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Barriers to Diffusion in Dendrites and Estimation of Calcium Spread Following Synaptic Inputs

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  • Armin Biess
  • Eduard Korkotian
  • David Holcman

Abstract

The motion of ions, molecules or proteins in dendrites is restricted by cytoplasmic obstacles such as organelles, microtubules and actin network. To account for molecular crowding, we study the effect of diffusion barriers on local calcium spread in a dendrite. We first present a model based on a dimension reduction approach to approximate a three dimensional diffusion in a cylindrical dendrite by a one-dimensional effective diffusion process. By comparing uncaging experiments of an inert dye in a spiny dendrite and in a thin glass tube, we quantify the change in diffusion constants due to molecular crowding as Dcyto/Dwater = 1/20. We validate our approach by reconstructing the uncaging experiments using Brownian simulations in a realistic 3D model dendrite. Finally, we construct a reduced reaction-diffusion equation to model calcium spread in a dendrite under the presence of additional buffers, pumps and synaptic input. We find that for moderate crowding, calcium dynamics is mainly regulated by the buffer concentration, but not by the cytoplasmic crowding, dendritic spines or synaptic inputs. Following high frequency stimulations, we predict that calcium spread in dendrites is limited to small microdomains of the order of a few microns (

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  • Armin Biess & Eduard Korkotian & David Holcman, 2011. "Barriers to Diffusion in Dendrites and Estimation of Calcium Spread Following Synaptic Inputs," PLOS Computational Biology, Public Library of Science, vol. 7(10), pages 1-14, October.
    • Handle: RePEc:plo:pcbi00:1002182
    DOI: 10.1371/journal.pcbi.1002182
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    1. Aren J. Borgdorff & Daniel Choquet, 2002. "Regulation of AMPA receptor lateral movements," Nature, Nature, vol. 417(6889), pages 649-653, June.
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    1. Kanishka Basnayake & David Mazaud & Alexis Bemelmans & Nathalie Rouach & Eduard Korkotian & David Holcman, 2019. "Fast calcium transients in dendritic spines driven by extreme statistics," PLOS Biology, Public Library of Science, vol. 17(6), pages 1-26, June.

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