Dynamics of a Mixed Parabolic-Gradient System. Modelling, Analysis and Simulation. (MAS)

摘要

In the current paper the dynamics of a mixed parabolic-gradient system is examined. The system, which is a coupled system of parabolic equations and gradient equations, acts as the first model for the outgrowth of axons in a developing nervous sysetem. For modeling considerations it is relevant to know the influence of the parameters in the system and the source profiles in the parabolic equations on the dyamics. These subjects are discussed together with an approximation which use the quasi-steady-state solutions of the parabolic equations instead of the parabolic equations themselves. Some othe findings are demonstrated by numerical simulations.