Please use this identifier to cite or link to this item:
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: Mathematical modelling and numerical simulation of the morphological development of neurons
Author(s): Graham, Bruce
van Ooyen, Arjen
Contact Email:
Keywords: Computational intelligence
Fuzzy logic
Neural networks Computer science
Artificial intelligence Computer programs
Issue Date: Oct-2006
Date Deposited: 29-Jul-2009
Citation: Graham B & van Ooyen A (2006) Mathematical modelling and numerical simulation of the morphological development of neurons. BMC Neuroscience, 7 (Suppl 1), p. S9.;
Abstract: Background: The morphological development of neurons is a very complex process involving both genetic and environmental components. Mathematical modelling and numerical simulation are valuable tools in helping us unravel particular aspects of how individual neurons grow their characteristic morphologies and eventually form appropriate networks with each other. Methods: A variety of mathematical models that consider (1) neurite initiation (2) neurite elongation (3) axon pathfinding, and (4) neurite branching and dendritic shape formation are reviewed. The different mathematical techniques employed are also described. Results: Some comparison of modelling results with experimental data is made. A critique of different modelling techniques is given, leading to a proposal for a unified modelling environment for models of neuronal development. Conclusion: A unified mathematical and numerical simulation framework should lead to an expansion of work on models of neuronal development, as has occurred with compartmental models of neuronal electrical activity.
DOI Link: 10.1186/1471-2202-7-S1-S9
Rights: Published in BMC Neuroscience by BioMed Central Ltd.; © 2006 Graham and van Ooyen; licensee BioMed Central Ltd.; Publisher statement: "This is an open access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited".
Licence URL(s):

Files in This Item:
File Description SizeFormat 
Mathematical modelling and numerical simulation.pdfFulltext - Published Version320.66 kBAdobe PDFView/Open

This item is protected by original copyright

A file in this item is licensed under a Creative Commons License Creative Commons

Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved

If you believe that any material held in STORRE infringes copyright, please contact providing details and we will remove the Work from public display in STORRE and investigate your claim.