A diffusion-activation model of CaMKII translocation waves in dendrites |
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Authors: | Berton A Earnshaw Paul C Bressloff |
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Institution: | (1) Department of Mathematics, University of Utah, Salt Lake City, UT 84112-0090, USA;(2) Mathematical Institute, University of Oxford, 24–29 St. Giles’, Oxford, OX1 3LB, UK; |
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Abstract: | Ca2+-calmodulin-dependent protein kinase II (CaMKII) is a key regulator of glutamatergic synapses and plays an essential role
in many forms of synaptic plasticity. It has recently been observed that stimulating dendrites locally with a single glutamate/glycine
puff induces a local translocation of CaMKII into spines that subsequently spreads in a wave-like manner towards the distal
dendritic arbor. Here we present a mathematical model of the diffusion, activation and translocation of dendritic CaMKII.
We show how the nonlinear dynamics of CaMKII diffusion-activation generates a propagating translocation wave, provided that
the rate of activation is sufficiently fast. We also derive an explicit formula for the wave speed as a function of physiological
parameters such as the diffusivity of CaMKII and the density of spines. Our model provides a quantitative framework for understanding
the spread of CaMKII translocation and its possible role in heterosynaptic plasticity. |
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Keywords: | |
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