메뉴 건너뛰기




Volumn 9, Issue 3, 2010, Pages 247-261

Modelling apical constriction in epithelia using elastic shell theory

Author keywords

Apical constriction; Elastic deformation; Epithelial tissue; Shell theory

Indexed keywords

FIBERS; MESH GENERATION; SHELLS (STRUCTURES); STIFFNESS;

EID: 77956295880     PISSN: 16177959     EISSN: 16822978     Source Type: Journal    
DOI: 10.1007/s10237-009-0174-1     Document Type: Article
Times cited : (7)

References (42)
  • 2
    • 16544392732 scopus 로고    scopus 로고
    • Mechanical effects of cell anisotropy on epithelia
    • doi:10.1080/1025584042000209369
    • Brodland GW, Wiebe CJ (2004) Mechanical effects of cell anisotropy on epithelia. Comput Methods Biomech Biomed Eng 7(2):91-99. doi:10.1080/ 1025584042000209369
    • (2004) Comput Methods Biomech Biomed Eng , vol.7 , Issue.2 , pp. 91-99
    • Brodland, G.W.1    Wiebe, C.J.2
  • 3
    • 0015155261 scopus 로고
    • Microtubules and microfilaments in newt neurulation
    • doi:10.1016/0012-1606(71)90073- X
    • Burnside B (1971) Microtubules and microfilaments in newt neurulation. Dev Biol 26(3):416-441. doi:10.1016/0012-1606(71)90073- X
    • (1971) Dev Biol , vol.26 , Issue.3 , pp. 416-441
    • Burnside, B.1
  • 4
    • 0027297247 scopus 로고
    • Mechanical evaluation of theories of neurulation using computer simulations
    • Clausi DA, Brodland GW (1993) Mechanical evaluation of theories of neurulation using computer simulations. Development 118(3):1013-1023
    • (1993) Development , vol.118 , Issue.3 , pp. 1013-1023
    • Clausi, D.A.1    Brodland, G.W.2
  • 5
    • 0025290686 scopus 로고
    • A model of morphogenetic pattern formation
    • doi:10.1016/S0022- 5193(05)80089-X
    • Cummings FW (1990) A model of morphogenetic pattern formation. J Theor Biol 144(4):547-566. doi:10.1016/S0022- 5193(05)80089-X
    • (1990) J Theor Biol , vol.144 , Issue.4 , pp. 547-566
    • Cummings, F.W.1
  • 6
    • 36148934860 scopus 로고    scopus 로고
    • Integrating morphogenesis with underlying mechanics and cell biology
    • doi:10.1016/S0070-2153(07)81003-9
    • Davidson LA (2008) Integrating morphogenesis with underlying mechanics and cell biology. Curr Top Dev Biol 81:113-133. doi:10.1016/S0070-2153(07)81003- 9
    • (2008) Curr Top Dev Biol , vol.81 , pp. 113-133
    • Davidson, L.A.1
  • 7
    • 0029005577 scopus 로고
    • How do sea urchins invaginate? Using biomechanics to distinguish between mechanisms of primary invagination
    • Davidson LA, Koehl MAR, Keller R, Oster GF (1995) How do sea urchins invaginate? Using biomechanics to distinguish between mechanisms of primary invagination. Development 121(7): 2005-2018
    • (1995) Development , vol.121 , Issue.7 , pp. 2005-2018
    • Davidson, L.A.1    Koehl, M.A.R.2    Keller, R.3    Oster, G.F.4
  • 8
    • 0033562772 scopus 로고    scopus 로고
    • Measurements of mechanical properties of the blastula wall reveal which hypothesized mechanisms of primary invagination are physically plausible in the sea urchin Strongylocentrotus purpuratus
    • doi:10.1006/dbio.1999.9249
    • Davidson LA, Oster GF, Keller RE, KoehlMAR (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(2):221-238. doi:10.1006/dbio.1999. 9249
    • (1999) Dev Biol , vol.209 , Issue.2 , pp. 221-238
    • Davidson, L.A.1    Oster, G.F.2    Keller, R.E.3    Koehl, M.A.R.4
  • 10
    • 59649095044 scopus 로고    scopus 로고
    • Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit
    • doi:10.1016/j.jmps.2008.11.011
    • Dervaux J, Ciarletta P, Ben Amar M (2009) Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Föppl-von Kármán limit. J Mech Phys Solids 57(3):458-471. doi:10.1016/j.jmps.2008.11.011
    • (2009) J Mech Phys Solids , vol.57 , Issue.3 , pp. 458-471
