IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v388y2009i8p1521-1526.html
   My bibliography  Save this article

Percolation in a network with long-range connections: Implications for cytoskeletal structure and function

Author

Listed:
  • Silveira, Paulo S.P.
  • Alencar, Adriano M.
  • Majumdar, Arnab
  • Lemos, Miriam
  • Fredberg, Jeffrey J.
  • Suki, Béla

Abstract

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/ds, 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.

Suggested Citation

  • Silveira, Paulo S.P. & Alencar, Adriano M. & Majumdar, Arnab & Lemos, Miriam & Fredberg, Jeffrey J. & Suki, Béla, 2009. "Percolation in a network with long-range connections: Implications for cytoskeletal structure and function," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1521-1526.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1521-1526
    DOI: 10.1016/j.physa.2008.12.024
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108010431
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2008.12.024?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Furuta, Tadaomi & Ebina, Kuniyoshi, 2002. "A lattice model for cytoskeletons’ dynamics: analysis of growth and shrinkage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 314(1), pages 162-169.
    2. Safran, S.A. & Gov, N. & Nicolas, A. & Schwarz, U.S. & Tlusty, T., 2005. "Physics of cell elasticity, shape and adhesion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(1), pages 171-201.
    3. Moukarzel, Cristian F., 2006. "Percolation in networks with long-range connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(2), pages 340-345.
    4. Rego, Henio H.A & Lucena, Liacir S & da Silva, Luciano R & Tsallis, Constantino, 1999. "Crossover from extensive to nonextensive behavior driven by long-range d=1 bond percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 42-48.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. M. Kroon, 2011. "Optimal length of smooth muscle assessed by a microstructurally and statistically based constitutive model," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 14(01), pages 43-52.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sadeghnejad, S. & Masihi, M. & King, P.R., 2013. "Dependency of percolation critical exponents on the exponent of power law size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6189-6197.
    2. Gevorkian, S.G. & Allahverdyan, A.E. & Gevorgyan, D.S. & Ma, Wen-Jong & Hu, Chin-Kun, 2018. "Can morphological changes of erythrocytes be driven by hemoglobin?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 608-612.
    3. de Almeida, M.L. & Albuquerque, E.L. & Fulco, U.L. & Serva, M., 2014. "A percolation system with extremely long range connections and node dilution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 273-278.
    4. Cirto, Leonardo J.L. & Assis, Vladimir R.V. & Tsallis, Constantino, 2014. "Influence of the interaction range on the thermostatistics of a classical many-body system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 286-296.
    5. Moukarzel, Cristian F., 2006. "Percolation in networks with long-range connections," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 372(2), pages 340-345.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:388:y:2009:i:8:p:1521-1526. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.