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A computational study of discrete mechanical tissue models.

P Pathmanathan1, J Cooper, A Fletcher

  • 1Computing Laboratory, University of Oxford, Wolfson Building, Parks Road, Oxford OX1 3QD, UK.

Physical Biology
|April 17, 2009
PubMed
Summary

This study models tissue mechanics using discrete cell approaches. Computational models reveal tissues exhibit elastic-plastic behavior under compression and brittle behavior under tension, informing cell-based parameter choices.

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Area of Science:

  • Computational biology
  • Biophysics
  • Materials science

Background:

  • Discrete cell-centre models are used to simulate tissue evolution.
  • Understanding tissue mechanics requires separating passive responses from active processes like cell growth.

Purpose of the Study:

  • To computationally investigate discrete cell-centre models for tissue mechanics.
  • To analyze the mechanical behavior of cell collections, distinguishing passive from active effects.
  • To explore implementation challenges and validate models against bulk tissue properties.

Main Methods:

  • Computational modeling of cell collections using discrete 'cell-centre' approaches.
  • Numerical mechanical experiments simulating compression and tension.
  • Examination of overlapping spheres and Voronoi-tessellation models.
  • Analysis of cell-cell interaction force laws and their impact on bulk properties.

Main Results:

  • Discrete tissues demonstrate elastic-plastic behavior under slow compression.
  • Under slow tension, these models behave as brittle linear elastic solids.
  • Different cell-cell force laws influence bulk mechanical properties.

Conclusions:

  • Computational models can replicate distinct mechanical behaviors of tissues.
  • The study provides a framework for aligning cell-based model parameters with experimental tissue measurements.
  • This work aids in developing more accurate computational models of tissue biomechanics.