Computational models for mechanics of morphogenesis

Birth Defects Research Part C - Embryo Today: Reviews

Volumn 96, Issue 2, 2012, Pages 132-152

  Wyczalkowski, Matthew A ^a   Chen, Zi ^a   Filas, Benjamen A ^b   Varner, Victor D ^c   Taber, Larry A ^a  

^a WASHINGTON UNIVERSITY IN ST LOUIS   (United States)

^b WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

^c Princeton University   (United States)

Author keywords

Development; Mechanobiology; Morphogenesis; Morphomechanics

Indexed keywords

BIOMECHANICS; BRAIN CORTEX; BRAIN DEVELOPMENT; CELL ADHESION; CELL SELECTION; COMPUTATIONAL MODEL; EMBRYO DEVELOPMENT; EMBRYO PATTERN FORMATION; GASTRULATION; HEART DEVELOPMENT; HUMAN; HYPOTHESIS; INTESTINE; MATHEMATICAL MODEL; MORPHOGENESIS; NEURULATION; NONHUMAN; PRIORITY JOURNAL; REVIEW; SOFT TISSUE; THEORETICAL MODEL; WOUND HEALING;

ANIMALS; BIOMECHANICS; CHICK EMBRYO; COMPUTER SIMULATION; EMBRYONIC DEVELOPMENT; HUMANS; MODELS, BIOLOGICAL; MORPHOGENESIS;

EID: 84862244623     PISSN: 1542975X     EISSN: 15429768     Source Type: Journal    
DOI: 10.1002/bdrc.21013     Document Type: Review

References (191)

1. Affolter M, Zeller R, Caussinus E. 2009. Tissue remodelling through branching morphogenesis. Nat Rev Mol Cell Biol 10: 831-842.
2. Allena R, Mouronval AS, Aubry D. 2010. Simulation of multiple morphogenetic movements in the Drosophila embryo by a single 3d finite element model. J Mech Behav Biomed Mater 3: 313-323.
3. Ambrosi D, Ateshian GA, Arruda EM, et al. 2011. Perspectives on biological growth and remodeling. J Mech Phys Solids 59: 863-883.
4. Ambrosi D, Bussolino F, Preziosi L. 2005. A review of vasculogenesis models. Comput Math Method Med 6: 1-19.
5. Ausprunk DH, Folkman J. 1977. Migration and proliferation of endothelial cells in preformed and newly formed blood vessels during tumor angiogenesis. Microvascular research 14: 53-65.
6. Balfour FM. 1881. A treatise on comparative embryology. London: MacMillan and Co.
7. Bard J. 1990. Morphogenesis: the cellular and molecular processes of developmental anatomy. New York: Cambridge University Press.
8. Barron DH. 1950. An experimental analysis of some factors involved in the development of the fissure pattern of the cerebral cortex. J Exp Zool 113: 553-573.
9. Bathe KJ. 1996. Finite element procedures. Englewood Cliffs, NJ: Cambridge University Press.
10. Belintsev BN, Beloussov LV, Zaraisky AG. 1987. Model of pattern formation in epithelial morphogenesis. J Theor Biol 129: 369-394.
11. Beloussov LV. 1998. The dynamic architecture of a developing organism: an interdisciplinary approach to the development of organisms. Dordrecht, the Netherlands: Kluwer.
12. Beloussov LV. 2008. Mechanically based generative laws of morphogenesis. Phys Biol 5: 15009.
13. Beloussov LV, Dorfman JG, Cherdantzev VG. 1975. Mechanical stresses and morphological patterns in amphibian embryos. J Embryol Exp Morphol 34: 559-574.
14. Beloussov LV, Grabovsky VI. 2006. Morphomechanics: goals, basic experiments and models. Int J Dev Biol 50: 81-92.
15. Beloussov LV, Grabovsky VI. 2007. Information about a form (on the dynamic laws of morphogenesis). BioSystems 87: 204-214.
16. Beloussov LV, Saveliev SV, Naumidi II, Novoselov VV. 1994. Mechanical stresses in embryonic tissues: patterns, morphogenetic role, and involvement in regulatory feedback. Int Rev Cytol 150: 1-34.
