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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 dierent 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 dier from the gain function of the original Hodgkin-Huxley model?
Compute the force exerted by the tires on the road: An automobile of mass 1500 kg traverses a 500 m curve at a constant speed of 50 kmph. Supposing no banking of the curve,
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help write the matlab code desired: The sine function can be evaluated by the following infinite series as (where the angle x is given in radians): xsinx = x-(x^3)/3! + (x^5)/5! -
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