PERIODICALLY PULSED IMMUNOTHERAPY IN A MATHEMATICAL MODEL OF TUMOR-IMMUNE INTERACTION

DOI10.1142/S0218127413500685zbMath1270.34143OpenAlexW2064040655MaRDI QIDQ2845197

Jenn-Tsann Lin, Hsiu-Chuan Wei

Publication date: 22 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127413500685

zbMATH Keywords

numerical computationimpulsive differential equationcancerimmunotherapy

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Cell biology (92C37) Qualitative investigation and simulation of ordinary differential equation models (34C60) Attractors of solutions to ordinary differential equations (34D45)

Related Items (17)

A modified numerical method for bifurcations of fixed points of ODE systems with periodically pulsed inputs ⋮ Global dynamics of a state-dependent feedback control system ⋮ Bistability in a model of tumor-immune system interactions with an oncolytic viral therapy ⋮ Bifurcation Analysis of a Tumour-Immune Model with Nonlinear Killing Rate as State-Dependent Feedback Control ⋮ Mathematical and numerical analysis of a mathematical model of mixed immunotherapy and chemotherapy of cancer ⋮ Adaptive backstepping controller design for MIMO cancer immunotherapy using Laguerre polynomials ⋮ Ultimate dynamics of the Kirschner-Panetta model: tumor eradication and related problems ⋮ Multiple colonies of cancer involved in mutual suppression with the immune system ⋮ STOCHASTIC DYNAMICS BETWEEN THE IMMUNE SYSTEM AND CANCER CELLS WITH ALLEE EFFECT AND IMMUNOTHERAPY ⋮ Complexities and Bifurcations Induced by Drug Responses in a Pulsed Tumour-Immune Model ⋮ Thresholds for extinction and proliferation in a stochastic tumour-immune model with pulsed comprehensive therapy ⋮ Modelling effects of a chemotherapeutic dose response on a stochastic tumour-immune model ⋮ DETERMINISTIC PREDATOR–PREY MODELS WITH DISEASE IN THE PREY POPULATION ⋮ Modelling pulsed immunotherapy of tumour-immune interaction ⋮ Bifurcations in a Cancer and Immune Model with Allee Effect ⋮ A mathematical model of intraguild predation with prey switching ⋮ Periodically pulsed immunotherapy in a mathematical model of tumor, CD4\(^+\) T cells, and antitumor cytokine interactions

Cites Work

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