Journal
JOURNAL OF COMPUTATIONAL NEUROSCIENCE
Volume 28, Issue 1, Pages 77-89Publisher
SPRINGER
DOI: 10.1007/s10827-009-0188-9
Keywords
CaMKII; Reaction-diffusion equations; Traveling waves; Fisher's equation
Funding
- National Science Foundation [DMS 0813677, RTG 0354259]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0813677] Funding Source: National Science Foundation
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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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