A poroelastic model describing nutrient transport and cell stresses within a cyclically strained collagen hydrogel

Biophysical Journal

Volumn 105, Issue 9, 2013, Pages 2188-2198

  Vaughan Jr , Benjamin L ^a,b   Galie, Peter A ^b   Stegemann, Jan P ^b   Grotberg, James B ^b  

^a UNIVERSITY OF CINCINNATI   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLLAGEN;

ARTICLE; BIOLOGICAL MODEL; CHEMISTRY; ELASTICITY; HYDROGEL; MECHANICAL STRESS; METABOLISM; POROSITY; TRANSPORT AT THE CELLULAR LEVEL;

BIOLOGICAL TRANSPORT; COLLAGEN; ELASTICITY; HYDROGELS; MODELS, BIOLOGICAL; POROSITY; STRESS, MECHANICAL;

EID: 84887377503     PISSN: 00063495     EISSN: 15420086     Source Type: Journal    
DOI: 10.1016/j.bpj.2013.08.048     Document Type: Article

References (33)

1. R. Sudo, and S. Chung R.D. Kamm Transport-mediated angiogenesis in 3D epithelial coculture FASEB J. 23 2009 2155 2164
2. P.A. Galie, and J.P. Stegemann Simultaneous application of interstitial flow and cyclic mechanical strain to a three-dimensional cell-seeded hydrogel Tissue Eng. Part C Methods 17 2011 527 536
3. S. Ramanujan, and A. Pluen R.K. Jain Diffusion and convection in collagen gels: implications for transport in the tumor interstitium Biophys. J. 83 2002 1650 1660
4. A.A. Tomei, and F. Boschetti M.A. Swartz 3D collagen cultures under well-defined dynamic strain: a novel strain device with a porous elastomeric support Biotechnol. Bioeng. 103 2009 217 225
5. M. Eastwood, and V.C. Mudera R.A. Brown Effect of precise mechanical loading on fibroblast populated collagen lattices: morphological changes Cell Motil. Cytoskeleton 40 1998 13 21
6. D. Seliktar, and R.A. Black R.M. Nerem Dynamic mechanical conditioning of collagen-gel blood vessel constructs induces remodeling in vitro Ann. Biomed. Eng. 28 2000 351 362
7. A. Ignatius, and H. Blessing L. Claes Tissue engineering of bone: effects of mechanical strain on osteoblastic cells in type I collagen matrices Biomaterials 26 2005 311 318
8. Y. Kameo, T. Adachi, and M. Hojo Transient response of fluid pressure in a poroelastic material under uniaxial cyclic loading J. Mech. Phys. Solids 56 2008 1794 1805
9. Y. Kameo, T. Adachi, and M. Hojo Fluid pressure response in poroelastic materials subjected to cyclic loading J. Mech. Phys. Solids 57 2009 1815 1827
10. M.B. Albro, and N.O. Chahine G.A. Ateshian Dynamic loading of deformable porous media can induce active solute transport J. Biomech. 41 2008 3152 3157
11. N.O. Chahine, and M.B. Albro G.A. Ateshian Effect of dynamic loading on the transport of solutes into agarose hydrogels Biophys. J. 97 2009 968 975
12. R.L. Mauck, C.T. Hung, and G.A. Ateshian Modeling of neutral solute transport in a dynamically loaded porous permeable gel: implications for articular cartilage biosynthesis and tissue engineering J. Biomech. Eng. 125 2003 602 614
13. M.A. Biot General theory of three-dimensional consolidation J. Appl. Phys. 12 1941 155 164
14. G.C. Goulet, and D. Coombe R.F. Zernicke Poroelastic evaluation of fluid movement through the lacuno-canalicular system Ann. Biomed. Eng. 37 2009 1390 1402
15. M.A. Haider, and F. Guilak Application of a three-dimensional poroelastic BEM to modeling the biphasic mechanics of cell-matrix interactions in articular cartilage Comput. Methods Appl. Mech. Eng. 196 2007 2999 3010
16. P. Wang, and W.L. Olbricht Fluid and solid mechanics in a poroelastic network induced by ultrasound J. Biomech. 44 2011 28 33
17. C. Price, and X. Zhou L. Wang Real-time measurement of solute transport within the lacunar-canalicular system of mechanically loaded bone: direct evidence for load-induced fluid flow J. Bone Miner. Res. 26 2011 277 285
18. K. Braeckmans, and L. Peeters J. Demeester Three-dimensional fluorescence recovery after photobleaching with the confocal scanning laser microscope Biophys. J. 85 2003 2240 2252
19. G.W. Scherer, J.H. Prevost, and Z.-H. Wang Bending of a poroelastic beam with lateral diffusion Int. J. Solids Struct. 46 2009 3451 3462
20. X. Yang, and X. Liu Bending of simply supported incompressible saturated poroelastic beams with axial diffusion J. Shanghai Univ. 12 2008 1 6
21. Y. Yang, L. Li, and X. Yang Quasi-static and dynamical bending of a cantilever poroelastic beam J. Shanghai Univ 13 2009 189 196
22. S.J. Ferguson, K. Ito, and L.P. Nolte Fluid flow and convective transport of solutes within the intervertebral disc J. Biomech. 37 2004 213 221
23. P.J. Basser Interstitial pressure, volume, and flow during infusion into brain tissue Microvasc. Res. 44 1992 143 165
24. J. Mandel Consolidation of soils (mathematical study) [Consolidation des sols (étude mathématique)] Geotechnique 3 1953 287 299
25. D.E. Kenyon Consolidation in transversely isotropic solids J. Appl. Mech. T. ASME 46 1979 65 70
26. Y. Abousleiman, and A.H.D. Cheng J.C. Roegiers Mandel's problem revisited Geotechnique 46 1996 187 195
27. S.K. Hoang, and Y.N. Abousleiman Poroviscoelastic two-dimensional anisotropic solution with application to articular cartilage testing J. Eng. Mech. 135 2009 367 374
28. L. Cui, and V. Kaliakin A.H.D. Cheng Finite element formulation and application of poroelastic generalized plane strain problems Int. J. Rock Mech. Min 34 1997 953 962
29. M. Kurashige, K. Sato, and K. Imai Mandel and Cryer problems of fluid-saturated foams with negative Poisson's ratio Acta Mech. 175 2005 25 43
30. V.X. Nguyen, and Y.N. Abousleiman Poromechanics solutions to plane strain and axisymmetric Mandel-type problems in dual-porosity and dual-permeability medium J. Appl. Mech. T ASME 77 2010 011002
31. S.K. Hoang, and Y.N. Abousleiman Correspondence principle between anisotropic poroviscoelasticity and poroelasticity using micromechanics and application to compression of orthotropic rectangular strips J. Appl. Phys. 112 2012 044907
32. P.A. Galie, M.V. Westfall, and J.P. Stegemann Reduced serum content and increased matrix stiffness promote the cardiac myofibroblast transition in 3D collagen matrices Cardiovasc. Pathol. 20 2011 325 333
33. D.M. Wang, and J.M. Tarbell Modeling interstitial flow in an artery wall allows estimation of wall shear stress on smooth muscle cells J. Biomech. Eng. 117 1995 358 363