Homework 9 Solutions

Homework 9 Solutions - Question 1 [For questions 1-5] A...

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Question 1 [For questions 1-5] A uniform cable with diam=4 μm has R m = 10KΩcm2 and R i = 100 Ωcm with λ = sqrt ((diam/4)(R m / R i )), and R in = sqrt(R m R i )/ (π d 3/2 ). The cable has a branch point at location X that gives rise to 3 unequal daughter branches of diameter d, 2d, and 3d respectively, so that the input conductances are matched facing either direction from the branch point. You inject a current in the main cable 0.8 λ (where λ is the length constant of the parent cable) away from the branch point at location Y, leading to a 20 mV depolarization at the branch point. What is the value of d in microns? Answer 0.922802 Question 2 Calculate the input resistance at location Y in MOhms. Answer 39.7887 Question 3 Calculate the space constant in microns. Answer 1000 Question 4 What does V need to be at the injection site? (in mV) Answer 44.5108 Question 5 How much current do you need to inject at the injection site? (in nA) Answer 1.11868
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Question 6 Consider the 2 experiments shown in the illustration. The experiments are carried out
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This note was uploaded on 02/09/2012 for the course BME 402 taught by Professor Mel during the Spring '06 term at USC.

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Homework 9 Solutions - Question 1 [For questions 1-5] A...

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