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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Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Blom, J., & Peletier, M. (2002). A continuum model of lipid bilayers. Modelling, Analysis and Simulation [MAS]. CWI.