On a kinetic (cellular) theory for competition between tumors and the host immune system

This paper deals with a kinetic modelling of the cellular dynamics of tumors interacting with an active immune defence system. The analysis starts from a detailed modelling of the cellular interactions and follows with the derivation of evolution equations in a framework similar to the one of nonlinear statistical mechanics. A discussion about the qualitative properties of the model and on the possibility of its application in immunology is proposed in the last part of the paper.