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A Continuous–Time Markov Chain Modeling Cancer–Immune System Interactions

Communications in Applied and Industrial Mathematics's Cover Image
Communications in Applied and Industrial Mathematics
Special Issue on Mathematical modelling for complex systems: multi-agents methods. Guest Editor: Elena De Angelis
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In the present paper we propose two mathematical models describing, respectively at the microscopic level and at the mesoscopic level, a system of interacting tumor cells and cells of the immune system. The microscopic model is in terms of a Markov chain defined by the generator, the mesoscopic model is developed in the framework of the kinetic theory of active particles. The main result is to prove the transition from the microscopic to mesoscopic level of description.

eISSN:
2038-0909
Lingua:
Inglese
Frequenza di pubblicazione:
Volume Open
Argomenti della rivista:
Mathematics, Numerical and Computational Mathematics, Applied Mathematics