Vertex dynamics simulations of viscosity-dependent deformation during tissue morphogenesis

Biomechanics and Modeling in Mechanobiology

Volumn 14, Issue 2, 2015, Pages 413-425

  Okuda, Satoru ^a   Inoue, Yasuhiro ^b   Eiraku, Mototsugu ^a   Adachi, Taiji ^b   Sasai, Yoshiki ^a  

^a RIKEN Center for Biosystems Dynamics Research   (Japan)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

Computational biomechanics; Developmental biomechanics; Dynamic deformation process; Multicellular morphogenesis; Vertex dynamics model; Viscous property

Indexed keywords

BIOMECHANICS; CELL PROLIFERATION; DEFORMATION; FRICTION; MORPHOLOGY; VELOCITY; VISCOSITY;

COMPUTATIONAL BIOMECHANICS; DEFORMATION PROCESS; DEVELOPMENTAL BIOMECHANIC; DYNAMIC DEFORMATION; DYNAMIC DEFORMATION PROCESS; DYNAMICS MODELS; MULTICELLULAR MORPHOGENESIS; TISSUE COMPONENTS; VERTEX DYNAMIC MODEL; VISCOUS PROPERTIES;

TISSUE;

ARTICLE; CELL DIVISION; CELL GROWTH; CELL VACUOLE; EPITHELIUM CELL; EXTRACELLULAR FLUID; FORCE; MODEL; MORPHOGENESIS; PRIORITY JOURNAL; SIMULATION; STRESS; TISSUE MORPHOGENESIS; VELOCITY; VERTEX DYNAMIC MODEL; VISCOSITY; ANATOMY AND HISTOLOGY; BIOLOGICAL MODEL; BIOMECHANICS; COMPUTER SIMULATION; EPITHELIUM; GROWTH, DEVELOPMENT AND AGING;

BIOMECHANICAL PHENOMENA; COMPUTER SIMULATION; EPITHELIUM; MODELS, BIOLOGICAL; MORPHOGENESIS; VISCOSITY;

EID: 84925504430     PISSN: 16177959     EISSN: 16177940     Source Type: Journal    
DOI: 10.1007/s10237-014-0613-5     Document Type: Article

References (37)

