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Computing the Threshold of the Influence of Intercellular Nanotubes on Cell-to-Cell Communication Integrity
- Publication Year :
- 2015
-
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.<br />Comment: 6 pages, 4 figures
- Subjects :
- Quantitative Biology - Cell Behavior
Mathematics - Dynamical Systems
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1507.03397
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.chaos.2016.06.001