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• W3038442353 abstract "Responses to drugs play key roles in exploring how drug toxicity affects the evolution of tumour cells. We model pulsed comprehensive therapies using an impulsive tumour-immune model, in which the application of comprehensive therapies is dependent on a threshold tumour size. By employing the definitions and properties of the Poincaré map, we show that the effector cell eradication periodic solution is globally stable under threshold conditions. In the light of bifurcation theorems, it is shown that transcritical bifurcations can occur with respect to many treatment parameters including depletion rate, chemotherapeutic drug concentration, a medicine toxicity coefficient and the accumulation rate of effector cells. Then we provide conditions for the existence of order-[Formula: see text] [Formula: see text] periodic solutions. The results indicate that the threshold [Formula: see text] is sensitive to treatment parameters and the proposed system exists with very complex dynamics when treatment parameters are chosen as bifurcation parameters. Moreover, a therapeutic protocol with a smaller chemotherapy drug dosage and more frequent applications is more effective for maintaining a high tumour cell depletion rate." @default.
• W3038442353 created "2020-07-10" @default.
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• W3038442353 date "2020-06-15" @default.
• W3038442353 modified "2023-10-11" @default.
• W3038442353 title "Complexities and Bifurcations Induced by Drug Responses in a Pulsed Tumour-Immune Model" @default.
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• W3038442353 doi "https://doi.org/10.1142/s0218127420501047" @default.
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