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A Continuous–Time Markov Chain Modeling Cancer–Immune System Interactions Cover

A Continuous–Time Markov Chain Modeling Cancer–Immune System Interactions

Open Access
|Dec 2018

Abstract

In the present paper we propose two mathematical models describing, respectively at the microscopic level and at the mesoscopic level, a system of interacting tumor cells and cells of the immune system. The microscopic model is in terms of a Markov chain defined by the generator, the mesoscopic model is developed in the framework of the kinetic theory of active particles. The main result is to prove the transition from the microscopic to mesoscopic level of description.

Language: English
Page range: 106 - 118
Submitted on: Dec 1, 2017
Accepted on: Feb 5, 2018
Published on: Dec 19, 2018
Published by: Italian Society for Applied and Industrial Mathemathics
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2018 Diletta Burini, Elena De Angelis, Miroslaw Lachowicz, published by Italian Society for Applied and Industrial Mathemathics
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.