Calcium time course as a signal for spike-timing-dependent plasticity.

Calcium has been proposed as a postsynaptic signal underlying synaptic spike-timing-dependent plasticity (STDP). We examine this hypothesis with computational modeling based on experimental results from hippocampal cultures, some of which are presented here, in which pairs and triplets of pre- and postsynaptic spikes induce potentiation and depression in a temporally asymmetric way. Specifically, we present a set of model biochemical detectors, based on plausible molecular pathways, which make direct use of the time course of the calcium signal to reproduce these experimental STDP results. Our model features a modular structure, in which long-term potentiation (LTP) and depression (LTD) components compete to determine final plasticity outcomes; one aspect of this competition is a veto through which appropriate calcium time courses suppress LTD. Simulations of our model are also shown to be consistent with classical LTP and LTD induced by several presynaptic stimulation paradigms. Overall, our results provide computational evidence that, while the postsynaptic calcium time course contains sufficient information to distinguish various experimental long-term plasticity paradigms, small changes in the properties of back-propagation of action potentials or in synaptic dynamics can alter the calcium time course in ways that will significantly affect STDP induction by any detector based exclusively on postsynaptic calcium. This may account for the variability of STDP outcomes seen within hippocampal cultures, under repeated application of a single experimental protocol, as well as for that seen in multiple spike experiments across different systems.

[1]  E. Bienenstock,et al.  Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex , 1982, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[2]  R S Zucker,et al.  Postsynaptic calcium is sufficient for potentiation of hippocampal synaptic transmission. , 1988, Science.

[3]  R. Tsien,et al.  Inhibition of postsynaptic PKC or CaMKII blocks induction but not expression of LTP. , 1989, Science.

[4]  J. Lisman,et al.  A mechanism for the Hebb and the anti-Hebb processes underlying learning and memory. , 1989, Proceedings of the National Academy of Sciences of the United States of America.

[5]  R. Nicoll,et al.  An essential role for postsynaptic calmodulin and protein kinase activity in long-term potentiation , 1989, Nature.

[6]  CE Jahr,et al.  A quantitative description of NMDA receptor-channel kinetic behavior , 1990, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  M. Bear,et al.  Homosynaptic long-term depression in area CA1 of hippocampus and effects of N-methyl-D-aspartate receptor blockade. , 1992, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Y. Yaari,et al.  Kinetic properties of NMDA receptor‐mediated synaptic currents in rat hippocampal pyramidal cells versus interneurones. , 1993, The Journal of physiology.

[9]  C. Stevens,et al.  Calcium permeability of the N-methyl-D-aspartate receptor channel in hippocampal neurons in culture. , 1993, Proceedings of the National Academy of Sciences of the United States of America.

[10]  R. Traub,et al.  A branching dendritic model of a rodent CA3 pyramidal neurone. , 1994, The Journal of physiology.

[11]  J. Lisman The CaM kinase II hypothesis for the storage of synaptic memory , 1994, Trends in Neurosciences.

[12]  R. Malenka,et al.  Involvement of a calcineurin/ inhibitor-1 phosphatase cascade in hippocampal long-term depression , 1994, Nature.

[13]  V. Han,et al.  Synaptic plasticity in a cerebellum-like structure depends on temporal order , 1997, Nature.

[14]  D. Johnston,et al.  A Synaptically Controlled, Associative Signal for Hebbian Plasticity in Hippocampal Neurons , 1997, Science.

[15]  D. Johnston,et al.  Regulation of Synaptic Efficacy by Coincidence of Postsynaptic APs and EPSPs , 1997 .

[16]  B. Sakmann,et al.  Calcium dynamics in single spines during coincident pre- and postsynaptic activity depend on relative timing of back-propagating action potentials and subthreshold excitatory postsynaptic potentials. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[17]  Li I. Zhang,et al.  A critical window for cooperation and competition among developing retinotectal synapses , 1998, Nature.

