should note--

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don't get fooled into thinking
you actually have 24 colors.

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These are combinations
of ratios of color,

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considering them to be
false-colored by the computer

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algorithm.

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But they depend on
non-overlap or of being

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able to find objects in the
visual field and extend them.

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If where they overlap, you
now have mixtures of mixtures,

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this no longer is
simply deconvolved.

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So for all and
practical purposes,

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we're limited to around
four or five colors.

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So in situ, I would
not call immediately

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genomics-compatible.

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The systems biology,
it takes a vast number

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of in-situ experiments to get
the kind of comprehensive data

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you can get out of
microarray experiments.

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So let's focus on the kind of
experiments like microarrays

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that can get us full
genome scale information,

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and what are the
limitations in quality

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for these sort of things.

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Now, we can either lump
or split various ways

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of measuring arrays in cells.

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The top two items
on slide 28 either

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can be characterized--
microarrays might be associated

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with, sort of for
historical reasons,

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longer probes, maybe the
length of an entire gene

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or entire cDNA, messenger RNA.

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And affymetrix and other
oligonucleotide-based methods

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typically use 25-nucleotide-long
ligament oligomers.

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Typically, the long
microarray probes

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are used as single probes,
one probe per gene,

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while the short ones typically
have 24 probes per gene.

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These are not
necessary differences.

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You can imagine
various combinations.

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Another difference is
in the long probes,

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typically, you'll do an
experiment and control

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with different
colors, and they're

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mixed together to control for
some of the variations that

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might occur.

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In the spotting of
the long probes,

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this is typically
spotted mechanically,

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while the short
probes are developed

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by a photochemical method
in which 100 mass, sort

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of black and white mass such
as use in the Silicon Valley

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for making computer
chips, which we introduced

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in the sequencing technology
lecture, these kind of 100

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photomass will allow
you to make 25-mer, four

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possibilities per base.

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And you'll make, say,
20 of these scattered

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along the gene, and a mismatch
control for each of those 20

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perfect matches, PM
and MM abbreviation.

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Those mismatched controls help
you get at the possible cross

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hybridization by related
sequences or even

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distantly related sequences.

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And then what they typically
do is subtract the mismatch

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controls from the
perfect masses,

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and then average
across all 20 of them,

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or some statistically
good sampling of those 20.

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OK.

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So you typically do ratios
for the long probes,

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and you try to get absolute
amounts from the short probes.

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And then there are two
wildly different methods

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in the bottom of the slide.

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These are called SAGE, standing
for Serial Analysis of Gene

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Expression, and NPSS,
an acronym for a highly

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parallel bead-based method.

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Both of them essentially
sequence, determine

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the sequence of somewhere
between 14 and 22 nucleotides.

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This is the sort of minimum
length sequence that's

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often but not always sufficient
to identify an RNA molecule.

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You're basically counting
individual RNA molecules

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with a tag that's
just long enough

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to be able to recognize
it in a database.

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At a 14-mer, you can recognize
it and say, a human cDNA

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database, but it's
not unique enough

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to identify it in a
human genomic database.

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The 22-mer is large enough
to get an acceptable rate

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of false positives,
false negatives

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in a human genomic library.

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So that's kind of the range
which you can do this.

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And it's just, people
tend to take shorter tags

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because the cost goes up
with the length of the tag.

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And so these were
conveniently short tags.

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So the top ones,
you get quantitation

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by integration of the
fluorescent signals.

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And the bottom two,
you get quantitation

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by counting individual tags.

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The bottom two methods have
the opportunity for discovery,

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while the top
three, you basically

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can quantitate any gene
or segment of the genome

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that you care to
put on the array.

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But you won't necessarily
discover anything outside

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of those features.

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So these are four of
the key methods that

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are used for
quantitating RNAs right

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now on a genome scale,
where you'll do hopefully

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multiple experiments
for each type.

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Now, let's just zoom
in a little bit more

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so you can have
appreciation for where

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some of the systematic
and random errors

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might creep in to these
kind of experiments.

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And I'll just arbitrarily use
the 25 oligonucleotide probe

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arrays as an example for the
long arrays, the microarrays.

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You might have, say,
1,000-nucleotide-long probes.

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You might have 10,000 of them
on a glass slide about this big.

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With the
photolithography, you can

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have a more like
closer to a million

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features in a square centimeter.

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And in each of those features,
each of those million

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positions on the array,
in the square array,

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you will have maybe 10 to the
5th and 10 to the 6th molecules

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all identical in position
1, and then a new set of 10

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to the 6th molecules
in position 2, all

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aimed at a different RNA or
different part of an RNA.

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Each of those probe
cells is ready to accept,

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fluorescently labeled or using
biotin as an intermediate

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in order to get fluorescence.

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So you take your RNA and you
directly [? biotinylate ?] it,

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or you make a cDNA copy.

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Or in one way or
another, you introduce

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a fluorescent or bioitn molecule
into a copy of your RNA.

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And then you apply
that to the chip,

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and they will bind kinetically.

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And the more the
mass action that you

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get from the original RNA, the
RNAs that are the most abundant

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will result in the
largest number of biotins

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or fluorescent molecules on
the array at a given element.

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Here, an indirect conjugate
with a fluorescent

00:09:48.920 --> 00:09:51.560 align:middle line:84%
stripped out of [INAUDIBLE] It's
like a rift in this covalently

00:09:51.560 --> 00:09:53.960 align:middle line:84%
attached [INAUDIBLE],, and
you get a fluorescent signal,

00:09:53.960 --> 00:09:55.502 align:middle line:84%
which you quantitate,
which tells you

00:09:55.502 --> 00:09:58.640 align:middle line:84%
the amount of original
messenger RNA.

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If you have 20 different
oligonucleotides per gene,

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you can scatter
this about the array

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or you can have them in lines.

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This tends to be back from
when they had them in lines.

00:10:12.670 --> 00:10:14.588 align:middle line:84%
So you get the
streakiness there.

00:10:14.588 --> 00:10:16.130 align:middle line:84%
Now, one of the
first things you want

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to do, much of the
software from the companies

00:10:18.680 --> 00:10:21.110 align:middle line:84%
is set up on the assumption
that you will only

00:10:21.110 --> 00:10:22.940 align:middle line:90%
do the experiment once.

00:10:22.940 --> 00:10:26.690 align:middle line:84%
Now, this may have
been appealing

00:10:26.690 --> 00:10:29.210 align:middle line:84%
in the early days from
a cost standpoint,

00:10:29.210 --> 00:10:31.220 align:middle line:84%
but it's not really
cost-effective,

00:10:31.220 --> 00:10:33.290 align:middle line:84%
in that you will
make mistakes and you

00:10:33.290 --> 00:10:35.690 align:middle line:84%
will draw incorrect
conclusions that

00:10:35.690 --> 00:10:36.890 align:middle line:90%
will require you to go back.

00:10:36.890 --> 00:10:40.610 align:middle line:84%
But this is an example
of an early experiment

00:10:40.610 --> 00:10:43.220 align:middle line:84%
to establish the reproducibility
from one experiment

00:10:43.220 --> 00:10:46.640 align:middle line:84%
to another, possibly to
reassure people that they didn't

00:10:46.640 --> 00:10:49.470 align:middle line:90%
need to repeat the experiment.

00:10:49.470 --> 00:10:51.320 align:middle line:84%
But in any case,
this is the thing

00:10:51.320 --> 00:10:52.940 align:middle line:84%
that is now commonly
done in order

00:10:52.940 --> 00:10:56.360 align:middle line:84%
to assess that your experiments
are indeed reproducible.

00:10:56.360 --> 00:10:58.430 align:middle line:84%
And what you expect from
this as you go along

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the horizontal axis towards
higher and higher copies

00:11:04.130 --> 00:11:09.020 align:middle line:84%
per cell, going off to
the right or going up

00:11:09.020 --> 00:11:12.770 align:middle line:84%
on the vertical axis, when
you get high copies per cell,

00:11:12.770 --> 00:11:19.250 align:middle line:84%
then you expect there to be
very close similarity in the two

00:11:19.250 --> 00:11:21.650 align:middle line:84%
measures from two
different experiments done

00:11:21.650 --> 00:11:22.710 align:middle line:90%
at two different days.

00:11:22.710 --> 00:11:25.520 align:middle line:84%
And then as you get to
the very rare transcripts,

00:11:25.520 --> 00:11:27.980 align:middle line:84%
you expect the various
sources of noise

00:11:27.980 --> 00:11:31.940 align:middle line:84%
in the experiment to start to
dominate the light scattering

00:11:31.940 --> 00:11:33.410 align:middle line:90%
and the array.

00:11:33.410 --> 00:11:36.350 align:middle line:84%
The background
fluorescence of the glass,

00:11:36.350 --> 00:11:39.410 align:middle line:84%
the non-specific
cross-hybridization

00:11:39.410 --> 00:11:42.507 align:middle line:84%
between different RNAs, start
to dominate over the true signal

00:11:42.507 --> 00:11:44.090 align:middle line:84%
because, the true
signal is going down

00:11:44.090 --> 00:11:46.340 align:middle line:84%
and all those background
signals are staying constant.

00:11:46.340 --> 00:11:48.575 align:middle line:84%
So you start to get
spread at a low number

00:11:48.575 --> 00:11:50.570 align:middle line:90%
of copy numbers per cell.

00:11:50.570 --> 00:11:54.200 align:middle line:84%
You can see a huge
fraction of the RNAs

00:11:54.200 --> 00:11:59.540 align:middle line:84%
in the yeast cells that present
a single copy, say one or less

00:11:59.540 --> 00:12:01.550 align:middle line:90%
fewer RNAs per cell.

00:12:01.550 --> 00:12:04.970 align:middle line:84%
Now, this can either
indicate that most

00:12:04.970 --> 00:12:08.930 align:middle line:84%
of the RNAs in the cell are not
physiologically significant,

00:12:08.930 --> 00:12:13.490 align:middle line:84%
or it could indicate that all
it takes is a small burst of one

00:12:13.490 --> 00:12:15.650 align:middle line:84%
or a few molecules
of RNA to produce

00:12:15.650 --> 00:12:17.720 align:middle line:84%
an even larger burst
of proteins and even

00:12:17.720 --> 00:12:19.980 align:middle line:84%
larger bursts of activities
of those proteins.

00:12:19.980 --> 00:12:21.630 align:middle line:90%
So you get this amplification.

00:12:21.630 --> 00:12:23.540 align:middle line:84%
And so the stochastics
that we will

00:12:23.540 --> 00:12:25.580 align:middle line:84%
study in the systems
biology part of this

00:12:25.580 --> 00:12:28.770 align:middle line:84%
becomes a more
significant consideration.

00:12:28.770 --> 00:12:35.420 align:middle line:84%
So looking at one
molecule per cell,

00:12:35.420 --> 00:12:38.440 align:middle line:84%
it's important to start
thinking about what

00:12:38.440 --> 00:12:43.960 align:middle line:84%
the implications of that might
be for the systems biology,

00:12:43.960 --> 00:12:46.990 align:middle line:84%
and asking, can we accurately
measure it down there,

00:12:46.990 --> 00:12:49.900 align:middle line:84%
and do we believe that it's
biologically significant.

