Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 388, Issue 8, Pages 1521-1526Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2008.12.024
Keywords
Cell connectivity; F-actin; Mechanics; Model; Simulation
Categories
Funding
- National Institutes of Health [HL 059215, HL 065960, HL 084224]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo [2007/08165-8]
- Coordenacao de Aperfeicoamento de Pessoal de Nivel Superior [BEX0659/02-9]
- Department of Pathology at the School of Medicine of the University of Sao Paulo
- Laboratorios de Investigacao Medica [LIM01, LIM05, HC-FMUSP]
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Cell shape, signaling, and integrity depend on cytoskeletal organization. In this study we describe the cytoskeleton as a simple network of filamentary proteins (links) anchored by complex protein structures (nodes). The structure of this network is regulated by a distance-dependent probability of link formation as P = p/d(s), where p regulates the network density and s controls how fast the probability for link formation decays with node distance (d). It was previously shown that the regulation of the link lengths is crucial for the mechanical behavior of the cells. Here we examined the ability of the two-dimensional network to percolate (i.e. to have end-to-end connectivity), and found that the percolation threshold depends strongly on s. The system undergoes a transition around s = 2. The percolation threshold of networks with s < 2 decreases with increasing system size L, while the percolation threshold for networks with s > 2 converges to a finite value. We speculate that s < 2 may represent a condition in which cells can accommodate deformation while still preserving their mechanical integrity. Additionally, we measured the length distribution of F-actin filaments from publicly available images of a variety of cell types. In agreement with model predictions, cells originating from more deformable tissues show longer F-actin cytoskeletal filaments. (C) 2008 Elsevier B.V. All rights reserved.
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