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

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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.
    Original languageEnglish
    Title of host publicationBollettino di Matematica pura e applicata Volume IX
    Pages95-118
    Number of pages24
    Publication statusPublished - 2017

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