Large-Strain Kinematics of Deforming Cell Sheets

  • G. Wayne Brodland
Part of the NATO ASI Series book series (volume 42)


It is well known that specific deformations (shape changes) in sheets of embryonic tissue are critical to normal morphogenesis. Birth defects caused by abnormalities in tissue sheet expansion and shape change include defective lens and retina formation, cleft lip, cleft palate, cardiac septum defects, and spina bifida.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Brodland GW, Cohen H (1987) Deflection and Snapping of Spherical Caps. Int J Solids Structures 23: 1341–1356CrossRefGoogle Scholar
  2. Burnside MB, Jacobson AG (1968) Analysis of Morphogenetic Movements in the Neural Plate of the Newt Taricha torosa. Dev Biol 18: 537–552PubMedCrossRefGoogle Scholar
  3. Gould PL (1988) Analysis of Shells and Plates, Springer-Verlag, New York, ch 1CrossRefGoogle Scholar
  4. Hilfer SR, Hilfer ES (1983) Computer Simulation of Organogenesis: An Approach to the Analysis of Shape Changes in Epithelial Organs. Dev Biol 97: 444–453PubMedCrossRefGoogle Scholar
  5. 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: 191–246PubMedCrossRefGoogle Scholar
  6. Saada AS (1987) Elasticity Theory and Applications, Krieger, Malabar Florida, ch 18Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • G. Wayne Brodland
    • 1
  1. 1.Department of Civil EngineeringUniversity of WaterlooWaterlooCanada

Personalised recommendations