S. May, CURVATURE ELASTICITY AND THERMODYNAMIC STABILITY OF ELECTRICALLY CHARGED MEMBRANES, The Journal of chemical physics, 105(18), 1996, pp. 8314-8323
The elastic behavior and stability of electrically charged amphiphilic
membranes is investigated. In the present study, we address the quest
ion whether the electrostatic contribution to the curvature elastic mo
duli of a uniformly charged symmetric membrane leads to a curvature in
stability. To this end we consider a membrane in which the overall num
ber of molecules is conserved during any deformation. In order to esti
mate both the molecular equilibrium area and the position of the neutr
al surface of each monolayer during bending, we include in the express
ion of the bilayer free energy beside an electrostatic, also a nonelec
trostatic contribution. The former is described within the Gouy-Chapma
n theory of the diffuse double layer. The latter is a sum of a chain,
an interfacial, and a nonelectrostatic head group contribution. The ch
ain part is described using a detailed mean-field conformational free
energy which is based on a molecular chain model. For the interfacial
and nonelectrostatic head group contribution we use simple but general
phenomenological expressions. It is shown that for medium and high me
mbrane surface charge densities the electrostatic contribution to the
bending moduli is not negligible. For highly charged membranes, the mo
del predicts an instability with respect to a spherical deformation. T
his is discussed referring to the experimentally observed process of s
pontaneous vesiculation upon jump in pH of certain ionizable amphiphil
ic molecules. (C) 1996 American Institute of Physics.