Synaptic plasticity is believed to represent the neural correlate of mammalian learning and memory function. It has been demonstrated that changes in synaptic conductance can be induced by approximately synchronous pairings of pre-and post-synaptic action potentials delivered at low frequencies. It has also been established that NMDAr-dependent Calcium influx into dendritic spines represents the critical signal for plasticity induction, and can account for this spike-timing dependent plasticity (STDP) as well as experimental data obtained using other stimulation protocols. However, subsequent empirical studies have delineated a more complex relationship between spike-timing, firing rate, stimulus duration and post-synaptic bursting in dictating changes in the conductance of hippocampal excitatory synapses. It has yet to be established whether the Calcium control hypothesis can account for this more recent data. Here, we present a detailed biophysical model of single dendritic spines on a CA1 pyramidal neuron, describe the NMDAr-dependent Calcium influx generated by different stimulation protocols, and present a parsimonious model of Calcium driven kinase and phosphotase dynamics that dictate transitions between binary synaptic weight states. We demonstrate the manner in which this model can account for various experimental observations of synaptic plasticity and be used to make predictions regarding the dynamics of depolarisation and NMDAr activation generated by STDP protocols as well as the synaptic weight change induced under other experimental conditions. We then discuss how this parsimonious, unified computational model of synaptic plasticity might be utilised to appraise the activity-dependent refinement of neural circuitry induced by more realistic firing patterns.
IntroductionSynaptic plasticity -the process of activity dependent change in synaptic conductance -is widely believed to represent the neural correlate of mammalian learning and memory function [1][2][3]. Since the first experimental demonstrations of long-term potentiation (LTP) and depression (LTD), a wealth of empirical data regarding the induction, expression and maintenance of synaptic plasticity in different cortical regions has been obtained [4][5][6][7][8]. In spite of the heterogeneity of plasticity mechanisms observed throughout the brain, changes in the strength of excitatory synapses afferent on CA1 pyramidal neurons in the hippocampus represent the best studied form in the mammalian cortex [9][10][11][12]. At these synapses, Calcium influx into dendritic spines represents the critical signal for synaptic plasticity induction [13][14][15][16][17][18][19][20]. Large, transient elevations in intracellular [Ca 2+ ] generate LTP via the preferential activation of kinase pathways while modest, sustained elevations in intracellular [Ca 2+ ] generate LTD via the preferential activation of phosphotase pathways [21][22][23][24][25]. Initially, empirical observations of synaptic plasticity were mediated by tetanic stimulation protoc...