An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture

Handle URI:
http://hdl.handle.net/10754/597538
Title:
An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture
Authors:
Dyson, R. J.; Green, J. E. F.; Whiteley, J. P.; Byrne, H. M.
Abstract:
© 2015 Springer-Verlag Berlin Heidelberg 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.
Citation:
Dyson RJ, Green JEF, Whiteley JP, Byrne HM (2015) An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture. Journal of Mathematical Biology. Available: http://dx.doi.org/10.1007/s00285-015-0927-7.
Publisher:
Springer Science + Business Media
Journal:
Journal of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
2-Sep-2015
DOI:
10.1007/s00285-015-0927-7
PubMed ID:
26328534
Type:
Article
ISSN:
0303-6812; 1432-1416
Sponsors:
We thank A.M. Soto and C. Sonnenschein (Tufts University) for the initial discussions which led to the development of the model, and D.J. Smith (University of Birmingham) for assistance with aspects of the numerics. RJD gratefully acknowledges the support of the University of Birmingham’s System Science for Health initiative and the hospitality of the School of Mathematical Sciences at the University of Adelaide. JEFG is supported by a Discovery Early Career Researcher Award (DE130100031) from the Australian Research Council. The work of HMB was supported in part by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorDyson, R. J.en
dc.contributor.authorGreen, J. E. F.en
dc.contributor.authorWhiteley, J. P.en
dc.contributor.authorByrne, H. M.en
dc.date.accessioned2016-02-25T12:41:40Zen
dc.date.available2016-02-25T12:41:40Zen
dc.date.issued2015-09-02en
dc.identifier.citationDyson RJ, Green JEF, Whiteley JP, Byrne HM (2015) An investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architecture. Journal of Mathematical Biology. Available: http://dx.doi.org/10.1007/s00285-015-0927-7.en
dc.identifier.issn0303-6812en
dc.identifier.issn1432-1416en
dc.identifier.pmid26328534en
dc.identifier.doi10.1007/s00285-015-0927-7en
dc.identifier.urihttp://hdl.handle.net/10754/597538en
dc.description.abstract© 2015 Springer-Verlag Berlin Heidelberg 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.en
dc.description.sponsorshipWe thank A.M. Soto and C. Sonnenschein (Tufts University) for the initial discussions which led to the development of the model, and D.J. Smith (University of Birmingham) for assistance with aspects of the numerics. RJD gratefully acknowledges the support of the University of Birmingham’s System Science for Health initiative and the hospitality of the School of Mathematical Sciences at the University of Adelaide. JEFG is supported by a Discovery Early Career Researcher Award (DE130100031) from the Australian Research Council. The work of HMB was supported in part by award KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).en
dc.publisherSpringer Science + Business Mediaen
dc.subjectCell aggregationen
dc.subjectCollagen fibresen
dc.subjectMechanicsen
dc.subjectMultiphase modelen
dc.titleAn investigation of the influence of extracellular matrix anisotropy and cell–matrix interactions on tissue architectureen
dc.typeArticleen
dc.identifier.journalJournal of Mathematical Biologyen
dc.contributor.institutionUniversity of Birmingham, Birmingham, United Kingdomen
dc.contributor.institutionUniversity of Adelaide, Adelaide, Australiaen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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