Diffusion in axon guidance

Goodhill, GJ (1997) Diffusion in axon guidance. European Journal of Neuroscience, 9 7: 1414-1421. doi:10.1111/j.1460-9568.1997.tb01496.x

Author Goodhill, GJ
Title Diffusion in axon guidance
Journal name European Journal of Neuroscience   Check publisher's open access policy
ISSN 0953-816X
Publication date 1997-07-01
Year available 1997
Sub-type Article (original research)
DOI 10.1111/j.1460-9568.1997.tb01496.x
Open Access Status Not yet assessed
Volume 9
Issue 7
Start page 1414
End page 1421
Total pages 8
Place of publication OXFORD
Language eng
Abstract Axon guidance by target-derived diffusible factors plays an important role in the development of the nervous system. This paper considers the constraints imposed on this process by the mathematics of diffusion. A point source continuously producing a factor into an infinite three-dimensional volume is considered as a model for both the in vivo and in vitro situation. Basic constraints for effective guidance are assumed to be that the concentration falls between certain maximum and minimum limits, and that the percentage change in concentration across the width of the growth cone exceeds a certain minimum value. The evolution of the shape of the gradient over time is analysed. Using biologically reasonable parameter values, it is shown that the maximum range over which growth cone guidance by a diffusible factor is possible for large times (several days) after the start of the production of the factor is 500-1000 mu m. This maximum distance is independent of the diffusion constant of the diffusing molecule, applies to both chemoattractants and chemorepellents, and agrees with experimental data. At earlier times, however, the constraints may be satisfied for distances up to several millimetres. The time it takes for this maximum guidance distance to fall to the asymptotic value depends on the diffusion constant. This time is a few hours for a small molecule but as much as a few days for a large molecule. The model therefore predicts that guidance over distances larger than 1000 mu m is possible if the start of production of the factor is carefully matched to the time when guidance is required.
Keyword chemotaxis
diffusible factors
growth cone
Nerve Growth-Factor
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: ResearcherID Downloads - Archived
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