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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?
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A steel rod of 3 cm diameters and 5 m long is connected to two grips and the rod is maintained pull exerted when the temperature falls to 30 o C if (a) The ends do not yield, an
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(a) Prove that the fourier series expansion for the function x(t) described in the finite interval -π ≤ t≤ π x(t) = 0 -π ≤ t ≤ 0 x(t) = sint 0 ≤ t ≤ π (b) Represent t
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