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Exercises – Passive Neuronal Membrane Solved
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The following Python code models a passive neuronal membrane as an RC-circuit. (Remember that in the membrane model, the resistor and capacitor are in parallel.) Python (all versions):
membrane.py
This code demonstrates how a membrane responds to a constant current input that is turned on for a fixed time interval and then turned off.
Part A
What if the current were not turned off? What would the steady state voltage of the membrane be? Use the values given in the script to compute your answer (C = 0.1 nF, R = 100 MΩ, I = 10 nA). You should give your answer in mV. Do not include units in your answer.
Part B
Change the values for the membrane’s resistance and capacitance (R and C), and find out how this influences the response of the membrane. Does it reach a stable value more quickly or more slowly after multiplying R by 5?
Part C
Does it reach a stable value more quickly or more slowly after dividing C by 10?
Part D
Does it reach a stable value more quickly or more slowly after multiplying R by 10 AND dividing C by 10?

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