Induced Excitation and Synchronization of Nerve Impulses in Two Parallel Unmyelinated Fibers

The interaction of nerve impulses in two adjacent fibers has been treated quantitatively. Calculations were made on the basis of equations describing the propagation of impulses in electrically equivalent parallel transmission lines that contain the active membrane current elements proposed by Hodgkin and Huxley. The coupling between adjacent fibers is simulated by a resistive network. The effects of coupling appear to be as follows: while an impulse is traveling along one fiber, a change in the excitability of the other develops, and it has also been confirmed that, in the special case of strongly coupled fibers, excitation of the parallel fiber can be induced by the active one. In the case of parallel conduction of impulses in each fiber, synchronization of their conduction velocities becomes apparent when the inherent velocities of the impulses differ by not more than 20 percent. In general, the closer fibers approach one another and/or the greater the resistance of the interstitial fluid, the stronger is the apparent effect of interaction between impulses. The results of the present simulation are compared with the experimental observation by Katz and Schmitt.