Search Results - "Vasiev, B"
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A mathematical framework for the statistical interpretation of biological growth models
Published in BioSystems (01-12-2024)“…Biological entities are inherently dynamic. As such, various ecological disciplines use mathematical models to describe temporal evolution. Typically, growth…”
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2
On noise modeling in a nerve fibre
Published in Applied mathematics letters (01-01-2013)“…We present a novel mathematical approach to model noise in dynamical systems. We do so by considering the dynamics of a chain of diffusively coupled Nagumo…”
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3
Modelling of Dictyostelium discoideum slug migration
Published in Journal of theoretical biology (07-08-2003)“…The development of most multicellular organisms involves differential movement of cells resulting in the formation of tissues. The principles governing these…”
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4
Becoming Multicellular by Aggregation; The Morphogenesis of the Social Amoebae Dicyostelium discoideum
Published in Journal of biological physics (01-12-2002)“…The organisation and form of most organisms is generated during theirembryonic development and involves precise spatial and temporal controlof cell division,…”
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5
An individual based model of rippling movement in a myxobacteria population
Published in Journal of theoretical biology (07-06-2005)“…Migrating cells of Myxococcus xanthus (MX) in the early stages of starvation-induced development exhibit elaborate patterns of propagating waves. These…”
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Simulation of dictyostelium discoideum aggregation via reaction-diffusion model
Published in Physical review letters (05-12-1994)Get full text
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7
Super-spiral structures in an excitable medium
Published in Nature (London) (24-10-1991)“…Under certain conditions, the rotating spiral wave does not exhibit simple periodic rotation, but quasiperiodic rotation, in which the spiral's origin (the…”
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A statistical interpretation of biologically inspired growth models
Published 16-02-2023“…Biological entities are inherently dynamic. As such, various ecological disciplines use mathematical models to describe temporal evolution. Typically, growth…”
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9
Temperature expressions and ergodicity of the Nos\'e-Hoover deterministic schemes
Published 25-09-2019“…Thermostats are dynamic equations used to model thermodynamic variables in molecular dynamics. The applicability of thermostats is based on the ergodic…”
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10
Dynamic principle for ensemble control tools
Published 15-10-2017“…Dynamical equations describing physical systems at statistical equilibrium are commonly extended by mathematical tools called "thermostats". These tools are…”
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11
The control of chemotactic cell movement during Dictyostelium morphogenesis
Published in Philosophical transactions of the Royal Society of London. Series B. Biological sciences (29-07-2000)“…Dictyostelium discoideum…”
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Multiarmed Spirals in Excitable Media
Published in Physical review letters (24-03-1997)Get full text
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A model for dictyostelium slug movement
Published in Journal of theoretical biology (21-07-1999)“…Dictyostelium slug movement results from the coordinated movement of its 10(5)constituent cells. We have shown experimentally that cells in the tip of the slug…”
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Modeling Chemotactic Cell Sorting during Dictyostelium discoideum Mound Formation
Published in Biophysical journal (01-02-1999)“…Coordinated cell movement is a major mechanism of the multicellular development of most organisms. The multicellular morphogenesis of the slime mould…”
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15
A Hydrodynamic model for Dictyostelium discoideum Mound Formation
Published in Journal of theoretical biology (21-02-1997)“…Coordinated cell movement is the major mechanism controlling the multicellular morphogenesis of the slime mould Dictyostelium discoideum. Single cells…”
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16
A Model for Cell Movement During Dictyostelium Mound Formation
Published in Journal of theoretical biology (07-11-1997)“…Dictyostelium development is based on cell-cell communication by propagating cAMP signals and cell movement in response to these signals. In this paper we…”
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17
Propagating waves control Dictyostelium discoideum morphogenesis
Published in Biophysical chemistry (05-05-1998)“…The morphogenesis of Dictyostelium results from the coordinated movement of starving cells to form a multicellular aggregate (mound) which transforms into a…”
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18
Classification of patterns in excitable systems with lateral inhibition
Published in Physics letters. A (22-03-2004)“…Propagating waves and stationary spots are widely known solutions for reaction-diffusion systems. Other kinds of patterns, such as pulsating waves and…”
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19
On the noise modelling in a nerve fiber
Published 12-05-2011“…We present a novel mathematical approach to model noise in dynamical systems. We do so by considering dynamics of a chain of diffusively coupled Nagumo cells…”
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20
Refractory properties of cardiac tissue at fast sodium current decrease. Comparison of atrium and ventricle
Published in Biofizika (01-09-1982)“…Investigation of the membrane potential of Neurospora crassa mycelial cells was carried out by standard microelectrode technique. The resting potential is…”
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