Abstract
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 a first model for the outgrowth of axons in a developing nervous system. 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 dynamics. These subjects are discussed together with an approximation which uses the quasi-steady-state solutions of the parabolic equations instead of the parabolic equations themselves. Some of the findings are demonstrated by numerical simulations.
Highlights
CWI is the National Research Institute for Mathematics and Computer Science
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Summary
Analysis and Simulation On the dynamics of a mixed parabolic-gradient system J.K. Krottje REPORT MAS-R0220 AUGUST 31, 2002. CWI is the National Research Institute for Mathematics and Computer Science. CWI is a founding member of ERCIM, the European Research Consortium for Informatics and Mathematics. CWI's research has a theme-oriented structure and is grouped into four clusters. Listed below are the names of the clusters and in parentheses their acronyms. Probability, Networks and Algorithms (PNA) Software Engineering (SEN) Modelling, Analysis and Simulation (MAS) Information Systems (INS)
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