1. Borghi N, James Nelson W (2009) Intercellular adhesion in morphogenesis: molecular and biophysical considerations. Curr Top Dev Biol 89:1–32
2. Brochard-Wyart F, de Gennes P-G (2003) Unbinding of adhesive vesicles. Comptes Rendus Phys 4:281–287
3. Cuvelier D, Theory M, Chu YS, Dufour S, Theory JP, Bornens M, Nassoy P, Mahadevan L (2007) The universal dynamics of cell spreading. Curr Biol 17:694–699
4. Dahmann C, Oates AC, Brand M (2011) Boundary formation and maintenance in tissue development. Nat Rev Genet 12(1):43–55
5. Davies JA (2005) Mechanisms of morphogenesis: the creation of biological form. Elsevier, Burlington
6. Davidson L, Keller R (2007) Measuring mechanical properties of embryos and embryonic tissues. Methods Cell Biol 83:425–439
7. Dewey CF Jr, Bussolari SR, Gimbrone MA Jr, Davies PF (1981) The dynamic response of vascular endothelial cells to fluid shear stress. J Biomech Eng 103(3):177–185
8. Eiraku M, Takata N, Ishibashi H, Kawada M, Sakakura E, Okuda S, Sekiguchi K, Adachi T, Sasai Y (2011) Self-organizing optic-cup morphogenesis in three-dimensional culture. Nature 472(7341):51–56
9. Farhadifar R, Röper JC, Aigouy B, Eaton S, Jülicher F (2007) The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing. Curr Biol 17(24):2095–2104
10. Goldstein H, Poole CP, Safko JL (2000) Classical Mechanics, 3rd edn. Addison-Wesley, Boston
11. Hahn C, Schwartz MA(2009) Mechanotransduction in vascular physiology and atherogenesis. Nat Rev Mol Cell Biol 10(1):53–62
12. Hardy RJ (1982) Formulas for determining local properties in molecular-dynamics simulations: Shock waves. J Chem Phys 76(1):622–628
13. He B, Doubrovinski K, Polyakov O, Wieschaus E (2014) Apical constriction drives tissue-scale hydrodynamic flow to mediate cell elongation. Nature. doi:10.1038/nature13070
14. Heisenberg CP, Tada M, Rauch GJ, Saúde L, Concha ML, Geisler R, Stemple DL, Smith JC, Wilson SW (2000) Silberblick/Wnt11 mediates convergent extension movements during zebrafish gastrulation. Nature 405:76–81
15. Hochmuth RM(2000) Micropipette aspiration of living cells. J Biomech 33(1):15–22
16. Honda H, Yamanaka H (1984) A computer simulation of geometrical configurations during cell division. J Theor Biol 106(3):423–435
17. Honda H, Nagai T, Tanemura M (2008) Two different mechanisms of planar cell intercalation leading to tissue elongation. Dev Dyn 237(7):1826–1836
18. Honda H, Tanemura M, Nagai T (2004) A three-dimensional vertex dynamics cell model of space-filling polyhedra simulating cell behavior in a cell aggregate. J Theor Biol 226(4):439–453
19. Ishimoto Y, Morishita Y (submitted) Bubbly vertex dynamics: a dynamical and geometrical model for epithelial tissues with curved cell shapes. arXiv:1405.3839
20. Lecuit T, Lenne PF (2007) Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis. Nat Rev Mol Cell Biol 8(8):633–644
21. Rauzi M, Lenne PF, Lecuit T (2010) Planar polarized actomyosin contractile flows control epithelial junction remodeling. Nature 468(7327):1110–1114
22. Letizia A, Sotillos S, Campuzano S, Llimargas M (2011) Regulated Crb accumulation controls apical constriction and invagination in Drosophila tracheal cells. J Cell Sci 124(2):240–251
23. Lye CM, Sanson B (2011) Tension and epithelial morphogenesis in Drosophila early embryos. Curr Top Dev Biol 95:145–187
24. Mao Y, Tournier AL, Hoppe A, Kester L, Thompson BJ, Tapon N (2013) Differential proliferation rates generate patterns of mechanical tension that orient tissue growth. EMBO J 32(21):2790–2803
25. Metzger RJ, Klein OD, Martin GR, Krasnow MA (2008) The branching programme of mouse lung development. Nature 453(7196):745–750
26. Mittal R and Iaccarino G (2005) Immersed boundary methods. Annu Rev Fluid Mech 37:239–261
27. Odell GM, Oster G, Alberch P, Burnside B (1981) The mechanical basis of morphogenesis. 1. Epithelial folding and invagination. Dev Biol 85(2):446–462
28. Okuda S, Inoue Y, Eiraku M, Sasai Y, Adachi T (2013a) Reversible network reconnection model for simulating large deformation in dynamic tissue morphogenesis. Biomech Model Mechanobiol 12(4):627–644
29. Okuda S, Inoue Y, Eiraku M, Sasai Y, Adachi T (2013b) Modeling cell proliferation for simulating three-dimensional tissue morphogenesis based on a reversible network reconnection framework. Biomech Model Mechanobiol 12(5):987–996
30. Okuda S, Inoue Y, Eiraku M, Sasai Y, Adachi T (2013c) Apical contractility in growing epithelium supports robust maintenance of smooth curvatures against cell-division-induced mechanical disturbance. J Biomech 46(10):1705–1713
31. Osterfield M, Du X, Schüpbach T, Wieschaus E, Shvartsman SY (2013) Three-dimensional epithelial morphogenesis in the developing Drosophila egg. Dev Cell 24(4):400–410
32. Rauzi M, Verant P, Lecuit T, Lenne PF (2008) Nature and anisotropy of cortical forces orienting Drosophila tissue morphogenesis. Nat Cell Biol 10(12):1401–1410
33. Taniguchi K, Maeda R, Ando T, Okumura T, Nakazawa N, Hatori R, Nakamura M, Hozumi S, Fujiwara H, Matsuno K (2011) Chirality in planar cell shape contributes to left-right asymmetric epithelial morphogenesis. Science 333(6040):339–341
34. Unterberger MJ, Schmoller KM, Wurm C, Bausch AR, Holzapfel GA (2013) Viscoelasticity of cross-linked actin networks: experimental tests, mechanical modeling and finite-element analysis. Acta Biomater 9(7):7343–7353
35. Park S, Koch D, Cardenas R, Käs J, Shih CK (2005) Cell motility and local viscoelasticity of fibroblasts. Biophys J 89(6):4330–4342
36. von Dassow M, Davidson LA (2009) Natural variation in embryo mechanics: gastrulation in Xenopus laevis is highly robust to variation in tissue stiffness. Dev Dyn 238(1):2–18
37. Woolner S, Papalopulu N (2012) Spindle position in symmetric cell divisions during epiboly is controlled by opposing and dynamic apicobasal forces. Dev Cell 22(4):775–787