References
399
Cyron CJ, Humphrey JD (2017) Growth and remodeling of load-bearing biological soft tissues.
Meccanica 52:645–664
Dartsch PC, Betz E (1989) Response of cultured endothelial cells to mechanical stimulation. Basic
Res Cardiol 84:268–281
Dartsch PC, Hammerle H, Betz E (1986) Orientation of cultured arterial smooth muscle cells
growing on cyclically stretched substrates. Acta Anat (Basel) 125:108–113
Espinosa MG, Staiculescu MC, Kim J, Marin E, and Wagenseil JE (2018) Elastic fibers and large
artery mechanics in animal models of development and disease. J Biomech Eng 140:020803
Fann JI, Sarris GE, Ingels NB, Niczyporuk MA, Yun KL, Daughters GT, Derby GC, Miller DC
(1991) Regional epicardial and endocardial two-dimensional finite deformations in canine left
ventricle. Am J Physiol 261:H1402–H1410
Faury G, Maher GM, Li DY, Keating MT, Mecham RP, Boyle WA (1999) Relation between outer
and luminal diameter in cannulated arteries. Am J Physiol 277:1745–1753
Fillinger MF, Raghavan ML, Marra SP, Cronenwett JL, Kennedy FE (2002) In vivo analysis of
mechanical wall stress and abdominal aortic aneurysm rupture risk. J Vasc Surg 36:589–597
Fillinger MF, Marra SP, Raghavan ML, Kennedy FE (2003) Prediction of rupture risk in abdominal
aortic aneurysm during observation: wall stress versus diameter. J Vasc Surg 37:724–732
Flugge W (1975) Viscoelasticity. Springer, New York
Fung YC, Liu SQ (1989) Change of residual strains in arteries due to hypertrophy caused by aortic
constriction. Circ Res 65:1340–1349
Gleason RL, Taber LA, Humphrey JD (2004) A 2-d model of flow-induced alterations in the
geometry, structure, and properties of carotid arteries. J Biomech Eng 126:371–381
Humphrey JD (1999) Remodeling of a collagenous tissue at fixed lengths. J Biomech Eng
121:591–597
Humphrey JD (2002) Cardiovascular solid mechanics: cells, tissues, and organs. Springer, New
York
Humphrey JD (2008) Vascular adaptation and mechanical homeostasis at tissue, cellular, and subcellular levels. Cell Biochem Biophys 50:53–78
Humphrey JD, Rajagopal KR (2002) A constrained mixture model for growth and remodeling of
soft tissues. Math Models Methods Appl Sci 12 :407–430
Humphrey JD, Rajagopal KR (2003) A constrained mixture model for arterial adaptations to a
sustained step change in blood flow. Biomech Model Mechanobiol 2:109–126
Kaunas R, Hsu HJ (2009) A kinematic model of stretch-induced stress fiber turnover and
reorientation. J Theor Biol 257:320–330
Kaunas R, Usami S, Chien S (2006) Regulation of stretch-induced JNK activation by stress fiber
orientation. Cell Signal 18:1924–1931
Koch JC (1917) The laws of bone architecture. Am J Anat 21:177–298
Kroon M, Holzapfel GA (2007) A model for saccular cerebral aneurysm growth by collagen fibre
remodelling. J Theor Biol 247:775–787
Latorre M, Humphrey JD (2018) A mechanobiologically equilibrated constrained mixture model
for growth and remodeling of soft tissues. ZAMM J Appl Math Mech/Z Angew Math Mech
98:2048–2071
Latorre M, Humphrey JD (2019) Mechanobiological stability of biological soft tissues. J Mech
Phys Solids 125:298–325
Leung DYM, Glagov S, Mathews MB (1976) Cyclic stretching stimulates synthesis of matrix
components by arterial smooth muscle cells in vitro. Science 191:475–477
MacKenna DA, Vaplon SM, McCulloch AD (1997) Microstructural model of perimysial collagen
fibers for resting myocardial mechanics during ventricular filling. Am J Physiol 273:H1576–
1586
Meshel AS, Wei Q, Adelstein RS, Sheetz MP (2005) Basic mechanism of three-dimensional
collagen fibre transport by fibroblasts. Nat Cell Biol 7:157–164
Na S, Meininger GA, Humphrey JD (2007) A theoretical model for f-actin remodeling in vascular
smooth muscle cells subjected to cyclic stretch. J Theor Biol 246:87–99
399
Cyron CJ, Humphrey JD (2017) Growth and remodeling of load-bearing biological soft tissues.
