Event-based pattern detection in active dendrites

Many behavioural tasks require an animal to integrate information on a slow timescale that can exceed hundreds of milliseconds. How this is realized by neurons with membrane time constants on the order of tens of milliseconds or less remains an open question. We show, how the interaction of two kinds of events within the dendritic tree, excitatory postsynaptic potentials and locally generated dendritic plateau potentials, can allow a single neuron to detect specific sequences of spiking input on such slow timescales. Our conceptual model reveals, how the morphology of a neuron’s dendritic tree determines its computational function, which can range from a simple logic gate to the gradual integration of evidence to the detection of complex spatio-temporal spike-sequences on long timescales. As an example, we illustrate in a simulated navigation task how this mechanism can even allow individual neurons to reliably detect specific movement trajectories with high tolerance for timing variability. We relate our results to conclusive findings in neurobiology and discuss implications for both experimental and theoretical neuroscience. Author Summary The recognition of patterns that span multiple timescales is a critical function of the brain. This is a conceptual challenge for all neuron models that rely on the passive integration of synaptic inputs and are therefore limited to the rigid millisecond timescale of post-synaptic currents. However, detailed biological measurements recently revealed that single neurons actively generate localized plateau potentials within the dendritic tree that can last hundreds of milliseconds. Here, we investigate single-neuron computation in a model that adheres to these findings but is intentionally simple. Our analysis reveals how plateaus act as memory traces, and their interaction as defined by the dendritic morphology of a neuron gives rise to complex non-linear computation. We demonstrate how this mechanism enables individual neurons to solve difficult, behaviorally relevant tasks that are commonly studied on the network-level, such as the detection of variable input sequences or the integration of evidence on long timescales. We also characterize computation in our model using rate-based analysis tools, demonstrate why our proposed mechanism of dendritic computation cannot be detected under this analysis and suggest an alternative based on plateau timings. The interaction of plateau events in dendritic trees is, according to our argument, an elementary principle of neural computation which implies the need for a fundamental change of perspective on the computational function of neurons.

[1]  N. Spruston,et al.  Conditional dendritic spike propagation following distal synaptic activation of hippocampal CA1 pyramidal neurons , 2005, Nature Neuroscience.

[2]  Anthony A. Hyman,et al.  Mitosis : a subject collection from Cold Spring Harbor Perspectives in biology , 2015 .

[3]  Bartlett W. Mel,et al.  Location-Dependent Effects of Inhibition on Local Spiking in Pyramidal Neuron Dendrites , 2012, PLoS Comput. Biol..

[4]  T. Poggio,et al.  Retinal ganglion cells: a functional interpretation of dendritic morphology. , 1982, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[5]  R. H. Evans,et al.  Excitatory amino acid transmitters. , 1981, Annual review of pharmacology and toxicology.

[6]  Pulin Gong,et al.  Detection and analysis of spatiotemporal patterns in brain activity , 2018, PLoS Comput. Biol..

[7]  Subutai Ahmad,et al.  Why Neurons Have Thousands of Synapses, a Theory of Sequence Memory in Neocortex , 2015, Front. Neural Circuits.

[8]  Nathalie L Rochefort,et al.  Dendritic organization of sensory input to cortical neurons in vivo , 2010, Nature.

[9]  Bernd Kuhn,et al.  NMDA Spike/Plateau Potentials in Dendrites of Thalamocortical Neurons , 2014, The Journal of Neuroscience.

[10]  J. Magee,et al.  State-Dependent Dendritic Computation in Hippocampal CA1 Pyramidal Neurons , 2006, The Journal of Neuroscience.

[11]  M. Tsodyks,et al.  Synaptic Theory of Working Memory , 2008, Science.

[12]  V. Jayaraman,et al.  Encoding and Decoding of Overlapping Odor Sequences , 2006, Neuron.

[13]  Alexander Mathis,et al.  Connecting multiple spatial scales to decode the population activity of grid cells , 2015, Science Advances.

