Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity

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 perturbati...

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Published inarXiv.org
Main Authors Mihailović, Dragutin T, Kostić, Vladimir R, Balaž, Igor, Kapor, Darko
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 13.07.2015
Subjects
Communication
Exchanging
Integrity
Mathematics - Dynamical Systems
Nanotubes
Quantitative Biology - Cell Behavior
Stability
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Summary: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 Erdős-Rényi gap junction (GJ) networks.
ISSN:2331-8422
DOI:10.48550/arxiv.1507.03397