Analysis of membrane protein self-association in lipid systems by fluorescence particle counting: application to the dihydropyridine receptor.

Fluorescence particle counting (FPC) is employed to analyze the distribution of a purified membrane protein, the dihydropyridine receptor (DHP-R), in detergent micelles, in lipid vesicles, and in lipid monolayers generated from the vesicles. The method was used to identify conditions for which DHP-Rs occur singly distributed in micelles and in vesicles. In monolayers, the DHP-R showed self-association, starting from monomeric distribution at concentrations (c) of typically 10 DHP-R/microm2. The average cluster size [m(t)] of associates was followed by FPC in time and the dependence of the lateral diffusion constant [D(lat)(m,pi)] of the associates on the surface pressure (pi) was determined. By studying the dependence of m(t) on c, pi, D(lat)(pi), and salt concentration (c(s)), we derived an empirical expression for the association rate constant (k(a)) and for m(t) that fits the experimental m(t) relations. Theoretical justification for these dependencies is obtained from collision theory, leading to a mechanistic picture of the aggregation process. DHP-R association is irreversible. Its rate is not diffusion-limited. A large number of collisions is required to overcome an interaction energy barrier of about 6-11 kT, depending on m and c(s) but not on pi. The increase in association rate with increasing average cluster size m is related to increasing van der Waals attraction, while the increase in rate with increasing c(s) relates to decreasing electrostatic repulsion. Van der Waals and electrostatic forces represent, however, only part of the interaction energy. The main contribution was not dependent on the variables studied and, most likely, reflects hydration forces which need to be overcome for association.