Efficient computational simulation of actin stress fiber remodeling

References

• Bhole AP, Flynn BP, Liles M, Saeidi N, Dimarzio CA, Ruberti JW. 2009. Mechanical strain enhances survivability of collagen micronetworks in the presence of collagenase: implications for load-bearing matrix growth and stability. Philos Trans A Math Phys Eng Sci. 376:3339–3362.
   Web of Science ®Google Scholar
• Billiar KL, Sacks MS. 2000a. Biaxial mechanical properties of the natural and glutaraldehyde-treated aortic valve cusp-part I: experimental results. J Biomech Eng. 122:23–30.
   PubMed Web of Science ®Google Scholar
• Billiar KL, Sacks MS. 2000b. Biaxial mechanical properties of the natural and glutaraldehyde-treated aortic valve cusp-part II: a structural constitutive model. J Biomech Eng. 122:327–335.
   PubMed Web of Science ®Google Scholar
• De Jonge N, Kanters FMW, Baaijens FPT, Bouten CVC. 2013. Strain-induced collagen organization at the micro-level in fibrin-based engineered tissue constructs. Ann Biomed Eng. 41:763–774.
   PubMed Web of Science ®Google Scholar
• Deshpande VS, McMeeking RM, Evans AG. 2006. A bio-chemo-mechanical model for cell contractility. Proc Natl Acad Sci USA. 103:14015–14020.
   PubMed Web of Science ®Google Scholar
• Fan R, Bayoumi AS, Chen P, Hobson CM, Wagner WR, Mayer JE, Jr., Sacks MS. 2013. Optimal elastomeric scaffold leaflet shape for pulmonary heart valve leaflet replacement. J Biomech. 46:662–669.
   PubMed Web of Science ®Google Scholar
• Faust U, Hampe N, Rubner W, Kirchgessner N, Safran S, Hoffmann B, Merkel R. 2011. Cyclic stress at mHz frequencies aligns fibroblasts in direction of zero strain. Plos One 6:e28963.
   PubMed Web of Science ®Google Scholar
• Foolen J, Deshpande VS, Kanters FMW, Baaijens FPT. 2012. The influence of matrix integrity on stress-fiber remodeling in 3D. Biomaterials. 33:7508–7518.
   PubMed Web of Science ®Google Scholar
• Foolen J, Janssen-van den Broek MWJT, Baaijens FPT. 2014. Synergy between Rho signaling and matrix density in cyclic stretch-induced stress fiber organization. Acta Biomater. 10:1876–85.
   PubMed Web of Science ®Google Scholar
• Ghibaudo M, Saez A, Trichet L, Xayaphoummine A, Browaeys J, Silberzan P, Buguinb A, Ladoux B. 2008. Traction forces and rigidity sensing regulate cell functions. Soft Matter. 4:1836–1843.
   Web of Science ®Google Scholar
• Hairer E, Wanner G, Lubich C. 2006. Geometric numerical integration. Structure-preserving algorithms for ordinary differential equations. Springer Series in Computational Mathematics. 2nd ed. 31, Springer-Verlag: Berlin; p. xviii–644.
   Google Scholar
• Kaunas R, Nguyen P, Usami S, Chien S. 2005. Cooperative effects of Rho and mechanical stretch on stress fiber organization. Proc Natl Acad Sci USA 102:15895–15900.
   PubMed Web of Science ®Google Scholar
• Kaunas R, Hsu HJ. 2009. A kinematic model of stretch-induced stress fiber turnover and reorientation. J Theor Biol. 257:320–330.
   PubMed Web of Science ®Google Scholar
• Johnson CP, Tang H-Y, Carag C, Speicher DW, Discher DE. 2007. Forced unfolding of proteins within cells. Science. 317:663–666.
   PubMed Web of Science ®Google Scholar
• Loerakker S, Argento G, Oomens CWJ, Baaijens FPT. 2013. Effects of valve geometry and tissue anisotropy on the radial stretch and coaptation area of tissue-engineered heart valves. J Biomech. 46:1792–1800.
   PubMed Web of Science ®Google Scholar
• Loerakker S, Obbink-Huizer C, Baaijens FPT. 2014. A physically motivated constitutive model for cell-mediated compaction and collagen remodeling in soft tissues. Biomech Model Mechanobiol. 13:985–1001.
   PubMed Web of Science ®Google Scholar
• Martin C, Sun W. 2012. Biomechanical characterization of aortic valve tissue in humans and common animal models. J Biomed Mater Res A. 100:1591–1599.
   PubMed Web of Science ®Google Scholar
• Obbink-Huizer C, Oomens CWJ, Loerakker S, Foolen J, Bouten CVC, Baaijens FPT. 2014. Computational model predicts cell orientation in response to a range of mechanical stimuli. Biomech Model Mechanobiol. 13:227–236.
   PubMed Web of Science ®Google Scholar
• Peskin CS, McQueen DM. 1994. Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets. Am J Physiol. 266:H319–28.
   PubMed Web of Science ®Google Scholar
• Petzold LR. 1981. An efficient numerical method for highly oscillatory ordinary differential equations. SIAM J Numer Anal. 18:455–479.
   Web of Science ®Google Scholar
• Petzold LR, Jay LO, Yen J. 1997. Numerical solution of highly oscillatory ordinary differential equations. Acta Numerica. 6:437–483.
   Google Scholar
• Ruberti JW, Hallab NJ. 2005. Strain-controlled enzymatic cleavage of collagen in loaded matrix. Biochem Biophys Res Commun. 336:483–489.
   PubMed Web of Science ®Google Scholar
• Sacks MS, David Merryman W, Schmidt DE. 2009. On the biomechanics of heart valve function. J Biomech. 42:1804–1824.
   PubMed Web of Science ®Google Scholar
• Saez A, Ghibaudo M, Buguin A, Silberzan P, Ladoux B. 2007. Rigidity-driven growth and migration of epithelial cells on microstructured anisotropic substrates. Proc Natl Acad Sci USA. 20:8281–8286.
   Web of Science ®Google Scholar
• Tondon A, Hsu HJ, Kaunas R. 2012. Dependence of cyclic stretch-induced stress fiber reorientation on stretch waveform. J Biomech. 45:728–35.
   PubMed Web of Science ®Google Scholar
• Vernerey FJ, Farsad M. 2011. A constrained mixture approach to mechano-sensing and force generation in contractile cells. J Mech Behav Biomed Mater. 4:1683–99.
   PubMed Web of Science ®Google Scholar
• Vogel V. 2006. Mechanotransduction involving multimodular proteins: converting force into biochemical signals. Annu Rev Byophys Biomol Struct. 35:459–488.
   PubMedGoogle Scholar
• Wang JHC, Jia F, Gilbert TW, Woo SLY. 2003. Cell orientation determines the alignment of cell-produced collagenous matrix. J Biomech. 36:97–102.
   PubMed Web of Science ®Google Scholar
• Wei Z, Deshpande VS, McMeeking RM, Evans AG. 2008. Analysis and interpretation of stress fiber organization in cells subject to cyclic stretch. J Biomech Eng. 130:031009.
   Web of Science ®Google Scholar
• Wyatt KEK, Bourne JW, Torzilli PA. 2009. Deformation-dependent enzyme mechanokinetic cleavage of type I collagen. J Biomech Eng. 131:051004.
   Web of Science ®Google Scholar
• Zemel A, Rehfeldt F, Brown AEX, Discher DE, Safran SA. 2010. Optimal matrix rigidity or stress fiber polarization in stem cells. Nat Phys. 6:468–473.
   PubMed Web of Science ®Google Scholar