The length of an axon is 10 mm, and its time constant is 4 msec. A voltage change at one end of the axon is 120 mV, which results in a change of about 10.35 mV at the opposite end after 4 msec. Given this information, what is the length constant of the neuron? (Enter your answer in mm, rounded to the nearest whole number, without including the units.)
Answers
Answered by
1
Thus the length constant of the neuron is λ = 4.08 mm
Explanation:
We are given that:
- Length of axon = 10 mm
- Time constant = 4 m/s
- Voltage at one end = 120 m V
- Change at opposite end = 10.5 m V
Solution:
Difference between the adjustments = 37 %
Which is lower than its original amplitude = constant length
λ = length constant
10.35 mv = 120 mv e^-10 mm / λ
10.35 / 120 = C^-10 / λ
Multiply by ln on both sides.
ln (10.35 / 120) = ln (-10 / λ)
4.450 = 10 / λ
λ = 4.08 mm
Thus the length constant of the neuron is λ = 4.08 mm
Similar questions