00:12:49.900 --> 00:12:53.110 align:middle line:84%
Now, there's a whole variety
of microarray data analyses,

00:12:53.110 --> 00:12:59.950 align:middle line:84%
ranging from the very
hardware-oriented first data

00:12:59.950 --> 00:13:02.500 align:middle line:84%
acquisition modules
all the way up

00:13:02.500 --> 00:13:09.700 align:middle line:84%
through analyzing single array
data at a statistical level,

00:13:09.700 --> 00:13:14.320 align:middle line:84%
to multiple related experiments,
such as the one we showed

00:13:14.320 --> 00:13:15.910 align:middle line:84%
in the previous
slide, all the way up

00:13:15.910 --> 00:13:20.500 align:middle line:84%
to clustering multiple examples
from multiple different

00:13:20.500 --> 00:13:26.590 align:middle line:84%
conditions to start asking the
biological questions about why

00:13:26.590 --> 00:13:28.660 align:middle line:90%
RNAs go up and down together.

00:13:28.660 --> 00:13:32.980 align:middle line:84%
For intermediate analyses,
where we'll be talking today,

00:13:32.980 --> 00:13:38.650 align:middle line:84%
as introductory issues
of data analysis,

00:13:38.650 --> 00:13:43.060 align:middle line:84%
I'll illustrate dChip and
a couple of other tools

00:13:43.060 --> 00:13:47.530 align:middle line:84%
that indicate how reproducible
experiments can be,

00:13:47.530 --> 00:13:50.770 align:middle line:84%
and the kind of systematic
errors that can creep in.

00:13:50.770 --> 00:13:54.310 align:middle line:84%
The reproducibility helps
you by repeating, helps

00:13:54.310 --> 00:13:56.080 align:middle line:90%
you reduce the random errors.

00:13:56.080 --> 00:13:59.350 align:middle line:84%
And here are four
papers recently

00:13:59.350 --> 00:14:04.000 align:middle line:84%
that talk about measurements
from multiple measures

00:14:04.000 --> 00:14:07.360 align:middle line:84%
from the same experiment, or
multiple measures by using

00:14:07.360 --> 00:14:09.850 align:middle line:84%
two completely different
microarray technologies.

00:14:09.850 --> 00:14:12.520 align:middle line:84%
And I urge you to
take a look at these.

00:14:12.520 --> 00:14:16.760 align:middle line:90%


00:14:16.760 --> 00:14:20.210 align:middle line:84%
When we compare
two distributions

00:14:20.210 --> 00:14:25.550 align:middle line:84%
from microarray experiments,
you can think of these.

00:14:25.550 --> 00:14:27.800 align:middle line:84%
Even if they're not perfectly
normal distributions,

00:14:27.800 --> 00:14:30.050 align:middle line:84%
they're going to be roughly
bell-shaped shaped curves.

00:14:30.050 --> 00:14:31.760 align:middle line:84%
So let's say that
this is experiment 1

00:14:31.760 --> 00:14:33.260 align:middle line:90%
and this is experiment 2.

00:14:33.260 --> 00:14:35.090 align:middle line:90%
You say, oh, they look the same.

00:14:35.090 --> 00:14:37.550 align:middle line:84%
This is experiment
1 under condition 1.

00:14:37.550 --> 00:14:39.920 align:middle line:90%
This is under condition 2.

00:14:39.920 --> 00:14:41.120 align:middle line:90%
OK, now they look different.

00:14:41.120 --> 00:14:42.650 align:middle line:90%
But how do you quantitate that?

00:14:42.650 --> 00:14:47.270 align:middle line:84%
And the way you ask that is,
the means of those two roughly

00:14:47.270 --> 00:14:50.600 align:middle line:84%
bell-shaped distributions
are far apart from one other.

00:14:50.600 --> 00:14:51.830 align:middle line:90%
How far apart?

00:14:51.830 --> 00:14:54.410 align:middle line:84%
Well, they're farther
apart from one another

00:14:54.410 --> 00:14:57.320 align:middle line:84%
than the width of the
distributions individually.

00:14:57.320 --> 00:15:00.790 align:middle line:84%
And the distance
between them, you

00:15:00.790 --> 00:15:02.810 align:middle line:84%
can think of as the
mean of the difference

00:15:02.810 --> 00:15:05.330 align:middle line:90%
of the distributions.

00:15:05.330 --> 00:15:09.860 align:middle line:84%
And then the width is
a measure of the root

00:15:09.860 --> 00:15:12.770 align:middle line:84%
mean square standard
deviation, so [? versus ?]

00:15:12.770 --> 00:15:14.455 align:middle line:90%
the combined width of the two.

00:15:14.455 --> 00:15:16.580 align:middle line:84%
If one of them is wide and
the other one is narrow,

00:15:16.580 --> 00:15:19.370 align:middle line:84%
you have to have some
way of combining those.

00:15:19.370 --> 00:15:22.220 align:middle line:84%
So that's sometimes
called a student t-test.

00:15:22.220 --> 00:15:25.520 align:middle line:84%
And the t statistic
itself is simply

00:15:25.520 --> 00:15:28.880 align:middle line:84%
the mean over the
standard deviation.

00:15:28.880 --> 00:15:32.210 align:middle line:84%
In other words, how many
standard deviation widths apart

00:15:32.210 --> 00:15:33.320 align:middle line:90%
are these two means?

00:15:33.320 --> 00:15:35.870 align:middle line:84%
Or if you take the
mean of the difference,

00:15:35.870 --> 00:15:37.850 align:middle line:84%
take the distribution
of the difference,

00:15:37.850 --> 00:15:40.220 align:middle line:84%
then you want your
null hypothesis.

00:15:40.220 --> 00:15:43.930 align:middle line:84%
H0 here on slide 33 is
the null hypothesis.

00:15:43.930 --> 00:15:46.160 align:middle line:84%
If the mean value of
the difference is 0,

00:15:46.160 --> 00:15:48.500 align:middle line:84%
there's no difference between
the two distributions.

00:15:48.500 --> 00:15:52.910 align:middle line:84%
If you can rule
that out, then that

00:15:52.910 --> 00:15:54.945 align:middle line:90%
would be the point of this test.

00:15:54.945 --> 00:15:56.570 align:middle line:84%
So you can think,
how many widths apart

00:15:56.570 --> 00:15:59.630 align:middle line:84%
are the means of these
two distributions.

00:15:59.630 --> 00:16:02.060 align:middle line:84%
Now, this requires
that actually,

00:16:02.060 --> 00:16:04.100 align:middle line:84%
the distributions be
very close to normal,

00:16:04.100 --> 00:16:06.950 align:middle line:84%
not distinguishable
from normal distribution

00:16:06.950 --> 00:16:09.170 align:middle line:90%
with all its properties.

00:16:09.170 --> 00:16:11.535 align:middle line:84%
If you are in
serious doubt or can

00:16:11.535 --> 00:16:13.160 align:middle line:84%
prove that they're
not normal, then you

00:16:13.160 --> 00:16:15.440 align:middle line:90%
should go to a non-parametric.

00:16:15.440 --> 00:16:16.720 align:middle line:90%
Normal means it's parametric.

00:16:16.720 --> 00:16:18.290 align:middle line:84%
It has a mean and
standard deviation

00:16:18.290 --> 00:16:22.070 align:middle line:90%
that characterize it well.

00:16:22.070 --> 00:16:23.713 align:middle line:84%
Then you can use
a non-parametric.

00:16:23.713 --> 00:16:25.130 align:middle line:84%
Whenever you see
the word "ranks,"

00:16:25.130 --> 00:16:27.440 align:middle line:84%
that's a tip-off that you're
going into something where

00:16:27.440 --> 00:16:29.090 align:middle line:90%
you're making fewer assumptions.

00:16:29.090 --> 00:16:30.380 align:middle line:90%
This has lower power.

00:16:30.380 --> 00:16:33.150 align:middle line:84%
That means you might miss
some significant differences.

00:16:33.150 --> 00:16:36.890 align:middle line:84%
But on the other hand, if
you can convince yourself

00:16:36.890 --> 00:16:40.977 align:middle line:84%
with the Wilcoxon matched
pair sign ranks test,

00:16:40.977 --> 00:16:43.310 align:middle line:84%
then you don't need to worry
about whether it's normally

00:16:43.310 --> 00:16:44.300 align:middle line:90%
distributed.

00:16:44.300 --> 00:16:51.620 align:middle line:84%
In any case, we're going to
look at some distributions

00:16:51.620 --> 00:16:57.320 align:middle line:84%
and ask informally whether
these are the same distribution

00:16:57.320 --> 00:16:58.970 align:middle line:90%
or different.

00:16:58.970 --> 00:17:00.442 align:middle line:90%
Yes.

00:17:00.442 --> 00:17:01.980 align:middle line:90%
AUDIENCE: [INAUDIBLE]

00:17:01.980 --> 00:17:28.930 align:middle line:90%


00:17:28.930 --> 00:17:32.040 align:middle line:84%
GEORGE CHURCH: So
the question is,

00:17:32.040 --> 00:17:36.050 align:middle line:84%
how do you deal with the
multiple hypothesis testing.

00:17:36.050 --> 00:17:40.160 align:middle line:84%
And this basically is
exactly the same answer

00:17:40.160 --> 00:17:44.030 align:middle line:84%
that we would have given
in the last lecture

00:17:44.030 --> 00:17:49.310 align:middle line:84%
on multiple hypothesis
testing in genotyping.

00:17:49.310 --> 00:17:52.010 align:middle line:84%
If you apply exactly
the same-- it's

00:17:52.010 --> 00:17:56.270 align:middle line:84%
a very good question,
very appropriate here.

00:17:56.270 --> 00:17:57.950 align:middle line:84%
Just as before,
where you would have

00:17:57.950 --> 00:18:02.780 align:middle line:84%
multiple different
phenotype-genotype combinations

00:18:02.780 --> 00:18:05.300 align:middle line:84%
that you might want
to test, essentially

00:18:05.300 --> 00:18:07.685 align:middle line:84%
testing every possible single
nucleotide polymorphism

00:18:07.685 --> 00:18:15.080 align:middle line:84%
or combination in the genome, to
a first approximation, whatever

00:18:15.080 --> 00:18:19.070 align:middle line:84%
your significance is, it
needs to be that much more

00:18:19.070 --> 00:18:22.230 align:middle line:84%
significant if you have
that many hypotheses.

00:18:22.230 --> 00:18:23.710 align:middle line:90%
AUDIENCE: [INAUDIBLE]

00:18:23.710 --> 00:18:28.370 align:middle line:90%


00:18:28.370 --> 00:18:31.850 align:middle line:84%
GEORGE CHURCH: You either
have to improve your data.

00:18:31.850 --> 00:18:33.980 align:middle line:84%
Allows you to test
more hypotheses.

00:18:33.980 --> 00:18:38.150 align:middle line:84%
Or you need to reduce the
hypothesis, that number

00:18:38.150 --> 00:18:43.040 align:middle line:84%
at the outset, by having a
sharp biological question

00:18:43.040 --> 00:18:43.760 align:middle line:90%
at the beginning.

00:18:43.760 --> 00:18:45.385 align:middle line:84%
It's an excellent
question, but there's

00:18:45.385 --> 00:18:49.700 align:middle line:84%
no magic wand except
those two that I know of.

