Free End-Time Optimal Control Problem for Cancer Chemotherapy

• Published in: Differential equations and dynamical systems Vol. 33; no. 3; pp. 831 - 847
• Main Authors: Zouhri, Samira, EL Baroudi, Mohcine
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.07.2025; Springer Nature B.V
• Subjects: Cancer; Chemotherapy; Computer Science; Control theory; Engineering; Mathematics; Mathematics and Statistics; Optimization; Original Research; Pontryagin principle; Runge-Kutta method; Side effects; Time optimal control; Tumors; Chemotherapy; Free end-time problem; Optimal control; Cancer

The main motivation for this work is to determine the optimal dosage and duration for cancer chemotherapy that minimizes tumor cell number, treatment side effects, and therapy cost using optimal control theory for a model representing the interaction between immune and tumor cells with chemotherapy...