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A Thermostatted Kinetic Framework with Particle Refuge for the Modeling of Tumors Hiding |
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PP: 469-473 |
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Author(s) |
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Carlo Bianca,
Christian Dogbe,
Luca Guerrini,
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Abstract |
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| Recently, thermostatted kinetic models have been proposed for the modeling of complex systems subjected to external force
fields. This paper deals with the derivation of a generalized thermostatted kinetic framework, which incorporates particles refuge. From
the qualitative viewpoint, the global in time existence and uniqueness of the solution to the relative Cauchy problem, the time evolution
of the moments of the solution, and the existence of stationary solutions are discussed. Applications refer to biological systems and
especially to tumor-escape from immune system surveillance, indeed within this framework an mathematical model for the tumorimmune
system competition is derived. Further research directions are outlined in the last section of the paper. |
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