Papers by Mikhail Tsyganov
Physics-uspekhi, 2007
Research on spatially extended excitable systems with cross-diffusion components is reviewed. Par... more Research on spatially extended excitable systems with cross-diffusion components is reviewed. Particular attention is given to the new phenomena of the quasi-soliton and half-soliton interaction of excitation waves, which are specific to such systems and occur along with the standard nonsoliton wave interaction that causes the waves to mutually annihilate. A correlation is shown to exist between interaction regimes and
Biological Invasions, 2005
Whilst the most obvious mechanism for a biological invasion is the occupation of a new territory ... more Whilst the most obvious mechanism for a biological invasion is the occupation of a new territory as a result of direct ingress by individuals of the invading population, a more subtle “invasion” may occur without significant motion of invading individuals if the population dynamics in a predator prey scenario has an “excitable” character. Here, “excitable” means that a local equilibrium
The time of formation and rate of bacterial population waves as a function of substrate concentra... more The time of formation and rate of bacterial population waves as a function of substrate concentration has been investigated. It was shown both theoretically and in experiment that the time of wave formation increases with substrate concentration. At the same time, the rate of wave propagation decreases at relatively high substrate concentrations. A comparative analysis of the dynamics of bacterial population waves in different chemotaxis responses was carried out in in silico experiments with the Keller-Segel model.
A study was made of the time of formation and the rate of propagation of bacterial population wav... more A study was made of the time of formation and the rate of propagation of bacterial population waves as dependent on substrate concentration. Experimentally and theoretically it is shown that the time of bacterial wave formation grows with increasing concentration of the nutritive component. At the same time, the wave propagation rate drops at relatively high concentrations of the nutritive
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Papers by Mikhail Tsyganov