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A continuum model of lipid bilayers

Published online by Cambridge University Press:  10 January 2005

J. G. BLOM  and
M. A. PELETIER
J. G. BLOM
Affiliation:
Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands email: peletier@cwi.nl
M. A. PELETIER
Affiliation:
Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands email: peletier@cwi.nl
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Abstract

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.

Type
Papers
Information
European Journal of Applied Mathematics , Volume 15 , Issue 4 , August 2004 , pp. 487 - 508
Copyright
2004 Cambridge University Press

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