Optimal fractionation in radiotherapy / Archis Ghate.

Format:

Book

Author/Creator:

Ghate, Archis, author.

Language:

English

Subjects (All):

Radiotherapy.

Physical Description:

1 online resource (x, 156 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2024.

Summary:

This monograph provides a mathematically rigorous overview of optimal fractionation in cancer radiotherapy, which seeks to address the fundamental tradeoff of maximizing tumor-kill while protecting nearby healthy tissue from toxic effects. Most mathematical research on exact solutions to this problem is scattered across journals in applied mathematics, operations research, radiobiology, medicine, and medical physics. These works rarely include rigorous proofs or detailed derivations of their methodologies. Moreover, computer programs utilized for conducting numerical experiments seldom accompany these publications, thereby jeopardizing reproducibility. This monograph aims to provide a comprehensive pedagogical reference that brings researchers up to speed on optimal fractionation, utilizing and illustrating analytical techniques from linear algebra, calculus, linear programming, quadratic and nonlinear programming, robust optimization, and inverse optimization. Its purpose is to help readers understand the mathematics behind the optimal fractionation problem, empowering them to contribute original work to this field.

Contents:

Fractionation with a single organ-at-risk

Fractionation with multiple organs-at-risk

Robust fractionation

Inverse fractionation

Spatiotemporally integrated fractionation

Robust spatiotemporally integrated fractionation

Fractionation with two modalities

Robust fractionation with two modalities

Directions for future work.

Notes:

Title from publisher's bibliographic system (viewed on 09 Oct 2023).

Other Format:

Print version:

ISBN:

9781009341110 (ebook)

Access Restriction:

Restricted for use by site license.