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Computation 2017, 5(4), 45; doi:10.3390/computation5040045

Deformable Cell Model of Tissue Growth

1
Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, 199178 Saint Petersburg, Russia
2
Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1, 69622 Villeurbanne, France
*
Author to whom correspondence should be addressed.
Received: 30 September 2017 / Revised: 24 October 2017 / Accepted: 24 October 2017 / Published: 30 October 2017
(This article belongs to the Section Computational Biology)
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Abstract

This paper is devoted to modelling tissue growth with a deformable cell model. Each cell represents a polygon with particles located at its vertices. Stretching, bending and pressure forces act on particles and determine their displacement. Pressure-dependent cell proliferation is considered. Various patterns of growing tissue are observed. An application of the model to tissue regeneration is illustrated. Approximate analytical models of tissue growth are developed. View Full-Text
Keywords: deformable cells; tissue growth; pattern formation; analytical approximation deformable cells; tissue growth; pattern formation; analytical approximation
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Bessonov, N.; Volpert, V. Deformable Cell Model of Tissue Growth. Computation 2017, 5, 45.

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