6533b7d4fe1ef96bd1262da8

RESEARCH PRODUCT

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

Najat M Omar Dabnoun

subject

classical Boltzmann equation kinetic theory active particlesSettore MAT/07 - Fisica Matematica

description

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.

http://hdl.handle.net/10447/296007