Active elastic thin shell theory for cellular deformations

New Journal of Physics

Volumn 16, Issue , 2014, Pages

  Berthoumieux, Hélène ^a,b,c   Maître, Jean Léon ^d,e   Heisenberg, Carl Philipp ^d   Paluch, Ewa K ^f   Jülicher, Frank ^a   Salbreux, Guillaume ^a  

^a MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME   (Germany)

^b SORBONNE UNIVERSITÉ   (France)

^c UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

^d INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA   (Austria)

^e EUROPEAN MOLECULAR BIOLOGY LABORATORY   (Germany)

^f UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

active matter; cell adhesion; cytoskeleton; elastic shell theory

Indexed keywords

CELL ADHESION; CELL MEMBRANES; PROTEINS;

ACTIVE MATTER; CELL DEFORMATION; CELLULAR DEFORMATION; CYTOSKELETONS; ELASTIC SHELL THEORY; MYOSIN MOLECULAR MOTORS; PHYSICAL PARAMETERS; THIN SHELL THEORY;

DEFORMATION;

EID: 84900987910     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/16/6/065005     Document Type: Article

References (40)

1. Salbreux G, Charras G and Paluch E 2012 Actin cortex mechanics and cellular morphogenesis Trends Cell Biol 22 536-45
2. Kruse K, Joanny J F, Jülicher F, Prost J and Sekimoto K 2005 Generic theory of active polar gels: a paradigm for cytoskeletal dynamics Eur. Phys. J. E Soft Matter 16 5-16 (Pubitemid 40226343)
3. Love A E 1927 Treatise on the Mathematical Theory of Elasticity (Cambridge: Cambridge University Press)
4. Timoshenko S, Woinowsky-Krieger S and Woinowsky S 1959 Theory of Plates and Shells (New York: McGraw-Hill)
5. Guven J 2006 Laplace pressure as a surface stress in fluid vesicles J. Phys. A: Math. Gen 39 3771 (Pubitemid 43453834)
6. Landau L D and Lifshitz E M 1986 Theory of Elasticity (Oxford: Butterworth-Heinemann)
7. Salbreux G, Prost J and Joanny J F 2009 Hydrodynamics of cellular cortical flows and the formation of contractile rings Phys. Rev. Lett. 103 058102
8. Delaunay C H 1841 Sur la surface de révolution dont la courbure moyenne est constante J. Math. Pures Appl. 309-14
9. Mayer M, Depken M, Bois J S, Jülicher F and Grill S W 2010 Anisotropies in cortical tension reveal the physical basis of polarizing cortical flows Nature 467 617-21
10. Eggers J 1997 Nonlinear dynamics and breakup of free-surface flows Rev. Mod. Phys. 69 865-930 (Pubitemid 127098260)
11. Hannezo E, Prost J and Joanny J-F 2012 Mechanical instabilities of biological tubes Phys Rev Lett 109 018101
12. Borghi N and Nelson W J 2009 Intercellular adhesion in morphogenesis: molecular and biophysical considerations Curr. Top. Devel. Biol. 89 1-32
13. Maître J-L, Berthoumieux H, Krens S F G, Salbreux G, Jülicher F, Paluch E and Heisenberg C-P 2012 Adhesion functions in cell sorting by mechanically coupling the cortices of adhering cells Science 338 253-6
14. Maîre J-L and Heisenberg C-P 2011 The role of adhesion energy in controlling cell-cell contacts Curr. Opinion Cell Biol. 23 508-14
15. Daoudi M, Lavergne E, Garin A, Tarantino N, Debré P, Pincet F, Combadière C and Deterre P 2004 Enhanced adhesive capacities of the naturally occurring Ile249-Met280 variant of the chemokine receptor CX3CR1 J. Biol. Chem. 279 19649-57 (Pubitemid 38623402)
16. Chu Y-S, Thomas W A, Eder O, Pincet F, Perez E, Thiery J P and Dufour S 2004 Force measurements in e-cadherin-mediated cell doublets reveal rapid adhesion strengthened by actin cytoskeleton remodeling through rac and cdc42 J. Cell. Biol. 167 1183-94 (Pubitemid 40066632)
