1) Using the ergodic hypothesis, estimate the equilibrium constant for the channel opening reaction.
2) If you had a pair of these channels, what is the probability that one is open and one is closed, at any instant in time.
3) Basing your analysis on the Boltzmann distribution, work out the apparent energy difference between the open and the closed state of the ion channel. Express your answer as a multiple of kBT , and in Joules
4) If the temperature is reduced to 10 °C, and the applied voltage is unchanged, estimate the
percentage of time an individual channel will spend in the open state.
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You are studying a voltage gated ion channel, and the applied voltage is adjusted so that an individual channel spends 80% of its time in the open state and 20% of its time in the closed state. The temperature of the system is 25 °C.