00:18:49.700 --> 00:18:54.198 align:middle line:84%
OK, so here's some examples
of independent experiments.

00:18:54.198 --> 00:18:56.240 align:middle line:84%
Now, when someone says an
independent experiment,

00:18:56.240 --> 00:18:59.620 align:middle line:84%
you have to be
clear about, is it

00:18:59.620 --> 00:19:06.950 align:middle line:84%
that the same RNA sample split
and then labeled independently.

00:19:06.950 --> 00:19:09.420 align:middle line:84%
That's really not an
independent experiment.

00:19:09.420 --> 00:19:13.250 align:middle line:84%
On the other hand, you
could take two completely,

00:19:13.250 --> 00:19:16.910 align:middle line:84%
where you repeated the best
of an independent experiment.

00:19:16.910 --> 00:19:19.340 align:middle line:84%
If your objective is
to ask how reproducible

00:19:19.340 --> 00:19:21.050 align:middle line:84%
is the entire
biological phenomenon,

00:19:21.050 --> 00:19:27.050 align:middle line:84%
you should go back as early as
possible, make a new cell line,

00:19:27.050 --> 00:19:30.320 align:middle line:84%
try to get the conditions
exactly the same,

00:19:30.320 --> 00:19:32.810 align:middle line:84%
but completely
independently executed,

00:19:32.810 --> 00:19:34.220 align:middle line:84%
possibly by
different researchers

00:19:34.220 --> 00:19:36.560 align:middle line:90%
in different laboratories.

00:19:36.560 --> 00:19:40.040 align:middle line:84%
In that extreme, you expect
to have more scatter.

00:19:40.040 --> 00:19:41.810 align:middle line:84%
Here, these are the
regression lines.

00:19:41.810 --> 00:19:45.560 align:middle line:84%
The R squared is the
number that pops out

00:19:45.560 --> 00:19:48.053 align:middle line:84%
as an indication of
deviation from the linear,

00:19:48.053 --> 00:19:50.720 align:middle line:84%
just like the linear correlation
coefficient, which is basically

00:19:50.720 --> 00:19:53.330 align:middle line:90%
a squared term.

00:19:53.330 --> 00:19:56.270 align:middle line:84%
You can see that as instead
of splitting one sample,

00:19:56.270 --> 00:19:58.610 align:middle line:84%
and doing kind of a trivial
differentiable labeling,

00:19:58.610 --> 00:20:00.740 align:middle line:84%
if you have more
independent samples,

00:20:00.740 --> 00:20:04.460 align:middle line:84%
you get more scatter and
a lower figure of merit

00:20:04.460 --> 00:20:06.860 align:middle line:90%
for the regression line.

00:20:06.860 --> 00:20:12.200 align:middle line:84%
OK, now, what are
the guidelines for--

00:20:12.200 --> 00:20:13.820 align:middle line:84%
what are some of
the considerations

00:20:13.820 --> 00:20:15.080 align:middle line:90%
in RNA quantitation?

00:20:15.080 --> 00:20:16.940 align:middle line:84%
I think we've touched
upon this before,

00:20:16.940 --> 00:20:18.560 align:middle line:84%
but I just want
to drive it home,

00:20:18.560 --> 00:20:20.540 align:middle line:84%
that some people
will say, I'm only

00:20:20.540 --> 00:20:24.800 align:middle line:84%
going to look at things that are
more than a three-fold effect.

00:20:24.800 --> 00:20:28.340 align:middle line:84%
This is sort of the
ratio limits that you

00:20:28.340 --> 00:20:32.360 align:middle line:84%
might perceive in the early
RNA [? TIP ?] experiments.

00:20:32.360 --> 00:20:34.140 align:middle line:84%
But I think we're
getting better at it

00:20:34.140 --> 00:20:36.870 align:middle line:84%
and the biological
motivation is high.

00:20:36.870 --> 00:20:41.210 align:middle line:84%
We've seen that human trisomies,
where you just have a 1.5-fold

00:20:41.210 --> 00:20:44.210 align:middle line:84%
increase in dosage, every
single one of them has a huge

00:20:44.210 --> 00:20:45.500 align:middle line:90%
phenotypic consequence.

00:20:45.500 --> 00:20:49.700 align:middle line:84%
Many of them result
in lethality.

00:20:49.700 --> 00:20:53.840 align:middle line:84%
We should set as a goal
to be able to monitor most

00:20:53.840 --> 00:20:57.740 align:middle line:84%
of the RNAs of biological
significance down to this

00:20:57.740 --> 00:21:03.740 align:middle line:84%
1.5-fold effect, which can have
these dramatic implications.

00:21:03.740 --> 00:21:09.320 align:middle line:84%
We mentioned the
Oligonucleotides,

00:21:09.320 --> 00:21:11.300 align:middle line:84%
we might be able to get
more of them per gene.

00:21:11.300 --> 00:21:14.000 align:middle line:84%
How cam we utilize
this, not only

00:21:14.000 --> 00:21:16.700 align:middle line:84%
the number that we can
get, but the specificity?

00:21:16.700 --> 00:21:21.020 align:middle line:84%
If you have a gene length
oligonucleotide, or cDNA,

00:21:21.020 --> 00:21:24.470 align:middle line:84%
then you're going to pick up
not only the gene of interest,

00:21:24.470 --> 00:21:28.460 align:middle line:84%
but every related gene, all the
alternative splice forms, all

00:21:28.460 --> 00:21:30.900 align:middle line:84%
the very, very close
family members.

00:21:30.900 --> 00:21:33.680 align:middle line:84%
So with oligonucleotides,
you can then go and target

00:21:33.680 --> 00:21:35.810 align:middle line:84%
individual splice
forms, but then

00:21:35.810 --> 00:21:38.660 align:middle line:84%
when you apply your
algorithms, you

00:21:38.660 --> 00:21:40.790 align:middle line:84%
have to be careful not
to lump them all together

00:21:40.790 --> 00:21:41.732 align:middle line:90%
as if it's one gene.

00:21:41.732 --> 00:21:43.190 align:middle line:84%
You have to say,
OK, this is splice

00:21:43.190 --> 00:21:44.780 align:middle line:90%
form number one, number two.

00:21:44.780 --> 00:21:49.130 align:middle line:84%
And just having oligonucleotides
aimed at particular exons

00:21:49.130 --> 00:21:52.820 align:middle line:84%
is not sufficient to
tell you which exons

00:21:52.820 --> 00:21:54.800 align:middle line:90%
insist in particular RNAs.

00:21:54.800 --> 00:22:00.620 align:middle line:84%
You can have present in the
population exons 1, 2, 4, 6 12,

00:22:00.620 --> 00:22:01.378 align:middle line:90%
and so forth.

00:22:01.378 --> 00:22:03.920 align:middle line:84%
But you don't know whether 1
and 12 are on the same molecule,

00:22:03.920 --> 00:22:04.420 align:middle line:90%
however.

00:22:04.420 --> 00:22:09.110 align:middle line:84%
That requires a more
specialized method, possibly

00:22:09.110 --> 00:22:10.100 align:middle line:90%
high-throughput method.

00:22:10.100 --> 00:22:13.070 align:middle line:90%


00:22:13.070 --> 00:22:18.140 align:middle line:84%
There is another set of economic
forces pushing towards just

00:22:18.140 --> 00:22:21.500 align:middle line:90%
doing a subset of the genome.

00:22:21.500 --> 00:22:25.172 align:middle line:84%
Just like not repeating
the experiment,

00:22:25.172 --> 00:22:27.380 align:middle line:84%
you probably don't want to
give in to economic forces

00:22:27.380 --> 00:22:29.880 align:middle line:84%
unless you absolutely have to,
because if one person studies

00:22:29.880 --> 00:22:35.590 align:middle line:84%
a cancer subset, another
studies a blood-related subset,

00:22:35.590 --> 00:22:40.682 align:middle line:84%
and another one studies these
little pieces of the genome,

00:22:40.682 --> 00:22:42.640 align:middle line:84%
then when they want to
pool their data in order

00:22:42.640 --> 00:22:45.610 align:middle line:84%
to ask questions about what
genes are cluster together

00:22:45.610 --> 00:22:47.860 align:middle line:84%
because they're in their
proliferative cells,

00:22:47.860 --> 00:22:49.900 align:middle line:84%
and which ones cluster
together because they're

00:22:49.900 --> 00:22:52.822 align:middle line:84%
in this developmental
stage or another,

00:22:52.822 --> 00:22:54.280 align:middle line:84%
they can't do it
because they don't

00:22:54.280 --> 00:22:55.960 align:middle line:84%
share enough genes
on their arrays

00:22:55.960 --> 00:22:58.070 align:middle line:90%
to do this meta analysis.

00:22:58.070 --> 00:23:00.610 align:middle line:84%
So that's a
consideration when you're

00:23:00.610 --> 00:23:02.135 align:middle line:84%
in the experimental
design phase.

00:23:02.135 --> 00:23:03.760 align:middle line:84%
And hopefully,
computational biologists

00:23:03.760 --> 00:23:06.130 align:middle line:84%
are involved not only in the
interpretation of the data,

00:23:06.130 --> 00:23:09.530 align:middle line:84%
but in the design of
the experiments as well.

00:23:09.530 --> 00:23:12.970 align:middle line:84%
Here's yet another way of
looking at the variation

00:23:12.970 --> 00:23:14.590 align:middle line:90%
that you have in the experiment.

00:23:14.590 --> 00:23:18.350 align:middle line:84%
We're introducing, I think, the
coefficient of variation here,

00:23:18.350 --> 00:23:21.610 align:middle line:84%
which is simply the standard
deviation normalized

00:23:21.610 --> 00:23:22.750 align:middle line:90%
to the mean.

00:23:22.750 --> 00:23:24.930 align:middle line:90%
So you can just phrase it.

00:23:24.930 --> 00:23:28.690 align:middle line:84%
It's a way of sharing,
in a generic sense,

00:23:28.690 --> 00:23:30.100 align:middle line:90%
how much variation you have.

00:23:30.100 --> 00:23:34.570 align:middle line:84%
So you can say the coefficient
of variation is, say, 10%.

00:23:34.570 --> 00:23:40.750 align:middle line:84%
And that's independent of
what units you're measuring.

00:23:40.750 --> 00:23:46.300 align:middle line:84%
And so we have is on the
horizontal axis, the x-axis

00:23:46.300 --> 00:23:48.790 align:middle line:84%
here, number of
messenger RNAs per cell,

00:23:48.790 --> 00:23:52.010 align:middle line:84%
and in the vertical axis,
the coefficient of variation.

00:23:52.010 --> 00:23:58.090 align:middle line:84%
And you can see that when
you get up above, say,

00:23:58.090 --> 00:24:07.950 align:middle line:84%
20% coefficient of variation,
you getting less trustworthy,

00:24:07.950 --> 00:24:10.560 align:middle line:84%
because here, we've
used the algorithms that

00:24:10.560 --> 00:24:12.690 align:middle line:84%
are built in to the
[INAUDIBLE] software

00:24:12.690 --> 00:24:15.870 align:middle line:84%
for asking whether it
thinks an RNA is present

00:24:15.870 --> 00:24:18.030 align:middle line:84%
or not if the
intensity is very low,

00:24:18.030 --> 00:24:19.980 align:middle line:90%
and a variety of other criteria.

