6533b837fe1ef96bd12a203e

RESEARCH PRODUCT

A contribution to the mathematical modeling of immune-cancer competition

Maria Stella MongiovìNajat M. Omar Dabnoun

subject

T57-57.97Applied mathematics. Quantitative methodsApplied MathematicsCancer010103 numerical & computational mathematicsmedicine.disease01 natural sciencesIndustrial and Manufacturing EngineeringKinetic Theoryactive particlesevolution010101 applied mathematicsCompetition (economics)Immune systemmedicineCancer researchEconomics0101 mathematicsSettore MAT/07 - Fisica Matematica

description

Abstract This paper deals with the modeling of interactions between the immune system and cancer cells, in the framework of the mathematical kinetic theory for active particles. The work deepens a previous paper of Belloquid et al. that assumes spatial homogeneity and discrete values of the activity of cancer and immune cells. A number of simulations are made with the aim to investigate how the state of the various cell populations evolves in time depending on the choice of the free parameters.

10.2478/caim-2018-0012http://hdl.handle.net/10447/336032