15.071 | Spring 2017 | Graduate

# The Analytics Edge

8.3 Radiation Therapy: An Application of Linear Optimization

## 8.3 Radiation Therapy: An Application of Linear Optimization

### Quick Question

In the previous video, we constructed the optimization problem (see the last slide).

If the beamlet intensity of the first beamlet is set to 3, how much radiation will that beamlet deliver to tumor voxels?

Exercise 1

Numerical Response

How much radiation will it deliver to healthy tissue voxels?

Exercise 2

Numerical Response

Explanation

Beamlet 1 hits one tumor voxel, and two healthy tissue voxels. At unit intensity, it delivers a dose of 2 to the tumor voxel, a dose of 2 to the first healthy tissue voxel, and a dose of 1 to the second healthy tissue voxel. At intensity 3, this means that it will deliver a dose of 2*3 = 6 to the tumor voxel, and 2*3 + 1*3 = 9 to the healthy tissue voxels.

## Course Info

Spring 2017
##### Learning Resource Types
Lecture Videos
Lecture Notes
Problem Sets with Solutions