Numerical modelling of the competition between the adaptive immune system and virus

• Autorzy: Kolev M.
• Języki publikacji: EN

Abstrakty

EN

We present and analyze numerically a mathematical model of interactions between adaptive immune system and viral infection. The model is a bilinear system of partial integro-differential equations of Boltzmann type. It is a generalization of the recently proposed kinetic models that consider particular (namely, the cellmediated and the humoral) immune mechanisms used in the fight against viral infections. We use Matlab to solve complicated system of equations, present the results of computer simulations and explain their immunological meaning. The results show that the model can describe in a better way (in comparison with the previous kinetic models) real biological situations and is able to illustrate various methods of therapy.

Słowa kluczowe

EN

numerical modelling; kinetic theory; active particles; integro-differential equations of Boltzmann type; nonlinear dynamics; virus; adaptive immune system

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 3
• Strony: 763--778
• Opis fizyczny: Bibliogr. 37 poz., wykr.

Twórcy

autor

Kolev M.

• Faculty of Mathematics and Computer Science, University of Warmia and Mazury Słoneczna 54, 10-710 Olsztyn, Poland,

Bibliografia

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