This paper deals with the mathematical modelling, based on the kinetic theory of active particles, of a complex biological living system constituted by different populations of cells. The modelling refers to the competition between immune and tumor cells. Moreover, a qualitative and quantitative analysis is developed, to show how the models can describe several interesting phenomena related to biological applications. A final section highlights further research perspectives related to the modelling of genetic mutations.
@article{BUMI_2008_9_1_3_603_0,
author = {Marcello Delitala},
title = {On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {1},
year = {2008},
pages = {603-618},
zbl = {1188.92002},
mrnumber = {2455334},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2008_9_1_3_603_0}
}
Delitala, Marcello. On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach. Bollettino dell'Unione Matematica Italiana, Tome 1 (2008) pp. 603-618. http://gdmltest.u-ga.fr/item/BUMI_2008_9_1_3_603_0/
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