340
6 Growth
Nelson D (2013) Review of methods for determining residual stresses in biological materials.
Springer, New York, pp 173–182
Northey JJ, Przybyla L, Weaver VM (2017) Tissue force programs cell fate and tumor aggression.
Cancer Discov 7:1224–1237
Omens JH, Fung YC (1990) Residual strain in rat left ventricle. Circ Res 66:37–45
Rausch MK, Dam A, Goktepe S, Abilez OJ, Kuhl E (2011) Computational modeling of growth:
systemic and pulmonary hypertension in the heart. Biomech Model Mechanobiol 10:799–811
Ribatti D, Nico B, Crivellato E (2015) The development of the vascular system: a historical
overview. Methods Mol Biol 1214:1–14
Rodriguez EK, Hoger A, McCulloch AD (1994) Stress-dependent finite growth in soft elastic
tissues. J Biomech 27:455–467
Rowe RW (1969) The effect of hypertrophy on the properties of skeletal muscle. Comput Biochem
Physiol 28:1449–1453
Skalak R (1981) Growth as a finite displacement field. In: Carlson DE, Shield RT (eds) Proceedings
of the IUTAM symposium on finite elasticity. Martinus Nijhoff Publishers, The Hague, pp 347–
355
Skalak R, Dasgupta G, Moss M, Otten E, Dullemeijer P, Vilmann H (1982) Analytical description
of growth. J Theor Biol 94:555–577
Skalak R, Farrow DA, Hoger A (1997) Kinematics of surface growth. J Math Biol 35:869–907
Steucke KE, Win Z, Stemler TR, Walsh EE, Hall JL, Alford PW (2017) Empirically determined
vascular smooth muscle cell mechano-adaptation law. J Biomech Eng 139: 071005
Sugimura K, Lenne PF, Graner F (2016) Measuring forces and stresses in situ in living tissues.
Development 143:186–196
Szczesny SE, Mauck RL (2017) The nuclear option: evidence implicating the cell nucleus in
mechanotransduction. J Biomech Eng 139(2): 021006
Taber LA (1995) Biomechanics of growth, remodeling, and morphogenesis. Appl Mech Rev
48:487–545
Taber LA, Humphrey JD (2001) Stress-modulated growth, residual stress, and vascular heterogeneity. J Biomech Eng 123:528–535
Thoma R (1893) Untersuchungen uber die histogenese und histomechanik des gefassystems. Enke
Verlag, Stuttgart
Tozeren A, Skalak R (1988) Interaction of stress and growth in a fibrous tissue. J Theor Biol
130:337–350
Vaishnav RN, Vossoughi J (1983) Estimation of residual strains in aortic segments. In: Hall, CW
(ed) Recent developments in biomedical engineering. Pergamon Press, New York, pp 330–333
Vaishnav RN, Vossoughi J (1987) Residual stress and strain in aortic segments. J Biomech 20:235–
239
Varner VD, Voronov DA, Taber LA (2010) Mechanics of head fold formation: investigating tissuelevel forces during early development. Development 137:3801–3811
Vossoughi J, Hedjazi Z, Borris FS, Langrana NA, Friedman MH, Grood ES (1993) Intimal residual
stress and strain in large arteries. In: Proceedings of the summer bioengineering conference.
ASME, New York, pp 434–437
Woods RH (1892) A few applications of a physical theorem to membranes in the human body in a
state of tension. J Anat Physiol 26:362–370
Wyczalkowski MA, Varner VD, Taber LA (2013). Computational and experimental study of the
mechanics of embryonic wound healing. J Mech Behav Biomed Mater 28:125–146
Xu G, Bayly PV, Taber LA (2009) Residual stress in the adult mouse brain. Biomech Model
Mechanobiol 8:253–262
Xue SL, Li B, Feng XQ, Gao HJ (2016) Biochemomechanical poroelastic theory of avascular
tumor growth. J Mech Phys Solids 94:409–432.
Zamir EA, Taber LA (2004). Material properties and residual stress in the stage 12 chick heart
during cardiac looping. J Biomech Eng 126:823–830
Zhu C (2014) Mechanochemistry: a molecular biomechanics view of mechanosensing. Ann
Biomed Eng 42:388–404
6 Growth
Nelson D (2013) Review of methods for determining residual stresses in biological materials.
