Cell growth, division, and death in cohesive tissues: A thermodynamic approach

Shunsuke Yabunaka and Philippe Marcq
Phys. Rev. E 96, 022406 – Published 14 August 2017

Abstract

Cell growth, division, and death are defining features of biological tissues that contribute to morphogenesis. In hydrodynamic descriptions of cohesive tissues, their occurrence implies a nonzero rate of variation of cell density. We show how linear nonequilibrium thermodynamics allows us to express this rate as a combination of relevant thermodynamic forces: chemical potential, velocity divergence, and activity. We illustrate the resulting effects of the nonconservation of cell density on simple examples inspired by recent experiments on cell monolayers, considering first the velocity of a spreading front, and second an instability leading to mechanical waves.

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  • Received 15 September 2016
  • Revised 16 May 2017

DOI:https://doi.org/10.1103/PhysRevE.96.022406

©2017 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living Systems

Authors & Affiliations

Shunsuke Yabunaka*

  • Fukui Institute for Fundamental Chemistry, Kyoto University, Kyoto, Japan

Philippe Marcq

  • Sorbonne Universités, UPMC Université Paris 6, Institut Curie, CNRS, UMR 168, Laboratoire Physico Chimie Curie, Paris, France

  • *yabunaka@scphys.kyoto-u.ac.jp
  • philippe.marcq@curie.fr

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Vol. 96, Iss. 2 — August 2017

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