MODELLING OF THE IMMUNE RESPONSE: CONCEPTUAL FRAMEWORKS AND APPLICATIONS

Author:

DE ANGELIS E.1,MESIN L.1

Affiliation:

1. Department of Mathematics, Politecnico of Torino, Corso Duca degli Abruzzi 24, Torino, Italy

Abstract

This paper deals with the modelling of the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. The aim of this paper is to design a general mathematical framework toward modelling the so-called kinetic cellular theory. Some specific models are proposed within the above framework and suitable simulations are developed with special attention to bifurcation analysis.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

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