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Instabilities during the dendritic and axonal development of neuronal form

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  • Hentschel, H.G.E.
  • Samuels, D.
  • Fine, A.

Abstract

We present physical mechanisms for both dendritic branching and axonal differentiation during neuronal growth. Neuronal dendritic arbors have a growth and form consistent with the concept that shape is controlled by the local submembrane concentration of the calcium ion. We describe a class of dynamic instabilities for the generation of such dendritic branching based on diffusion-controlled growth through biologically active membranes. The interaction of diffusion and active transport of a morphogen whose concentration at the neurite tips influences the growth rate can lead to an instability involving winner-take-all growth, forming a single, quickly growing axon and inhibiting the growth of the other neurites. The patterns of dendritic and axonal differentiation found are compared to the development of real neurons under similar conditions.

Suggested Citation

  • Hentschel, H.G.E. & Samuels, D. & Fine, A., 1998. "Instabilities during the dendritic and axonal development of neuronal form," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 46-61.
    • Handle: RePEc:eee:phsmap:v:254:y:1998:i:1:p:46-61
    DOI: 10.1016/S0378-4371(98)00011-9
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