Limitations on detection of gradients of diffusible chemicals by axons

This paper applies a simple analysis of the statistical noise inherent in sensing concentrations of diffusible chemical factors to the problem of guidance of developing axons. We show that growth cones may be able to detect chemical changes of 0.5% across their width, and that guidance by a gradient is limited to distances below about 1 cm, even for a gradient of ideal shape. (C) 1999 Elsevier Science B.V. All rights reserved.

[1]  Herwig Baier,et al.  Axon Guidance: Stretching Gradients to the Limit , 1998, Neural Computation.

[2]  H. Baier,et al.  Axon guidance by gradients of a target-derived component. , 1992, Science.

[3]  Marc Tessier-Lavigne,et al.  Target attraction: Are developing axons guided by chemotropism? , 1991, Trends in Neurosciences.

[4]  H. Berg,et al.  Physics of chemoreception. , 1977, Biophysical journal.

[5]  Geoffrey J. Goodhill,et al.  Mathematical guidance for axons , 1998, Trends in Neurosciences.

[6]  M. Poo,et al.  Essential role of filopodia in chemotropic turning of nerve growth cone induced by a glutamate gradient , 1996, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  C. Goodman,et al.  The Molecular Biology of Axon Guidance , 1996, Science.

[8]  G. Goodhill Diffusion in Axon Guidance , 1997, The European journal of neuroscience.

[9]  Timothy E. Kennedy,et al.  Netrins are diffusible chemotropic factors for commissural axons in the embryonic spinal cord , 1994, Cell.