17. Stoer J and Bulirsch R 2002 Introduction to Numerical Analysis vol 12 (Berlin: Springer)
18. Timoshenko S and Gere J M 2012 Theory of Elastic Stability (New York: Dover)
19. Ventsel E and Krauthammer T 2001 Thin Plates and Shells: Theory, Analysis, and Applications (Boca Raton, FL: CRC Press)
20. Audoly B and Pomeau Y 2010 Elasticity and Geometry: from Hair Curls to the Non-Linear Response of Shells (Oxford: Oxford University Press)
21. Lidmar J, Mirny L and Nelson D R 2003 Virus shapes and buckling transitions in spherical shells Phys. Rev. E 68 051910
22. Katifori E, Alben S, Cerda E, Nelson D R and Dumais J 2010 Foldable structures and the natural design of pollen grains Proc. Natl Acad. Sci. 107 7635-9
23. Levayer R and Lecuit T 2012 Biomechanical regulation of contractility: spatial control and dynamics Trends Cell. Biol. 22 61-81
24. Tinevez J-Y, Schulze U, Salbreux G, Roensch J, Joanny J-F and Paluch E 2009 Role of cortical tension in bleb growth Proc. Natl Acad. Sci. USA 106 18581-6
25. Clark A G, Dierkes K and Paluch E K 2013 Monitoring actin cortex thickness in live cells Biophys. J. 105 570-80
26. Krieg M, Arboleda-Estudillo Y, Puech P-H, Käfer J, Graner F, Müller D J and Heisenberg C-P 2008 Tensile forces govern germ-layer organization in zebrafish Nature Cell Biol. 10 429-36
27. Wu H W, Kuhn T and Moy V T 1998 Mechanical properties of l929 cells measured by atomic force microscopy: effects of anticytoskeletal drugs and membrane crosslinking Scanning 20 389-97 (Pubitemid 28407006)
28. Paluch E and Heisenberg C-P 2009 Biology and physics of cell shape changes in development Curr. Biol. 19 R790-9
29. Charras G T, Coughlin M, Mitchison T J and Mahadevan L 2008 Life and times of a cellular bleb Biophys. J 94 1836-53
30. Solon J, Kaya-Copur A, Colombelli J and Brunner D 2009 Pulsed forces timed by a ratchet-like mechanism drive directed tissue movement during dorsal closure Cell 137 1331-42
31. Lecuit T and Lenne P-F 2007 Cell surface mechanics and the control of cell shape, tissue patterns and morphogenesis Nat. Rev. Mol. Cell. Biol. 8 633-44 (Pubitemid 47108184)
32. Farhadifar R, Röper J-C, Aigouy B, Eaton S and Jülicher F 2007 The influence of cell mechanics, cell-cell interactions, and proliferation on epithelial packing Curr. Biol. 17 2095-104 (Pubitemid 50014864)
33. Kölsch V, Seher T, Fernandez-Ballester G J, Serrano L and Leptin M 2007 Control of drosophila gastrulation by apical localization of adherens junctions and rhogef2 Science 315 384-6 (Pubitemid 46175520)
34. Schlichting K and Dahmann C 2008 Hedgehog and dpp signaling induce cadherin cad86c expression in the morphogenetic furrow during drosophila eye development Mechanisms Devel. 125 712-28
35. Larsen C W, Hirst E, Alexandre C and Vincent J-P 2003 Segment boundary formation in drosophila embryos Development 130 5625-35 (Pubitemid 37540839)
36. Sawyer J M, Harrell J R, Shemer G, Sullivan-Brown J, Roh-Johnson M and Goldstein B 2010 Apical constriction: a cell shape change that can drive morphogenesis Devel. Biol. 341 5-19
37. Rodriguez E K, Hoger A and McCulloch A D 1994 Stress-dependent finite growth in soft elastic tissues J. Biomech. 27 455-67 (Pubitemid 24102058)
38. Goriely A and Amar M B 2005 Differential growth and instability in elastic shells Phys. Rev. Lett. 94 198103 (Pubitemid 41493013)
39. Amar M B and Goriely A 2005 Growth and instability in elastic tissues J. Mech. Phys. Solids 53 2284-319 (Pubitemid 41165642)
40. Dervaux J and Amar M B 2008 Morphogenesis of growing soft tissues Phys. Rev. Lett. 101 068101