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1. Plot the functions x1 and x as functions of voltage
2. Assume that you hold the membrane potential V at -120 mV until the system reaches equilibrium (i.e. until dx=dt = 0, where x = (V;m; h; n; a; b;M;H)T ) and that at time t = 0 you suddenly change and hold the value of the membrane potential at a value Vo. Plot the currents IL, INa, IK, IA, ICaT as well as the total current as functions of time for a number of di erent values Vo of you choice in the range -75 to +40 mV.
3. Write an algorithm for numerically approximating the solution to the above model.
4. Using the algorithm you developed in Question 2, illustrate the presence of post-inhibitory rebound (PIR) in the above model.
5. Using the algorithm you developed in Question 2 and assuming that ICaT is completely blocked (i.e. GCaT = 0), construct the gain function of the above model.
6. How does the gain function you constructed in Question 5 di er from the gain function of the original Hodgkin-Huxley model?
The Rusk's own fairly large house near San Francisco and the following spreadsheet shows their month to month power use for two years. 1. What is their monthly average power us
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