Asymptotic analysis of a nonlinear integro-differential system modeling the immune response

This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the c...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2014-11, Vol.68 (9), p.905-914
Hauptverfasser: Bellouquid, A., CH-Chaoui, M.
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CH-Chaoui, M.
description This paper deals with the qualitative analysis of a nonlinear model of immune response with special attention to the actions applied by cytokine signals to activate the last one, in the framework of the mathematical kinetic theory for active particles. The content focuses on the early stage of the competition before the onset of proliferation. The analysis gives evidence how parameters and initial conditions influence the asymptotic behaviors of solutions.
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source Elsevier ScienceDirect Journals Complete - AutoHoldings; EZB-FREE-00999 freely available EZB journals
subjects Active particles
Asymptotic analysis
Asymptotic properties
Biological system
Competition
Computer simulation
Cytokines
Initial conditions
Initial value problem
Kinetic theory
Mathematical models
Mutations
Nonlinearity
title Asymptotic analysis of a nonlinear integro-differential system modeling the immune response
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