| Abstract: | We derive equations that describe changes in the steady-state fluorescence polarization of the probe 1,6-diphenyl-1,3,5-hexatriene (DPH) or in the spectrum of electron spin resonance (ESR) nitroxide spin-labeled lipid probes as a function of the intrinsic molecule concentration in lipid bilayer membranes. We make use of an assumption used by us in an earlier paper. The equations are independent of any membrane model. They are valid when a DPH probe or a spin-labeled chain is equivalent to an unlabeled lipid hydrocarbon chain only as far as their general space-filling properties are concerned. We consider cases where the bilayer is either in a single homogeneous phase or in a two-phase region. We apply our equations to analyze ESR data from delipidated sarcoplasmic reticulum membranes and from egg yolk phosphatidylcholine bilayers containing Ca2+-ATPase, and DPH data from dipalmitoylphosphatidylcholine (DPPC) bilayers containing Ca2+-ATPase, both for T greater than Tc. The following conclusions were derived: (i) Ca2+-ATPase oligomers are "randomly" distributed, for the concentrations studied, in the fluid phase. (ii) There is no fixed stoichiometric ratio of "boundary" lipids and oligomers. (iii) Between 24k and 28k lipid molecules are able to surround each isolated oligomer composed of k Ca2+-ATPase monomers. Finally, we apply our equations to analyze DPH studies on DPPC bilayers containing Ca2+-ATPase for T less than Tc. We find that the results reported are in accord with the predictions of the model. In the Appendix, we show that an analytical expression for probabilities used by us is in very good agreement with the results of computer simulation. |
