MATHEMATICAL MODEL OF A CANCER CELL WITH CHEMOTHERAPY

Prelegent(ci)

Olajide Olaoye

Afiliacja

University of L'Aquila, Italy, and Silesian University of Technology, Poland

Język referatu

angielski

Termin

20 maja 2026 14:15

Pokój

p. 5070

Seminarium

Seminarium Zakładu Biomatematyki i Teorii Gier

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Cancer is a leading cause of death worldwide, characterised by uncontrolled cell growth and invasion. This study investigates how chemotherapy dose adjustment can serve as a control strategy for reducing tumour cell populations while accounting for immune system interactions. A mathematical model describing tumour--immune dynamics under chemotherapy is analysed, consisting of three ordinary differential equations representing effector immune cells, cancer cells, and drug concentration. Equilibrium points, including the cancer-free equilibrium and the endemic equilibrium, are derived and analysed for stability. Numerical simulations are performed using MAPLE. The results show that when the cancer growth rate is low, the tumour is eliminated within 20 days. However, for a high cancer growth rate combined with a low chemotherapy dose, the tumour persists at the endemic equilibrium. Increasing the chemotherapy dose reverses this outcome, leading to tumour reduction even under high growth conditions. The cancer-free equilibrium is shown to be locally asymptotically stable under a derived threshold condition, while the endemic equilibrium remains stable for sufficiently high tumour growth rates. The study concludes that chemotherapy dose escalation can effectively control aggressive tumours and that early detection significantly improves treatment outcomes.

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