Potassium Channel Localization via Dendritic Voltage Clamp Recordings

Here I propose to extend, analyze and apply a promising acceleration of the method of Schaefer et al. [Sch]. They focus on recovering the conductance and kinetics of potassium currents at the clamp site. Let us begin, as they do, with the simple case of a straight resting fiber of length ` and radius a with a single noninactivating potassium current. We specify a voltage command V (t) at the clamp site, x = xc, and measure the requisite applied current, I(t), at xc. The associated cable equation is