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Nonlinear Elliptic and Parabolic Problems pp 357–371Cite as

Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications ((PNLDE,volume 64))

Abstract

We describe two finite element algorithms which can be used to study organogenesis or organ development during biological development. Such growth can often be reduced to a free boundary problem with similarities to two-fluid flow in the presence of surface tension, though material is added at a constant growth rate to the developing organ. We use the specific case of avian limb development to discuss our algorithms

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Author information

Authors and Affiliations

  1. Laboratoire de Mathématiques et Applications, Université de Haute-Alsace, 4, rue des Frères Lumière, F-68093, Mulhouse Cedex, France

    Cornel M. Murea

  2. Department of Physics, Emory University, Atlanta, GA, 30322, USA

    George Hentschel

Authors
  1. Cornel M. Murea
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  2. George Hentschel
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Editor information

Editors and Affiliations

  1. Universitá Pierre et Marie Curie, Paris

    Haim Brezis

  2. Rutgers University, New Brunswick, N.J.

    Haim Brezis

  3. Angewandte Mathematik, Universität Zurich, Winterthurerstr. 190, 8057, Zürich, Switzerland

    Michel Chipot

  4. Institute of Applied Mathematics, University of Hannover, Welfengarten 1, 30167, Hannover, Germany

    Joachim Escher

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Murea, C.M., Hentschel, G. (2005). Finite Element Methods for Investigating the Moving Boundary Problem in Biological Development. In: Brezis, H., Chipot, M., Escher, J. (eds) Nonlinear Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol 64. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7385-7_20

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