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QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION

Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

and

École Normale Supérieure, Département de Mathématiques et Applications, CNRS UMR 8553, 45 rue d'Ulm, 75230 Paris Cedex 05, France

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https://doi.org/10.1142/S0218202503002453Cited by:39 (Source: Crossref)

Abstract

This paper deals with the qualitative analysis of a model related to the immune response to the evolution of the progression of endothelial cells which have lost their differentiation and start their evolution toward methastatic states. We prove the existence of solutions to the Cauchy problem related to the model. The asymptotic behavior in time of our solutions is also investigated.

Keywords:

AMSC: 92D25, 82C40, 42K05

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