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