Nature solved this problem for us by developing
myelinated axons carry our nerve impulses to body
extremities. Covering the whole surface of our fibers,
save for the very small (1 micron long and 10
microns in diameter) nodes of Ranvier, the myelin
essentially insulates the axon surface. It consists
of hundreds (I use 200 in most simulations) of
wraps passive membrane. Each wrap produces a
proportional increase in the resistance of the
underlying membrane and a reciprocal decrease in
the membrane capacitance per unit area.

The net effect of this wrapping is to restrict generation of action potentials to the nodes. Thus impulses essentially jump from node to node (saltatory -[Latin saltitorius , to "dancing" - conduction) This means that an active node essentially supplies only the energy to depolarize the next node and little charge to depolarize the very low capacitance of the myelinated internode. The net effect is that the velocity in such fibers is very fast, approximately that of the squid giant axon. Furthermore, because the surface-to-volume ratio becomes increases inversely with the diameter of a fiber, the energy consumed by a propagating impulse in unmyelinated axons of a few microns would be enormous. Thus the myelination not only provides a much faster propagation of impulses but also makes the net ionic withdraw from the ion concentration battery stores far less, a much more efficient system.
Extensive simulations of
saltatory
conduction have been carried out in my lab in an effort to
evaluate
the contributions of the various parameters to the velocity of
the
impulse.
Systematic variations of parameters revealed that the velocity
was