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Research Article | Open Access

Optimal control of a chemotaxis equation arising in angiogenesis

M. Delgado1, I. Gayte1, C. Morales-Rodrigo1( )
Dpto. Ecuaciones Diferenciales y Análisis Numérico, Fac. Matemáticas, Univ. de Sevilla, Calle Tarfia s/n, 41012, Sevilla, Spain
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Abstract

In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the angiogenesis. We show the existence of an optimal control, we characterize the optimal control as a solution of the optimality system and we show the uniqueness of the optimal control for short times.

Keywords

chemotaxisanti-angiogenic therapyoptimal control

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Mathematics in Engineering
Volume 4 Issue 6,
December 2022
Pages 1-25
DOI: 10.3934/mine.2022047

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Cite this article:
Delgado M, Gayte I, Morales-Rodrigo C. Optimal control of a chemotaxis equation arising in angiogenesis. Mathematics in Engineering, 2022, 4(6): 1-25. https://doi.org/10.3934/mine.2022047

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Received: 03 February 2021
Accepted: 02 October 2021
Published: 15 December 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)