17. Blanchard GB, Adams RJ. 2011. Measuring the multi-scale integration of mechanical forces during morphogenesis. Curr Opin Genet Dev 21: 653-663.
18. Blankenship JT, Backovic ST, Sanny JSP, et al. 2006. Multicellular rosette formation links planar cell polarity to tissue morphogenesis. Dev Cell 11: 459-70.
19. Brodland GW. 2002. The differential interfacial tension hypothesis (DITH): a comprehensive theory for the self-rearrangement of embryonic cells and tissues. J Biomech Eng 124: 188-197.
20. Brodland GW. 2004. Computational modeling of cell sorting, tissue engulfment, and related phenomena: a review. Appl Mech Rev 57: 47-76.
21. Brodland GW. 2006. Do lamellipodia have the mechanical capacity to drive convergent extension? Int J Dev Biol 50: 151-155.
22. Brodland GW, Chen HH. 2000. The mechanics of cell sorting and envelopment. J Biomech 33: 845-851.
23. Brodland GW, Chen X, Lee P, Marsden M. 2010. From genes to neural tube defects (NTDs): insights from multiscale computational modeling. HFSP J 4: 142-152.
24. Brodland GW, Clausi DA. 1994. Embryonic tissue morphogenesis modeled by FEM. J Biomech Eng 116: 146-155.
25. Brodland GW, Clausi DA. 1995. Cytoskeletal mechanics of neurulation: insights obtained from computer simulations. Biochem Cell Biol 73: 545-553.
26. Brodland GW, Veldhuis JH. 2006. Lamellipodium-driven tissue reshaping: a parametric study. Comput Methods Biomech Biomed Eng 9: 17-23.
27. Brouzés E, Supatto W, Farge E. 2004. Is mechano-sensitive expression of twist involved in mesoderm formation? Biol Cell 96: 471-477.
28. Butler JK. 1952. An experimental analysis of cardiac loop formation in the chick. PhD thesis. University of Texas, Texas.
29. Chen HH, Brodland GW. 2000. Cell-level finite element studies of viscous cells in planar aggregates. J Biomech Eng 122: 394-401.
30. Chen X, Brodland GW. 2008. Multi-scale finite element modeling allows the mechanics of amphibian neurulation to be elucidated. Phys Biol 5: 15003.
31. Clausi DA, Brodland GW. 1993. Mechanical evaluation of theories ofneurulation using computer simulations. Development 118: 1013-1023.
32. Colas JF, Schoenwolf GC. 2001. Towards a cellular and molecular understanding of neurulation. Dev Dyn 221: 117-145.
33. Conte V, Munoz JJ, Baum B, Miodownik M. 2009. Robust mechanisms of ventral furrow invagination require the combination of cellular shape changes. Phys Biol 6: 016010.
34. Conte V, Muñoz JJ, Miodownik M. 2008. A 3D finite element model of ventral furrow invagination in the Drosophila melanogaster embryo. J Mech Behav Biomed Mater 1: 188-198.
35. Davidson LA. 2008. Integrating morphogenesis with underlying mechanics and cell biology. Curr Top Dev Biol 81: 113-133.
36. Davidson LA, Ezin AM, Keller R. 2002. Embryonic wound healing by apical contraction and ingression in Xenopus laevis. Cell Motil Cytoskel 53: 163-176.
37. Davidson LA, Keller R. 2007. Measuring mechanical properties of embryos and embryonic tissues. Method Cell Biol 83: 425-439.
38. Davidson LA, Koehl MA, Keller R, Oster GF. 1995. How do sea urchins invaginate? Using biomechanics to distinguish between mechanisms of primary invagination. Development 121: 2005-2018.
39. Davidson LA, Oster GF, Keller RE, Koehl MA. 1999. Measurements of mechanical properties of the blastula wall reveal which hypothesized mechanisms of primary invagination are physically plausible in the sea urchin Strongylocentrotus purpuratus. Dev Biol 209: 221-238.
40. Davidson LA, von Dassow M, Zhou J. 2009. Multi-scale mechanics from molecules to morphogenesis. Int J Biochem Cell Biol 41: 2147-2162.
41. Davies JA. 2005. Mechanisms of morphogenesis: the creation of biological form. Burlington, MA: Elsevier Academic Press.
