Explanation Given information: The proportion f, of open channels in millivolts (mV) is a function of the membrane potential V (voltage inside the cell minus external voltage). f ( V ) = 1 1 + e − ( V + 25 ) / 2 . Calculation: The given function can be written as f ( V ) = 1 1 + e − ( V + 25 ) / 2 To determine (b) At what voltage V are 10%, 50% and 90% of the channels open?

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Chapter 4.7, Problem 23P

To determine

(a)

Calculate the values of L, K and C in the logistic formula for f : f(V)=L1+Ce−kV.

To determine

(b)

At what voltage V are 10%, 50% and 90% of the channels open?

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Chapter 4.7, Problem 22P

Chapter 4.7, Problem 24P

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Chapter 4 Solutions

APPLIED CALCULUS-PRINT COMPANION (LL)

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

Ch. 4.1 - Prob. 11P Ch. 4.1 - Prob. 12P Ch. 4.1 - Prob. 13P Ch. 4.1 - Prob. 14P Ch. 4.1 - Prob. 15P Ch. 4.1 - Prob. 16P Ch. 4.1 - Prob. 17P Ch. 4.1 - Prob. 18P Ch. 4.1 - Prob. 19P Ch. 4.1 - Prob. 20P Ch. 4.1 - Prob. 21P Ch. 4.1 - Prob. 22P Ch. 4.1 - Prob. 23P Ch. 4.1 - Prob. 24P Ch. 4.1 - Prob. 25P Ch. 4.1 - Prob. 26P Ch. 4.1 - Prob. 27P Ch. 4.1 - Prob. 28P Ch. 4.1 - Prob. 29P Ch. 4.1 - Prob. 30P Ch. 4.1 - Prob. 31P Ch. 4.1 - Prob. 32P Ch. 4.1 - Prob. 33P Ch. 4.1 - Prob. 34P Ch. 4.1 - Prob. 35P Ch. 4.1 - Prob. 36P Ch. 4.1 - Prob. 37P Ch. 4.1 - Prob. 38P Ch. 4.1 - Prob. 39P Ch. 4.1 - Prob. 40P Ch. 4.1 - Prob. 41P Ch. 4.1 - Prob. 42P Ch. 4.1 - Prob. 43P Ch. 4.1 - Prob. 44P Ch. 4.1 - Prob. 45P Ch. 4.1 - Prob. 46P Ch. 4.1 - Prob. 47P Ch. 4.1 - Prob. 48P Ch. 4.1 - Prob. 49P Ch. 4.1 - Prob. 50P Ch. 4.1 - Prob. 51P Ch. 4.1 - Prob. 52P Ch. 4.1 - Prob. 53P Ch. 4.1 - Prob. 54P Ch. 4.1 - Prob. 55P Ch. 4.1 - Prob. 56P Ch. 4.1 - Prob. 57P Ch. 4.1 - Prob. 58P Ch. 4.2 - Prob. 1P Ch. 4.2 - Prob. 2P Ch. 4.2 - 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(a) Calculate the values of L, K and C in the logistic formula for f : f ( V ) = L 1 + C e − k V .

Solution Summary: The author calculates the values of L, K and C in the logistic formula for f. The proportion of open channels in millivolts is a function of the membrane potential V.

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(a)

Calculate the values of L, K and C in the logistic formula for f : f(V)=L1+Ce−kV.

(b)

At what voltage V are 10%, 50% and 90% of the channels open?

Want to see the full answer?

Chapter 4 Solutions

(a) Calculate the values of L, K and C in the logistic formula for f : f ( V ) = L 1 + C e − k V .

Solution Summary: The author calculates the values of L, K and C in the logistic formula for f. The proportion of open channels in millivolts is a function of the membrane potential V.

Videos

(a) Calculate the values of L, K and C in the logistic formula for f : f(V)=L1+Ce−kV.

(b) At what voltage V are 10%, 50% and 90% of the channels open?

Want to see the full answer?

Chapter 4 Solutions

(a)

Calculate the values of L, K and C in the logistic formula for f : f(V)=L1+Ce−kV.

(b)

At what voltage V are 10%, 50% and 90% of the channels open?