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Biophys J, January 2002, p. 76-92, Vol. 82, No. 1

Poisson-Boltzmann Theory for Membranes with Mobile Charged Lipids and the pH-Dependent Interaction of a DNA Molecule with a Membrane

Christian Fleck,* Roland R. Netz,dagger and Hans Hennig von Grünberg*

 *Fakultät für Physik, Universität Konstanz, 78457 Konstanz, and  dagger Max-Planck-Institut für Kolloid- und Grenzflächenforschung, 14424 Potsdam, Germany

We consider a planar stiff model membrane consisting of mobile surface groups whose state of charge depends on the pH and the ionic composition of the adjacent electrolyte solution. To calculate the mean-field interaction potential between a charged object and such a model membrane, one needs to solve a Poisson-Boltzmann boundary value problem. We here derive and discuss the boundary condition at the membrane surface, a condition that is generally appropriate for biological membranes where two charge-regulating mechanisms are present at the same time: the pH-dependent chemical charge regulation and a regulation through the in-plane mobility of the surface groups. As an application of this general formalism, we consider the specific example of a single DNA molecule, approximated by a cylinder with smeared-out surface charges, interacting with such a model membrane. We study the effect that the two competing charge-regulating mechanisms have on the DNA/membrane interaction and the distribution of surface ions in the plane of the membrane. We find that, at short DNA-membrane distances, membrane fluidity can have a considerable impact on the DNA adsorption behavior and can lead to such counterintuitive phenomena as the adsorption of a negatively charged DNA onto a (on average) negatively charged membrane.

Biophys J, January 2002, p. 76-92, Vol. 82, No. 1
© 2002 by the Biophysical Society   0006-3495/02/01/76/17  $2.00


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