42. Davis NM, Kurpios NA, Sun X, et al. 2008. The chirality of gut rotation derives from left-right asymmetric changes in the architecture of the dorsal mesentery. Dev Cell 15: 134-145.
43. Dawes-Hoang RE, Parmar KM, Christiansen AE, et al. 2005. Folded gastrulation, cell shape change and the control of myosin localization. Development 132: 4165-4178.
44. Desmond ME, Jacobson AG. 1977. Embryonic brain enlargement requires cerebrospinal fluid pressure. Dev Biol 57: 188-198.
45. Desmond ME, Levitan ML, Haas AR. 2005. Internal luminal pressure during early chick embryonic brain growth: descriptive and empirical observations. Anat Rec A Discov Mol Cell Evol Biol 285: 737-747.
46. Desprat N, Supatto W, Pouille PA, et al. 2008. Tissue deformation modulates twist expression to determine anterior midgut differentiation in Drosophila embryos. Dev Cell 15: 470-477.
47. Driquez B, Bouclet A, Farge E. 2011. Mechanotransduction in mechanically coupled pulsating cells: transition to collective constriction and mesoderm invagination simulation. Phys Biol 8: 066007.
48. Engler AJ, Sen S, Sweeney HL, Discher DE. 2006. Matrix elasticity directs stem cell lineage specification. Cell 126: 677-689.
49. Eyckmans J, Boudou T, Yu X, Chen CS. 2011. A hitchhiker's guide to mechanobiology. Dev Cell 21: 35-47.
50. Farge E. 2003. Mechanical induction of twist in the Drosophila foregut/stomodeal primordium. Curr Biol 13: 1365-1377.
51. Fernandez-Gonzalez R, Simoes SdM, Röper JC, et al. 2009. Myosin II dynamics are regulated by tension in intercalating cells. Dev Cell 17: 736-743.
52. Filas BA, Bayly PV, Taber LA. 2011. Mechanical stress as a regulator of cytoskeletal contractility and nuclear shape in embryonic epithelia. Ann Biomed Eng 39: 443-454.
53. Filas B, Oltean A, Beebe D, et al. 2012. A potential role for differential contractility in early brain development and evolution. Biomech Model Mechanobiol. DOI: 10.1007/s10237-012-0389-4.
54. Fleury V. 2011. A change in boundary conditions induces a discontinuity of tissue flow in chicken embryos and the formation of the cephalic fold. Eur Phys J E 34: 1-13.
55. Forgacs G, Foty RA, Shafrir Y, Steinberg MS. 1998. Viscoelastic properties of living embryonic tissues: a quantitative study. Biophys J 74: 2227-2234.
56. Forgacs G, Newman SA. 2005. Biological physics of the developing embryo. New York: Cambridge University Press.
57. Friedl P. 2004. Prespecification and plasticity: shifting mechanisms of cell migration. Curr Opin Cell Biol 16: 14-23.
58. Garcia-Fernandez B, Campos I, Geiger J, et al. 2009. Epithelial resealing. Int J Dev Biol 53: 1549-1556.
59. Gierer A, Meinhardt H. 1972. A theory of biological pattern formation. Kybernetik 12: 30-39.
60. Gilbert SF. 2000. Developmental biology. 6th ed. Sunderland, MA: Sinauer Associates.
61. Gjorevski N, Nelson CM. 2010. Endogenous patterns of mechanical stress are required for branching morphogenesis. Integr Biol 2: 424-434.
62. Gorfinkiel N, Schamberg S, Blanchard GB. 2011. Integrative approaches to morphogenesis: lessons from dorsal closure. Genesis 49: 522-533.
63. Grashoff C, Hoffman BD, Brenner MD, et al. 2010. Measuring mechanical tension across vinculin reveals regulation of focal adhesion dynamics. Nature 466: 263-266.
64. Grumbling G, Strelets V. 2006. FlyBase: anatomical data, images and queries. Nucleic Acids Res 34: D484-D488.
65. Harrington MJ, Hong E, Brewster R. 2009. Comparative analysis of neurulation: first impressions do not count. Mol Reprod Dev 76: 954-65.
66. Harris AK, Wild P, Stopak D. 1980. Silicone rubber substrata: a new wrinkle in the study of cell locomotion. Science 208: 177-179.
