Neural Coding of Cell Assemblies via Spike-Timing Self-Information

Abstract Cracking brain's neural code is of general interest. In contrast to the traditional view that enormous spike variability in resting states and stimulus-triggered responses reflects noise, here, we examine the “Neural Self-Information Theory” that the interspike-interval (ISI), or the silence-duration between 2 adjoining spikes, carries self-information that is inversely proportional to its variability-probability. Specifically, higher-probability ISIs convey minimal information because they reflect the ground state, whereas lower-probability ISIs carry more information, in the form of “positive” or “negative surprisals,” signifying the excitatory or inhibitory shifts from the ground state, respectively. These surprisals serve as the quanta of information to construct temporally coordinated cell-assembly ternary codes representing real-time cognitions. Accordingly, we devised a general decoding method and unbiasedly uncovered 15 cell assemblies underlying different sleep cycles, fear-memory experiences, spatial navigation, and 5-choice serial-reaction time (5CSRT) visual-discrimination behaviors. We further revealed that robust cell-assembly codes were generated by ISI surprisals constituted of ~20% of the skewed ISI gamma-distribution tails, conforming to the “Pareto Principle” that specifies, for many events—including communication—roughly 80% of the output or consequences come from 20% of the input or causes. These results demonstrate that real-time neural coding arises from the temporal assembly of neural-clique members via silence variability-based self-information codes.

[1]  Peter Dayan,et al.  The Effect of Correlated Variability on the Accuracy of a Population Code , 1999, Neural Computation.

[2]  Hui Kuang,et al.  Mild Blast Events Alter Anxiety, Memory, and Neural Activity Patterns in the Anterior Cingulate Cortex , 2013, PloS one.

[3]  Jun Liu,et al.  Changes in Heart Rate Variability Are Associated with Expression of Short-Term and Long-Term Contextual and Cued Fear Memories , 2013, PloS one.

[4]  Michael A. Lebedev,et al.  Rhythmically firing (20–50 Hz) neurons in monkey primary somatosensory cortex: Activity patterns during initiation of vibratory-cued hand movements , 1995, Journal of Computational Neuroscience.

[5]  K. Deisseroth,et al.  Prefrontal Parvalbumin Neurons in Control of Attention , 2016, Cell.

[6]  A. P. Georgopoulos,et al.  Variability and Correlated Noise in the Discharge of Neurons in Motor and Parietal Areas of the Primate Cortex , 1998, The Journal of Neuroscience.

[7]  A. Zador,et al.  Balanced inhibition underlies tuning and sharpens spike timing in auditory cortex , 2003, Nature.

[8]  Michael N. Shadlen,et al.  Noise, neural codes and cortical organization , 1994, Current Opinion in Neurobiology.

[9]  K. Harris,et al.  Gating of Sensory Input by Spontaneous Cortical Activity , 2013, The Journal of Neuroscience.

[10]  A. Grinvald,et al.  Interaction of sensory responses with spontaneous depolarization in layer 2/3 barrel cortex , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[11]  R. Stickgold,et al.  Sleep-Dependent θ Oscillations in the Human Hippocampus and Neocortex , 2003, The Journal of Neuroscience.

[12]  G. Buzsáki,et al.  Forward and reverse hippocampal place-cell sequences during ripples , 2007, Nature Neuroscience.

[13]  Hui Kuang,et al.  Temporal Dynamics of Distinct CA1 Cell Populations during Unconscious State Induced by Ketamine , 2010, PloS one.

[14]  M. Carandini,et al.  Cortical State Determines Global Variability and Correlations in Visual Cortex , 2015, The Journal of Neuroscience.

[15]  Matthijs A. A. van der Meer,et al.  Hippocampal Replay Is Not a Simple Function of Experience , 2010, Neuron.

[16]  P. Somogyi,et al.  Defined types of cortical interneurone structure space and spike timing in the hippocampus , 2005, The Journal of physiology.

[17]  M. Carandini,et al.  The Nature of Shared Cortical Variability , 2015, Neuron.

[18]  Alfred Ultsch Proof of Pareto’s 80/20 Law and Precise Limits for ABC-Analysis , 2002 .

[19]  J. Born,et al.  Sleep to Remember , 2006, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[20]  Guifen Chen,et al.  Large-scale neural ensemble recording in the brains of freely behaving mice , 2006, Journal of Neuroscience Methods.

