Computational and Mathematical Methods in Medicine

Computational and Mathematical Methods in Medicine / 2002 / Article
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Mathematical Modelling and Simulation of Aspects of Cancer Growth

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Volume 4 |Article ID 306701 | https://doi.org/10.1080/10273660290015170

Luisa Arlotti, Andrea Gamba, Miroslaw Lachowicz, "A Kinetic Model of Tumor/Immune System Cellular Interactions", Computational and Mathematical Methods in Medicine, vol. 4, Article ID 306701, 12 pages, 2002. https://doi.org/10.1080/10273660290015170

A Kinetic Model of Tumor/Immune System Cellular Interactions

Received01 Aug 2000
Accepted23 Apr 2001

Abstract

In this paper, a model of cellular tumor dynamics in competition with the immune system is proposed. The characteristic scale of the phenomenon is the cellular one and the model is developed with probabilistic methods analogous to those of the kinetic theory. The interacting individuals are the cells of the populations involved in the competition between the tumor and the immune system. Interactions can change the activation state of the tumor and cause tumor proliferation or destruction. The model is expressed in terms of a bi-linear system of integro-differential equations. Some preliminary mathematical analysis of the model as well as computational simulations are presented.

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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