Fluxes theory in experiments with random distributed channels on vesicles

Flux theory for Poisson distributed pores with Gaussian permeability

“…Moreover, a previous theoretical overall result 11 is applied here, considering that pores with a Gaussian distributed "single pore flux rate" (k i ) can be mathematically represented by infinite pores. The resulting expression for the intravesicular solute concentration, obtained by combining Poisson and Gaussian distributions, appears in the Eq.…”

“…19, fitting the parameters to experimental data, it is interesting that, in the studied parameter space, the determination of k does not depend on the value of s. Finally, Eq. 21 is similar to the case in which the experiment has only a single kind of pore, randomly distributed, 11 but with only one value of k i , equal to k. To study the mentioned flux of solute through pores, the recorded signal during the transport kinetics experiment must be due to the transport of solute and not to the formation of the pore in the membrane. Fortunately, some cases of kinetics of membrane-peptide association show a transient rapid phase, even with practically instantaneous diffusion-limited times.…”