Springer, New York, pp 173–182
Northey JJ, Przybyla L, Weaver VM (2017) Tissue force programs cell fate and tumor aggression.
Cancer Discov 7:1224–1237
Omens JH, Fung YC (1990) Residual strain in rat left ventricle. Circ Res 66:37–45
Rausch MK, Dam A, Goktepe S, Abilez OJ, Kuhl E (2011) Computational modeling of growth:
systemic and pulmonary hypertension in the heart. Biomech Model Mechanobiol 10:799–811
Ribatti D, Nico B, Crivellato E (2015) The development of the vascular system: a historical
overview. Methods Mol Biol 1214:1–14
Rodriguez EK, Hoger A, McCulloch AD (1994) Stress-dependent finite growth in soft elastic
tissues. J Biomech 27:455–467
Rowe RW (1969) The effect of hypertrophy on the properties of skeletal muscle. Comput Biochem
Physiol 28:1449–1453
Skalak R (1981) Growth as a finite displacement field. In: Carlson DE, Shield RT (eds) Proceedings
of the IUTAM symposium on finite elasticity. Martinus Nijhoff Publishers, The Hague, pp 347–
355
Skalak R, Dasgupta G, Moss M, Otten E, Dullemeijer P, Vilmann H (1982) Analytical description
of growth. J Theor Biol 94:555–577
Skalak R, Farrow DA, Hoger A (1997) Kinematics of surface growth. J Math Biol 35:869–907
Steucke KE, Win Z, Stemler TR, Walsh EE, Hall JL, Alford PW (2017) Empirically determined
vascular smooth muscle cell mechano-adaptation law. J Biomech Eng 139: 071005
Sugimura K, Lenne PF, Graner F (2016) Measuring forces and stresses in situ in living tissues.
Development 143:186–196
Szczesny SE, Mauck RL (2017) The nuclear option: evidence implicating the cell nucleus in
mechanotransduction. J Biomech Eng 139(2): 021006
Taber LA (1995) Biomechanics of growth, remodeling, and morphogenesis. Appl Mech Rev
48:487–545
Taber LA, Humphrey JD (2001) Stress-modulated growth, residual stress, and vascular heterogeneity. J Biomech Eng 123:528–535
Thoma R (1893) Untersuchungen uber die histogenese und histomechanik des gefassystems. Enke
Verlag, Stuttgart
Tozeren A, Skalak R (1988) Interaction of stress and growth in a fibrous tissue. J Theor Biol
130:337–350
Vaishnav RN, Vossoughi J (1983) Estimation of residual strains in aortic segments. In: Hall, CW
(ed) Recent developments in biomedical engineering. Pergamon Press, New York, pp 330–333
Vaishnav RN, Vossoughi J (1987) Residual stress and strain in aortic segments. J Biomech 20:235–
239
Varner VD, Voronov DA, Taber LA (2010) Mechanics of head fold formation: investigating tissuelevel forces during early development. Development 137:3801–3811
Vossoughi J, Hedjazi Z, Borris FS, Langrana NA, Friedman MH, Grood ES (1993) Intimal residual
stress and strain in large arteries. In: Proceedings of the summer bioengineering conference.
ASME, New York, pp 434–437
Woods RH (1892) A few applications of a physical theorem to membranes in the human body in a
state of tension. J Anat Physiol 26:362–370
Wyczalkowski MA, Varner VD, Taber LA (2013). Computational and experimental study of the
mechanics of embryonic wound healing. J Mech Behav Biomed Mater 28:125–146
Xu G, Bayly PV, Taber LA (2009) Residual stress in the adult mouse brain. Biomech Model
Mechanobiol 8:253–262
Xue SL, Li B, Feng XQ, Gao HJ (2016) Biochemomechanical poroelastic theory of avascular
tumor growth. J Mech Phys Solids 94:409–432.
Zamir EA, Taber LA (2004). Material properties and residual stress in the stage 12 chick heart
during cardiac looping. J Biomech Eng 126:823–830
Zhu C (2014) Mechanochemistry: a molecular biomechanics view of mechanosensing. Ann
Biomed Eng 42:388–404