Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity
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 pseudospectra of the exchange, to find the distance to instability. The threshold of TNTs influence is computed for Newman-Gastner and Erdos-R\'enyi gap junction (GJ) networks.
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