References
339
Fung YC, Liu SQ (1989) Change of residual strains in arteries due to hypertrophy caused by aortic
constriction. Circ Res 65:1340–1349
Fung YC, Liu SQ (1991) Changes of zero-stress state of rat pulmonary arteries in hypoxic
hypertension. J Appl Physiol 70:2455–2470
Goldberg AL, Etlinger JD, Goldspink DF, Jablecki C (1975) Mechanism of work-induced
hypertrophy of skeletal muscle. Med Sci Sports Exerc 7:248–261
Goriely A (2017) The mathematics and mechanics of biological growth. Springer, New York
Greenwald SE, Moore JE Jr, Rachev A, Kane TPC, Meister JJ (1997) Experimental investigation
of the distribution of residual strains in the artery wall. J Biomech Eng 119:438–444
Gregersen H, Kassab GS, Fung YC (2000) The zero-stress state of the gastrointestinal tract:
biomechanical and functional implications. Dig Dis Sci 45:2271–2281
Grossman W (1980) Cardiac hypertrophy: useful adaptation or pathologic process? Am J Med
69:576–584
Han HC, Fung YC (1991) Residual strains in porcine and canine trachea. J Biomech 24:307–315
Henderson JH, Nacamuli RP, Zhao B, Longaker MT, Carter DR (2005) Age-dependent residual
tensile strains are present in the dura mater of rats. J R Soc Interface 2:159–167
Himpel G, Kuhl E, Menzel A, Steinmann P (2005) Computational modelling of isotropic
multiplicative growth. CMES-Comput Model Eng Sci 8:119–134
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, 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
Jain RK, Martin JD, Stylianopoulos T (2014) The role of mechanical forces in tumor growth and
therapy. Annu Rev Biomed Eng 16:321–346
Kamiya A, Togawa T (1980) Adaptive regulation of wall shear stress to flow change in the canine
carotid artery. Am J Physiol 239:H14–H21
Kamiya A, Bukhari R, Togawa T (1984). Adaptive regulation of wall shear stress optimizing
vascular tree function. Bull Math Biol 46:127–137
Kandarian SC, White TP (1989) Force deficit during the onset of muscle hypertrophy. J Appl
Physiol (1985) 67:2600–2607
Kerckhoffs RCP, Omens JH, McCulloch AD (2012) A single strain-based growth law predicts
concentric and eccentric cardiac growth during pressure and volume overload. Mech Res
Commun 42:40–50
Kuo L, Davis MJ, Chilian WM (1990) Endothelium-dependent, flow-induced dilation of isolated
coronary arterioles. Am J Physiol 259:H1063–H1070
Langer K (1978a) On the anatomy and physiology of the skin. I. The cleavability of the cutis. Br J
Plast Surg 31:3–8
Langer K (1978b) On the anatomy and physiology of the skin. II. Skin tension. Br J Plast Surg
31:93–106
Latorre M, Humphrey JD (2019) Mechanobiological stability of biological soft tissues. J Mech
Phys Solids 125:298–325
Lesch M, Parmley WW, Hamosh M, Kaufman S, Sonnenblick EH (1968) Effects of acute
hypertrophy on the contractile properties of skeletal muscle. Am J Physiol 214:685–690
Liu SQ, Fung YC (1989) Relationship between hypertension, hypertrophy, and opening angle of
zero-stress state of arteries following aortic constriction. J Biomech Eng 111:325–335
Lubarda VA, Hoger A (2002) On the mechanics of solids with a growing mass. Int J Solids Struct
39 :4627–4664
Martin RR, Haines H (1970) Application of Laplace’s law to mammalian hearts. Comput Biochem
Physiol 34:959–962
339
Fung YC, Liu SQ (1989) Change of residual strains in arteries due to hypertrophy caused by aortic
constriction. Circ Res 65:1340–1349
Fung YC, Liu SQ (1991) Changes of zero-stress state of rat pulmonary arteries in hypoxic
hypertension. J Appl Physiol 70:2455–2470
Goldberg AL, Etlinger JD, Goldspink DF, Jablecki C (1975) Mechanism of work-induced
hypertrophy of skeletal muscle. Med Sci Sports Exerc 7:248–261
Goriely A (2017) The mathematics and mechanics of biological growth. Springer, New York
Greenwald SE, Moore JE Jr, Rachev A, Kane TPC, Meister JJ (1997) Experimental investigation
of the distribution of residual strains in the artery wall. J Biomech Eng 119:438–444
Gregersen H, Kassab GS, Fung YC (2000) The zero-stress state of the gastrointestinal tract:
biomechanical and functional implications. Dig Dis Sci 45:2271–2281
Grossman W (1980) Cardiac hypertrophy: useful adaptation or pathologic process? Am J Med
69:576–584
Han HC, Fung YC (1991) Residual strains in porcine and canine trachea. J Biomech 24:307–315
Henderson JH, Nacamuli RP, Zhao B, Longaker MT, Carter DR (2005) Age-dependent residual
tensile strains are present in the dura mater of rats. J R Soc Interface 2:159–167
Himpel G, Kuhl E, Menzel A, Steinmann P (2005) Computational modelling of isotropic
multiplicative growth. CMES-Comput Model Eng Sci 8:119–134
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, 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
Jain RK, Martin JD, Stylianopoulos T (2014) The role of mechanical forces in tumor growth and
therapy. Annu Rev Biomed Eng 16:321–346
Kamiya A, Togawa T (1980) Adaptive regulation of wall shear stress to flow change in the canine
carotid artery. Am J Physiol 239:H14–H21
Kamiya A, Bukhari R, Togawa T (1984). Adaptive regulation of wall shear stress optimizing
vascular tree function. Bull Math Biol 46:127–137
Kandarian SC, White TP (1989) Force deficit during the onset of muscle hypertrophy. J Appl
Physiol (1985) 67:2600–2607
Kerckhoffs RCP, Omens JH, McCulloch AD (2012) A single strain-based growth law predicts
concentric and eccentric cardiac growth during pressure and volume overload. Mech Res
Commun 42:40–50
Kuo L, Davis MJ, Chilian WM (1990) Endothelium-dependent, flow-induced dilation of isolated
coronary arterioles. Am J Physiol 259:H1063–H1070
Langer K (1978a) On the anatomy and physiology of the skin. I. The cleavability of the cutis. Br J
Plast Surg 31:3–8
Langer K (1978b) On the anatomy and physiology of the skin. II. Skin tension. Br J Plast Surg
31:93–106
Latorre M, Humphrey JD (2019) Mechanobiological stability of biological soft tissues. J Mech
Phys Solids 125:298–325
Lesch M, Parmley WW, Hamosh M, Kaufman S, Sonnenblick EH (1968) Effects of acute
hypertrophy on the contractile properties of skeletal muscle. Am J Physiol 214:685–690
Liu SQ, Fung YC (1989) Relationship between hypertension, hypertrophy, and opening angle of
zero-stress state of arteries following aortic constriction. J Biomech Eng 111:325–335
Lubarda VA, Hoger A (2002) On the mechanics of solids with a growing mass. Int J Solids Struct
39 :4627–4664
Martin RR, Haines H (1970) Application of Laplace’s law to mammalian hearts. Comput Biochem
Physiol 34:959–962