Tonotopic Relationships Reveal the Charge Density Varies along the Lateral Wall of Outer Hair Cells

Outer hair cells amplify and improve the frequency selectivity of sound within the mammalian cochlea through a sound-evoked receptor potential that induces an electromechanical response in their lateral wall membrane. We experimentally show that the membrane area and linear membrane capacitance of outer hair cells increases exponentially with the electrically evoked voltage-dependent charge movement (Q(T)) and peak membrane capacitance (C-peak). We determine the size of the different functional regions (e.g., lateral wall, synaptic basal pole) of the polarized cells from the tonotopic relationships. We then establish that Q(T) and C-peak increase with the logarithm of the lateral wall area (A(LW)) and determine from the functions that the charge (sigma(LW), pC/mu m(2)) and peak (rho(LW), pF/mu m(2)) densities vary inversely with A(LW) (sigma(LW) = 1.3/A(LW) and rho(LW) = 9/A(LW)). This shows contrary to conventional wisdom that sigma(LW) and rho(LW) are not constant along the length of an individual outer hair cell.