[18]  G. Bi,et al.  Synaptic Modifications in Cultured Hippocampal Neurons: Dependence on Spike Timing, Synaptic Strength, and Postsynaptic Cell Type , 1998, The Journal of Neuroscience.

[19]  D. Debanne,et al.  Long‐term synaptic plasticity between pairs of individual CA3 pyramidal cells in rat hippocampal slice cultures , 1998, The Journal of physiology.

[20]  W. Denk,et al.  Mechanisms of Calcium Influx into Hippocampal Spines: Heterogeneity among Spines, Coincidence Detection by NMDA Receptors, and Optical Quantal Analysis , 1999, The Journal of Neuroscience.

[21]  J. Connor,et al.  Correlated measurements of free and total intracellular calcium concentration in central nervous system neurons , 1999, Microscopy research and technique.

[22]  R. Zucker,et al.  Selective induction of LTP and LTD by postsynaptic [Ca2+]i elevation. , 1999, Journal of neurophysiology.

[23]  U. Bhalla,et al.  Emergent properties of networks of biological signaling pathways. , 1999, Science.

[24]  H Wang,et al.  Priming-induced shift in synaptic plasticity in the rat hippocampus. , 1999, Journal of neurophysiology.

[25]  L. Abbott,et al.  Synaptic plasticity: taming the beast , 2000, Nature Neuroscience.

[26]  A. Zhabotinsky Bistability in the Ca(2+)/calmodulin-dependent protein kinase-phosphatase system. , 2000, Biophysical journal.

[27]  A. Konnerth,et al.  NMDA Receptor-Mediated Subthreshold Ca2+ Signals in Spines of Hippocampal Neurons , 2000, The Journal of Neuroscience.

[28]  M. Poo,et al.  Calcium stores regulate the polarity and input specificity of synaptic modification , 2000, Nature.

[29]  M. Bear,et al.  Regulation of distinct AMPA receptor phosphorylation sites during bidirectional synaptic plasticity , 2000, Nature.

[30]  K. Svoboda,et al.  Estimating intracellular calcium concentrations and buffering without wavelength ratioing. , 2000, Biophysical journal.

[31]  T. Sejnowski,et al.  Dynamics of dendritic calcium transients evoked by quantal release at excitatory hippocampal synapses. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[32]  Henry Markram,et al.  An Algorithm for Modifying Neurotransmitter Release Probability Based on Pre- and Postsynaptic Spike Timing , 2001, Neural Computation.

[33]  Y. Dan,et al.  Stimulus Timing-Dependent Plasticity in Cortical Processing of Orientation , 2001, Neuron.

[34]  M. W. Brown,et al.  An experimental test of the role of postsynaptic calcium levels in determining synaptic strength using perirhinal cortex of rat , 2001, The Journal of physiology.

[35]  P. J. Sjöström,et al.  Rate, Timing, and Cooperativity Jointly Determine Cortical Synaptic Plasticity , 2001, Neuron.

[36]  J. Magee,et al.  Distance-Dependent Increase in AMPA Receptor Number in the Dendrites of Adult Hippocampal CA1 Pyramidal Neurons , 2001, The Journal of Neuroscience.

[37]  J. Lisman,et al.  A Model of Synaptic Memory A CaMKII/PP1 Switch that Potentiates Transmission by Organizing an AMPA Receptor Anchoring Assembly , 2001, Neuron.

[38]  G. Bi,et al.  Synaptic modification by correlated activity: Hebb's postulate revisited. , 2001, Annual review of neuroscience.

[39]  J E Lisman,et al.  Three Ca2+ levels affect plasticity differently: the LTP zone, the LTD zone and no man's land , 2001, The Journal of physiology.

[40]  K. Svoboda,et al.  The Life Cycle of Ca2+ Ions in Dendritic Spines , 2002, Neuron.

[41]  Shigeo Watanabe,et al.  Dendritic K+ channels contribute to spike-timing dependent long-term potentiation in hippocampal pyramidal neurons , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[42]  G. Bi,et al.  Temporal asymmetry in spike timing-dependent synaptic plasticity , 2002, Physiology & Behavior.