00:24:19.980 --> 00:24:24.270 align:middle line:84%
For a single experiment, it
will classify whether it thinks

00:24:24.270 --> 00:24:25.680 align:middle line:90%
the RNA is present or not.

00:24:25.680 --> 00:24:29.640 align:middle line:84%
But if you use a large number
of different experiments--

00:24:29.640 --> 00:24:33.480 align:middle line:84%
each of these dots
being a different RNA--

00:24:33.480 --> 00:24:35.310 align:middle line:84%
you use a large
number of experiments,

00:24:35.310 --> 00:24:38.128 align:middle line:84%
you can now beat the
company software,

00:24:38.128 --> 00:24:40.170 align:middle line:84%
because it's made the
assumption that you're just

00:24:40.170 --> 00:24:41.650 align:middle line:90%
doing one experiment.

00:24:41.650 --> 00:24:45.210 align:middle line:84%
And so here in the
dark blue are examples

00:24:45.210 --> 00:24:47.610 align:middle line:84%
where in 3 experiments,
all three experiments

00:24:47.610 --> 00:24:50.880 align:middle line:90%
was called f one by one.

00:24:50.880 --> 00:24:54.660 align:middle line:84%
But you can see
that even with cases

00:24:54.660 --> 00:24:57.150 align:middle line:84%
where it's not called
present in any of the three

00:24:57.150 --> 00:25:00.300 align:middle line:84%
experiments, these magenta
ones, you can still

00:25:00.300 --> 00:25:03.900 align:middle line:84%
find very high
reproducibility, that

00:25:03.900 --> 00:25:07.350 align:middle line:84%
is to say, very low coefficient
of variation, down around 10%.

00:25:07.350 --> 00:25:10.920 align:middle line:84%
There's some pink dots all
in this region around 10%,

00:25:10.920 --> 00:25:14.250 align:middle line:84%
and these are just as
reliable as the blue dots.

00:25:14.250 --> 00:25:16.890 align:middle line:84%
Even though they're not called
present by the software,

00:25:16.890 --> 00:25:18.972 align:middle line:84%
collectively, they're
very reproducible,

00:25:18.972 --> 00:25:20.430 align:middle line:84%
and therefore,
they're trustworthy.

00:25:20.430 --> 00:25:23.430 align:middle line:84%
So actually, reproducing
your experiment

00:25:23.430 --> 00:25:32.730 align:middle line:84%
is not just something you do
to appease nature and lower

00:25:32.730 --> 00:25:33.960 align:middle line:90%
your statistical noise.

00:25:33.960 --> 00:25:37.290 align:middle line:84%
It actually allows you to get
data for RNAs that otherwise

00:25:37.290 --> 00:25:39.420 align:middle line:90%
might be inaccessible.

00:25:39.420 --> 00:25:42.570 align:middle line:84%
So there's immediate
gratification there,

00:25:42.570 --> 00:25:44.055 align:middle line:90%
even at the slight expense.

00:25:44.055 --> 00:25:46.600 align:middle line:90%


00:25:46.600 --> 00:25:49.410 align:middle line:84%
So now let's broaden
back out a little bit

00:25:49.410 --> 00:25:53.460 align:middle line:84%
on a number of different
methods and their advantages

00:25:53.460 --> 00:25:54.300 align:middle line:90%
and disadvantages.

00:25:54.300 --> 00:25:56.730 align:middle line:84%
Each one has a
set of advantages.

00:25:56.730 --> 00:25:58.810 align:middle line:84%
We've already talked
about two of them,

00:25:58.810 --> 00:26:04.020 align:middle line:84%
which is the immobilized
genes, labeled RNA scenario.

00:26:04.020 --> 00:26:07.350 align:middle line:84%
That's basically the
microarrays or chips.

00:26:07.350 --> 00:26:11.730 align:middle line:84%
And the advantage here is
that in a very high throughput

00:26:11.730 --> 00:26:14.310 align:middle line:84%
manner, you can manufacture
large numbers of these.

00:26:14.310 --> 00:26:16.320 align:middle line:84%
And you can get
high multiplicity,

00:26:16.320 --> 00:26:20.922 align:middle line:84%
all the RNAs that we know
of monitored simultaneously.

00:26:20.922 --> 00:26:23.550 align:middle line:84%
The in-situ, we've
also talked about.

00:26:23.550 --> 00:26:29.160 align:middle line:84%
The major advantage is retaining
the spatial relationships.

00:26:29.160 --> 00:26:33.450 align:middle line:84%
Some of these other methods,
if instead of immobilizing

00:26:33.450 --> 00:26:36.660 align:middle line:84%
the probes on a solid
surface, you immobilize

00:26:36.660 --> 00:26:41.580 align:middle line:84%
the RNAs, and then one by
one, you label the probes,

00:26:41.580 --> 00:26:47.010 align:middle line:84%
this will allow you to
first, say, separate

00:26:47.010 --> 00:26:51.660 align:middle line:84%
the entire transcriptome of RNAs
in electrophoretic separation.

00:26:51.660 --> 00:26:53.820 align:middle line:84%
And so in a highly
parallel method,

00:26:53.820 --> 00:26:55.920 align:middle line:84%
you've now immobilized
them after they've

00:26:55.920 --> 00:26:57.070 align:middle line:90%
been separated by size.

00:26:57.070 --> 00:26:59.250 align:middle line:84%
So if you want to know
the size of the RNA, which

00:26:59.250 --> 00:27:06.090 align:middle line:84%
is a big hint as to its
exon composition and so on,

00:27:06.090 --> 00:27:09.000 align:middle line:84%
measuring the size of RNA,
this is one of the few ways

00:27:09.000 --> 00:27:10.290 align:middle line:90%
to do it.

00:27:10.290 --> 00:27:14.010 align:middle line:84%
Very hard to do with
arrays or in situ.

00:27:14.010 --> 00:27:16.080 align:middle line:90%
OK.

00:27:16.080 --> 00:27:18.570 align:middle line:84%
If, on the other hand,
you want sensitivity,

00:27:18.570 --> 00:27:22.560 align:middle line:84%
where you want to really detect
at the noise level, which say,

00:27:22.560 --> 00:27:25.860 align:middle line:84%
for mammalian veterbrate
RNAs is around 10

00:27:25.860 --> 00:27:28.500 align:middle line:84%
to the minus 4 copies
per cell, that's

00:27:28.500 --> 00:27:30.330 align:middle line:84%
the level at which if
you look for almost

00:27:30.330 --> 00:27:33.090 align:middle line:84%
any part of the genome,
any kind of RNA,

00:27:33.090 --> 00:27:35.010 align:middle line:84%
even things that
shouldn't be expressed,

00:27:35.010 --> 00:27:37.530 align:middle line:84%
you will find them down in
the minus 4 [? per cell. ?]

00:27:37.530 --> 00:27:39.960 align:middle line:84%
That probably is not
biologically significant,

00:27:39.960 --> 00:27:42.870 align:middle line:90%
but it's a biological fact.

00:27:42.870 --> 00:27:46.920 align:middle line:84%
Getting down to that level,
or if you have a mixed tissue

00:27:46.920 --> 00:27:50.730 align:middle line:84%
and you want to detect 1
part in 10 to the 10th,

00:27:50.730 --> 00:27:55.540 align:middle line:84%
you might have 5 times 10 to
the 5th messenger RNAs per cell.

00:27:55.540 --> 00:27:58.350 align:middle line:84%
But if you have 10
to the 5th cells,

00:27:58.350 --> 00:28:02.770 align:middle line:84%
then a single copy messenger RNA
would be down to the minus 10.

00:28:02.770 --> 00:28:05.550 align:middle line:84%
That's feasible with
reverse transcriptase,

00:28:05.550 --> 00:28:07.680 align:middle line:84%
quantitative reverse
transcriptase, [INAUDIBLE]..

00:28:07.680 --> 00:28:12.865 align:middle line:84%
And it has it is the standard
which all the others can barely

00:28:12.865 --> 00:28:13.365 align:middle line:90%
match.

00:28:13.365 --> 00:28:16.640 align:middle line:90%


00:28:16.640 --> 00:28:19.490 align:middle line:84%
Reporter constructs
are something

00:28:19.490 --> 00:28:22.250 align:middle line:84%
we do not consider
generally a high throughput

00:28:22.250 --> 00:28:25.430 align:middle line:84%
method, although there are
genomic constructs of reporter

00:28:25.430 --> 00:28:28.310 align:middle line:84%
constructs for an entire
genome like yeast.

00:28:28.310 --> 00:28:31.280 align:middle line:84%
But here, the real
advantage of that method

00:28:31.280 --> 00:28:33.560 align:middle line:84%
is there's no worry of
cross-hybridization.

00:28:33.560 --> 00:28:36.380 align:middle line:84%
With in-situs, with
northerns, with arrays,

00:28:36.380 --> 00:28:40.400 align:middle line:84%
there is a chance that
if you probe for RNA x,

00:28:40.400 --> 00:28:42.800 align:middle line:84%
it will happen to
hybridize, especially

00:28:42.800 --> 00:28:44.690 align:middle line:84%
if it's present
in high abundance,

00:28:44.690 --> 00:28:46.970 align:middle line:84%
it will happen to hybridize
to one or the other ones.

00:28:46.970 --> 00:28:48.590 align:middle line:84%
But with a reporter
construct, we

00:28:48.590 --> 00:28:53.720 align:middle line:84%
will take a fluorescent protein
array, a luminescent protein

00:28:53.720 --> 00:28:57.170 align:middle line:84%
and hook it up to the gene,
and insist with the gene

00:28:57.170 --> 00:28:59.060 align:middle line:90%
you're interested in.

00:28:59.060 --> 00:29:01.610 align:middle line:84%
And that will
directly or indirectly

00:29:01.610 --> 00:29:06.380 align:middle line:84%
monitor the expression
of your favorite gene.

00:29:06.380 --> 00:29:10.370 align:middle line:84%
That has no possibility
for cross-hybridization.

00:29:10.370 --> 00:29:13.310 align:middle line:84%
We've talked about the
advantages of counting.

00:29:13.310 --> 00:29:16.070 align:middle line:84%
The disadvantage
is of course cost.

00:29:16.070 --> 00:29:18.110 align:middle line:84%
It allows you to
do gene discovery.

00:29:18.110 --> 00:29:20.810 align:middle line:84%
It doesn't address
alternative splicing.

00:29:20.810 --> 00:29:26.800 align:middle line:90%


00:29:26.800 --> 00:29:29.470 align:middle line:84%
Here's an example of comparing
two of those methods.

00:29:29.470 --> 00:29:32.530 align:middle line:84%
As microarrays are
being introduced,

00:29:32.530 --> 00:29:36.940 align:middle line:84%
one needs to validate them to
ask whether you're measuring

00:29:36.940 --> 00:29:39.430 align:middle line:84%
one RNA or multiple
RNAs of different sizes

00:29:39.430 --> 00:29:42.490 align:middle line:84%
to ask whether quantifying
a northern blot

00:29:42.490 --> 00:29:44.680 align:middle line:84%
correlates with
quantitating an array.

00:29:44.680 --> 00:29:50.830 align:middle line:84%
And here, you can see a fairly
acceptable linear relationship

00:29:50.830 --> 00:29:52.810 align:middle line:84%
between the two
quantitative measures.

