Search Results - "Postnov, D. E"
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Astrocyte calcium signaling: Interplay between structural and dynamical patterns
Published in Chaos (Woodbury, N.Y.) (01-10-2018)“…Inspired by calcium activity in astrocytes, which is different in the cell body and thick branches on the one hand and thin branchlets and leaflets on the…”
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Dynamical patterns of calcium signaling in a functional model of neuron-astrocyte networks
Published in Journal of biological physics (01-10-2009)“…We propose a functional mathematical model for neuron-astrocyte networks. The model incorporates elements of the tripartite synapse and the spatial branching…”
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Self-terminating wave patterns and self-organized pacemakers in a phenomenological model of spreading depression
Published in Brain research (24-01-2012)“…Abstract A simple reaction–diffusion model of spreading depression (SD) is presented. Its local dynamics are governed by two activator and two inhibitor…”
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Interacting Coherence Resonance Oscillators
Published in Physical review letters (30-08-1999)Get full text
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Noise-sustained patterns in a model of volume-coupled neural tissue
Published in Chaos (Woodbury, N.Y.) (01-10-2018)“…Computational neuroscience operates on models based on several important paradigms. Among them is the assumption that coupling in neural ensembles is provided…”
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Giant Glial Cell: New Insight Through Mechanism-Based Modeling
Published in Journal of biological physics (01-08-2008)“…The paper describes a detailed mechanism-based model of a tripartite synapse consisting of P- and R-neurons together with a giant glial cell in the ganglia of…”
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Lymphatic Drainage System of the Brain: a New Player in Neuroscience
Published in Journal of evolutionary biochemistry and physiology (2023)“…The lymphatic system not only plays an important role as a drainage eliminating metabolic wastes and toxins from tissues, but also represents an arena for the…”
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Chaotic bursting as chaotic itinerancy in coupled neural oscillators
Published in Chaos (Woodbury, N.Y.) (01-09-2003)“…We show that chaotic bursting activity observed in coupled neural oscillators is a kind of chaotic itinerancy. In neuronal systems with phase deformation along…”
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Functional modeling of neural–glial interaction
Published in BioSystems (01-05-2007)“…We propose a generalized mathematical model for a small neural–glial ensemble. The model incorporates subunits of the tripartite synapse that includes a…”
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The evolution of spatiotemporal chaos in a discrete-continuous active medium
Published in Technical physics letters (01-06-2017)“…A special approach to calculation of the spectrum of Lyapunov exponents has been developed and applied to diagnostics of the degree of regularity of wave…”
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Dynamics of Nephron-Vascular Network
Published in Bulletin of mathematical biology (01-12-2012)“…The paper presents a modeling study of the spatial dynamics of a nephro-vascular network consisting of individual nephrons connected via a tree-like vascular…”
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Conducted Vasoreactivity: the Dynamical Point of View
Published in Bulletin of mathematical biology (01-01-2015)“…Conducted vasodilation is part of the physiological response to increasing metabolic demand of the tissue. Similar responses can be elicited by focal…”
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Coherence resonance versus synchronization in a periodically forced self-sustained system
Published in Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics (01-04-2002)“…A fundamental relationship between coherence resonance (CR) and phase synchronization in a self-sustained system in the presence of noise is addressed. A Van…”
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Monitoring of rhythms in laser speckle data
Published in Journal of innovative optical health science (01-05-2014)“…While the laser speckle imaging (LSI) is a powerful tool for multiple biomedical applications, such as monitoring of the blood flow, in many cases it can…”
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Homoclinic Bifurcation as a Mechanism of Chaotic Phase Synchronization
Published in Physical review letters (06-09-1999)Get full text
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16
Multimode dynamics in a network with resource mediated coupling
Published in Chaos (Woodbury, N.Y.) (01-03-2008)“…The purpose of this paper is to study the special forms of multimode dynamics that one can observe in systems with resource-mediated coupling, i.e., systems of…”
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Functional Modeling of the Shift in Cellular Calcium Dynamics at the Onset of Synchronization in Smooth Muscle Cells
Published in Bulletin of mathematical biology (01-10-2011)“…In the present paper we address the nature of synchronization properties found in populations of mesenteric artery smooth muscle cells. We present a minimal…”
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Phase Multistability in Coupled Oscillator Systems
Published in Progress of theoretical physics. Supplement (01-01-2003)“…The phenomenon of phase multistability arises in connection with the synchronization of coupled oscillator systems when the systems individually display…”
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Two-mode chaos and its synchronization properties
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-11-2005)“…Using a simple model with bimodal dynamics, we investigate the intra- and inter-system entrainment of the two different time scales involved in the chaotic…”
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Dynamical structures in binary media of potassium-driven neurons
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (01-09-2009)“…According to the conventional approach neural ensembles are modeled with fixed ionic concentrations in the extracellular environment. However, in some cases…”
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