Figure 5.
Two oppositely directed quasi-solitons (solitary waves) along an infinitely long neuronal branchlet result in a head-on collision. The collision occurred by linear superposition of the solitary waves. To differentiate the amplitudes of the traveling wave solutions expressed in terms of the membrane potential U*(X, Xp 1 + Xp 2; T) obtained from (12) as a function of electrotonic distance (X) and dimensionless time (T), the quasi-soliton moving to the right was normalized by U*(Xp 1, Xp 1 + Xp 2; 0) and the quasi-soliton moving to the left was half-normalized by 2U*(Xp 2, Xp 1 + Xp 2; 0). Both quasi-solitons propagate with a dimensionless conduction velocity of ν = 1.506. Parameters used were: γ = 0.001, Xp 1 = 4.398, Xp 2 = 5.602.