67. Holmes MJ, Sleeman BD. 2000. A mathematical model of tumour angiogenesis incorporating cellular traction and viscoelastic effects. J Theor Biol 202: 95-112.
68. Horne-Badovinac S, Rebagliati M, Stainier DYR. 2003. A cellular framework for gut-looping morphogenesis in zebrafish. Science 302: 662-665.
69. Hove JR, Köster RW, Forouhar AS, et al. 2003. Intracardiac fluid forces are an essential epigenetic factor for embryonic cardiogenesis. Nature 421: 172-177.
70. Howard J, Grill SW, Bois JS. 2011. Turing's next steps: the mechanochemical basis of morphogenesis. Nat Rev Mol Cell Biol 12: 392-398.
71. Hutson MS, Ma X. 2008. Mechanical aspects of developmental biology: perspectives on growth and form in the (post)-genomic age. Phys Biol 5: 015001.
72. Hutson MS, Tokutake Y, Chang MS, et al. 2003. Forces for morphogenesis investigated with laser microsurgery and quantitative modeling. Science 300: 145-149.
73. Itasaki N, Nakamura H, Sumida H, Yasuda M. 1991. Actin bundles on the right side in the caudal part of the heart tube play a role in dextro-looping in the embryonic chick heart. Anat Embryol 183: 29-39.
74. Itasaki N, Nakamura H, Yasuda M. 1989. Changes in the arrangement of actin bundles during heart looping in the chick embryo. Anat Embryol 180: 413-420.
75. Jacinto A, Martinez-Arias A, Martin P. 2001. Mechanisms of epithelial fusion and repair. Nat Cell Biol 3: E117-E123.
76. Jacobson AG, Gordon R. 1976. Changes in the shape of the developing vertebrate nervous system analyzed experimentally, mathematically, and by computer simulation. J Exp Zool 197: 191-246.
77. Jacobson AG, Oster GF, Odell GM, Cheng LY. 1986. Neurulation and the cortical tractor model for epithelial folding. J Embryol Exp Morphol 96: 19-49.
78. Keller R, Davidson L, Edlund A, et al. 2000. Mechanisms of convergence and extension by cell intercalation. Philos T R Soc B 355: 897-922.
79. Keller R, Shook D, Skoglund P. 2008. The forces that shape embryos: physical aspects of convergent extension by cell intercalation. Phys Biol 5: 015007.
80. Kiehart DP. 1999. Wound healing: the power of the purse string. Curr Biol 9: R602-R605.
81. Kiehart DP, Galbraith CG, Edwards KA, et al. 2000. Multiple forces contribute to cell sheet morphogenesis for dorsal closure in Drosophila. J Cell Biol 149: 471-490.
82. Koehl MAR. 1990. Biomechanical approaches to morphogenesis. Sem Dev Biol 1: 367-378.
83. Kondo S, Miura T. 2010. Reaction-diffusion model as a framework for understanding biological pattern formation. Science 329: 1616-1620.
84. Kornikova ES, Troshina TG, Kremnyov SV, Beloussov LV. 2010. Neuro-mesodermal patterns in artificially deformed embryonic explants: a role for mechano-geometry in tissue differentiation. Dev Dyn 239: 885-896.
85. Kroenke CD, Taber EN, Leigland LA, et al. 2009. Regional patterns of cerebral cortical differentiation determined by diffusion tensor MRI. Cereb Cortex 19: 2916-2929.
86. Kurpios NA, Ibañes M, Davis NM, et al. 2008. The direction of gut looping is established by changes in the extracellular matrix and in cell: cell adhesion. Proc Natl Acad Sci USA 105: 8499-8506.
87. Lai WM, Rubin D, Krempl E. 2009. Introduction to continuum mechanics. 4th ed. Burlington, MA: Butterworth-Heinemann.
88. Latacha KS, Rémond MC, Ramasubramanian A, et al. 2005. Role of actin polymerization in bending of the early heart tube. Dev Dyn 233: 1272-1286.
89. Lawson A, Anderson H, Schoenwolf GC. 2001. Cellular mechanisms of neural fold formation and morphogenesis in the chick embryo. Anat Rec 262: 153-168.
