The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives

Authors:
N. Bellomo;A. Bellouquid;E. De Angelis
Affiliations:
Department of Mathematics, Politecnico of Torino Corso Duca degli Abruzzi 24, 10129, Torino, Italy;Department of Mathematics, Politecnico of Torino Corso Duca degli Abruzzi 24, 10129, Torino, Italy;Department of Mathematics, Politecnico of Torino Corso Duca degli Abruzzi 24, 10129, Torino, Italy
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2003

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Abstract

The first part of this paper deals with a review of mathematical topics related to the modeling of the immune competition, at the cellular level, by mathematical methods and structures developed by the models and methods of the classical kinetic theory. Special attention is devoted to the competition between tumor and immune cells. The second part develops a critical analysis of the existing literature and proposes some research perspectives with special attention to modeling relatively more general aspects of the immune competition and control therapeutical actions.