We apply a continuum approximation assuming that the observed dye spread can be described by Fick鈥檚 law of diffusion. Deduced from Fick鈥檚 law, new measures are presented which directly relate the observed spread of dye to the diffusion coefficient.
The theoretical framework enables the estimation of an effective diffusion coefficient from Fick鈥檚 law independently of the specific indicator substance used in the assay. For Lucifer Yellow, diffusion stops within few minutes after the electroporation. Therefore only an order-of-magnitude estimate of the diffusion coefficient can be given for this dye.
In terms of the underlying diffusion coefficient, the hitherto used measures give a relatively poor degree of quantification. In contrast, the present methods may yield direct information on the effective intercellular diffusion coefficient and hence provide additional and more precise information as to the permeability modulating effect of various substances.