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

被引:101
作者
Dallon, JC [1 ]
Sherratt, JA
Maini, PK
机构
[1] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland
[2] Univ Oxford, Inst Math, Ctr Math Biol, Oxford OX1 3LB, England
基金
英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词
D O I
10.1006/jtbi.1999.0971
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
Matrix orientation plays a crucial role in determining the severity of scar tissue after dermal wounding. We present a model framework which allows us to examine the interaction of many of the factors involved in orientation and alignment. Within this framework, cells are considered as discrete objects, while the matrix is modelled as a continuum. Using numerical simulations, we investigate the effect on alignment of changing cell properties and of varying cell interactions with collagen and fibrin. (C) 1999 Academic Press.
引用
收藏
页码:449 / 471
页数:23
相关论文
共 54 条
[1]  
ADAMS JJ, 1997, THESIS U MANCHESTER
[2]   An anisotropic biphasic theory of tissue-equivalent mechanics: The interplay among cell traction, fibrillar network deformation, fibril alignment, and cell contact guidance [J].
Barocas, VH ;
Tranquillo, RT .
JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME, 1997, 119 (02) :137-145
[3]   EXTRACELLULAR COMPARTMENTS IN TENDON MORPHOGENESIS - COLLAGEN FIBRIL, BUNDLE, AND MACROAGGREGATE FORMATION [J].
BIRK, DE ;
TRELSTAD, RL .
JOURNAL OF CELL BIOLOGY, 1986, 103 (01) :231-240
[4]  
CHAPLAIN MAJ, 1996, WOUNDS COMPENDIUM CL, V8, P587
[5]  
CLARK P, 1990, DEVELOPMENT, V108, P635
[6]  
Clark R., 1996, Mezhdunarodnyi Sel'skokhozyaistvennyi Zhurnal, P3
[7]  
CLARK RAF, 1995, J CELL SCI, V108, P1251
[8]   MATHEMATICAL-MODELING OF CORNEAL EPITHELIAL WOUND-HEALING [J].
DALE, PD ;
MAINI, PK ;
SHERRATT, JA .
MATHEMATICAL BIOSCIENCES, 1994, 124 (02) :127-147
[9]   A mathematical model for collagen fibre formation during foetal and adult dermal wound healing [J].
Dale, PD ;
Sherratt, JA ;
Maini, PK .
PROCEEDINGS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1996, 263 (1370) :653-660
[10]   A mathematical model for fibroblast and collagen orientation [J].
Dallon, JC ;
Sherratt, JA .
BULLETIN OF MATHEMATICAL BIOLOGY, 1998, 60 (01) :101-129