Wound opening in a thin incompressible viscoelastic tissue

G. M. Carvalho, N. A. M. Araújo, and P. Patrício
Phys. Rev. E 104, 015001 – Published 8 July 2021

Abstract

We develop a model to investigate analytically and numerically the mechanics of wound opening made in a viscoelastic, isotropic, homogeneous, and incompressive thin tissue. This process occurs just immediately after the wound infliction. Before any active biological action has taken place, the tissue relaxes, and the wound opens mostly due to the initial homeostatic tension of the tissue, its elastic and viscous properties, and the existing friction between the tissue and its substrate. We find that for a circular wound the regimes of deformation are defined by a single adimensional parameter λ, which characterizes the relative importance of viscosity over friction.

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  • Received 23 February 2021
  • Accepted 10 June 2021

DOI:https://doi.org/10.1103/PhysRevE.104.015001

©2021 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsStatistical Physics & ThermodynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

G. M. Carvalho1,2,3,*, N. A. M. Araújo1,2,†, and P. Patrício1,4,‡

  • 1Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal
  • 2Departamento de Física, Faculdade de Ciências, Universidade de Lisboa, 1749-016 Lisboa, Portugal
  • 3Instituto Federal de Educação, Ciência e Tecnologia Catarinense, 89283-064 São Bento do Sul, Santa Catarina, Brazil
  • 4Instituto Superior de Engenharia de Lisboa, Instituto Politécnico de Lisboa, 1959-007 Lisboa, Portugal

  • *genilson.carvalho@ifc.edu.br
  • nmaraujo@fc.ul.pt
  • pedro.patricio@isel.pt

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Issue

Vol. 104, Iss. 1 — July 2021

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