This paper deal with the classical Boltzmann Equation generalized to model populations in complex biological system. In particular, the populations refer to the cells of the immune system and to those of an aggressive host (cancer cells) in a human being. We will focus with the study of a spatially homogeneous continuous model, and derivation of the macroscopic model. The paper starts from a simple description of the classical Boltzmann equation and goes to the mathematical approach proposed to model the large systems of interacting entities focusing the competition between immune system and cancer cells.

NAJAT M OMAR DABNOUN (2017). From the Classical Boltzmann Equation to the Generalized Kinetic models of Biological Systems. In M.S. A cura di Maria Stella Mongiovì (a cura di), Bollettino di Matematica pura e applicata Volume IX (pp. 95-118). Roma : Aracne editrice int.le S.r.l..

From the Classical Boltzmann Equation to the Generalized Kinetic models of Biological Systems

NAJAT M OMAR DABNOUN
2017-01-01

Abstract

This paper deal with the classical Boltzmann Equation generalized to model populations in complex biological system. In particular, the populations refer to the cells of the immune system and to those of an aggressive host (cancer cells) in a human being. We will focus with the study of a spatially homogeneous continuous model, and derivation of the macroscopic model. The paper starts from a simple description of the classical Boltzmann equation and goes to the mathematical approach proposed to model the large systems of interacting entities focusing the competition between immune system and cancer cells.
2017
Settore MAT/07 - Fisica Matematica
NAJAT M OMAR DABNOUN (2017). From the Classical Boltzmann Equation to the Generalized Kinetic models of Biological Systems. In M.S. A cura di Maria Stella Mongiovì (a cura di), Bollettino di Matematica pura e applicata Volume IX (pp. 95-118). Roma : Aracne editrice int.le S.r.l..
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/296007
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