Biomedical subjects

E P Zemskov

Publications and source records attributed to E P Zemskov.

3 recordsLinked to original sources

PubMed2006

Wavy front dynamics in a three-component reaction-diffusion system with one activator and two inhibitors.

An analytic description for traveling waves in a one-dimensional reaction-diffusion system with one activator and two inhibitors and with equal diffusion constants is developed using a piecewise linear approximation for the nonlinear activator reaction term. The case of front waves is examined in more detail, the monotonic and oscillating fronts being separately considered. The corresponding wave profiles are constructed, and the speed equation is obtained and discussed. It is found that the fronts in the three-component model propagate faster than the fronts in the two-component system. The front interaction is studied using numerical calculations. The results show that at head-on collisions two oscillating fronts produce a wavy domain, which spreads in space with time.

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PubMed2004

Stabilization of reaction-diffusion pulses by external forcing.

A pulse velocity equation under forcing is derived and the conditions for stationary waves (pinning conditions) are considered. It is found that there are two types of stationary pulses with symmetric and asymmetric parameter sets in the phase-amplitude diagram. The pulses with a symmetric set are always unstable, whereas the pulses with an asymmetric set may be stable. The stability criteria are presented.

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PubMed2004

Front bifurcation in a tristable reaction-diffusion system under periodic forcing.

A piecewise linear tristable reaction-diffusion equation under external forcing of periodic type is considered. A special feature of the forcing is that the force moves together with the traveling wave. Front velocity equations are obtained analytically using matching procedures for the front solutions. It is noted that there is a restriction in building of null-cline. For each choice of outer branches of null-cline the middle interfacial zone should not exceed some critical value. When this zone is larger the front does not exist. It is found that in the presence of forcing there exists a set of front solutions with different phases (matching point coordinates). The periodic forcing produces a change in the velocity-versus-phase diagram. For a specific choice of wave number, there is a bubble formation which corresponds to additional solutions when the velocity bifurcates to form three fronts.

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