    • Dervaux, J.1    Ciarletta, P.2    Ben Amar, M.3
  • 11
    • 0024235479 scopus 로고
    • The cellular basis of epithelial morphogenesis. A review
    • doi:10.1016/0040- 8166(88)90015-8
    • Fristrom D (1988) The cellular basis of epithelial morphogenesis. A review. Tissue and Cell 20(5):645-690. doi:10.1016/0040- 8166(88)90015-8
    • (1988) Tissue and Cell , vol.20 , Issue.5 , pp. 645-690
    • Fristrom, D.1
  • 12
    • 0017606707 scopus 로고
    • Physical aspects of tissue evagination and biological form
    • doi:10.1017/S0033583500003218
    • Gierer A (1977) Physical aspects of tissue evagination and biological form. Q Rev Biophys 10(4):529-593. doi:10.1017/ S0033583500003218
    • (1977) Q Rev Biophys , vol.10 , Issue.4 , pp. 529-593
    • Gierer, A.1
  • 13
  • 14
    • 0023622575 scopus 로고
    • The cytoskeletal mechanics of brain morphogenesis
    • Gordon R, Brodland GW (1987) The cytoskeletal mechanics of brain morphogenesis. Cell Biochem Biophys 11(1):177-238
    • (1987) Cell Biochem Biophys , vol.11 , Issue.1 , pp. 177-238
    • Gordon, R.1    Brodland, G.W.2
  • 15
    • 0031585862 scopus 로고    scopus 로고
    • Epithelial folding in vitro: Studies on the cellular mechanism underlying evagination of thyrocyte monolayers
    • doi:10.1006/excr.1996.3456
    • Graebert KS, Bauch H, Neumüller W, Brix K, Herzog V (1997) Epithelial folding in vitro: Studies on the cellular mechanism underlying evagination of thyrocyte monolayers. Exp Cell Res 231(1): 214-225. doi:10.1006/excr.1996.3456
    • (1997) Exp Cell Res , vol.231 , Issue.1 , pp. 214-225
    • Graebert, K.S.1    Bauch, H.2    Neumüller, W.3    Brix, K.4    Herzog, V.5
  • 16
    • 0022900061 scopus 로고
    • The mechanisms and mechanics of archenteron elongation during sea urchin gastrulation
    • doi:10.1016/0012-1606(86)90269-1
    • Hardin JD, Cheng LY (1986) The mechanisms and mechanics of archenteron elongation during sea urchin gastrulation. Dev Biol 115(2):490-501. doi:10.1016/0012-1606(86)90269-1
    • (1986) Dev Biol , vol.115 , Issue.2 , pp. 490-501
    • Hardin, J.D.1    Cheng, L.Y.2
  • 17
    • 0023915074 scopus 로고
    • The behaviour and function of bottle cells during gastrulation of Xenopus laevis
    • Hardin J, Keller R (1988) The behaviour and function of bottle cells during gastrulation of Xenopus laevis. Development 103(1): 211-230
    • (1988) Development , vol.103 , Issue.1 , pp. 211-230
    • Hardin, J.1    Keller, R.2
  • 18
    • 42449090290 scopus 로고    scopus 로고
    • Mechanical aspects of developmental biology: Perspectives on growth and form in the (post)-genomic age
    • doi:10.1088/1478-3975/5/1/015001
    • Hutson MS, Ma X (2008) Mechanical aspects of developmental biology: Perspectives On Growth and Form in the (post)-genomic age. Phys Biol 5(1):015,001. doi:10.1088/1478-3975/5/1/015001
    • (2008) Phys Biol , vol.5 , Issue.1 , pp. 015001
    • Hutson, M.S.1    Ma, X.2
  • 19
    • 84861625005 scopus 로고    scopus 로고
    • Modelling growth in biological materials
    • (submitted)
    • Jones GW, Chapman SJ (2009) Modelling growth in biological materials. SIAM Review (submitted)
    • (2009) SIAM Review
    • Jones, G.W.1    Chapman, S.J.2
  • 20
    • 0038410006 scopus 로고    scopus 로고
    • How we are shaped: The biomechanics of gastrulation
    • doi:10. 1046/j.1432-0436.2003.710301.x
    • Keller R, Davidson LA, Shook DR (2003) How we are shaped: The biomechanics of gastrulation. Differentiation 71(3):171-205. doi:10. 1046/j.1432-0436.2003.710301.x
    • (2003) Differentiation , vol.71 , Issue.3 , pp. 171-205
    • Keller, R.1    Davidson, L.A.2    Shook, D.R.3
  • 22
    • 0020586767 scopus 로고
    • Constitutive equations for fibrous connective tissues
    • doi:10.1016/0021-9290(83)90041-6
