Downloads: 0
Research Paper | Mathematics | Volume 15 Issue 4, April 2026 | Pages: 926 - 933 | Sudan
Optimal Control of Cancer Treatment Model with an Isoperimetric Constraint: Analytical and Numerical Study
Abstract: This study examines an optimal control framework for a cancer treatment model with an isoperimetric constraint representing a bounded total drug dosage. The objective is to minimize tumor burden and treatment cost using Pontryagin's Maximum Principle to derive necessary optimality conditions. An auxiliary state variable is introduced to transform the constrained problem into a standard optimal control formulation. Analytical results are supported by numerical simulations, and a comparative analysis is conducted between constrained and unconstrained control strategies. The results show that the isoperimetric constraint leads to time varying dosing policies, while the unconstrained case yields constant control, highlighting the importance of cumulative dosage limits in treatment design.
Keywords: Optimal control, Pontryagin's Maximum Principle, Isoperimetric constraint, Mathematical oncology, Chemotherapy, Tumor growth, Optimal dosing strategy, Sensitivity analysis
How to Cite?: Ashraf Awadelkarim Suliman, Hala Abbas Badawi Laz, Salwa Harfy Wadie, "Optimal Control of Cancer Treatment Model with an Isoperimetric Constraint: Analytical and Numerical Study", Volume 15 Issue 4, April 2026, International Journal of Science and Research (IJSR), Pages: 926-933, https://www.ijsr.net/getabstract.php?paperid=SR26413124204, DOI: https://dx.dx.doi.org/10.21275/SR26413124204