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

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    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.
    Lingua originaleEnglish
    Titolo della pubblicazione ospiteBollettino di Matematica pura e applicata Volume IX
    Pagine95-118
    Numero di pagine24
    Stato di pubblicazionePublished - 2017

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