A mathematical model of immune competition related to cancer dynamics

DOI10.1002/mma.1190zbMath1185.35295OpenAlexW2070538795MaRDI QIDQ3553735

I. Brazzoli, Pierre-Emmanuel Jabin, Elena De Angelis

Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1002/mma.1190

zbMATH Keywords

travelling wavesCauchy problemcomplex systemsbiological systemstumor dormancykinetic theory for active particlescell populationtumor-immune competition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Cell biology (92C37) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (4)

Hyperbolic and kinetic models for self-organized biological aggregations and movement: a brief review ⋮ Modeling anti-tumor Th1 and Th2 immunity in the rejection of melanoma ⋮ A contribution to the mathematical modeling of immune-cancer competition ⋮ A cancer model for the angiogenic switch

Cites Work

• On the kinetic theory for active particles: a model for tumor-immune system competition
• QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION
• ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
• Mathematical modelling of the spatio-temporal response of cytotoxic T-lymphocytes to a solid tumour
• Mathematical models of therapeutical actions related to tumour and immune system competition

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