00:29:52.810 --> 00:29:55.420 align:middle line:84%
And this has been
played out many times.

00:29:55.420 --> 00:29:59.830 align:middle line:90%


00:29:59.830 --> 00:30:03.550 align:middle line:84%
The opportunity that you
have when you make an array,

00:30:03.550 --> 00:30:08.290 align:middle line:84%
we said that the SAGE and NPSS
allow you to do discovery.

00:30:08.290 --> 00:30:14.080 align:middle line:84%
But another way of
doing it is putting down

00:30:14.080 --> 00:30:16.630 align:middle line:84%
lots of oligonucleotides,
even oligonucleotides

00:30:16.630 --> 00:30:19.120 align:middle line:84%
in regions where your genome
annotation may not have

00:30:19.120 --> 00:30:20.890 align:middle line:90%
indicated that there's a gene.

00:30:20.890 --> 00:30:24.430 align:middle line:84%
So you can see here the
bottom 60% of this array

00:30:24.430 --> 00:30:27.070 align:middle line:84%
was in so-called
non-protein-coding regions.

00:30:27.070 --> 00:30:29.560 align:middle line:84%
And you can just see what
you get when you do that.

00:30:29.560 --> 00:30:32.530 align:middle line:84%
It doesn't cost that much
more to put down some

00:30:32.530 --> 00:30:34.000 align:middle line:90%
of these non-coding regions.

00:30:34.000 --> 00:30:39.400 align:middle line:84%
And you can ask in these
untranslated regions

00:30:39.400 --> 00:30:42.580 align:middle line:84%
whether there are maybe
antisense RNAs that

00:30:42.580 --> 00:30:44.800 align:middle line:84%
will overlap in the
translated regions.

00:30:44.800 --> 00:30:47.320 align:middle line:84%
Or you can look for DNA
protein interactions

00:30:47.320 --> 00:30:49.070 align:middle line:90%
in certain kinds of experiments.

00:30:49.070 --> 00:30:50.920 align:middle line:84%
And you can look for
RNA fine structure.

00:30:50.920 --> 00:30:52.870 align:middle line:84%
Where does the
gene actually end?

00:30:52.870 --> 00:30:55.060 align:middle line:84%
You may annotate that
the RNA ends here,

00:30:55.060 --> 00:30:57.620 align:middle line:84%
but you need ways of
actually measuring them.

00:30:57.620 --> 00:31:01.390 align:middle line:84%
So there's a lot of uses
for nucleic acid probes

00:31:01.390 --> 00:31:05.140 align:middle line:84%
in so-called non-protein-coding
regions, which

00:31:05.140 --> 00:31:08.380 align:middle line:84%
can range from 12% of the
genome in simple prokaryotes

00:31:08.380 --> 00:31:13.710 align:middle line:84%
to up to 98% of the
genome in humans.

00:31:13.710 --> 00:31:17.120 align:middle line:84%
So what are the sources of
random systematic errors?

00:31:17.120 --> 00:31:20.240 align:middle line:84%
We have a secondary
structure that we

00:31:20.240 --> 00:31:22.670 align:middle line:84%
talked about at the
beginning of this lecture.

00:31:22.670 --> 00:31:25.130 align:middle line:84%
It can cause different
parts of the array

00:31:25.130 --> 00:31:28.280 align:middle line:84%
to have different
hybridization efficiencies.

00:31:28.280 --> 00:31:30.320 align:middle line:84%
The position on our
array to have an effect,

00:31:30.320 --> 00:31:34.640 align:middle line:84%
for example, poor mixing,
if you're making your array

00:31:34.640 --> 00:31:37.010 align:middle line:84%
by a non-reproducible
method, the amount

00:31:37.010 --> 00:31:41.270 align:middle line:84%
of target nucleic acid
immobilized on the array

00:31:41.270 --> 00:31:41.930 align:middle line:90%
can vary.

00:31:41.930 --> 00:31:44.220 align:middle line:84%
And you need to control
for that, for example

00:31:44.220 --> 00:31:47.293 align:middle line:90%
by having an internal standard.

00:31:47.293 --> 00:31:48.710 align:middle line:84%
Cross-hybridization
hybridization,

00:31:48.710 --> 00:31:50.900 align:middle line:90%
we've talked about.

00:31:50.900 --> 00:31:52.430 align:middle line:84%
The unanticipated
transcripts, you

00:31:52.430 --> 00:31:54.560 align:middle line:84%
can handle by
tiling, by basically

00:31:54.560 --> 00:31:57.450 align:middle line:84%
putting oligonucleotides
throughout the genome.

00:31:57.450 --> 00:31:59.930 align:middle line:84%
So here's an example
of spatial effects.

00:31:59.930 --> 00:32:04.580 align:middle line:84%
What you do is spike in
known amounts of known RNAs

00:32:04.580 --> 00:32:06.980 align:middle line:84%
which are present
throughout the array.

00:32:06.980 --> 00:32:10.010 align:middle line:84%
And so these are internally
spiked in addition

00:32:10.010 --> 00:32:14.030 align:middle line:84%
to your unknown fluorescently
labeled arm probes.

00:32:14.030 --> 00:32:19.240 align:middle line:84%
And you can ask whether you're
getting a perfectly uniform,

00:32:19.240 --> 00:32:24.750 align:middle line:84%
edge-to-edge hybridization
with the known for the answer.

00:32:24.750 --> 00:32:29.030 align:middle line:84%
And if you're getting
peaks and troughs,

00:32:29.030 --> 00:32:31.370 align:middle line:84%
then you can use these
internal standards

00:32:31.370 --> 00:32:34.670 align:middle line:84%
to calibrate that particular
hybridization experiment

00:32:34.670 --> 00:32:38.065 align:middle line:84%
and correct for this
kind of systematic error.

00:32:38.065 --> 00:32:39.440 align:middle line:84%
This could occur
again and again.

00:32:39.440 --> 00:32:42.050 align:middle line:84%
Here's two different experiments
giving roughly similar edge

00:32:42.050 --> 00:32:43.400 align:middle line:90%
effects.

00:32:43.400 --> 00:32:45.650 align:middle line:84%
You need to account
for these things

00:32:45.650 --> 00:32:48.830 align:middle line:84%
to avoid that particular
source of systematic errors,

00:32:48.830 --> 00:32:52.880 align:middle line:84%
especially if you put all
of your oligonucleotides

00:32:52.880 --> 00:32:54.620 align:middle line:84%
for a particular gene
near one another.

00:32:54.620 --> 00:32:58.550 align:middle line:84%
A better strategy for
statistical experimental design

00:32:58.550 --> 00:33:02.640 align:middle line:84%
is to put your oligos
randomly throughout the array.

00:33:02.640 --> 00:33:05.420 align:middle line:84%
Here's another one,
unanticipated RNAs.

00:33:05.420 --> 00:33:08.570 align:middle line:84%
Two examples, one an
open reading frame

00:33:08.570 --> 00:33:10.640 align:middle line:90%
of unknown function.

00:33:10.640 --> 00:33:12.410 align:middle line:90%
You can sometimes mis-annotate.

00:33:12.410 --> 00:33:15.500 align:middle line:84%
If you have two open reading
frames on opposite strands,

00:33:15.500 --> 00:33:17.970 align:middle line:84%
it could be one is used,
generally speaking.

00:33:17.970 --> 00:33:19.160 align:middle line:90%
One is used and one isn't.

00:33:19.160 --> 00:33:20.270 align:middle line:84%
And you could pick
the wrong one.

00:33:20.270 --> 00:33:21.740 align:middle line:84%
You might pick the
big one, and it

00:33:21.740 --> 00:33:24.110 align:middle line:84%
could be the little one is
the one that's actually used.

00:33:24.110 --> 00:33:26.270 align:middle line:84%
And that's what
happened in this case.

00:33:26.270 --> 00:33:28.100 align:middle line:90%
And another one is--

00:33:28.100 --> 00:33:29.825 align:middle line:90%
so that was a translated RNA.

00:33:29.825 --> 00:33:32.180 align:middle line:84%
We just happened to
pick the wrong strand.

00:33:32.180 --> 00:33:34.910 align:middle line:84%
Here is an untranslated
RNA, such as the snow

00:33:34.910 --> 00:33:36.440 align:middle line:90%
RNAs we saw before.

00:33:36.440 --> 00:33:41.330 align:middle line:84%
This one is an
untranslated RNA that

00:33:41.330 --> 00:33:43.565 align:middle line:84%
was discovered in a
so-called intergenic region.

00:33:43.565 --> 00:33:49.200 align:middle line:90%


00:33:49.200 --> 00:33:53.620 align:middle line:84%
If you have a statistical
test for the goodness,

00:33:53.620 --> 00:33:59.970 align:middle line:84%
the quality of an individual
oligonucleotide hybridization,

00:33:59.970 --> 00:34:02.190 align:middle line:84%
based on, say, its
reproducibility

00:34:02.190 --> 00:34:07.560 align:middle line:84%
or its relative intensity
that you expect--

00:34:07.560 --> 00:34:09.690 align:middle line:84%
if you have 20 different
oligonucleotides

00:34:09.690 --> 00:34:13.260 align:middle line:84%
all for one gene, and you
expect number 1 typically

00:34:13.260 --> 00:34:15.239 align:middle line:84%
is stronger than
number 2, and then

00:34:15.239 --> 00:34:18.370 align:middle line:84%
you find a case where number
1 is weaker than number 2,

00:34:18.370 --> 00:34:19.860 align:middle line:90%
then you can flag that.

00:34:19.860 --> 00:34:22.570 align:middle line:84%
You can say, I don't believe
that particular spot.

00:34:22.570 --> 00:34:25.060 align:middle line:90%
And if you color-code them all--

00:34:25.060 --> 00:34:28.920 align:middle line:84%
see, here is white
spots, things that

00:34:28.920 --> 00:34:33.034 align:middle line:84%
don't fit your statistical model
for the array hybridization.

00:34:33.034 --> 00:34:35.159 align:middle line:84%
This is the advantage of
having a statistical model

00:34:35.159 --> 00:34:37.710 align:middle line:90%
of the entire process.

00:34:37.710 --> 00:34:40.500 align:middle line:84%
Then you can mark
those as white,

00:34:40.500 --> 00:34:42.090 align:middle line:84%
and you can look
to see whether they

00:34:42.090 --> 00:34:47.159 align:middle line:84%
have a [? statistically ?]
significant spatial

00:34:47.159 --> 00:34:48.909 align:middle line:84%
distribution, which
they do in this case.

00:34:48.909 --> 00:34:50.820 align:middle line:84%
They all seem to be
clumping at this corner.

00:34:50.820 --> 00:34:52.790 align:middle line:90%
Now, what could cause that?

00:34:52.790 --> 00:34:54.540 align:middle line:84%
Well, we've already
illustrated that there

00:34:54.540 --> 00:34:58.200 align:middle line:84%
are ways that you can
use internal standards

00:34:58.200 --> 00:34:59.040 align:middle line:90%
to calibrate.

00:34:59.040 --> 00:35:03.660 align:middle line:84%
This was not a case where we had
poor hybridization efficiency

00:35:03.660 --> 00:35:06.280 align:middle line:84%
or strong hybridization
efficiency around the edges.

