Prediction of equibiaxial loading stress in collagen-based extracellular matrix using a three-dimensional unit cell model

Acta Biomaterialia - Tập 9 - Trang 5544-5553 - 2013
Monica E. Susilo1, Brett J. Bell2, Blayne A. Roeder1, Sherry L. Voytik-Harbin2,3, Klod Kokini1,2, Eric A. Nauman1,2,3
1School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907-2088, USA
2Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN 47907, USA
3Department of Basic Medical Sciences, Purdue University, West Lafayette, IN 47907, USA

Tài liệu tham khảo

Pizzo, 2005, Extracellular matrix (ECM) microstructural composition regulates local cell–ECM biomechanics and fundamental fibroblast behavior: a multidimensional perspective, J Appl Physiol, 98, 1909, 10.1152/japplphysiol.01137.2004 Fung, 1981 Sun, 2005, Effects of boundary conditions on the estimation of the planar biaxial mechanical properties of soft tissues, J Biomech Eng, 127, 709, 10.1115/1.1933931 Sacks, 2003, Incorporation of experimentally-derived fiber orientation into a structural constitutive model for planar collagenous tissues, J Biomech Eng, 125, 280, 10.1115/1.1544508 Guerin, 2005, The role of fiber–matrix interactions in a nonlinear fiber-reinforced strain energy model of tendon, J Biomech Eng, 127, 345, 10.1115/1.1865212 Yang, 2006, Directional, regional, and layer variations of mechanical properties of esophageal tissue and its interpretation using a structure-based constitutive model, J Biomech Eng, 128, 409, 10.1115/1.2187033 Lanir, 1983, Constitutive equations for fibrous connective tissue, J Biomech, 16, 1, 10.1016/0021-9290(83)90041-6 Wang, 2000, Structure, mechanics and failure of stochastic fibrous networks: Part 1 – Microscale considerations, J Eng Mater Technol, 122, 450, 10.1115/1.1288769 Chandran, 2007, Deterministic material-based averaging theory model of collagen gel micromechanics, J Biomech Eng, 129, 137, 10.1115/1.2472369 Sander, 2009, Image-based multiscale modeling predicts tissue-level and network-level fiber reorganization in stretched cell-compacted collagen gels, Proc Natl Acad Sci USA, 106, 17675, 10.1073/pnas.0903716106 Susilo, 2010, Development of a three-dimensional unit cell to model the micromechanical response of a collagen-based extracellular matrix, Acta Biomater, 6, 1471, 10.1016/j.actbio.2009.11.014 Gibson, 1999 Wu, 2003, Analysis of orientations of collagen fibers by novel fiber-tracking software, Microsc Microanal, 9, 574, 10.1017/S1431927603030277 Friedl, 1997, Migration of highly aggressive MV3 melanoma cells in 3-dimensional collagen lattices results in local matrix reorganization and shedding of alpha2 and beta1 integrins and CD44, Cancer Res, 57, 2061 Bilgili, 2004, Restricting the hyperelastic models for elastomers based on some thermodynamical, mechanical, and empirical criteria, J Elastomers Plast, 36, 159, 10.1177/0095244304042596 Voytik-Harbin, 2003, Simultaneous mechanical loading and confocal reflection microscopy for three-dimensional microbiomechanical analysis of biomaterials and tissue constructs, Microsc Microanal, 9, 74, 10.1017/S1431927603030046 Roeder, 2003 Roeder, 2009, Fibril microstructure affects strain transmission within collagen extracellular matrices, J Biomech Eng, 131, 031004, 10.1115/1.3005331 Bell, 2012, Multiscale strain analysis of tissue equivalents using a custom-designed biaxial testing device, Biophys J, 102, 1303, 10.1016/j.bpj.2012.02.007 Kreger, 2010, Polymerization and matrix physical properties as important design considerations for soluble collagen formulations, Biopolymers, 93, 690 Stein, 2008, An algorithm for extracting the network geometry of three-dimensional collagen gels, J Microsc, 232, 463, 10.1111/j.1365-2818.2008.02141.x Pins, 1995, Effects of static axial strain on the tensile properties and failure mechanisms of self-assembled collagen fibers, J Appl Polymer Sci, 63, 1429, 10.1002/(SICI)1097-4628(19970314)63:11<1429::AID-APP5>3.0.CO;2-O Graham, 2004, Structural changes in human type I collagen fibrils investigated by force spectroscopy, Exp Cell Res, 299, 335, 10.1016/j.yexcr.2004.05.022 Lally, 2004, Elastic behavior of porcine coronary artery tissue under uniaxial and equibiaxial tension, Ann Biomed Eng, 32, 1355, 10.1114/B:ABME.0000042224.23927.ce Martins, 2006, A comparative study of several material models for prediction of hyperelastic properties: application to silicone-rubber and soft tissues, Strain, 42, 135, 10.1111/j.1475-1305.2006.00257.x O’Hagan, 2009, Measurement of the hyperelastic properties of 44 pathological ex vivo breast tissue samples, Phys Med Biol, 54, 2557, 10.1088/0031-9155/54/8/020 Meier, 2003, Uniaxial and equi-biaxial tension tests of silicone elastomer, Constitutive Models Rubber, III, 99 Arruda, 1993, A 3-dimensional constitutive model for the large stretch behavior of rubber elastic-materials, J Mech Phys Solids, 41, 389, 10.1016/0022-5096(93)90013-6