Skip to main content Accessibility help
×
Hostname: page-component-848d4c4894-wzw2p Total loading time: 0 Render date: 2024-06-05T21:42:18.090Z Has data issue: false hasContentIssue false

3 - Fractionation with Multiple Organs-at-Risk

Published online by Cambridge University Press:  05 October 2023

Archis Ghate
Affiliation:
University of Washington
Get access

Summary

This chapter extends the formulation from the previous chapter by including multiple organs-at-risk. The four analytical solution methods from the previous chapter are generalized to this case. Again, the structure of the solution depends on the relative values of the LQ dose-response parameters of the tumor and the organs-at-risk. The four solution methods are only adequate in two of the three possibilities that can arise regarding these relative parameter values. While these two possibilities are natural extensions of similar scenarios from the previous chapter, the third one is unique to this chapter. The chapter thus includes a fifth solution method to tackle this third possibility. That approach relies on reformulating the quadratically constrained quadratic program as an equivalent linear program with two variables. Clinical insights are obtained via numerical experiments.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2023

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×