90. Layton AT, Toyama Y, Yang GQ, et al. 2009. Drosophila morphogenesis: tissue force laws and the modeling of dorsal closure. HFSP J 3: 441-460.
91. Lecuit T, Lenne PF. 2007. Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis. Nat Rev Mol Cell Biol 8: 633-644.
92. Leptin M. 1995. Drosophila gastrulation: from pattern formation to morphogenesis. Annu Rev Cell Dev Biol 11: 189-212.
93. Leptin M. 2005. Gastrulation movements: the logic and the nuts and bolts. Dev Cell 8: 305-320.
94. Levayer R, Lecuit T. 2012. Biomechanical regulation of contractility: spatial control and dynamics. Trends Cell Biol 22: 61-81.
95. Lewis WH. 1947. Mechanics of invagination. Anat Rec 97: 139-156.
96. Lodish H, Berk A, Matsudaira P, et al. 2004. Molecular cell biology. 5th ed. New York: W.H. Freeman and Company.
97. Lowery LA, Sive H. 2004. Strategies of vertebrate neurulation and a re-evaluation of teleost neural tube formation. Mech Dev 121: 1189-1197.
98. Lubkin SR, Li Z. 2002. Force and deformation on branching rudiments: cleaving between hypotheses. Biomech Model Mechanobiol 1: 5-16.
99. Lye CM, Sanson B. 2011. Tension and epithelial morphogenesis in Drosophila early embryos. Curr Top Dev Biol 95: 145-187.
100. Maini PK. 2004. Using mathematical models to help understand biological pattern formation. C R Biol 327: 225-234.
101. Mammoto T, Ingber DE. 2010. Mechanical control of tissue and organ development. Development 137: 1407-1420.
102. Manasek FJ, Burnside MB, Waterman RE. 1972. Myocardial cell shape change as a mechanism of embryonic heart looping. Dev Biol 29: 349-371.
103. Manasek FJ, Isobe Y, Shimada Y. 1984a. The embryonic myocardial cytoskeleton, interstitial pressure, and the control of morphogenesis. Nora J, editor. In: congenital heart disease: causes and processes. Mount Kisco, NY: Futura Publishing. pp. 359-376.
104. Manasek FJ, Kulikowski RR, Nakamura A, et al. 1984b. Early heart development: a new model of cardiac morphogenesis. Zak R, editor. In: Growth of the heart in health and disease. New York: Raven Press.
105. Männer J. 2000. Cardiac looping in the chick embryo: a morphological review with special reference to terminological and biomechanical aspects of the looping process. Anat Rec 259: 248-262.
106. Manning A, McLachlan JC. 1990. Looping of chick embryo hearts in vitro. J Anat 168: 257-263.
107. Manoussaki D, Lubkin SR, Vernon RB, Murray JD. 1996. A mechanical model for the formation of vascular networks in vitro. Acta Biotheor 44: 271-282.
108. Martin AC. 2010. Pulsation and stabilization: contractile forces that underlie morphogenesis. Dev Biol 341: 114-125.
109. Martin AC, Gelbart M, Fernandez-Gonzalez R, et al. 2010. Integration of contractile forces during tissue invagination. J Cell Biol 188: 735-749.
110. Martin P, Lewis J. 1992. Actin cables and epidermal movement in embryonic wound healing. Nature 360: 179-183.
111. Martin P, Parkhurst SM. 2004. Parallels between tissue repair and embryo morphogenesis. Development 131: 3021-3034.
112. McCluskey J, Martin P. 1995. Analysis of the tissue movements of embryonic wound healing-DiI studies in the limb bud stage mouse embryo. Dev Biol 170: 102-114.
113. Meng F, Sachs F. 2011. Visualizing dynamic cytoplasmic forces with a compliance-matched FRET sensor. J Cell Sci 124: 261-269.
114. Moury JD, Schoenwolf GC. 1995. Cooperative model of epithelial shaping and bending during avian neurulation: autonomous movements of the neural plate, autonomous movements of the epidermis, and interactions in the neural plate/epidermis transition zone. Dev Dyn 204: 323-337.
115. Muñoz JJ, Barrett K, Miodownik M. 2007. A deformation gradient decomposition method for the analysis of the mechanics of morphogenesis. J Biomech 40: 1372-1380.
