A Cerebellar Learning Model of Vestibulo-Ocular Reflex Adaptation in Wild-Type and Mutant Mice

Mechanisms of cerebellar motor learning are still poorly understood. The standard Marr–Albus–Ito theory posits that learning involves plasticity at the parallel fiber to Purkinje cell synapses under control of the climbing fiber input, which provides an error signal as in classical supervised learning paradigms. However, a growing body of evidence challenges this theory, in that additional sites of plasticity appear to contribute to motor adaptation. Here, we consider phase-reversal training of the vestibulo-ocular reflex (VOR), a simple form of motor learning for which a large body of experimental data is available in wild-type and mutant mice, in which the excitability of granule cells or inhibition of Purkinje cells was affected in a cell-specific fashion. We present novel electrophysiological recordings of Purkinje cell activity measured in naive wild-type mice subjected to this VOR adaptation task. We then introduce a minimal model that consists of learning at the parallel fibers to Purkinje cells with the help of the climbing fibers. Although the minimal model reproduces the behavior of the wild-type animals and is analytically tractable, it fails at reproducing the behavior of mutant mice and the electrophysiology data. Therefore, we build a detailed model involving plasticity at the parallel fibers to Purkinje cells' synapse guided by climbing fibers, feedforward inhibition of Purkinje cells, and plasticity at the mossy fiber to vestibular nuclei neuron synapse. The detailed model reproduces both the behavioral and electrophysiological data of both the wild-type and mutant mice and allows for experimentally testable predictions.

[1]  C. I. Zeeuw,et al.  Increased Noise Level of Purkinje Cell Activities Minimizes Impact of Their Modulation during Sensorimotor Control , 2005, Neuron.

[2]  S. D. Lac,et al.  Bidirectional Plasticity Gated by Hyperpolarization Controls the Gain of Postsynaptic Firing Responses at Central Vestibular Nerve Synapses , 2010, Neuron.

[3]  S. Moghadam,et al.  Multiple Types of Cerebellar Target Neurons and Their Circuitry in the Vestibulo-ocular Reflex , 2011, The Journal of Neuroscience.

[4]  S. Itohara,et al.  Memory trace of motor learning shifts transsynaptically from cerebellar cortex to nuclei for consolidation , 2006, Neuroscience.

[5]  B. Barbour,et al.  Properties of Unitary Granule Cell→Purkinje Cell Synapses in Adult Rat Cerebellar Slices , 2002, The Journal of Neuroscience.

[6]  William Wisden,et al.  Raising cytosolic Cl− in cerebellar granule cells affects their excitability and vestibulo‐ocular learning , 2012, The EMBO journal.

[7]  Chris I. De Zeeuw,et al.  High Frequency Burst Firing of Granule Cells Ensures Transmission at the Parallel Fiber to Purkinje Cell Synapse at the Cost of Temporal Coding , 2013, Front. Neural Circuits.

[8]  I. Raman,et al.  Potentiation of Mossy Fiber EPSCs in the Cerebellar Nuclei by NMDA Receptor Activation followed by Postinhibitory Rebound Current , 2006, Neuron.

[9]  C. Hansel,et al.  Bidirectional Parallel Fiber Plasticity in the Cerebellum under Climbing Fiber Control , 2004, Neuron.

[10]  M. Mauk,et al.  Simulations of Cerebellar Motor Learning: Computational Analysis of Plasticity at the Mossy Fiber to Deep Nucleus Synapse , 1999, The Journal of Neuroscience.

[11]  John Porrill,et al.  Cerebellar Motor Learning: When Is Cortical Plasticity Not Enough? , 2007, PLoS Comput. Biol..

[12]  C. I. De Zeeuw,et al.  The dynamic characteristics of the mouse horizontal vestibulo-ocular and optokinetic response , 2001, Brain Research.

[13]  V Henn,et al.  Gaze stabilization in the primate. The interaction of the vestibulo-ocular reflex, optokinetic nystagmus, and smooth pursuit. , 1987, Reviews of physiology, biochemistry and pharmacology.

[14]  J. S Stahl,et al.  A comparison of video and magnetic search coil recordings of mouse eye movements , 2000, Journal of Neuroscience Methods.

[15]  William Wisden,et al.  Synaptic inhibition of Purkinje cells mediates consolidation of vestibulo-cerebellar motor learning , 2009, Nature Neuroscience.

[16]  P. Dean,et al.  Synaptic Plasticity in Medial Vestibular Nucleus Neurons: Comparison with Computational Requirements of VOR Adaptation , 2010, PloS one.

[17]  F. A. Miles,et al.  Plasticity in the vestibulo-ocular reflex: a new hypothesis. , 1981, Annual review of neuroscience.

[18]  M. Mauk,et al.  Cerebellar cortex lesions disrupt learning-dependent timing of conditioned eyelid responses , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[19]  R Angus Silver,et al.  The Contribution of Single Synapses to Sensory Representation in Vivo , 2008, Science.

[20]  C. Hansel,et al.  Purkinje Cell-Specific Knockout of the Protein Phosphatase PP2B Impairs Potentiation and Cerebellar Motor Learning , 2010, Neuron.

[21]  S. Lisberger,et al.  The Cerebellum: A Neuronal Learning Machine? , 1996, Science.

[22]  I. Mansuy,et al.  The gamma 2 subunit of GABA(A) receptors is required for maintenance of receptors at mature synapses. , 2003, Molecular and cellular neurosciences.

[23]  Nan Zheng,et al.  Synaptic Inhibition, Excitation, and Plasticity in Neurons of the Cerebellar Nuclei , 2010, The Cerebellum.

[24]  N. Gerrits,et al.  The primary vestibulocerebellar projection in the rabbit: Absence of primary afferents in the flocculus , 1989, Neuroscience Letters.

