Tumor/immune system competition with medically induced activation/deactivation

Citation
B. Firmani et al., Tumor/immune system competition with medically induced activation/deactivation, MATH MOD M, 9(4), 1999, pp. 491-512
Citations number
21
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES
ISSN journal
02182025 → ACNP
Volume
9
Issue
4
Year of publication
1999
Pages
491 - 512
Database
ISI
SICI code
0218-2025(199906)9:4<491:TSCWMI>2.0.ZU;2-9
Abstract
This paper deals with further developments of the kinetic modelling of the cellular dynamics of tumors interacting with an active immune defence syste m in the presence of cytokine signals. The contents is developed in the fra mework of the so-called cellular kinetic theory which leads to a modelling based on methods which are similar to those of nonlinear statistical mechan ics. The model proposed here takes into account spontaneous activation of t umor cells and the effects of medical therapies aimed at deactivating the t umor and/or activating the immune system. The simulation presented shows th at the possible scenarios that can be reproduced by the model are those exp erimentally observed.