[21]  Andrew M. Clark,et al.  Stimulus onset quenches neural variability: a widespread cortical phenomenon , 2010, Nature Neuroscience.

[22]  T. Sejnowski,et al.  Reliability of spike timing in neocortical neurons. , 1995, Science.

[23]  E. Adrian,et al.  The impulses produced by sensory nerve endings , 1926, The Journal of physiology.

[24]  J. Tsien,et al.  Distinct retrosplenial cortex cell populations and their spike dynamics during ketamine-induced unconscious state , 2017, PloS one.

[25]  Meng Li,et al.  Neural Code—Neural Self-information Theory on How Cell-Assembly Code Rises from Spike Time and Neuronal Variability , 2017, Front. Cell. Neurosci..

[26]  R. Muller,et al.  Place cell discharge is extremely variable during individual passes of the rat through the firing field. , 1998, Proceedings of the National Academy of Sciences of the United States of America.

[27]  Jadin C. Jackson,et al.  Quantitative measures of cluster quality for use in extracellular recordings , 2005, Neuroscience.

[28]  Asohan Amarasingham,et al.  Internally Generated Cell Assembly Sequences in the Rat Hippocampus , 2008, Science.

[29]  Min Zhuo,et al.  Neural Mechanisms Underlying Anxiety–Chronic Pain Interactions , 2016, Trends in Neurosciences.

[30]  J. Born,et al.  Sustained increase in hippocampal sharp-wave ripple activity during slow-wave sleep after learning. , 2008, Learning & memory.

[31]  John B. Trimper,et al.  Methodological Caveats in the Detection of Coordinated Replay between Place Cells and Grid Cells , 2017, Front. Syst. Neurosci..

[32]  Bita Moghaddam,et al.  Anterior Cingulate Neurons Represent Errors and Preparatory Attention within the Same Behavioral Sequence , 2009, The Journal of Neuroscience.

[33]  J. O’Neill,et al.  The reorganization and reactivation of hippocampal maps predict spatial memory performance , 2010, Nature Neuroscience.

[34]  Gustavo Deco,et al.  Stochastic dynamics as a principle of brain function , 2009, Progress in Neurobiology.

[35]  William W Lytton,et al.  Unmasking the CA1 Ensemble Place Code by Exposures to Small and Large Environments: More Place Cells and Multiple, Irregularly Arranged, and Expanded Place Fields in the Larger Space , 2008, The Journal of Neuroscience.

[36]  Paul J. Fitzgerald,et al.  Fear Expression Suppresses Medial Prefrontal Cortical Firing in Rats , 2016, PloS one.

[37]  J. Csicsvari,et al.  Organization of cell assemblies in the hippocampus , 2003, Nature.

[38]  Terrence J. Sejnowski,et al.  Neural codes and distributed representations: foundations of neural computation , 1999 .

[39]  Solaiman Shokur,et al.  A Brain-Machine Interface Enables Bimanual Arm Movements in Monkeys , 2013, Science Translational Medicine.

[40]  A. Grinvald,et al.  Dynamics of Ongoing Activity: Explanation of the Large Variability in Evoked Cortical Responses , 1996, Science.

[41]  He Cui,et al.  Spike-timing pattern operates as gamma-distribution across cell types, regions and animal species and is essential for naturally-occurring cognitive states , 2018 .

[42]  Michael J Kahana,et al.  Sleep-dependent theta oscillations in the human hippocampus and neocortex. , 2003, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[43]  J. Tsien,et al.  Organizing principles of real-time memory encoding: neural clique assemblies and universal neural codes , 2006, Trends in Neurosciences.

[44]  Jochen Triesch,et al.  Where’s the Noise? Key Features of Spontaneous Activity and Neural Variability Arise through Learning in a Deterministic Network , 2015, PLoS Comput. Biol..

[45]  P. Somogyi,et al.  Neuronal Diversity and Temporal Dynamics: The Unity of Hippocampal Circuit Operations , 2008, Science.

[46]  Simone Ferrari-Toniolo,et al.  Modulation of Neural Variability in Premotor, Motor, and Posterior Parietal Cortex during Change of Motor Intention , 2016, The Journal of Neuroscience.

