DISCRETE KINETIC CELLULAR MODELS OF TUMORS IMMUNE SYSTEM INTERACTIONS

DOI10.1142/S021820259600050XzbMath0874.92022MaRDI QIDQ3125111

Mauro Lo Schiavo

Publication date: 11 November 1997

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

interactionscompetitionkinetic modellingperiodicity propertiesactive immune defence systemcellular dynamics of tumors

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50)

Related Items (13)

MODELLING OF THE IMMUNE RESPONSE: CONCEPTUAL FRAMEWORKS AND APPLICATIONS ⋮ TOWARDS MATHEMATICAL MODELS IN PSYCHOLOGY: A STOCHASTIC DESCRIPTION OF HUMAN FEELINGS ⋮ From the Boltzmann equation to generalized kinetic models in applied sciences ⋮ Modelling complex systems in applied sciences; methods and tools of the mathematical kinetic theory for active particles ⋮ TUMOR/IMMUNE SYSTEM COMPETITION WITH MEDICALLY INDUCED ACTIVATION/DEACTIVATION ⋮ Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition ⋮ TUMOR/IMMUNE SYSTEM COMPETITION WITH MEDICALLY INDUCED ACTIVATION/DEACTIVATION ⋮ Kinetic equations modelling population dynamics ⋮ Modelling and mathematical problems related to tumor evolution and its interaction with the immune system ⋮ Modelling and simulating the effect of cytokines on the immune response to tumor cells. ⋮ Analysis of a kinetic cellular model for tumor-immune system interaction ⋮ From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. ⋮ Critical analysis and perspectives on kinetic (cellular) theory of immune competition

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