Parallel simulation of axon growth in the nervous system
In this paper we discuss a model from neurobiology, which describes theoutgrowth of axons from neurons in the nervous system. The model combines ordinary differential equations, defining the movement of the axons, with parabolic partial differential equations. The parabolic equations model the concentrations of chemicals. The axons are guided by the gradients of these chemoattractant and chemorepellant concentrations.We briefly discuss the numerical techniques that we have used to solve thiscoupled parabolic-gradient system. Special attention is given to the parallel implementation on the SGI Origin 3000 (Teras), a multi-processor machine. For that purpose we use the OpenMP standard. Several parallelization strategies are introduced and tested on the basis of a test example. Simulation results as well as performance results are reported.
|Performance Analysis and Design Aids (acm B.4.4), Concurrent Programming (acm D.1.3), Partial Differential Equations (acm G.1.8), LIFE AND MEDICAL SCIENCES (acm J.3)|
|Method of lines (msc 65M20), Parallel computation (msc 65Y05), Parallel algorithms (msc 68W10), General biology and biomathematics (msc 92B05)|
|Modelling, Analysis and Simulation [MAS]|
Wensch, J, & Sommeijer, B.P. (2002). Parallel simulation of axon growth in the nervous system. Modelling, Analysis and Simulation [MAS]. CWI.