00:35:06.280 --> 00:35:09.480 align:middle line:84%
This was something where
the alignment of the grid

00:35:09.480 --> 00:35:12.390 align:middle line:84%
is done by these little
squares along the edge,

00:35:12.390 --> 00:35:14.940 align:middle line:84%
and the computer
algorithm that finds

00:35:14.940 --> 00:35:18.600 align:middle line:84%
these spots was distracted
by this little spot

00:35:18.600 --> 00:35:21.540 align:middle line:84%
off the side, which is not
part of the checkerboard.

00:35:21.540 --> 00:35:26.940 align:middle line:84%
And once you manually correct
that error, now you snap in.

00:35:26.940 --> 00:35:29.550 align:middle line:84%
On the right-hand
side of slide 43

00:35:29.550 --> 00:35:34.950 align:middle line:84%
is now the statistical
model of this after getting

00:35:34.950 --> 00:35:36.600 align:middle line:90%
the alignment right.

00:35:36.600 --> 00:35:40.650 align:middle line:84%
Here, you had been
associating the wrong oligos

00:35:40.650 --> 00:35:42.290 align:middle line:90%
with a particular signal.

00:35:42.290 --> 00:35:43.290 align:middle line:90%
It didn't fit the model.

00:35:43.290 --> 00:35:46.470 align:middle line:84%
Now it fits the model, and you
see the little scattered strips

00:35:46.470 --> 00:35:50.190 align:middle line:84%
of gray where you have
individual genes which

00:35:50.190 --> 00:35:54.300 align:middle line:84%
are misbehaving, rather than
the entire corner of the array.

00:35:54.300 --> 00:35:56.910 align:middle line:84%
OK, so now we get the very
interesting interpretation

00:35:56.910 --> 00:36:03.470 align:middle line:84%
issues where we're using the
same kind of information.

00:36:03.470 --> 00:36:07.370 align:middle line:84%
Once you have a model, a
very sophisticated model

00:36:07.370 --> 00:36:10.250 align:middle line:84%
of how the individual
oligos in the array

00:36:10.250 --> 00:36:14.960 align:middle line:84%
behave, here, what we do
is we take genomic DNA

00:36:14.960 --> 00:36:20.090 align:middle line:84%
as an example of a fairly
equimolar calibration standard.

00:36:20.090 --> 00:36:22.520 align:middle line:84%
If you take genomic
DNA and label it,

00:36:22.520 --> 00:36:25.340 align:middle line:84%
you expect every
segment in the genome

00:36:25.340 --> 00:36:28.460 align:middle line:84%
to be present at
the same molarity,

00:36:28.460 --> 00:36:32.180 align:middle line:84%
with the exception of repetitive
elements, which we'll put aside

00:36:32.180 --> 00:36:33.180 align:middle line:90%
for the moment.

00:36:33.180 --> 00:36:36.650 align:middle line:84%
And so that means that
any place, that is,

00:36:36.650 --> 00:36:39.410 align:middle line:84%
any oligonucleotide
that doesn't hybridize

00:36:39.410 --> 00:36:41.660 align:middle line:84%
with the genomic DNA,
such as these ones that go

00:36:41.660 --> 00:36:44.240 align:middle line:90%
close to baseline here at 0--

00:36:44.240 --> 00:36:47.120 align:middle line:84%
remember this is perfect
mass versus [? mismatch ?]

00:36:47.120 --> 00:36:49.250 align:middle line:90%
that we're plotting on this.

00:36:49.250 --> 00:36:52.220 align:middle line:84%
When you get close to 0 for
the genomic DNA in black,

00:36:52.220 --> 00:36:54.650 align:middle line:84%
that means that really
doesn't hybridize well.

00:36:54.650 --> 00:36:56.610 align:middle line:84%
It's not that it's
missing from the genome.

00:36:56.610 --> 00:36:59.542 align:middle line:84%
It's that it has some
secondary structure.

00:36:59.542 --> 00:37:01.250 align:middle line:84%
So this is the secondary
structure that's

00:37:01.250 --> 00:37:03.710 align:middle line:90%
been a theme for this plot.

00:37:03.710 --> 00:37:09.680 align:middle line:84%
And that sort of
secondary structure

00:37:09.680 --> 00:37:13.070 align:middle line:84%
is actually a piece of data
that you can do data mining on.

00:37:13.070 --> 00:37:15.270 align:middle line:84%
You can go through
the entire genome

00:37:15.270 --> 00:37:17.567 align:middle line:84%
and you can look for
secondary structures.

00:37:17.567 --> 00:37:18.650 align:middle line:90%
And you can ask for those.

00:37:18.650 --> 00:37:22.760 align:middle line:84%
Secondary structures depend
on what part of the genome

00:37:22.760 --> 00:37:23.870 align:middle line:90%
is transcribed.

00:37:23.870 --> 00:37:25.590 align:middle line:90%
Now, here is a messenger RNA.

00:37:25.590 --> 00:37:27.770 align:middle line:84%
This is one of the
few messenger RNAs

00:37:27.770 --> 00:37:30.470 align:middle line:84%
for which you have a
plausible secondary structure.

00:37:30.470 --> 00:37:33.200 align:middle line:84%
Most secondary structures
are on structural RNAs

00:37:33.200 --> 00:37:35.780 align:middle line:84%
or enzyme-related RNAs,
the ribosomal RNAs,

00:37:35.780 --> 00:37:37.080 align:middle line:90%
[INAUDIBLE] RNAs, and so forth.

00:37:37.080 --> 00:37:41.270 align:middle line:84%
This is the messenger RNA
for this gene product, LTT.

00:37:41.270 --> 00:37:45.770 align:middle line:84%
And if you look where
this black arrow is

00:37:45.770 --> 00:37:50.330 align:middle line:84%
coming from the right-hand
0 you'll see a long helix.

00:37:50.330 --> 00:37:53.600 align:middle line:84%
And that helix is at the 3'
end of the messenger RNA,

00:37:53.600 --> 00:37:57.110 align:middle line:84%
and it's very well characterized
both structurally and

00:37:57.110 --> 00:37:57.920 align:middle line:90%
functionally.

00:37:57.920 --> 00:38:01.940 align:middle line:84%
And it's known to be
involved in at least one

00:38:01.940 --> 00:38:03.530 align:middle line:84%
important biological
process, which

00:38:03.530 --> 00:38:05.330 align:middle line:84%
is the termination
of transcription.

00:38:05.330 --> 00:38:07.850 align:middle line:84%
When you get close to
the end of the RNA,

00:38:07.850 --> 00:38:09.920 align:middle line:84%
that [? pair ?] can reform,
and it sends a signal

00:38:09.920 --> 00:38:13.040 align:middle line:84%
to the transcription
apparatus to stop.

00:38:13.040 --> 00:38:15.710 align:middle line:84%
So that is a believable
hairpin of known function.

00:38:15.710 --> 00:38:19.400 align:middle line:84%
And the interesting
feature of this microarray

00:38:19.400 --> 00:38:21.410 align:middle line:84%
is that's one of
the places where

00:38:21.410 --> 00:38:24.950 align:middle line:84%
both the genomic DNA in
black and two completely

00:38:24.950 --> 00:38:27.770 align:middle line:84%
different RNA samples
fail to hybridize,

00:38:27.770 --> 00:38:34.070 align:middle line:84%
consistent with it being a very
strong hairpin with a dozen

00:38:34.070 --> 00:38:37.190 align:middle line:90%
G, C and A base pairs.

00:38:37.190 --> 00:38:40.370 align:middle line:84%
Another thing you can derive
from this detailed model

00:38:40.370 --> 00:38:43.640 align:middle line:84%
of the array, here, you have
60 different oligonucleotides

00:38:43.640 --> 00:38:46.895 align:middle line:84%
along the gene and adjacent
intergenic regions.

00:38:46.895 --> 00:38:50.540 align:middle line:84%
The question is, where does
the RNA transcription stop.

00:38:50.540 --> 00:38:57.270 align:middle line:84%
Well, if you look in the places
where the DNA control is high,

00:38:57.270 --> 00:39:01.880 align:middle line:84%
you'll find the RNA is high,
going from right to left.

00:39:01.880 --> 00:39:03.170 align:middle line:90%
The RNA tracks the DNA.

00:39:03.170 --> 00:39:05.600 align:middle line:84%
The red and blue
tracks the black

00:39:05.600 --> 00:39:09.410 align:middle line:90%
until you get to position -33.

00:39:09.410 --> 00:39:14.360 align:middle line:84%
And there, the red and blue
drop to baseline, and the Black

00:39:14.360 --> 00:39:17.870 align:middle line:84%
stays going up and
down at a higher level.

00:39:17.870 --> 00:39:21.170 align:middle line:84%
And that happens to coincide
with the known transcriptional

00:39:21.170 --> 00:39:21.710 align:middle line:90%
start.

00:39:21.710 --> 00:39:23.720 align:middle line:84%
And so that would be
another way of mapping

00:39:23.720 --> 00:39:25.580 align:middle line:90%
the transcriptional start.

00:39:25.580 --> 00:39:31.310 align:middle line:84%
You'll notice that some of
the hybridization intentially

00:39:31.310 --> 00:39:32.360 align:middle line:90%
drops below 0.

00:39:32.360 --> 00:39:37.430 align:middle line:84%
This is just an artifact
of having the perfect match

00:39:37.430 --> 00:39:38.630 align:middle line:90%
minus the mismatch.

00:39:38.630 --> 00:39:43.100 align:middle line:84%
If it happens to be the case
that your mismatch control is

00:39:43.100 --> 00:39:46.190 align:middle line:84%
cross-reacting with
some other DNA,

00:39:46.190 --> 00:39:48.830 align:middle line:84%
say repetitive DNA
in the genome or RNA,

00:39:48.830 --> 00:39:53.190 align:middle line:84%
then it can get actually more
intense than the perfect match.

00:39:53.190 --> 00:39:54.830 align:middle line:84%
And so you can get
a negative value.

00:39:54.830 --> 00:39:58.760 align:middle line:84%
But otherwise, the negative
intensity would be meaningless.

00:39:58.760 --> 00:40:01.520 align:middle line:90%
Now, splice domains.

00:40:01.520 --> 00:40:04.800 align:middle line:84%
In principle, you can go
through the whole human genome

00:40:04.800 --> 00:40:06.920 align:middle line:84%
and you predict where
all the exons are,

00:40:06.920 --> 00:40:09.530 align:middle line:84%
where all the splice junctions
are, and in principle, even all

00:40:09.530 --> 00:40:10.640 align:middle line:90%
the alternative splicing.

00:40:10.640 --> 00:40:13.110 align:middle line:90%
In practice, is not that easy.

00:40:13.110 --> 00:40:16.670 align:middle line:84%
And you can use all the
hidden Markov models

00:40:16.670 --> 00:40:18.200 align:middle line:84%
and so forth we've
been developing.

00:40:18.200 --> 00:40:20.450 align:middle line:84%
You can do
multi-sequence alignments

00:40:20.450 --> 00:40:24.710 align:middle line:84%
to get these motifs here,
where two bits is a full scale.

00:40:24.710 --> 00:40:27.200 align:middle line:84%
And you can find
donors and acceptors

00:40:27.200 --> 00:40:30.560 align:middle line:84%
in this kind of pattern,
GT donor, AG acceptor.

