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  • Cited by 3
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    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Elliott, Charles M. Gräser, Carsten Hobbs, Graham Kornhuber, Ralf and Wolf, Maren-Wanda 2016. A Variational Approach to Particles in Lipid Membranes. Archive for Rational Mechanics and Analysis,

    Peletier, Mark A. and Röger, Matthias 2009. Partial Localization, Lipid Bilayers, and the Elastica Functional. Archive for Rational Mechanics and Analysis, Vol. 193, Issue. 3, p. 475.

    van der Heijden, G. H. M. Peletier, M. A. and Planqué, R. 2006. Self-Contact for Rods on Cylinders. Archive for Rational Mechanics and Analysis, Vol. 182, Issue. 3, p. 471.

  • European Journal of Applied Mathematics, Volume 15, Issue 4
  • August 2004, pp. 487-508

A continuum model of lipid bilayers

  • J. G. BLOM (a1) and M. A. PELETIER (a1)
  • DOI:
  • Published online: 01 January 2005

We study a one-dimensional continuum model for lipid bilayers. The system consists of water and lipid molecules; lipid molecules are represented by two ‘beads’, a head bead and a tail bead, connected by a rigid rod. We derive a simplified model for such a system, in which we only take into account the effects of entropy and hydrophilic/hydrophobic interactions. We show that for this simple model membrane-like structures exist for certain choices of the parameters, and numerical calculations suggest that they are stable.

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European Journal of Applied Mathematics
  • ISSN: 0956-7925
  • EISSN: 1469-4425
  • URL: /core/journals/european-journal-of-applied-mathematics
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