This paper deals with a kinetic modelling of the cellular dynamics of tumors interacting with an active immune defence system. The analysis starts from the model proposed in Refs. 4 and 5 where a kinetic (cellular) theory of the interactions and competition between tumor cells and immune system is developed in a framework similar to the one of nonlinear statistical mechanics. The class of models proposed in this paper replaces the system of integro-differential equations by a system of ordinary differential equations. This has several advantages. Firstly, it allows immediate interpretations of the control parameters and is characterized by a relatively lower computational complexity. Further, some interesting periodicity properties of the solutions are characterized.
Discrete Kinetic Cellular Models of Tumors Immune Systems Interactions / LO SCHIAVO, Mauro. - In: MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES. - ISSN 0218-2025. - STAMPA. - 6 n.8:(1996), pp. 1187-1210. [10.1142/S021820259600050X]
Discrete Kinetic Cellular Models of Tumors Immune Systems Interactions
LO SCHIAVO, Mauro
1996
Abstract
This paper deals with a kinetic modelling of the cellular dynamics of tumors interacting with an active immune defence system. The analysis starts from the model proposed in Refs. 4 and 5 where a kinetic (cellular) theory of the interactions and competition between tumor cells and immune system is developed in a framework similar to the one of nonlinear statistical mechanics. The class of models proposed in this paper replaces the system of integro-differential equations by a system of ordinary differential equations. This has several advantages. Firstly, it allows immediate interpretations of the control parameters and is characterized by a relatively lower computational complexity. Further, some interesting periodicity properties of the solutions are characterized.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.