optimal control
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Mathematical Model of Cancer Growth and Tumor-Immune-Host Cell Interactions with Chemotherapy and Optimal Treatment Strategies
Abstract: This study investigates tumor-immune interactions within the context of chemotherapy using a mathematical model. The model’s solutions are proven to exist, be unique, non-negative, and bounded. Both untreated and chemotherapy-treated systems are examined for equilibrium points, with local stability analyzed using the Routh–Hurwitz criterion and global stability established through a Lyapunov function. A quadratic optimal control strategy is applied to minimize tumor cells while limiting chemotherapy's side effects on healthy …
Published in International Journal of Biomedical Innovations and Engineering · Vol. 4, Issue 2, 2026 · pp. 8–18 Read article
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Hopf Bifurcation–Driven Chiral Amplification in an Oregonator-Based Oscillatory Chemical System with Optimal Control of Time-Scale Separation
Abstract: Nonlinear chemical systems exhibiting oscillatory kinetics and symmetry-breaking behavior have been widely studied in the context of reaction–diffusion chemistry and crystallization processes. However, the interaction between oscillatory dynamics and chiral amplification mechanisms remains insufficiently understood within a unified dynamical systems framework. This work aims to develop and analyze a reduced-order nonlinear model that couples an Oregonator-type activator–inhibitor system with a chiral response variable, and to investigate the role of Hopf …
Published in Journal of Control & Instrumentation · Vol. 17, Issue 3, 2026 Read article