Periodic dynamics in a model of immune system

• Autorzy: Marek Bodnar , Urszula Foryś
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper is to study periodic solutions of Marchuk's model, i.e. the system of ordinary differential equations with time delay describing the immune reactions. The Hopf bifurcation theorem is used to show the existence of a periodic solution for some values of the delay. Periodic dynamics caused by periodic immune reactivity or periodic initial data functions are compared. Autocorrelation functions are used to check the periodicity or quasiperiodicity of behaviour.

Słowa kluczowe

EN

autocorrelation function; antibody; antigen; immune system organ-target; Hopf bifurcation; plasma cell; periodicity

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2000
• Tom: 27
• Numer: 1
• Strony: 113-126

Daty

wydano

2000

otrzymano

1999-12-08

Twórcy

autor

Marek Bodnar

autor

Urszula Foryś

• Institute of Applied Mathematics and Mechanics, Department of Mathematics, Computer Sciences and Mechanics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Bibliografia

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