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 \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.

6 pages, 4 figures

References in corpus (3)

• Synchronization in complex networks
• The spatial structure of networks
• Complexity and asymptotic stability in the process of biochemical substance exchange in a coupled ring of cells