A reaction-diffusion model for

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A reaction-diffusion model for calcium in neurons Mauricio LABADIE CAMS - EHESS Université de Paris 6 Kamel HAMDACHE CMAP Ecole Polytechnique CMAP Ecole Polytechnique April 26th, 2007

neuron dendrite dendritic spine

dendritic spines 1 µm (10-6m) length 0.2 µm3 volume up to 300,000 spines per neuron more than 1013 spines in brain

dendritic spines are only in excitatory synapses 90% of excitatory synapses terminate on dendritic spines

axon terminal synapse dendritic spine

The determinant role of Ca2+ in synaptic plasticity Small rises in Ca2+ Large increases in Ca2+

ion channels