Cell membranes contain ion channels. The fraction, f, of channels that are open is a

Chapter 4, Problem 20

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Cell membranes contain ion channels. The fraction, f, of channels that are open is a function of the membrane potential V (the voltage inside the cell minus voltage outside), in millivolts (mV), given by f(V ) = 1 1 + e(V +25)/2 . (a) Find the values of L, k, and C in the logistic formula for f: f(V ) = L 1 + CekV . (b) At what voltages V are 10% , 50% and 90% of the channels open?

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