A general framework for modeling tumor-immune system competition at the mesoscopic level

DOI10.1016/J.AML.2012.04.021zbMath1388.92018OpenAlexW2088632177MaRDI QIDQ714540

Mirosław Lachowicz, Andrea Quartarone

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.04.021

zbMATH Keywords

integro-differential equationsdelay differential equationsimmune systemtumormesoscopic models

Mathematics Subject Classification ID

Medical applications (general) (92C50) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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An urn model with random multiple drawing and random addition ⋮ Analysis of an integro-differential system modeling tumor growth ⋮ Longtime behavior of a class of stochastic tumor-immune systems ⋮ DYNAMICAL BEHAVIORS OF A CLASS OF STOCHASTIC TUMOR–IMMUNE SYSTEMS ⋮ Stability of solutions of kinetic equations corresponding to the replicator dynamics ⋮ Modeling DNA thermal denaturation at the mesoscopic level ⋮ Nonlinear microscale interactions in the kinetic theory of active particles

Cites Work

• On a class of integro-differential equations modeling complex systems with nonlinear interactions
• Individually-based Markov processes modeling nonlinear systems in mathematical biology
• Metamodeling tumor-immune system interaction, tumor evasion and immunotherapy
• Delay-induced oscillatory dynamics of tumour-immune system interaction
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• Kinetic equations modelling population dynamics

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