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Lattice percolation approach to 3D modeling of tissue aging

Author

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  • Gorshkov, Vyacheslav
  • Privman, Vladimir
  • Libert, Sergiy

Abstract

We describe a 3D percolation-type approach to modeling of the processes of aging and certain other properties of tissues analyzed as systems consisting of interacting cells. Lattice sites are designated as regular (healthy) cells, senescent cells, or vacancies left by dead (apoptotic) cells. The system is then studied dynamically with the ongoing processes including regular cell dividing to fill vacant sites, healthy cells becoming senescent or dying, and senescent cells dying. Statistical-mechanics description can provide patterns of time dependence and snapshots of morphological system properties. The developed theoretical modeling approach is found not only to corroborate recent experimental findings that inhibition of senescence can lead to extended lifespan, but also to confirm that, unlike 2D, in 3D senescent cells can contribute to tissue’s connectivity/mechanical stability. The latter effect occurs by senescent cells forming the second infinite cluster in the regime when the regular (healthy) cell’s infinite cluster still exists.

Suggested Citation

  • Gorshkov, Vyacheslav & Privman, Vladimir & Libert, Sergiy, 2016. "Lattice percolation approach to 3D modeling of tissue aging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 207-216.
    • Handle: RePEc:eee:phsmap:v:462:y:2016:i:c:p:207-216
    DOI: 10.1016/j.physa.2016.05.067
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    References listed on IDEAS

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    Cited by:

    1. Soltani, Ali & Sadeghnejad, Saeid, 2018. "Scaling and critical behavior of lattice and continuum porous media with different connectivity configurations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 376-389.

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