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During reconstitution, membrane proteins are randomly inserted into liposomes according to Poisson distribution statistics. When the protein to lipid ratios in the reconstitution mixture are varied systematically, the characteristics of this statistical capture permit inferences about the proteins themselves, such as the number of subunits that assemble into a single functional unit. This chapter describes the Poisson distribution as applied to the reconstitution of membrane proteins into proteoliposomes and focuses on an appl