Computing the threshold of the influence of intercellular nanotubes on cell-to-cell communication integrity
| Autor: | Vladimir Kostić, Igor Balaž, Darko Kapor, Dragutin T. Mihailović |
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| Rok vydání: | 2016 |
| Předmět: |
0301 basic medicine
Pseudospectrum Physics Focus (computing) General Mathematics Applied Mathematics General Physics and Astronomy Statistical and Nonlinear Physics Nanotechnology Dynamical Systems (math.DS) 010103 numerical & computational mathematics 01 natural sciences Quantitative Biology::Cell Behavior 03 medical and health sciences Multicellular organism 030104 developmental biology Cell to cell communication FOS: Biological sciences Functional stability Cell Behavior (q-bio.CB) FOS: Mathematics Quantitative Biology - Cell Behavior Mathematics - Dynamical Systems 0101 mathematics |
| Zdroj: | Chaos, Solitons & Fractals. 91:174-179 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2016.06.001 |
| Popis: | We examine the threshold of the influence of the tunneling nanotubes (TNTs) on the cell-to-cell communication integrity. A deterministic model is introduced with the Michaelis-Menten dynamics and the intercellular exchange of substance. The influence of TNTs are considered as a functional perturbation of the main communication and treated as the matrix nearness problems. We analyze communication integrity in terms of the \emph{pseudospectra} of the exchange, to find the \emph{distance to instability}. The threshold of TNTs influence is computed for Newman-Gastner and Erd\H{o}s-R\'enyi gap junction (GJ) networks. Comment: 6 pages, 4 figures |
| Databáze: | OpenAIRE |
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