Biomedical subjects

V B Kazantsev

Publications and source records attributed to V B Kazantsev.

5 recordsLinked to original sources

PubMed2003

Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice.

The dynamics of a one-dimensional lattice (chain) of electrically coupled neurons modeled by the FitzHugh-Nagumo excitable system with modified nonlinearity is investigated. We have found that for certain conditions the lattice exhibits a countable set of pulselike wave solutions. The analysis of homoclinic and heteroclinic bifurcations is given. Corresponding bifurcation sets have the shapes of spirals twisting to the same center. The appearance of chaotic spiking patterns emerging from wave instabilities is discussed.

Journal Article↗

PubMed2001

Selective communication and information processing by excitable systems.

The phenomena of selective response of an excitable system to external pulse stimulation relating to interneuron communication and information processing problems are discussed. Subthreshold dynamics of the FitzHugh-Nagumo-like excitable system modeling of a neuron with the synaptic input is investigated. It is shown that the system response on various incoming information messages can be described by one- and two-dimensional linear and nonlinear point maps. Nonlinear integrating and resonant properties of the system are analyzed.

Journal Article↗

PubMed2001

Theoretical and experimental study of two discrete coupled Nagumo chains.

We analyze front wave (kink and antikink) propagation and pattern formation in a system composed of two coupled discrete Nagumo chains using analytical and numerical methods. In the case of homogeneous interaction among the chains, we show the possibility of the effective control on wave propagation. In addition, physical experiments on electrical chains confirm all theoretical behaviors.

Journal Article↗

PubMed2000

Synchronization, re-entry, and failure of spiral waves in a two-layer discrete excitable system.

A three-dimensional structure composed of two coupled discrete excitable lattices is considered. Each lattice (layer) is a discrete excitable subsystem and using a local model of excitation transfer and failure we have estimated the sufficient conditions for it to exhibit spiral waves. Then we show how interlayer synchronization of all motions is possible. Various effects of spiral wave synchronization, re-entry and failure are also investigated.

Journal Article↗

PubMed1997

The emergence of form by replication.

It is shown with a simple mathematical model that if a system exhibits a given form (a spatial structure) and is put in contact with another system of the same type but in a state of spatial disorder, then under certain conditions their mutual interaction as they evolve in time allows replication of form in the disordered system with a controllable degree of faithfulness.

Biological Evolution↗