In various previous papers, mathematical models describing the evolution of a tumor in presence of an immune system response are proposed by using the concept of cellular activity. The activities of the biological systems in competition are described by a functional operator which has been stationary. In this paper, within the kinetic cellular theory, the functional operator which characterizes the biological states of the cells is chosen to depend on the cellular densities and the time. Using this new model, three examples are discussed and the results are compared with other models proposed in literature.
On the local kinetics component of biological systems in competition.
A. Ciancio
Primo
Membro del Collaboration Group
;
2018-01-01
Abstract
In various previous papers, mathematical models describing the evolution of a tumor in presence of an immune system response are proposed by using the concept of cellular activity. The activities of the biological systems in competition are described by a functional operator which has been stationary. In this paper, within the kinetic cellular theory, the functional operator which characterizes the biological states of the cells is chosen to depend on the cellular densities and the time. Using this new model, three examples are discussed and the results are compared with other models proposed in literature.File in questo prodotto:
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