Section 2.3 Problem 10. R. Guttman (1966) measured the temperat dependence of th

Question

Section 2.3 Problem 10. R. Guttman (1966) measured the temperat dependence of the current pulse necessary to excite the axon. She found that for pulses shorter than a certain length r, a fixed amount of electric charge was necessary to make the nerve fire; for longer pulses, the current was fixed. This suggests that the axon integrates the current for a time the squid but no longer. The following data are for the integrating time vs temperature T (°C). Find an empirical exponential relationship between T and . T (C) 10 15 20 25 30 35 (ms) 4.1 3.4 1.9 1.4 0.7 0.6 0.4

Explanation / Answer

by plotting the data on excel and comparing the R squared values of different fits

5 4.1

10 3.4

15 1.9

20 1.4

25 0.7

30 0.6

35 0.4

the best R squared value is achieved for the following power relation

t = 0.0043T^2- 0.3012T+0.56429

here t is time in mili seconds

T is temperature in Celcius

R squared value for this fit comes out to be 0.9842 which is v ery close to 1

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