Article

Numerical study of the stability of some autowave solutions in a mathematical model of blood clotting

I. A. KurilenkoMoscow Physicotechnical Institute, Dolgoprudnyi, Moscow Region, 141700, RussiaA. I. LobanovMoscow Physicotechnical Institute, Dolgoprudnyi, Moscow Region, 141700, RussiaA. V. UkrainetsMoscow Physicotechnical Institute, Dolgoprudnyi, Moscow Region, 141700, Russia

BIOPHYSICSjournal2009en

ABI

Abstract

The stability of some types of solutions of a system of equations in a mathematical model of blood coagulation has been considered. The numerical methods of solving the perturbation problems and the apparatus of adjoint equations were used. The conclusion was made that spiral waves are stable in the system under consideration, and traveling pulses at parameters corresponding to the chaotic regime in the punctual problem are unstable.

Topics

Nonlinear Dynamics and Pattern Formation Stability and Controllability of Differential Equations Differential Equations and Numerical Methods

Identifiers

DOI: 10.1134/s0006350909010096

Citations and references

Cited by 09 references

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