This paper deals with a critical analysis and some developments related to the mathema- tical literature on multiscale modelling of multicellular systems involving tumor immune cells competition at the cellular level. The analysis is focused on the development of mathematical methods of the classical kinetic theory to model the above physical sys- tem and to recover macroscopic equation from the microscopic description. Various hints are given toward research perspectives, with special attention on the modelling of the interplay of microscopic (at the cellular level) biological and mechanical variables on the overall evolution of the system. Indeed the nal aim of this paper consists of organizing the various contributions available in the literature into a mathematical framework suitable to generate a mathematical theory for complex biological systems.
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition / BELLOMO N; BELLOUQUID A; DELITALA M.E.. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - 14:11(2004), pp. 1683-1733. [10.1142/S0218202504003799]
|Titolo:||Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition|
|Data di pubblicazione:||2004|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1142/S0218202504003799|
|Appare nelle tipologie:||1.1 Articolo in rivista|