    • Lanir Y (1983) Constitutive equations for fibrous connective tissues. J Biomech 16(1):1-12. doi:10.1016/0021-9290(83)90041-6
    • (1983) J Biomech , vol.16 , Issue.1 , pp. 1-12
    • Lanir, Y.1
  • 23
    • 35348814980 scopus 로고    scopus 로고
    • Actomyosin contractility and microtubules drive apical constriction in Xenopus bottle cells
    • doi:10.1016/j.ydbio.2007.08.010
    • Lee JY, Harland RM (2007) Actomyosin contractility and microtubules drive apical constriction in Xenopus bottle cells. Dev Biol 311(1):40-52. doi:10.1016/j.ydbio.2007.08.010
    • (2007) Dev Biol , vol.311 , Issue.1 , pp. 40-52
    • Lee, J.Y.1    Harland, R.M.2
  • 24
    • 84872638258 scopus 로고
    • Mechanics of invagination
    • doi:10.1002/ar.1090970203
    • Lewis WH (1947) Mechanics of invagination. Anat Rec 97(2): 139-156. doi:10.1002/ar.1090970203
    • (1947) Anat Rec , vol.97 , Issue.2 , pp. 139-156
    • Lewis, W.H.1
  • 25
    • 28444433394 scopus 로고    scopus 로고
    • Mechanical models for living cells - A review
    • doi:10.1016/j. jbiomech.2004.12.008
    • Lim CT, Zhou EH, Quek ST (2006) Mechanical models for living cells-a review. J Biomech 39(2):195-216. doi:10.1016/j. jbiomech.2004.12.008
    • (2006) J Biomech , vol.39 , Issue.2 , pp. 195-216
    • Lim, C.T.1    Zhou, E.H.2    Quek, S.T.3
  • 26
    • 58749084302 scopus 로고    scopus 로고
    • Pulsed contractions of an actin-myosin network drive apical constriction
    • doi:10.1038/nature07522
    • Martin AC, Kaschube M, Wieschaus EF (2009) Pulsed contractions of an actin-myosin network drive apical constriction. Nat 457(7228):495-499. doi:10.1038/nature07522
    • (2009) Nat , vol.457 , Issue.7228 , pp. 495-499
    • Martin, A.C.1    Kaschube, M.2    Wieschaus, E.F.3
  • 27
    • 77956283555 scopus 로고
    • The shaping of cell sheets: An application of mechanics in developmental biology
    • In: Akkas N (ed), NATO ASI Series A: Life sciences, Plenum Press, New York
    • Mittenthal JE (1987) The shaping of cell sheets: An application of mechanics in developmental biology. In: Akkas N (ed) Biomechanics of cell division, NATO ASI Series A: Life sciences, vol 132, Plenum Press, New York, pp 327-346
    • (1987) Biomechanics of Cell Division , vol.132 , pp. 327-346
    • Mittenthal, J.E.1
  • 28
    • 0021096595 scopus 로고
    • A model for shape generation by strain and cell-cell adhesion in the epithelium of an arthropod leg segment
    • doi:10.1016/0022- 5193(83)90441-1
    • Mittenthal JE, Mazo RM (1983) A model for shape generation by strain and cell-cell adhesion in the epithelium of an arthropod leg segment. J Theor Biol 100(3):443-483. doi:10.1016/0022- 5193(83)90441-1
    • (1983) J Theor Biol 100 , Issue.3 , pp. 443-483
    • Mittenthal, J.E.1    Mazo, R.M.2
  • 29
    • 0022571710 scopus 로고
    • Scanning electron microscopy of embryos
    • chap 15, Elsevier, doi:10.1016/ S0091-679X(08)60353-2
    • Morrill JB (1986) Scanning electron microscopy of embryos. Methods in cell biology, chap 15, vol 27. Elsevier, pp 263-293. doi:10.1016/ S0091-679X(08)60353-2
    • (1986) Methods in Cell Biology , vol.27 , pp. 263-293
    • Morrill, J.B.1
  • 30
    • 33947593445 scopus 로고    scopus 로고
    • A deformation gradient decomposition method for the analysis of the mechanics of morphogenesis
    • doi:10.1016/j.jbiomech. 2006.05.006
    • Muñoz JJ, Barrett K, Miodownik M (2007) A deformation gradient decomposition method for the analysis of the mechanics of morphogenesis. J Biomech 40(6):1372-1380. doi:10.1016/j.jbiomech. 2006.05.006
    • (2007) J Biomech , vol.40 , Issue.6 , pp. 1372-1380
    • Munoz, J.J.1    Barrett, K.2    Miodownik, M.3
  • 32
    • 0019756712 scopus 로고
    • The mechanical basis of morphogenesis. I. Epithelial folding and invagination
