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First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Optimal Control Problem of a Metronomic Chemotherapy

Authors : Dieter Grass, Valeriya Lykina

Published in: Large-Scale Scientific Computing

Publisher: Springer International Publishing

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Abstract

In this paper we consider a metronomic chemotherapy model which is optimally controlled over the expected future lifetime of the particular patient. Under certain assumptions concerning the distribution of the future lifetime of the patient, it can be easily transformed to a purely deterministic optimal control problem with infinite horizon. To solve the latter the open source software package OCMat was used. Solutions to optimal control problems with \(L_2-\) and regularized \(L_1-\)objective functionals have been compared.

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previous chapter Solutions to the Hamilton-Jacobi Equation for Bolza Problems with State Constraints and Discontinuous Time Dependent Data
next chapter Asymptotic Behaviour of Controllability Gramians and Convexity of Small-Time Reachable Sets
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Metadata
Title
Optimal Control Problem of a Metronomic Chemotherapy
Authors
Dieter Grass
Valeriya Lykina
Copyright Year
2020
Book
Large-Scale Scientific Computing

Print ISBN: 978-3-030-41031-5

Electronic ISBN: 978-3-030-41032-2

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-41032-2_4

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