Meccanica 52:645–664
Dartsch PC, Betz E (1989) Response of cultured endothelial cells to mechanical stimulation. Basic
Res Cardiol 84:268–281
Dartsch PC, Hammerle H, Betz E (1986) Orientation of cultured arterial smooth muscle cells
growing on cyclically stretched substrates. Acta Anat (Basel) 125:108–113
Espinosa MG, Staiculescu MC, Kim J, Marin E, and Wagenseil JE (2018) Elastic fibers and large
artery mechanics in animal models of development and disease. J Biomech Eng 140:020803
Fann JI, Sarris GE, Ingels NB, Niczyporuk MA, Yun KL, Daughters GT, Derby GC, Miller DC
(1991) Regional epicardial and endocardial two-dimensional finite deformations in canine left
ventricle. Am J Physiol 261:H1402–H1410
Faury G, Maher GM, Li DY, Keating MT, Mecham RP, Boyle WA (1999) Relation between outer
and luminal diameter in cannulated arteries. Am J Physiol 277:1745–1753
Fillinger MF, Raghavan ML, Marra SP, Cronenwett JL, Kennedy FE (2002) In vivo analysis of
mechanical wall stress and abdominal aortic aneurysm rupture risk. J Vasc Surg 36:589–597
Fillinger MF, Marra SP, Raghavan ML, Kennedy FE (2003) Prediction of rupture risk in abdominal
aortic aneurysm during observation: wall stress versus diameter. J Vasc Surg 37:724–732
Flugge W (1975) Viscoelasticity. Springer, New York
Fung YC, Liu SQ (1989) Change of residual strains in arteries due to hypertrophy caused by aortic
constriction. Circ Res 65:1340–1349
Gleason RL, Taber LA, Humphrey JD (2004) A 2-d model of flow-induced alterations in the
geometry, structure, and properties of carotid arteries. J Biomech Eng 126:371–381
Humphrey JD (1999) Remodeling of a collagenous tissue at fixed lengths. J Biomech Eng
121:591–597
Humphrey JD (2002) Cardiovascular solid mechanics: cells, tissues, and organs. Springer, New
York
Humphrey JD (2008) Vascular adaptation and mechanical homeostasis at tissue, cellular, and subcellular levels. Cell Biochem Biophys 50:53–78
Humphrey JD, Rajagopal KR (2002) A constrained mixture model for growth and remodeling of
soft tissues. Math Models Methods Appl Sci 12 :407–430
Humphrey JD, Rajagopal KR (2003) A constrained mixture model for arterial adaptations to a
sustained step change in blood flow. Biomech Model Mechanobiol 2:109–126
Kaunas R, Hsu HJ (2009) A kinematic model of stretch-induced stress fiber turnover and
reorientation. J Theor Biol 257:320–330
Kaunas R, Usami S, Chien S (2006) Regulation of stretch-induced JNK activation by stress fiber
orientation. Cell Signal 18:1924–1931
Koch JC (1917) The laws of bone architecture. Am J Anat 21:177–298
Kroon M, Holzapfel GA (2007) A model for saccular cerebral aneurysm growth by collagen fibre
remodelling. J Theor Biol 247:775–787
Latorre M, Humphrey JD (2018) A mechanobiologically equilibrated constrained mixture model
for growth and remodeling of soft tissues. ZAMM J Appl Math Mech/Z Angew Math Mech
98:2048–2071
Latorre M, Humphrey JD (2019) Mechanobiological stability of biological soft tissues. J Mech
Phys Solids 125:298–325
Leung DYM, Glagov S, Mathews MB (1976) Cyclic stretching stimulates synthesis of matrix
components by arterial smooth muscle cells in vitro. Science 191:475–477
MacKenna DA, Vaplon SM, McCulloch AD (1997) Microstructural model of perimysial collagen
fibers for resting myocardial mechanics during ventricular filling. Am J Physiol 273:H1576–
1586
Meshel AS, Wei Q, Adelstein RS, Sheetz MP (2005) Basic mechanism of three-dimensional
collagen fibre transport by fibroblasts. Nat Cell Biol 7:157–164
Na S, Meininger GA, Humphrey JD (2007) A theoretical model for f-actin remodeling in vascular
smooth muscle cells subjected to cyclic stretch. J Theor Biol 246:87–99