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  • Our analysis is based on the assumption that the metabolic and signal pathways substantiate non-linear dynamic processes which are responsible for asymptotic stability of biological systems. Observed events, not pathways themselves, are the elementary asymptotically stable objects to be studied. This assumption is theoretically supported by observed structures in a relatively simple pseudo-chemical agent-based model. The state space is given by coefficients of Renyi information entropy. Each combination of Renyi coefficients gives us one subtraction of the whole trajectory. The single cell trajectory should be divided into several clusters, once the trajectory is constructed. Each cluster of the trajectory represents an event or subset of the states of the cell. Size and position of clusters depends on the trajectory and on number of clusters. We propose a recipe, using the rules of the generalized stochastic system theory, how to extract individual trajectories of the multifractal system the biological stochastic attractor. This set of trajectories is then utilized for thermodynamic representation of the biological chaotic attractor. Our analysis is strictly based on experiment with all its practical limits. We present implementation of analysis of development of cell monolayer observed by microphotography
  • Our analysis is based on the assumption that the metabolic and signal pathways substantiate non-linear dynamic processes which are responsible for asymptotic stability of biological systems. Observed events, not pathways themselves, are the elementary asymptotically stable objects to be studied. This assumption is theoretically supported by observed structures in a relatively simple pseudo-chemical agent-based model. The state space is given by coefficients of Renyi information entropy. Each combination of Renyi coefficients gives us one subtraction of the whole trajectory. The single cell trajectory should be divided into several clusters, once the trajectory is constructed. Each cluster of the trajectory represents an event or subset of the states of the cell. Size and position of clusters depends on the trajectory and on number of clusters. We propose a recipe, using the rules of the generalized stochastic system theory, how to extract individual trajectories of the multifractal system the biological stochastic attractor. This set of trajectories is then utilized for thermodynamic representation of the biological chaotic attractor. Our analysis is strictly based on experiment with all its practical limits. We present implementation of analysis of development of cell monolayer observed by microphotography (en)
Title
  • Entropy Based Approximation to Cell Monolayer Development
  • Entropy Based Approximation to Cell Monolayer Development (en)
skos:prefLabel
  • Entropy Based Approximation to Cell Monolayer Development
  • Entropy Based Approximation to Cell Monolayer Development (en)
skos:notation
  • RIV/60076658:12520/12:43884036!RIV13-MSM-12520___
http://linked.open...avai/riv/aktivita
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  • I
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  • 134498
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  • RIV/60076658:12520/12:43884036
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  • state space; Renyi entropy; information entropy; state trajectory; Cell state (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [B336724FFDEA]
http://linked.open...v/mistoKonaniAkce
  • Budapest, HUNGARY
http://linked.open...i/riv/mistoVydani
  • New York
http://linked.open...i/riv/nazevZdroje
  • 5TH EUROPEAN CONFERENCE OF THE INTERNATIONAL FEDERATION FOR MEDICAL AND BIOLOGICAL ENGINEERING, PTS 1 AND 2
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Císař, Petr
  • Náhlík, Tomáš
  • Urban, Jan
  • Štys, Dalibor
http://linked.open...vavai/riv/typAkce
http://linked.open...ain/vavai/riv/wos
  • 000310938200146
http://linked.open.../riv/zahajeniAkce
issn
  • 1680-0737
number of pages
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  • Springer New York
https://schema.org/isbn
  • 978-3-642-23507-8
http://localhost/t...ganizacniJednotka
  • 12520
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