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Original Articles

An extensive numerical simulation of the cephalic furrow formation in Drosophila embryo

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Pages 445-455 | Received 23 Aug 2010, Accepted 09 Nov 2010, Published online: 17 Feb 2011

References

  • Allena , R , Mouronval , A-S and 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 .
  • Brown , ML . 1983 . Scalar potential in multiply connected beam . Int J Numer Methods Eng , 20 : 665 – 680 .
  • Campos-Ortega , JA and Hartenstein , V . 1985 . The embryonic development of Drosophila Melanogaster , Berlin, New York : Springer-Verlag .
  • Conte , V , Muñoz , J and Miodownik , M . 2007 . A 3D finite element model of ventral furrow invagination in the Drosophila Melanogaster embryo . J Mech Behav Biomed Mater , 1 : 188 – 198 .
  • Costa , M , Sweeton , D and Wieschaus , E . 1993 . “ Gastrulation in Drosophila: cellular mechanisms of morphogenetic movements ” . In The development of Drosophila , Edited by: Bate , M and Martinez-Arias , A . 425 – 466 . New York, NY : Cold Spring Harbor Laboratory Press .
  • Courant , R and Hilbert , D . 2007 . Methods of mathematical physics , Vol. 2 , WILEY-VCH Verlag GmbH & Co. KGaA .
  • Davies , JA . 2005 . Mechanism of morphogenesis: the creation of biological form , Burlington, San Diego, London : Elsevier Academic Press .
  • Foe , VE , Odell , GM and Edgar , BA . 1993 . “ Mitosis and morphogenesis in the Drosophila embryo: point and counterpoint ” . In The development of Drosophila melanogaster , Edited by: Bate , M and Martinez Arias , A . 149 – 300 . New York, NY : Cold Spring Harbor Press .
  • Frohnhofer , HG and Nusslein-Volhard , C . 1986 . Organization of anterior pattern in the Drosophila embryo by the maternal gene bicoid . Q Rev Biophys , 10 : 529 – 593 .
  • Greenbaum , A , Greengard , L and McFadden , GB . 1993 . Laplace's equation and Dirichlet-Neumann map in multiply connected domains . J Comput Phys , 105 : 267 – 278 .
  • Kellog , OD . 1953 . Foundations of potential theory , Berlin : Verlag Von Julius Springer .
  • Lecuit , T and Lenne , PF . 2007 . Cell surface mechanics and control of cell shape, tissue patterns and morphogenesis . Nat Rev , 8 : 633 – 643 .
  • Leptin , M . 1995 . Drosophila gastrulation: from pattern formation to morphogenesis . Annu Rev Cell Dev , 11 : 189 – 212 .
  • Leptin , M and Grunewald , B . 1990 . Cell shape changes during gastrulation in Drosophila . Development , 110 : 73 – 84 .
  • Muñoz , J , Barrett , K and Miodownik , M . 2007 . A deformation gradient decomposition method for the analysis of the mechanics of morphogenesis . J Biomech , 40 : 1372 – 1380 .
  • Odell , GM , Oster , G , Alberch , O and Burnside , P . 1981 . The mechanical basis of morphogenesis. Epithelial folding and invagination . Dev Biol , 75 : 446 – 462 .
  • Osher , S and Fedkiw , R . 2003 . Level set method and dynamic implicit surfaces , New York : Springer-Verlag .
  • Sidoroff , F . 1976 . Variables internes en viscoélasticité. Milieux avec plusieurs configurations intermediaries . Journal de Mécanique , 15 : 3 – 19 .
  • Smith , DR . 1993 . An introduction to continuum mechanics , The Netherlands : Kluwer Academic Publishers .
  • Sweeton , D , Parks , S , Costa , M and Wieschaus , E . 1991 . Gastrulation in Drosophila: the formation of the ventral furrow and posterior midgut invaginations . Development , 112 : 775 – 789 .
  • Taber , LA . 2004 . Non linear elasticity: applications in biomechanics , Singapore : World Scientific Publishing .
  • Vincent , A , Blankenship , JT and Wieshaus , E . 1997 . Integration of the head and trunk segmentation systems controls cephalic furrow formation in Drosophila . Development , 124 : 3747 – 3754 .
  • Wiebe , C and Brodland , GW . 2005 . Tensile properties of embryonic epithelia measured using a novel instrument . J Biomech , 38 : 2087 – 2094 .

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