Mathematical modelling of extracellular matrix dynamics using discrete cells: fiber orientation and tissue regeneration.

作者: John C Dallon , Jonathan A Sherratt , Philip K Maini

DOI: 10.1006/JTBI.1999.0971

关键词: Cell polarityScar tissueExtracellular matrixMaterials scienceOrientation (graph theory)NanotechnologyFiber orientationBiological systemDynamics (mechanics)Matrix (biology)

摘要: Matrix orientation plays a crucial role in determining the severity of scar tissue after dermal wounding. We present model framework which allows us to examine interaction many factors involved and alignment. Within this framework, cells are considered as discrete objects, while matrix is modelled continuum. Using numerical simulations, we investigate effect on alignment changing cell properties varying interactions with collagen fibrin.

参考文章(50)
David Stopak, Albert K. Harris, Connective tissue morphogenesis by fibroblast traction: I. Tissue culture observations Developmental Biology. ,vol. 90, pp. 383- 398 ,(1982) , 10.1016/0012-1606(82)90388-8
P. M. Henson, R. A. F. Clark, The Molecular and Cellular Biology of Wound Repair ,(1995)
Elizabeth D. Hay, Cell Biology of Extracellular Matrix ,(1988)
Peter J. Wojtowicz, Ping Sheng, E. B. Priestly, Introduction to Liquid Crystals ,(2012)
P Clark, P Connolly, ASG Curtis, JAT Dow, CDW Wilkinson, None, Topographical control of cell behaviour: II. Multiple grooved substrata. Development. ,vol. 108, pp. 635- 644 ,(1990) , 10.1242/DEV.108.4.635
Albert K. Harris, David Stopak, Patricia Wild, Fibroblast traction as a mechanism for collagen morphogenesis Nature. ,vol. 290, pp. 249- 251 ,(1981) , 10.1038/290249A0
Alexander Mogilner, Leah Edelstein-Keshet, G. Bard Ermentrout, Selecting a common direction Journal of Mathematical Biology. ,vol. 34, pp. 811- 842 ,(1996) , 10.1007/BF01834821
John C Dallon, Jonathan A Sherratt, A Mathematical Model for Fibroblast and Collagen Orientation Bulletin of Mathematical Biology. ,vol. 60, pp. 101- 129 ,(1998) , 10.1006/BULM.1997.0027
Luke Olsen, Philip K. Maini, Jonathan A. Sherratt, Ben Marchant, Simple modelling of extracellular matrix alignment in dermal wound healing I. cell flux induced alignment Computational and Mathematical Methods in Medicine. ,vol. 1, pp. 175- 192 ,(1998) , 10.1080/10273669808833018
N. Matsumoto, S. Horibe, N. Nakamura, T. Senda, K. Shino, T. Ochi, Effect of alignment of the transplanted graft extracellular matrix on cellular repopulation and newly synthesized collagen. Archives of Orthopaedic and Trauma Surgery. ,vol. 117, pp. 215- 221 ,(1998) , 10.1007/S004020050232