On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach

Marcello Delitala

Bollettino dell'Unione Matematica Italiana (2008)

  • Volume: 1, Issue: 3, page 603-618
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Delitala, Marcello. "On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach." Bollettino dell'Unione Matematica Italiana 1.3 (2008): 603-618. <http://eudml.org/doc/290457>.

@article{Delitala2008,
abstract = {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.},
author = {Delitala, Marcello},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {603-618},
publisher = {Unione Matematica Italiana},
title = {On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach},
url = {http://eudml.org/doc/290457},
volume = {1},
year = {2008},
}

TY - JOUR
AU - Delitala, Marcello
TI - On the Mathematical Modelling of Complex Biological Systems. A Kinetic Theory Approach
JO - Bollettino dell'Unione Matematica Italiana
DA - 2008/10//
PB - Unione Matematica Italiana
VL - 1
IS - 3
SP - 603
EP - 618
AB - 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.
LA - eng
UR - http://eudml.org/doc/290457
ER -

References

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