116. Murray J. 2003a. Epidermal wound healing. In: Mathematical biology II: spatial models and biomedical applications. New York: Springer. pp. 441-490.
117. Murray JD. 2003b. On the mechanochemical theory of biological pattern formation with application to vasculogenesis. C R Biol 326: 239-252.
118. Murray JD, Oster GF. 1984. Generation of biological pattern and form. Math Med Biol 1: 51-75.
119. Namy P, Ohayon J, Tracqui P. 2004. Critical conditions for pattern formation and in vitro tubulogenesis driven by cellular traction fields. J Theor Biol 227: 103-120.
120. Neal J, Takahashi M, Silva M, et al. 2007. Insights into the gyrification of developing ferret brain by magnetic resonance imaging. J Anat 210: 66-77.
121. Nelson C, Jean R, Tan J, et al. 2005. Emergent patterns of growth controlled by multicellular form and mechanics. Proc Natl Acad Sci USA 102: 11594-11599.
122. Nie J, Guo L, Li G, et al. 2010. A computational model of cerebral cortex folding. J Theor Biol 264: 467-478.
123. Nikolaidou KK, Barrett K. 2004. A rho gtpase signaling pathway is used reiteratively in epithelial folding and potentially selects the outcome of Rho activation. Curr Biol 14: 1822-1826.
124. Odell GM, Oster G, Alberch P, Burnside B. 1981. The mechanical basis of morphogenesis. I. Epithelial folding and invagination. Dev Biol 85: 446-462.
125. Oster GF. 1984. On the crawling of cells. J Embryol Exp Morph 83( Suppl): 329-364.
126. Oster GF, Murray JD, Harris AK. 1983. Mechanical aspects of mesenchymal morphogenesis. J Embryol Exp Morph 78: 83-125.
127. Painter KJ. 2009. Modelling cell migration strategies in the extracellular matrix. J Math Biol 58: 511-543.
128. Patten BM. 1922. The formation of the cardiac loop in the chick. Am J Anat 30: 373-397.
129. Patten BM. 1971. Early embryology of the chick. New York: McGraw-Hill.
130. Peralta XG, Toyama Y, Hutson MS, et al. 2007. Upregulation of forces and morphogenic asymmetries in dorsal closure during Drosophila development. Biophys J 92: 2583-2596.
131. Peralta XG, Toyama Y, Kiehart DP, Edwards GS. 2008. Emergent properties during dorsal closure in Drosophila morphogenesis. Phys Biol 5: 015004.
132. Phillips HM, Steinberg MS, Lipton BH. 1977. Embryonic tissues as elasticoviscous liquids. II. Direct evidence for cell slippage in centrifuged aggregates. Dev Biol 59: 124-134.
133. Pouille PA, Ahmadi P, Brunet AC, Farge E. 2009. Mechanical signals trigger myosin II redistribution and mesoderm invagination in Drosophila embryos. Sci Signal 2: ra16.
134. Pouille PA, Farge E. 2008. Hydrodynamic simulation of multicellular embryo invagination. Phys Biol 5: 015005.
135. Ramasubramanian A, Latacha KS, Benjamin JA, et al. 2006. Computational model for early cardiac looping. Ann Biomed Eng 34: 1355-1369.
136. Ramasubramanian A, Nerurkar NL, Achtien KH, et al. 2008. On modeling morphogenesis of the looping heart following mechanical perturbations. J Biomech Eng 130: 061018.
137. Ramasubramanian A, Taber LA. 2008. Computational modeling of morphogenesis regulated by mechanical feedback. Biomech Model Mechanobiol 7: 77-91.
138. Rauzi M, Lenne PF. 2011. Cortical forces in cell shape changes and tissue morphogenesis. Curr Top Dev Biol 95: 93-144.
139. Rauzi M, Verant P, Lecuit T, Lenne PF. 2008. Nature and anisotropy of cortical forces orienting Drosophila tissue morphogenesis. Nat Cell Biol 10: 1401-1410.
140. Reddy JN. 1993. An introduction to the finite element method. New York: McGraw-Hill, Inc.
141. Reillo I, de Juan Romero C, García-Cabezas MÁ, Borrell V. 2011. A role for intermediate radial glia in the tangential expansion of the mammalian cerebral cortex. Cereb Cortex 21: 1674-1694.
