Models, measurement and inference in epithelial tissue dynamics

  • Received: 01 October 2014 Accepted: 29 June 2018 Published: 01 August 2015
  • MSC : Primary: 92CXX; Secondary: 92BXX, 92D25.

  • The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that have been used to model epithelia. We compare different models and describe future challenges that need to be overcome in order to fully exploit new data which present, for the first time, the real possibility for detailed model validation and comparison.

    Citation: Oliver J. Maclaren, Helen M. Byrne, Alexander G. Fletcher, Philip K. Maini. Models, measurement and inference in epithelial tissue dynamics[J]. Mathematical Biosciences and Engineering, 2015, 12(6): 1321-1340. doi: 10.3934/mbe.2015.12.1321

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  • The majority of solid tumours arise in epithelia and therefore much research effort has gone into investigating the growth, renewal and regulation of these tissues. Here we review different mathematical and computational approaches that have been used to model epithelia. We compare different models and describe future challenges that need to be overcome in order to fully exploit new data which present, for the first time, the real possibility for detailed model validation and comparison.


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