[14]  Mahendra Singh,et al.  A Well-Defined Readily Releasable Pool with Fixed Capacity for Storing Vesicles at Calyx of Held , 2016, PLoS Comput. Biol..

[15]  G. Turrigiano Homeostatic synaptic plasticity: local and global mechanisms for stabilizing neuronal function. , 2012, Cold Spring Harbor perspectives in biology.

[16]  J. Magee,et al.  Integrative Properties of Radial Oblique Dendrites in Hippocampal CA1 Pyramidal Neurons , 2006, Neuron.

[17]  L. Abbott,et al.  Competitive Hebbian learning through spike-timing-dependent synaptic plasticity , 2000, Nature Neuroscience.

[18]  H. Eichenbaum On the Integration of Space, Time, and Memory , 2017, Neuron.

[19]  N. Spruston,et al.  Synaptic Depolarization Is More Effective than Back-Propagating Action Potentials during Induction of Associative Long-Term Potentiation in Hippocampal Pyramidal Neurons , 2009, The Journal of Neuroscience.

[20]  J. Fodor,et al.  Connectionism and cognitive architecture: A critical analysis , 1988, Cognition.

[21]  K. Lashley The problem of serial order in behavior , 1951 .

[22]  Wen-Liang L Zhou,et al.  The decade of the dendritic NMDA spike , 2010, Journal of neuroscience research.

[23]  D. Poeppel,et al.  Phase Patterns of Neuronal Responses Reliably Discriminate Speech in Human Auditory Cortex , 2007, Neuron.

[24]  Bartlett W. Mel,et al.  Pyramidal Neuron as Two-Layer Neural Network , 2003, Neuron.

[25]  N. Spruston,et al.  Determinants of Voltage Attenuation in Neocortical Pyramidal Neuron Dendrites , 1998, The Journal of Neuroscience.

[26]  W. Rall Electrophysiology of a dendritic neuron model. , 1962, Biophysical journal.

[27]  S. Heinemann,et al.  Cloned glutamate receptors. , 1994, Annual review of neuroscience.

[28]  J. Magee,et al.  On the Initiation and Propagation of Dendritic Spikes in CA1 Pyramidal Neurons , 2004, The Journal of Neuroscience.

[29]  C. Stevens Quantal release of neurotransmitter and long-term potentiation , 1993, Cell.

[30]  Alan Carleton,et al.  Dynamic Ensemble Odor Coding in the Mammalian Olfactory Bulb: Sensory Information at Different Timescales , 2008, Neuron.

[31]  M. Häusser,et al.  Dendritic Discrimination of Temporal Input Sequences in Cortical Neurons , 2010, Science.

[32]  Erik De Schutter,et al.  Voltage- and Branch-specific Climbing Fiber Responses in Purkinje Cells , 2018, bioRxiv.

[33]  Yong Jeong,et al.  Classification of Spatiotemporal Neural Activity Patterns in Brain Imaging Data , 2018, Scientific Reports.

[34]  Matthew E Larkum,et al.  Synaptic clustering by dendritic signalling mechanisms , 2008, Current Opinion in Neurobiology.

[35]  J. Magee,et al.  Somatic EPSP amplitude is independent of synapse location in hippocampal pyramidal neurons , 2000, Nature Neuroscience.

[36]  S. Antic,et al.  Spiny neurons of amygdala, striatum, and cortex use dendritic plateau potentials to detect network UP states , 2014, Front. Cell. Neurosci..

[37]  Johanni Brea,et al.  Prospective Coding by Spiking Neurons , 2016, PLoS Comput. Biol..

[38]  M. Häusser,et al.  The single dendritic branch as a fundamental functional unit in the nervous system , 2010, Current Opinion in Neurobiology.

[39]  N. Spruston,et al.  Postsynaptic depolarization requirements for LTP and LTD: a critique of spike timing-dependent plasticity , 2005, Nature Neuroscience.