142. Rémond MC, Fee JA, Elson EL, Taber LA. 2006. Myosin-based contraction is not necessary for cardiac c-looping in the chick embryo. Anat Embryol 211: 443-454.
143. Ren Y, Effler JC, Norstrom M, et al. 2009. Mechanosensing through cooperative interactions between myosin II and the actin crosslinker cortexillin I. Curr Biol 19: 1421- 1428.
144. Richman DP, Stewart RM, Hutchinson JW, Caviness VSJr. 1975. Mechanical model of brain convolutional development. Science 189: 18-21.
145. Rodriguez EK, Hoger A, McCulloch AD. 1994. Stress-dependent finite growth in soft elastic tissues. J Biomech 27: 455-467.
146. Romanoff AL. 1960. The avian embryo: structural and functional development. New York: Macmillan.
147. Sadovsky A, Wan FYM. 2007. The elastodynamics of embryonic epidermal wound closure. Stud Appl Math 118: 365-395.
148. Sato Y, Poynter G, Huss D, et al. 2010. Dynamic analysis of vascular morphogenesis using transgenic quail embryos. PLoS ONE 5: e12674.
149. Savin T, Kurpios NA, Shyer AE, et al. 2011. On the growth and form of the gut. Nature 476: 57-62.
150. Schoenwolf GC, Smith JL. 2000. Gastrulation and early mesodermal patterning in vertebrates. Methods Mol Biol 135: 113-25.
151. Serini G, Ambrosi D, Giraudo E, et al. 2003. Modeling the early stages of vascular network assembly. EMBO J 22: 1771-1779.
152. Sherrard K, Robin F, Lemaire P, Munro E. 2010. Sequential activation of apical and basolateral contractility drives ascidian endoderm invagination. Curr Biol 20: 1499-1510.
153. Sherratt JA, Martin P, Murray JD, Lewis J. 1992. Mathematical models of wound healing in embryonic and adult epidermis. IMA J Math Appl Med Biol 9: 177-196.
154. Shiraishi I, Takamatsu T, Minamikawa T, Fujita S. 1992. 3-D observation of actin filaments during cardiac myofibrinogenesis in chick embryo using a confocal laser scanning microscope. Anat Embryol 185: 401-408.
155. Shore TW, Pickering JW. 1889. The proamnion and amnion in the chick. J Anat Physiol 24: 1-21.
156. Sissman NJ. 1966. Cell multiplication rates during development of the primitive cardiac tube in the chick embryo. Nature 210: 504-507.
157. Solon J, Kaya-Copur A, Colombelli J, Brunner D. 2009. Pulsed forces timed by a ratchet-like mechanism drive directed tissue movement during dorsal closure. Cell 137: 1331-1342.
158. Sonnemann KJ, Bement WM. 2011. Wound repair: toward understanding and integration of single-cell and multicellular wound responses. Annu Rev Cell Dev Biol 27: 237-263.
159. Spitzer A, Lev M. 1951. The architecture of normal and malformed hearts, vol. 45. Springfield, IL: Thomas.
160. Stalsberg H. 1969. Regional mitotic activity in the precardiac mesoderm and differentiating heart tube in the chick embryo. Dev Biol 20: 18-45.
161. Stalsberg H, DeHaan RL. 1968. Endodermal movements during foregut formation in the chick embryo. Dev Biol 18: 198-215.
162. Stalsberg H, DeHaan RL. 1969. The precardiac areas and formation of the tubular heart in the chick embryo. Dev Biol 19: 128-59.
163. Steinberg MS. 1963. Reconstruction of tissues by dissociated cells. Some morphogenetic tissue movements and the sorting out of embryonic cells may have a common explanation. Science 141: 401-408.
164. Steinberg MS. 2007. Differential adhesion in morphogenesis: a modern view. Curr Opin Genet Dev 17: 281-286.
165. Stylianopoulos T, Barocas VH. 2007. Multiscale, structure-based modeling for the elastic mechanical behavior of arterial walls. J Biomech Eng 129: 611-618.
