Biomedical subjects

A Zaikin

Publications and source records attributed to A Zaikin.

6 recordsLinked to original sources

PubMed2003

Noise-induced excitability in oscillatory media.

A noise-induced phase transition to excitability is reported in oscillatory media with FitzHugh-Nagumo dynamics. This transition takes place via a noise-induced stabilization of a deterministically unstable fixed point of the local dynamics, while the overall phase-space structure of the system is maintained. Spatial coupling is required to prevent oscillations through suppression of fluctuations (via clustering in the case of local coupling). Thus, the joint action of coupling and noise leads to a different type of phase transition and results in a stabilization of the system. The resulting regime is shown to display characteristic traits of excitable media, such as stochastic resonance and wave propagation. This effect thus allows the transmission of signals through an otherwise globally oscillating medium.

Models, Biological↗

PubMed2003

Experimental evidence, numerics, and theory of vibrational resonance in bistable systems.

We consider an overdamped bistable oscillator subject to the action of a biharmonic force with very different frequencies, and study the response of the system when the parameters of the high-frequency force are varied. A resonantlike behavior is obtained when the amplitude or the frequency of this force is modified in an experiment performed by means of an analog circuit. This behavior, confirmed by numerical simulations, is explained on the basis of a theoretical approach.

Journal Article↗

PubMed2003

Doubly stochastic coherence via noise-induced symmetry in bistable neural models.

The generation of coherent dynamics due to noise in an activator-inhibitor system describing bistable neural dynamics is investigated. We show that coherence can be induced in deterministically asymmetric regimes via symmetry restoration by multiplicative noise, together with the action of additive noise which induces jumps between the two stable steady states. The phenomenon is thus doubly stochastic, because both noise sources are necessary. This effect can be understood analytically in the frame of a small-noise expansion and is confirmed experimentally in a nonlinear electronic circuit. Finally, we show that spatial coupling enhances this coherent behavior in a form of system-size coherence resonance.

Membrane Potentials↗

PubMed2002

System size resonance in coupled noisy systems and in the Ising model.

We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate depending on the ensemble size. When a small periodic force acts on the ensemble, the linear response of the system has a maximum at a certain system size, similar to the stochastic resonance phenomenon. We demonstrate this effect of system size resonance for different types of noisy oscillators and for different ensembles---lattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.

Journal Article↗

PubMed2002

Bone modeling and structural measures of complexity.

We test sensitivity and powerfulness of recently suggested Structure Measures of Complexity (SMC) with simulated test objects, represented by simple structures or modelled on the basis of a real bone image. We check how these SMC reflect the local and global disordering processes, as well as a deterioration of the bone structure. We show that applications of SMC provide additional information about any changes of the bone structure in comparison to bone mineral density (BMD), and that they can be potentially helpful in the diagnosis of osteoporosis.

Journal Article↗

PubMed1999

An active-medium model of organic substance transformation in soil and its dynamic properties.

An analysis of the behaviour of the soil system considered as an active medium with distributed energy sources was undertaken. This approach enabled the authors to build a heuristic model of soil which accounts for processes of organic substance production, migration and utilisation. The soil body is presented as a spatially distributed trophic chain with non-linear interactions of adjacent links. The level of this non-linearity appears to be the key parameter determining the dynamic behaviour of the model system in one-, two- and three-dimensional cases. The conditions for the existence of pulse-generating and autowave modes in this system were determined by computer simulations. Of particular interest is the behaviour of damaged soil, especially its self-regeneration potential. Inoculation autowave was proven to restore the initial state of the soil if two adjacent or separated trophic links fall out. Possible ways of the further development of the proposed model are also discussed.

Models, Biological↗