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Type: Journal article
Title: An investigation of the influence of extracellular matrix anisotropy and cell-matrix interactions on tissue architecture
Author: Dyson, R.
Green, J.
Whiteley, J.
Byrne, H.
Citation: Journal of Mathematical Biology, 2016; 72(7):1775-1809
Publisher: Springer
Issue Date: 2016
ISSN: 0303-6812
Statement of
R. J. Dyson, J. E. F. Green, J. P. Whiteley, H. M. Byrne
Abstract: Mechanical interactions between cells and the fibrous extracellular matrix (ECM) in which they reside play a key role in tissue development. Mechanical cues from the environment (such as stress, strain and fibre orientation) regulate a range of cell behaviours, including proliferation, differentiation and motility. In turn, the ECM structure is affected by cells exerting forces on the matrix which result in deformation and fibre realignment. In this paper we develop a mathematical model to investigate this mechanical feedback between cells and the ECM. We consider a three-phase mixture of collagen, culture medium and cells, and formulate a system of partial differential equations which represents conservation of mass and momentum for each phase. This modelling framework takes into account the anisotropic mechanical properties of the collagen gel arising from its fibrous microstructure. We also propose a cell-collagen interaction force which depends upon fibre orientation and collagen density. We use a combination of numerical and analytical techniques to study the influence of cell-ECM interactions on pattern formation in tissues. Our results illustrate the wide range of structures which may be formed, and how those that emerge depend upon the importance of cell-ECM interactions.
Keywords: Multiphase model; collagen fibres; cell aggregation; mechanics
Description: Received: 9 September 2014 / Revised: 21 May 2015. Published online: 02 September 2015
Rights: © Springer-Verlag Berlin Heidelberg 2015
RMID: 0030034824
DOI: 10.1007/s00285-015-0927-7
Grant ID:
Appears in Collections:Mathematical Sciences publications

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