166. Taber LA. 1995. Biomechanics of growth, remodeling, and morphogenesis. Appl Mech Rev 48: 487-545.
167. Taber LA. 2006. Biophysical mechanisms of cardiac looping. Int J Dev Biol 50: 323-332.
168. Taber LA. 2008. Theoretical study of Beloussov's hyper-restoration hypothesis for mechanical regulation of morphogenesis. Biomech Model Mechanobiol 7: 427-441.
169. Taber LA. 2009. Towards a unified theory for morphomechanics. Philos T R Soc A 367: 3555-3583.
170. Taber LA, Lin IE, Clark EB. 1995. Mechanics of cardiac looping. Dev Dyn 203: 42-50.
171. Taniguchi K, Maeda R, Ando T, et al. 2011. Chirality in planar cell shape contributes to left-right asymmetric epithelial morphogenesis. Science 333: 339-341.
172. Thompson DW. 1942. On growth and form. Cambridge: Cambridge University Press.
173. Toro R, Burnod Y. 2005. A morphogenetic model for the development of cortical convolutions. Cereb Cortex 15: 1900-1913.
174. Tosin A, Ambrosi D, Preziosi L. 2006. Mechanics and chemotaxis in the morphogenesis of vascular networks. Bull Math Biol 68: 1819-1836.
175. Trinkaus JP. 1984. Cells into organs: the forces that shape the embryo. Englewood Cliffs, NJ: Prentice Hall.
176. Turing AM. 1952. The chemical basis of morphogenesis. Philos T R Soc B 237: 37-72.
177. Urdy S. 2012. On the evolution of morphogenetic models: mechano-chemical interactions and an integrated view of cell differentiation, growth, pattern formation and morphogenesis. Biol Rev. DOI: 10.1111/j.1469-185X.2012.00221.x.
178. Vailhé B, Vittet D, Feige JJ. 2001. In vitro models of vasculogenesis and angiogenesis. Lab Invest 81: 439-452.
179. Varner VD, Taber LA. 2010. On measuring stress distributions in epithelia. In: Garikipati K, Arruda EM, editors. IUTAM symposium on cellular, molecular and tissue mechanics. Netherlands: Springer. pp. 45-54.
180. Varner VD, Voronov DA, Taber LA. 2010. Mechanics of head fold formation: investigating tissue-level forces during early development. Development 137: 3801-3811.
181. Vernon RB, Lara SL, Drake CJ, et al. 1995. Organized type I collagen influences endothelial patterns during "spontaneous angiogenesis in vitro": planar cultures as modelsof vascular development. In Vitro Cell Dev Biol Anim 31: 120-131.
182. Vogel V, Sheetz M. 2006. Local force and geometry sensing regulate cell functions. Nat Rev Mol Cell Biol 7: 265-275.
183. Voronov DA, Alford PW, Xu G, Taber LA. 2004. The role of mechanical forces in dextral rotation during cardiac looping in the chick embryo. Dev Biol 272: 339-350.
184. Wan X, Li Z, Lubkin SR. 2008. Mechanics of mesenchymal contribution to clefting force in branching morphogenesis. Biomech Model Mechanobiol 7: 417-426.
185. Weiss PA. 1939. Principles of development: a text in experimental embryology. New York: Henry Holt and Company, Inc.
186. Weliky M, Minsuk S, Keller R, Oster G. 1991. Notochord morphogenesis in Xenopus laevis: simulation of cell behavior underlying tissue convergence and extension. Development 113: 1231-1244.
187. Weliky M, Oster G. 1990. The mechanical basis of cell rearrangement. I. Epithelial morphogenesis during fundulus epiboly. Development 109: 373-386.
188. Wolpert L. 1969. Positional information and the spatial pattern of cellular differentiation. J Theor Biol 25: 1-47.
189. Wood W, Jacinto A, Grose R, et al. 2002. Wound healing recapitulates morphogenesis in Drosophila embryos. Nat Cell Biol 4: 907-912.
190. Wozniak MA, Chen CS. 2009. Mechanotransduction in development: a growing role for contractility. Nat Rev Mol Cell Biol 10: 34-43.
191. Xu G, Kemp PS, Hwu JA, et al. 2010. Opening angles and material properties of the early embryonic chick brain. J Biomech Eng 132: 011005.