[40]  Alan Edelman,et al.  Julia: A Fresh Approach to Numerical Computing , 2014, SIAM Rev..

[41]  Jackie Schiller,et al.  Spatiotemporally graded NMDA spike/plateau potentials in basal dendrites of neocortical pyramidal neurons. , 2008, Journal of neurophysiology.

[42]  Paul A. Rhodes,et al.  The Properties and Implications of NMDA Spikes in Neocortical Pyramidal Cells , 2006, The Journal of Neuroscience.

[43]  Claudia Clopath,et al.  Modeling somatic and dendritic spike mediated plasticity at the single neuron and network level , 2017, Nature Communications.

[44]  M. Larkum,et al.  Properties of Layer 6 Pyramidal Neuron Apical Dendrites , 2010, The Journal of Neuroscience.

[45]  Bryan J MacLennan,et al.  Functional clustering of dendritic activity during decision-making , 2018, bioRxiv.

[46]  J. Schiller,et al.  Active properties of neocortical pyramidal neuron dendrites. , 2013, Annual review of neuroscience.

[47]  M. London,et al.  Dendritic computation. , 2005, Annual review of neuroscience.

[48]  O. Oscarsson,et al.  Prolonged depolarization elicited in Purkinje cell dendrites by climbing fibre impulses in the cat. , 1981, The Journal of physiology.

[49]  H. Markram,et al.  Coding and learning of behavioral sequences , 2004, Trends in Neurosciences.

[50]  D. R. Euston,et al.  Fast-Forward Playback of Recent Memory Sequences in Prefrontal Cortex During Sleep , 2007, Science.

[51]  Norio Matsuki,et al.  Locally Synchronized Synaptic Inputs , 2012, Science.

[52]  J. O'Keefe,et al.  The hippocampus as a spatial map. Preliminary evidence from unit activity in the freely-moving rat. , 1971, Brain research.

[53]  Christine Grienberger,et al.  NMDA Receptor-Dependent Multidendrite Ca2+ Spikes Required for Hippocampal Burst Firing In Vivo , 2014, Neuron.

[54]  Gregor Schöner,et al.  An embodied account of serial order: How instabilities drive sequence generation , 2010, Neural Networks.

[55]  J. Lübke,et al.  Functional Properties of AMPA and NMDA Receptors Expressed in Identified Types of Basal Ganglia Neurons , 1997, The Journal of Neuroscience.

[56]  B. Sakmann,et al.  Developmental and regional expression in the rat brain and functional properties of four NMDA receptors , 1994, Neuron.

[57]  N. Spruston Pyramidal neurons: dendritic structure and synaptic integration , 2008, Nature Reviews Neuroscience.

[58]  M. Colonnier,et al.  A laminar analysis of the number of round‐asymmetrical and flat‐symmetrical synapses on spines, dendritic trunks, and cell bodies in area 17 of the cat , 1985, The Journal of comparative neurology.

[59]  T. Hafting,et al.  Microstructure of a spatial map in the entorhinal cortex , 2005, Nature.

[60]  M. Häusser,et al.  Synaptic function: Dendritic democracy , 2001, Current Biology.

[61]  Bartlett W. Mel,et al.  Computational subunits in thin dendrites of pyramidal cells , 2004, Nature Neuroscience.

[62]  Volkmar Lessmann,et al.  Back-propagating action potential , 2008, Communicative & integrative biology.

[63]  Henry Markram,et al.  Timed Synaptic Inhibition Shapes NMDA Spikes, Influencing Local Dendritic Processing and Global I/O Properties of Cortical Neurons. , 2017, Cell reports.

[64]  J. Simpson THE RELEASE OF NEURAL TRANSMITTER SUBSTANCES , 1969 .

[65]  Anthony N. Burkitt,et al.  A Review of the Integrate-and-fire Neuron Model: I. Homogeneous Synaptic Input , 2006, Biological Cybernetics.