The resistance of the axoplasam of myelinated axon.

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Chapter 18, Problem 4E

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The resistance of the axoplasam of myelinated axon.

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12. (a) Using Eq. AQ=CAV and the data in the Table, calculate the number of ions entering the axon during the action potential, per meter of nonmyelinated axon length. (The charge on the ion is 1.6 x 10-19 coulomb.) (b) During the resting state of the axon, typical concentrations of sodium and potassium ions inside the axon are 15 and 150 millimole/liter, respectively. From the data in the Table, calculate the number of ions per meter length of the axon. Table 13.1 Properties of Sample Axons Hint: 1 F (farad) = 1coulomb/1 volt Property Nonmyelinated axon Myelinated axon Axon radius 5 x 10-m 5 x 10-6 m 1 mole /liter = 6.02 x 1020 particles (ions, atoms, etc. ) Resistance per unit length of fluid cm 6.37 x 10°2/m 6.37 x 10°2/m both inside and outside axon (r) Conductivity per unit length of axon membrane (gm) 1.25 x 10-4 mho/m In the resting state, the axon voltage is -70mV. During the pulse, the voltage changes to about +30mV, resulting in a net voltage change across the membrane of 100…

Assume an axon has the same characteristics as the class example except the radius of the axon is 0.005 mm and the membrane thickness is 20.0 nm. The percentage fractional change in the concentration of Na+ ions in the axon during one action potential is %? Record the answer to the nearest one thousandth.

Let’s say that myelination increases the membrane resistance by a factor of 1000. By what factor does the length constant increase? Why?