00:40:30.560 --> 00:40:32.600 align:middle line:84%
But when you come
right down to it,

00:40:32.600 --> 00:40:35.900 align:middle line:84%
you want to have some way of
going through this empirically

00:40:35.900 --> 00:40:37.650 align:middle line:90%
as well.

00:40:37.650 --> 00:40:44.315 align:middle line:84%
And so what you can do is you
can basically ignore or look

00:40:44.315 --> 00:40:48.290 align:middle line:84%
sort of independently,
do a tiling of the genome

00:40:48.290 --> 00:40:53.875 align:middle line:84%
with oligonucleotides, as was
done here by Shoemaker et al.

00:40:53.875 --> 00:40:56.000 align:middle line:84%
And this was, I think, one
of the nicer papers that

00:40:56.000 --> 00:41:03.400 align:middle line:84%
came out in the Nature issue
on the human genome [INAUDIBLE]

00:41:03.400 --> 00:41:04.360 align:middle line:90%
sequence.

00:41:04.360 --> 00:41:06.820 align:middle line:84%
Here, as the sequence
was coming out,

00:41:06.820 --> 00:41:08.890 align:middle line:84%
chromosome 22 was one
of the first chromosomes

00:41:08.890 --> 00:41:11.980 align:middle line:90%
nearly completed.

00:41:11.980 --> 00:41:17.380 align:middle line:84%
At the top of slide 47, you see
how the metaphase chromosome

00:41:17.380 --> 00:41:19.990 align:middle line:90%
is banded and labeled.

00:41:19.990 --> 00:41:22.540 align:middle line:84%
If you take a little
[? 113-kit ?] kilobase chunk

00:41:22.540 --> 00:41:24.490 align:middle line:84%
of that, it's the
next line down.

00:41:24.490 --> 00:41:26.980 align:middle line:84%
Then you blow that
up further, and all

00:41:26.980 --> 00:41:29.320 align:middle line:84%
the way down to
oligonucleotide 60-mers,

00:41:29.320 --> 00:41:32.590 align:middle line:84%
tiled every 10 base
pairs as a starting point

00:41:32.590 --> 00:41:36.980 align:middle line:84%
all the way along this
100-kilobit chromosome 22.

00:41:36.980 --> 00:41:39.130 align:middle line:84%
And then you
hybridize it with RNAs

00:41:39.130 --> 00:41:41.230 align:middle line:84%
from a variety of
different human tissues.

00:41:41.230 --> 00:41:45.410 align:middle line:84%
Then you ask, in
the vertical axis,

00:41:45.410 --> 00:41:48.160 align:middle line:84%
what is the log of a
normalized signal intensity

00:41:48.160 --> 00:41:50.200 align:middle line:90%
for these various RNAs.

00:41:50.200 --> 00:41:51.970 align:middle line:84%
And you'll get a
little histogram here,

00:41:51.970 --> 00:41:55.420 align:middle line:84%
where purple spike means
there's a lot of hybridization

00:41:55.420 --> 00:41:57.250 align:middle line:84%
under at least some
of the conditions.

00:41:57.250 --> 00:41:59.320 align:middle line:84%
And then there'll be a
zone where there's almost

00:41:59.320 --> 00:42:00.280 align:middle line:90%
no hybridization.

00:42:00.280 --> 00:42:04.180 align:middle line:84%
And that's because those
introns that we had,

00:42:04.180 --> 00:42:08.120 align:middle line:84%
that we showed in the previous
slide, are spliced out,

00:42:08.120 --> 00:42:10.150 align:middle line:90%
and they're in low abundance.

00:42:10.150 --> 00:42:11.650 align:middle line:84%
They're displaced
out of the nucleus

00:42:11.650 --> 00:42:13.543 align:middle line:84%
before the RNAs
accumulate, so they

00:42:13.543 --> 00:42:14.710 align:middle line:90%
tend to be in low abundance.

00:42:14.710 --> 00:42:18.040 align:middle line:84%
And they're not found in
the mature messenger RNA.

00:42:18.040 --> 00:42:20.890 align:middle line:84%
And so when you label
these up, you're

00:42:20.890 --> 00:42:23.380 align:middle line:84%
selectively labeling
the exons in [? CNA. ?]

00:42:23.380 --> 00:42:26.260 align:middle line:84%
And if you can see,
they coincide well

00:42:26.260 --> 00:42:29.115 align:middle line:84%
with the little green
exons in the annotation,

00:42:29.115 --> 00:42:30.490 align:middle line:84%
except every now
and then, you'll

00:42:30.490 --> 00:42:34.000 align:middle line:84%
find something-- here's
a case for exon 3

00:42:34.000 --> 00:42:38.230 align:middle line:84%
where the green annotation
in the original sequence

00:42:38.230 --> 00:42:39.550 align:middle line:90%
is too short.

00:42:39.550 --> 00:42:42.970 align:middle line:84%
And here's a blow-up near the
bottom where the purple region

00:42:42.970 --> 00:42:46.360 align:middle line:84%
clearly extends beyond the green
annotation in the [INAUDIBLE]

00:42:46.360 --> 00:42:49.750 align:middle line:84%
from sequence algorithm,
sequence analysis

00:42:49.750 --> 00:42:51.910 align:middle line:84%
algorithm, where 102
base pairs should

00:42:51.910 --> 00:42:54.880 align:middle line:84%
be extended five times
to that exon to make it

00:42:54.880 --> 00:42:58.150 align:middle line:90%
a slightly larger exon.

00:42:58.150 --> 00:43:00.320 align:middle line:84%
But when you extend
it by that, you ask,

00:43:00.320 --> 00:43:02.117 align:middle line:84%
well, does it still
have the splice site,

00:43:02.117 --> 00:43:04.450 align:middle line:84%
or does it have a new splice
site that we can recognize.

00:43:04.450 --> 00:43:05.492 align:middle line:90%
And sure enough, it does.

00:43:05.492 --> 00:43:08.740 align:middle line:84%
It has an AG and a fairly
good match to the motif

00:43:08.740 --> 00:43:11.320 align:middle line:90%
we had in the previous slide.

00:43:11.320 --> 00:43:15.700 align:middle line:84%
And you can see that the purple
intensity drops close to 0

00:43:15.700 --> 00:43:19.750 align:middle line:84%
here as soon as you get out
of the exon as now properly

00:43:19.750 --> 00:43:20.780 align:middle line:90%
defined.

00:43:20.780 --> 00:43:25.570 align:middle line:84%
So this is a way of including
additional data in addition

00:43:25.570 --> 00:43:31.210 align:middle line:84%
to the sequence by tiling and
by quantitative hybridization.

00:43:31.210 --> 00:43:34.210 align:middle line:90%


00:43:34.210 --> 00:43:36.660 align:middle line:84%
Now, the last topic
today is time series.

00:43:36.660 --> 00:43:39.300 align:middle line:84%
This connects the
quantitative data

00:43:39.300 --> 00:43:43.410 align:middle line:84%
that we're collecting, where
you're not just collecting

00:43:43.410 --> 00:43:45.540 align:middle line:84%
an isolated condition
and comparing

00:43:45.540 --> 00:43:48.510 align:middle line:90%
it some other condition.

00:43:48.510 --> 00:43:51.000 align:middle line:84%
It actually matters the order
of the different conditions

00:43:51.000 --> 00:43:51.750 align:middle line:90%
that you have.

00:43:51.750 --> 00:43:56.400 align:middle line:84%
And this is a great advantage
in analyzing causality,

00:43:56.400 --> 00:44:02.910 align:middle line:84%
and we'll illustrate it in the
context of messenger RNA decay,

00:44:02.910 --> 00:44:07.620 align:middle line:84%
and finally in ways of aligning
different time series data.

00:44:07.620 --> 00:44:09.900 align:middle line:84%
Now, why do we want
time [? courses? ?]

00:44:09.900 --> 00:44:14.130 align:middle line:84%
If we do a gene knockout or we
do a gene deletion, by the time

00:44:14.130 --> 00:44:18.490 align:middle line:84%
you isolate that mutant and
characterize and do the RNA,

00:44:18.490 --> 00:44:21.240 align:middle line:84%
you've now gotten not
just the primary effects,

00:44:21.240 --> 00:44:25.500 align:middle line:84%
but all the downstream
effects of that knockout.

00:44:25.500 --> 00:44:27.360 align:middle line:84%
So the best would
be to have some kind

00:44:27.360 --> 00:44:30.910 align:middle line:84%
of conditional control
of the transcription,

00:44:30.910 --> 00:44:34.890 align:middle line:84%
so that when you first either
turn it on or turn it off,

00:44:34.890 --> 00:44:40.800 align:middle line:84%
the first events that occur are
likely to be primary events.

00:44:40.800 --> 00:44:44.470 align:middle line:84%
Now, the way that you
control that needs to be,

00:44:44.470 --> 00:44:48.690 align:middle line:84%
not have too many perturbing
forces on the whole system.

00:44:48.690 --> 00:44:53.730 align:middle line:84%
So temperature shift, it's an
easy class of mutation to get,

00:44:53.730 --> 00:44:57.840 align:middle line:84%
but it's not suitable because
there's a huge temperature

00:44:57.840 --> 00:44:59.550 align:middle line:90%
effect on the entire system.

00:44:59.550 --> 00:45:02.760 align:middle line:84%
Chemical knockouts
can be more specific,

00:45:02.760 --> 00:45:05.430 align:middle line:90%
but you need to prove that.

00:45:05.430 --> 00:45:10.980 align:middle line:84%
An example of a fairly
time-honored chemical knockout

00:45:10.980 --> 00:45:14.760 align:middle line:84%
is rifampicin, which
fairly specifically affects

00:45:14.760 --> 00:45:18.670 align:middle line:90%
just the RNA polymerase.

00:45:18.670 --> 00:45:22.800 align:middle line:84%
And so this is an
interesting case,

00:45:22.800 --> 00:45:29.770 align:middle line:84%
where the effect is to stop
initiation of transcription.

00:45:29.770 --> 00:45:32.640 align:middle line:84%
And so then, as we do our
time series, what we see

00:45:32.640 --> 00:45:39.120 align:middle line:84%
is the RNAs for LPP, which
we showed a few slides ago,

00:45:39.120 --> 00:45:40.120 align:middle line:90%
is very stable.

00:45:40.120 --> 00:45:43.680 align:middle line:84%
It basically lasts
longer than the lifetime,

00:45:43.680 --> 00:45:48.000 align:middle line:84%
the doubling time of the cell,
possibly many cell generations.

00:45:48.000 --> 00:45:53.130 align:middle line:84%
And other RNAs, such as CSPE,
have extremely short half-lives

00:45:53.130 --> 00:45:55.170 align:middle line:84%
in the order of 2
and 1/2 minutes.

00:45:55.170 --> 00:45:58.545 align:middle line:84%
And you can compare various
methods for quantitation.

00:45:58.545 --> 00:46:02.760 align:middle line:84%
Then you've come up with
different half-lives here.

00:46:02.760 --> 00:46:06.540 align:middle line:90%


00:46:06.540 --> 00:46:10.440 align:middle line:84%
OK, so that's an example
of a very significant class

00:46:10.440 --> 00:46:16.530 align:middle line:84%
of chemically
manipulated knockouts.

