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.

Problems involving relations other than differential equations (msc 49K21), Biomechanical solid mechanics (msc 74L15), Biomechanics (msc 92C10)
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

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