A mathematical model explains saturating axon guidance responses to molecular gradients

Nguyen, Huyen, Dayan, Peter, Pujic, Zac, Cooper-White, Justin and Goodhill, Geoffrey J. (2016) A mathematical model explains saturating axon guidance responses to molecular gradients. Elife, 5 FEBRUARY2016: . doi:10.7554/eLife.12248


Author Nguyen, Huyen
Dayan, Peter
Pujic, Zac
Cooper-White, Justin
Goodhill, Geoffrey J.
Title A mathematical model explains saturating axon guidance responses to molecular gradients
Journal name Elife   Check publisher's open access policy
ISSN 2050-084X
Publication date 2016-02-01
Year available 2016
Sub-type Article (original research)
DOI 10.7554/eLife.12248
Open Access Status DOI
Volume 5
Issue FEBRUARY2016
Total pages 25
Place of publication Cambridge, United Kingdom
Publisher eLife Sciences Publications
Language eng
Formatted abstract
Correct wiring is crucial for the proper functioning of the nervous system. Molecular gradients provide critical signals to guide growth cones, which are the motile tips of developing axons, to their targets. However, in vitro, growth cones trace highly stochastic trajectories, and exactly how molecular gradients bias their movement is unclear. Here, we introduce a mathematical model based on persistence, bias, and noise to describe this behaviour, constrained directly by measurements of the detailed statistics of growth cone movements in both attractive and repulsive gradients in a microfluidic device. This model provides a mathematical explanation for why average axon turning angles in gradients in vitro saturate very rapidly with time at relatively small values. This work introduces the most accurate predictive model of growth cone trajectories to date, and deepens our understanding of axon guidance events both in vitro and in vivo.
Keyword Nerve Growth Cones
Filopodial Dynamics
Elongation
Chemotaxis
Mechanisms
Receptors
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

 
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