Open AccessAPPLICATION OF THE PONTRYAGIN MAXIMUM PRINCIPLE TO CONTROL TUMOR ANGIOGENESIS
Author(s) -
Cherif Abdelillah Otmane
Publication year - 2021
Publication title -
chronos journal
Language(s) - English
Resource type - Journals
ISSN - 2658-7556
DOI - 10.52013/2658-7556-62-12-16
Subject(s) - pontryagin's minimum principle , optimal control , maximum principle , extension (predicate logic) , angiogenesis , mathematics , control (management) , trajectory , mathematical optimization , control theory (sociology) , computer science , medicine , artificial intelligence , physics , cancer research , quantum mechanics , programming language
We present a sample application covering several cases using an extension of the Pontryagin Minimum Principle (PMP) [3]. We are interested in the management of tumor angiogenesis, that is, the therapeutic management of the proliferation of cancer cells that develop new blood vessels. Let us formulate the problem and derive the optimal control and apply the Pontryagin maximum principle to our optimal trajectory, and we derive the theorem and check it with an example. Then we will study stabilization.