[43]  Guo-Qiang Bi,et al.  Spatiotemporal specificity of synaptic plasticity: cellular rules and mechanisms , 2002, Biological Cybernetics.

[44]  Walter Senn,et al.  Beyond spike timing: the role of nonlinear plasticity and unreliable synapses , 2002, Biological Cybernetics.

[45]  Rafael Yuste,et al.  Calcium Dynamics of Spines Depend on Their Dendritic Location , 2002, Neuron.

[46]  J. Lisman,et al.  The molecular basis of CaMKII function in synaptic and behavioural memory , 2002, Nature Reviews Neuroscience.

[47]  J. Lisman,et al.  A large sustained Ca2+ elevation occurs in unstimulated spines during the LTP pairing protocol but does not change synaptic strength , 2002, Hippocampus.

[48]  P. J. Sjöström,et al.  Spike timing, calcium signals and synaptic plasticity , 2002, Current Opinion in Neurobiology.

[49]  Jan Karbowski,et al.  Synchrony arising from a balanced synaptic plasticity in a network of heterogeneous neural oscillators. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[50]  L. Cooper,et al.  A unified model of NMDA receptor-dependent bidirectional synaptic plasticity , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[51]  K. Svoboda,et al.  Structure and function of dendritic spines. , 2002, Annual review of physiology.

[52]  Y. Dan,et al.  Spike-timing-dependent synaptic modification induced by natural spike trains , 2002, Nature.

[53]  Bard Ermentrout,et al.  Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students , 2002, Software, environments, tools.

[54]  U. Karmarkar,et al.  A model of spike-timing dependent plasticity: one or two coincidence detectors? , 2002, Journal of neurophysiology.

[55]  H. Abarbanel,et al.  Dynamical model of long-term synaptic plasticity , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[56]  Bartlett W. Mel,et al.  Arithmetic of Subthreshold Synaptic Summation in a Model CA1 Pyramidal Cell , 2003, Neuron.

[57]  P. J. Sjöström,et al.  Neocortical LTD via Coincident Activation of Presynaptic NMDA and Cannabinoid Receptors , 2003, Neuron.

[58]  Rafael Yuste,et al.  Calcium Microdomains in Aspiny Dendrites , 2003, Neuron.

[59]  Ramón Huerta,et al.  Biophysical model of synaptic plasticity dynamics , 2003, Biological Cybernetics.

[60]  Tobias Meyer,et al.  An ultrasensitive Ca2+/calmodulin-dependent protein kinase II-protein phosphatase 1 switch facilitates specificity in postsynaptic calcium signaling , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[61]  Eugene M. Izhikevich,et al.  Relating STDP to BCM , 2003, Neural Computation.

[62]  Michele Migliore,et al.  Role of an A-Type K+ Conductance in the Back-Propagation of Action Potentials in the Dendrites of Hippocampal Pyramidal Neurons , 1999, Journal of Computational Neuroscience.

[63]  M. J. Friedlander,et al.  The Kinetic Profile of Intracellular Calcium Predicts Long-Term Potentiation and Long-Term Depression , 2004, The Journal of Neuroscience.

[64]  Florentin Wörgötter,et al.  How the Shape of Pre- and Postsynaptic Signals Can Influence STDP: A Biophysical Model , 2004, Neural Computation.

[65]  William Holmes,et al.  Models of Calmodulin Trapping and CaM Kinase II Activation in a Dendritic Spine , 2004, Journal of Computational Neuroscience.

[66]  M. Poo,et al.  Bidirectional Modification of Presynaptic Neuronal Excitability Accompanying Spike Timing-Dependent Synaptic Plasticity , 2004, Neuron.

[67]  David W. Nauen,et al.  Coactivation and timing-dependent integration of synaptic potentiation and depression , 2005, Nature Neuroscience.

[68]  H. Shouval,et al.  Stochastic properties of synaptic transmission affect the shape of spike time-dependent plasticity curves. , 2005, Journal of neurophysiology.