Continuum model of tubulin-driven neurite elongation (Graham et al 2006)

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Accession:59581
This model investigates the elongation over time of a single developing neurite (axon or dendrite). Our neurite growth model describes the elongation of a single,unbranched neurite in terms of the rate of extension of the microtubule cytoskeleton. The cytoskeleton is not explicitly modelled, but its construction is assumed to depend on the available free tubulin at the growing neurite tip.
References:
1 . Graham BP, Lauchlan K, McLean DR (2006) Dynamics of outgrowth in a continuum model of neurite elongation. J Comput Neurosci 20:43-60 [PubMed]
2 . Graham BP, van Ooyen A (2006) Mathematical modelling and numerical simulation of the morphological development of neurons. BMC Neurosci 7 Suppl 1:S9 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Axon; Dendrite;
Brain Region(s)/Organism:
Cell Type(s):
Channel(s):
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: MATLAB;
Model Concept(s): Development; Olfaction;
Implementer(s): Graham, Bruce [B.Graham at cs.stir.ac.uk];
function [calcp] = CMNG_calcparams(simp, modp)
% CMNG_calcparams - Calculate parameters from user-defined values
% Continuum Model for Neurite Outgrowth with Autoregulation
% Version 1.0 (BPG & DRM 5-2-05)

calcp.alpha = modp.a/(modp.rg*modp.c0)
calcp.beta = (modp.g*modp.D)/(modp.rg*modp.rg*modp.c0*modp.c0)
calcp.gamma = modp.sg/(modp.rg*modp.c0)
calcp.phi = (modp.e0*modp.D)/(modp.rg*modp.c0)
calcp.rho = modp.el/modp.e0
calcp.sigma = modp.zl/(modp.e0*modp.c0)
calcp.theta  = modp.er/modp.e0;
calcp.t0 = modp.D/(modp.rg*modp.rg*modp.c0*modp.c0);  % nondimensionalise time
calcp.delaystep = round(modp.rdt/(calcp.t0*simp.dt));  % AR delay time step
calcp.jmax = round(simp.tmax/(calcp.t0*simp.dt))      % final time step index
calcp.dy = 1/simp.N;                   % nondimensional spatial step

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