[47]  A. Fenton,et al.  Coordinating different representations in the hippocampus , 2016, Neurobiology of Learning and Memory.

[48]  A. Fenton,et al.  Ensemble Place Codes in Hippocampus: CA1, CA3, and Dentate Gyrus Place Cells Have Multiple Place Fields in Large Environments , 2011, PloS one.

[49]  György Buzsáki,et al.  Neural Syntax: Cell Assemblies, Synapsembles, and Readers , 2010, Neuron.

[50]  J. Assad,et al.  Beyond Poisson: Increased Spike-Time Regularity across Primate Parietal Cortex , 2009, Neuron.

[51]  L. Pinneo On noise in the nervous system. , 1966, Psychological review.

[52]  B. McNaughton,et al.  Reactivation of hippocampal ensemble memories during sleep. , 1994, Science.

[53]  M. Jung,et al.  Neural circuits and mechanisms involved in Pavlovian fear conditioning: A critical review , 2006, Neuroscience & Biobehavioral Reviews.

[54]  Jun Liu,et al.  Heart Rate and Heart Rate Variability Assessment Identifies Individual Differences in Fear Response Magnitudes to Earthquake, Free Fall, and Air Puff in Mice , 2014, PloS one.

[55]  A. Pouget,et al.  Neural correlations, population coding and computation , 2006, Nature Reviews Neuroscience.

[56]  Alexandre Pouget,et al.  Origin of information-limiting noise correlations , 2015, Proceedings of the National Academy of Sciences.

[57]  Costantino Bresciani-Turroni On Pareto's law , 1937 .

[58]  G. P. Moore,et al.  Neuronal spike trains and stochastic point processes. I. The single spike train. , 1967, Biophysical journal.

[59]  Min Zhuo,et al.  Predicting Aversive Events and Terminating Fear in the Mouse Anterior Cingulate Cortex during Trace Fear Conditioning , 2012, The Journal of Neuroscience.

[60]  Gustavo Deco,et al.  Neural Variability in Premotor Cortex Is Modulated by Trial History and Predicts Behavioral Performance , 2013, Neuron.

[61]  Meng Li,et al.  Brain Computation Is Organized via Power-of-Two-Based Permutation Logic , 2016, Front. Syst. Neurosci..

[62]  S. Sara Sleep to Remember , 2017, The Journal of Neuroscience.

[63]  L. Colgin Rhythms of the hippocampal network , 2016, Nature Reviews Neuroscience.

[64]  Stephen L. Cowen,et al.  Organization of hippocampal cell assemblies based on theta phase precession , 2006, Hippocampus.

[65]  J. B. Ranck,et al.  Hippocampal theta rhythm and the firing of neurons in walking and urethane anesthetized rats , 2004, Experimental Brain Research.

[66]  Min Zhuo,et al.  Synaptic plasticity in the anterior cingulate cortex in acute and chronic pain , 2016, Nature Reviews Neuroscience.

[67]  C. Stevens,et al.  Input synchrony and the irregular firing of cortical neurons , 1998, Nature Neuroscience.

[68]  A. Pouget,et al.  Correlations and Neuronal Population Information. , 2016, Annual review of neuroscience.

[69]  Jun Liu,et al.  Theory of Connectivity: Nature and Nurture of Cell Assemblies and Cognitive Computation , 2016, Front. Neural Circuits.

[70]  E. Adrian,et al.  The impulses produced by sensory nerve endings , 1926, The Journal of physiology.

[71]  Kelvin E. Jones,et al.  Neuronal variability: noise or part of the signal? , 2005, Nature Reviews Neuroscience.

[72]  J. Csicsvari,et al.  Oscillatory Coupling of Hippocampal Pyramidal Cells and Interneurons in the Behaving Rat , 1999, The Journal of Neuroscience.

[73]  Michael N. Shadlen,et al.  Synchrony Unbound A Critical Evaluation of the Temporal Binding Hypothesis , 1999, Neuron.

[74]  William R. Softky,et al.  The highly irregular firing of cortical cells is inconsistent with temporal integration of random EPSPs , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[75]  Joe Z. Tsien A Postulate on the Brain's Basic Wiring Logic , 2015, Trends in Neurosciences.

[76]  G. Buzsáki,et al.  Hippocampal network patterns of activity in the mouse , 2003, Neuroscience.