    • doi:10.1016/0012- 1606(81)90276-1
    • Odell GM, Oster G, Alberch P, Burnside B (1981) The mechanical basis of morphogenesis. I. Epithelial folding and invagination. Developmental Biology 85(2):446-462. doi:10.1016/0012- 1606(81)90276-1
    • (1981) Developmental Biology , vol.85 , Issue.2 , pp. 446-462
    • Odell, G.M.1    Oster, G.2    Alberch, P.3    Burnside, B.4
  • 33
    • 14644404292 scopus 로고    scopus 로고
    • Compartmentalized morphogenesis in epithelia: From cell to tissue shape
    • doi:10. 1002/dvdy.20334
    • Pilot F, Lecuit T (2005) Compartmentalized morphogenesis in epithelia: From cell to tissue shape. Dev Dyn 232(3):685-694. doi:10. 1002/dvdy.20334
    • (2005) Dev Dyn , vol.232 , Issue.3 , pp. 685-694
    • Pilot, F.1    Lecuit, T.2
  • 34
    • 41149125479 scopus 로고    scopus 로고
    • Computational modeling of morphogenesis regulated by mechanical feedback
    • doi:10.1007/s10237-007- 0077-y
    • Ramasubramanian A, Taber LA (2008) Computational modeling of morphogenesis regulated by mechanical feedback. Biomech Model Mechanobiol 7(2):77-91. doi:10.1007/s10237-007- 0077-y
    • (2008) Biomech Model Mechanobiol , vol.7 , Issue.2 , pp. 77-91
    • Ramasubramanian, A.1    Taber, L.A.2
  • 35
    • 0036439238 scopus 로고    scopus 로고
    • Molecularmechanisms of epithelialmorphogenesis
    • doi:10.1146/ annurev.cellbio.18.022602.131838
    • Schöck F, PerrimonN (2002) Molecularmechanisms of epithelialmorphogenesis. Annu Rev Cell Dev Biol 18:463-493. doi:10.1146/ annurev.cellbio.18.022602.131838
    • (2002) Annu Rev Cell Dev Biol , vol.18 , pp. 463-493
    • Schöck, F.1    Perrimon, N.2
  • 37
    • 0033720253 scopus 로고    scopus 로고
    • Application of higher-order tensor theory for formulating enhanced continuum models
    • doi:10.1007/BF01190020
    • Suiker ASJ, Chang CS (2000) Application of higher-order tensor theory for formulating enhanced continuum models. Acta Mech 142 (1-4):223-234. doi:10.1007/BF01190020
    • (2000) Acta Mech , vol.142 , Issue.1-4 , pp. 223-234
    • Suiker, A.S.J.1    Chang, C.S.2
  • 38
    • 0025812705 scopus 로고
    • Gastrulation in Drosophila: The formation of the ventral furrow and posterior midgut invaginations
    • Sweeton D, Parks S, Costa M,Wieschaus E (1991) Gastrulation in Drosophila: The formation of the ventral furrow and posterior midgut invaginations. Development 112(3):775-789
    • (1991) Development , vol.112 , Issue.3 , pp. 775-789
    • Sweeton, D.1    Parks, S.2    Costa, M.3    Wieschaus, E.4
  • 39
    • 0035143853 scopus 로고    scopus 로고
    • Spectrin: The ghost in the machine
    • doi:10.1002/1521-1878(200102)23:2<152:: AID-BIES1022>3.0.CO;2-1
    • Thomas GH (2001) Spectrin: The ghost in the machine. BioEssays 23(2):152-160. doi:10.1002/1521-1878(200102)23:2<152:: AID-BIES1022>3.0. CO;2-1
    • (2001) BioEssays , vol.23 , Issue.2 , pp. 152-160
    • Thomas, G.H.1
  • 40
    • 23444440853 scopus 로고    scopus 로고
    • Tensile properties of embryonic epithelia measured using a novel instrument
    • doi:10.1016/j.jbiomech.2004.09.005
    • Wiebe C, Brodland GW (2005) Tensile properties of embryonic epithelia measured using a novel instrument. J Biomech 38(10): 2087-2094. doi:10.1016/j.jbiomech.2004.09.005
    • (2005) J Biomech , vol.38 , Issue.10 , pp. 2087-2094
    • Wiebe, C.1    Brodland, G.W.2
  • 42
    • 0026848809 scopus 로고
    • A fluid-mechanical model of deformation during embryo exogastrulation
    • doi:10. 1016/0021-9290(92)90253-W
    • Zinemanas D, Nir A (1992) A fluid-mechanical model of deformation during embryo exogastrulation. J Biomech 25(4):341-346. doi:10. 1016/0021-9290(92) 90253-W
    • (1992) J Biomech , vol.25 , Issue.4 , pp. 341-346
    • Zinemanas, D.1    Nir, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.