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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
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Issue Date: Oct-2006
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.
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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".

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