[25]  Germund Hesslow,et al.  Bidirectional plasticity of Purkinje cells matches temporal features of learning. , 2014, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[26]  M. Fujita,et al.  Simulation of adaptive modification of the vestibulo-ocular reflex with an adaptive filter model of the cerebellum , 1982, Biological Cybernetics.

[27]  Volker Henn,et al.  Gaze stabilization in the primate , 1987 .

[28]  E. Boyden,et al.  Cerebellum-dependent learning: the role of multiple plasticity mechanisms. , 2004, Annual review of neuroscience.

[29]  A Recipe for Bidirectional Motor Learning: Using Inhibition to Cook Plasticity in the Vestibular Nuclei , 2010, Neuron.

[30]  D. Jaeger Mini-Review: Synaptic Integration in the Cerebellar Nuclei—Perspectives From Dynamic Clamp and Computer Simulation Studies , 2011, The Cerebellum.

[31]  J. Raymond,et al.  Elimination of climbing fiber instructive signals during motor learning , 2009, Nature Neuroscience.

[32]  E. D’Angelo,et al.  Evidence for NMDA and mGlu receptor-dependent long-term potentiation of mossy fiber-granule cell transmission in rat cerebellum. , 1999, Journal of neurophysiology.

[33]  D. M. Broussard,et al.  Learning in a simple motor system. , 2004, Learning & memory.

[34]  J. Medina,et al.  The multiple roles of Purkinje cells in sensori-motor calibration: to predict, teach and command , 2011, Current Opinion in Neurobiology.

[35]  M. Mauk,et al.  A Mechanism for Savings in the Cerebellum , 2001, The Journal of Neuroscience.

[36]  J. Albus A Theory of Cerebellar Function , 1971 .

[37]  S. Lisberger,et al.  Neural Learning Rules for the Vestibulo-Ocular Reflex , 1998, The Journal of Neuroscience.

[38]  D. Marr A theory of cerebellar cortex , 1969, The Journal of physiology.

[39]  Yoshiko Kojima,et al.  Complex spike activity in the oculomotor vermis of the cerebellum: a vectorial error signal for saccade motor learning? , 2008, Journal of neurophysiology.

[40]  N. Barmack,et al.  Functions of Interneurons in Mouse Cerebellum , 2008, The Journal of Neuroscience.

[41]  J. Simpson,et al.  Phase relations of Purkinje cells in the rabbit flocculus during compensatory eye movements. , 1995, Journal of neurophysiology.

[42]  Egidio D'Angelo,et al.  Silencing the majority of cerebellar granule cells uncovers their essential role in motor learning and consolidation. , 2013, Cell reports.

[43]  Soichi Nagao,et al.  Effects of reversible pharmacological shutdown of cerebellar flocculus on the memory of long-term horizontal vestibulo-ocular reflex adaptation in monkeys , 2010, Neuroscience Research.

[44]  Chris I. De Zeeuw,et al.  Climbing Fiber Input Shapes Reciprocity of Purkinje Cell Firing , 2013, Neuron.

[45]  J. Nadal,et al.  Optimal Information Storage and the Distribution of Synaptic Weights Perceptron versus Purkinje Cell , 2004, Neuron.

[46]  R. Huganir,et al.  Reevaluating the Role of LTD in Cerebellar Motor Learning , 2011, Neuron.

[47]  D. M. Broussard,et al.  The Site of a Motor Memory Shifts with Consolidation , 2005, The Journal of Neuroscience.

[48]  Zhenyu Gao,et al.  Distributed synergistic plasticity and cerebellar learning , 2012, Nature Reviews Neuroscience.

[49]  A. Fuchs,et al.  Role of primate flocculus during rapid behavioral modification of vestibuloocular reflex. II. Mossy fiber firing patterns during horizontal head rotation and eye movement. , 1978, Journal of neurophysiology.

[50]  Bernhard Lüscher,et al.  The γ2 subunit of GABAA receptors is required for maintenance of receptors at mature synapses , 2003, Molecular and Cellular Neuroscience.

[51]  G. Paige,et al.  Linear Vestibuloocular Reflex during Motion along Axes between Nasooccipital and Interaural a , 1992, Annals of the New York Academy of Sciences.

[52]  C. Hansel,et al.  Intrinsic Plasticity Complements Long-Term Potentiation in Parallel Fiber Input Gain Control in Cerebellar Purkinje Cells , 2010, The Journal of Neuroscience.

[53]  Abigail L. Person,et al.  Deactivation of L-type Ca Current by Inhibition Controls LTP at Excitatory Synapses in the Cerebellar Nuclei , 2010, Neuron.

[54]  M A Frens,et al.  Simple spike and complex spike activity of floccular Purkinje cells during the optokinetic reflex in mice lacking cerebellar long‐term depression , 2004, The European journal of neuroscience.

[55]  Henrik Jörntell,et al.  Synaptic Memories Upside Down: Bidirectional Plasticity at Cerebellar Parallel Fiber-Purkinje Cell Synapses , 2006, Neuron.

[56]  M. Mauk,et al.  Mechanisms of cerebellar learning suggested by eyelid conditioning , 2000, Current Opinion in Neurobiology.

[57]  G Cheron,et al.  Discharge properties of brain stem neurons projecting to the flocculus in the alert cat. I. Medical vestibular nucleus. , 1996, Journal of neurophysiology.

[58]  James V. Stone,et al.  Decorrelation control by the cerebellum achieves oculomotor plant compensation in simulated vestibulo-ocular reflex , 2002, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[59]  C. D. De Zeeuw,et al.  Presynaptic plasticity at cerebellar parallel fiber terminals. , 2010, Functional neurology.

[60]  Y. Prigent [Long term depression]. , 1989, Annales medico-psychologiques.