00:46:16.530 --> 00:46:18.810 align:middle line:90%
So you can precisely phase them.

00:46:18.810 --> 00:46:21.420 align:middle line:84%
You have very few
other consequences,

00:46:21.420 --> 00:46:23.430 align:middle line:84%
and then you can
measure a time series.

00:46:23.430 --> 00:46:26.160 align:middle line:84%
It'd be nice to be able to do
that for any particular RNA

00:46:26.160 --> 00:46:28.650 align:middle line:84%
and see what the downstream
consequences are.

00:46:28.650 --> 00:46:31.140 align:middle line:84%
Now, whenever you do
a perturbation where

00:46:31.140 --> 00:46:32.700 align:middle line:84%
you have two time
series, you want

00:46:32.700 --> 00:46:39.570 align:middle line:84%
to know how all
the RNAs occurred

00:46:39.570 --> 00:46:44.310 align:middle line:84%
during heat shock or some
other pulse of some chemical

00:46:44.310 --> 00:46:47.940 align:middle line:84%
relative to pulse of a different
chemical, or the time series

00:46:47.940 --> 00:46:49.905 align:middle line:84%
as it would have
occurred without any.

00:46:49.905 --> 00:46:53.640 align:middle line:84%
You can see how they
won't necessarily

00:46:53.640 --> 00:46:55.200 align:middle line:90%
align up point by point.

00:46:55.200 --> 00:46:56.698 align:middle line:84%
You can't just
start them at time 0

00:46:56.698 --> 00:46:57.990 align:middle line:90%
and expect them all to line up.

00:46:57.990 --> 00:46:59.948 align:middle line:84%
In fact, you can't even
expect them necessarily

00:46:59.948 --> 00:47:02.070 align:middle line:84%
to line up where you
have a uniform stretch.

00:47:02.070 --> 00:47:05.490 align:middle line:84%
You might have to have piecewise
stretch, where certain parts go

00:47:05.490 --> 00:47:06.730 align:middle line:90%
faster than others.

00:47:06.730 --> 00:47:09.750 align:middle line:84%
Now, this may hopefully
click in your mind

00:47:09.750 --> 00:47:11.910 align:middle line:84%
a connection to the
dynamic programming, where

00:47:11.910 --> 00:47:15.870 align:middle line:84%
we had two sequences of
bases or amino acids.

00:47:15.870 --> 00:47:17.730 align:middle line:84%
And you wanted to
expand or contract

00:47:17.730 --> 00:47:24.450 align:middle line:84%
different sections of those
by inserting a placeholder.

00:47:24.450 --> 00:47:26.850 align:middle line:84%
Well, it doesn't make
quite as much sense here

00:47:26.850 --> 00:47:29.400 align:middle line:84%
with time series to
insert a placeholder.

00:47:29.400 --> 00:47:31.030 align:middle line:90%
So you can do that.

00:47:31.030 --> 00:47:33.720 align:middle line:84%
You can have a
discrete block diagram.

00:47:33.720 --> 00:47:40.350 align:middle line:84%
Just this, here's series A
and B in middle upper diagram.

00:47:40.350 --> 00:47:43.080 align:middle line:84%
Or you can have a more
continuous function,

00:47:43.080 --> 00:47:46.650 align:middle line:84%
where you've tried to
more smoothly warp.

00:47:46.650 --> 00:47:49.230 align:middle line:84%
Both of these are dynamic
programming algorithms.

00:47:49.230 --> 00:47:52.770 align:middle line:84%
The smooth warping is slightly
more a little more complicated.

00:47:52.770 --> 00:47:54.960 align:middle line:84%
The insertion deletion
one is exactly

00:47:54.960 --> 00:47:57.240 align:middle line:84%
the same three conditions
that we went through

00:47:57.240 --> 00:48:01.730 align:middle line:84%
for pairwise alignments
in dynamic programming.

00:48:01.730 --> 00:48:09.440 align:middle line:84%
But this is partly to drive
home how many different ways you

00:48:09.440 --> 00:48:11.060 align:middle line:90%
can use dynamic programming.

00:48:11.060 --> 00:48:14.570 align:middle line:84%
You can use it in HMMs, which is
that multi-sequence alignment,

00:48:14.570 --> 00:48:17.360 align:middle line:84%
and now for time series
and gene expression.

00:48:17.360 --> 00:48:23.360 align:middle line:84%
And you can see, from the
literature on cell cycle,

00:48:23.360 --> 00:48:25.760 align:middle line:84%
almost all of the
data time series

00:48:25.760 --> 00:48:29.000 align:middle line:84%
that we have so far actually
don't align perfectly point

00:48:29.000 --> 00:48:31.700 align:middle line:84%
by point, because you use
wildly physiologically

00:48:31.700 --> 00:48:36.080 align:middle line:84%
different conditions to get
cells to synchronize, say,

00:48:36.080 --> 00:48:41.300 align:middle line:84%
for cell division, or to start
an event here using a mating

00:48:41.300 --> 00:48:44.120 align:middle line:84%
pheromone, a small
peptide that's

00:48:44.120 --> 00:48:48.260 align:middle line:84%
released in the media that
kind of controls the cell cycle

00:48:48.260 --> 00:48:50.930 align:middle line:84%
and allows you to arrest and
then release from arrest,

00:48:50.930 --> 00:48:52.640 align:middle line:84%
or a temperature-sensitive
mutant,

00:48:52.640 --> 00:48:54.410 align:middle line:84%
even though I malign
temperature-sensitive

00:48:54.410 --> 00:48:55.590 align:middle line:90%
in just a moment.

00:48:55.590 --> 00:48:58.910 align:middle line:84%
It is one of the most
precise ways of getting

00:48:58.910 --> 00:49:01.730 align:middle line:90%
synchrony of cell division.

00:49:01.730 --> 00:49:05.612 align:middle line:84%
Cell division is a particularly
good illustrative notion,

00:49:05.612 --> 00:49:07.820 align:middle line:84%
partly because we mentioned
it earlier in the course.

00:49:07.820 --> 00:49:11.030 align:middle line:84%
But also, if you think of
any dividing set of cells,

00:49:11.030 --> 00:49:13.070 align:middle line:84%
many of the cell types
that you'd be interested

00:49:13.070 --> 00:49:19.670 align:middle line:84%
are dividing-- stem cells,
microbial cells and so on.

00:49:19.670 --> 00:49:23.400 align:middle line:84%
That automatically is
a mixture of cells.

00:49:23.400 --> 00:49:25.972 align:middle line:84%
If you mush them
up and extract RNA,

00:49:25.972 --> 00:49:27.680 align:middle line:84%
you're kidding yourself
if you think this

00:49:27.680 --> 00:49:29.300 align:middle line:90%
was a homogeneous population.

00:49:29.300 --> 00:49:35.040 align:middle line:84%
If on the other hand, you
synchronize the cells,

00:49:35.040 --> 00:49:39.150 align:middle line:84%
then you've removed one major
variable that could confound.

00:49:39.150 --> 00:49:42.750 align:middle line:84%
Now they are much
more homogeneous cells

00:49:42.750 --> 00:49:44.820 align:middle line:84%
that are in the same
state, and the cell cycle

00:49:44.820 --> 00:49:47.607 align:middle line:84%
can be synchronously
isolated as a population.

00:49:47.607 --> 00:49:49.440 align:middle line:84%
There may be other
sources of heterogeneity,

00:49:49.440 --> 00:49:51.090 align:middle line:90%
but you've eliminated a big one.

00:49:51.090 --> 00:49:53.850 align:middle line:84%
In any case, you take
these two data series.

00:49:53.850 --> 00:49:57.120 align:middle line:84%
They have different time
constants, different lengths,

00:49:57.120 --> 00:49:58.470 align:middle line:90%
and even different warps.

00:49:58.470 --> 00:50:01.350 align:middle line:84%
Now, you want to take the
x's and superimpose them

00:50:01.350 --> 00:50:02.790 align:middle line:90%
on the o's.

00:50:02.790 --> 00:50:05.040 align:middle line:84%
And here's an
example of that now.

00:50:05.040 --> 00:50:07.788 align:middle line:84%
They're both put
together, and even

00:50:07.788 --> 00:50:09.330 align:middle line:84%
though there may be
little deviations

00:50:09.330 --> 00:50:11.220 align:middle line:84%
for any particular
gene, when you

00:50:11.220 --> 00:50:14.040 align:middle line:84%
talk about the thousands
of different genes, very

00:50:14.040 --> 00:50:15.000 align:middle line:90%
rich pattern.

00:50:15.000 --> 00:50:20.430 align:middle line:84%
Lots of information, plenty of
opportunity for smoothing out

00:50:20.430 --> 00:50:21.420 align:middle line:90%
individual variations.

00:50:21.420 --> 00:50:24.000 align:middle line:84%
But here, you get
superimposed patterns.

00:50:24.000 --> 00:50:26.520 align:middle line:84%
And here's the traceback
that tells you exactly where

00:50:26.520 --> 00:50:31.020 align:middle line:84%
the insertions and deletions
or smooth warping might occur

00:50:31.020 --> 00:50:35.530 align:middle line:84%
to align these two different
cell cycles' data sets.

00:50:35.530 --> 00:50:40.530 align:middle line:84%
So in summary, we've connected
the multi-sequence alignments

00:50:40.530 --> 00:50:46.470 align:middle line:84%
from last class to allow
you to model RNA structure,

00:50:46.470 --> 00:50:48.360 align:middle line:84%
how RNA structure
helps you model it.

00:50:48.360 --> 00:50:52.740 align:middle line:84%
An interesting class
of RNA guide sequences

00:50:52.740 --> 00:50:56.310 align:middle line:84%
involved in methylation
as an illustration

00:50:56.310 --> 00:50:59.430 align:middle line:84%
of finding genes that
don't encode proteins.

00:50:59.430 --> 00:51:02.250 align:middle line:84%
And we talked about various
quantitation methods, errors

00:51:02.250 --> 00:51:04.860 align:middle line:84%
that present and
solutions of errors,

00:51:04.860 --> 00:51:07.800 align:middle line:84%
statistical methods for asking
whether two distributions are

00:51:07.800 --> 00:51:13.950 align:middle line:84%
related or have no
difference in their means,

00:51:13.950 --> 00:51:17.340 align:middle line:84%
interpretation errors about
where RNAs start and stop,

00:51:17.340 --> 00:51:19.290 align:middle line:84%
how you get
alternative splicing,

00:51:19.290 --> 00:51:21.210 align:middle line:84%
and finally time
series data, which

00:51:21.210 --> 00:51:25.830 align:middle line:84%
we will find very useful
for connecting RNA

00:51:25.830 --> 00:51:31.560 align:middle line:84%
and protein measures over time
series for analyzing causality

00:51:31.560 --> 00:51:33.450 align:middle line:90%
and systems biologies.

00:51:33.450 --> 00:51:35.020 align:middle line:90%
OK, thank you very much.

00:51:35.020 --> 00:51:36.400 align:middle line:90%
See you next time.

00:51:36.400 --> 00:51:40.130 align:middle line:84%
Be sure to get your problem sets
in to your teaching fellows.

00:51:40.130 --> 00:51:41.000 align:middle line:90%