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arXiv · 1507.03397

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

Dragutin T. Mihailović·Vladimir R. Kostić·Igor Balaž·Darko Kapor
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Abstract

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.

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Dragutin T. Mihailović, Vladimir R. Kostić, Igor Balaž, Darko Kapor. 2015-07-13. Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity. https://doi.org/10.1016/j.chaos.2016.06.001

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