Modeling gravity-dependent plasticity of the angular vestibuloocular reflex with a physiologically based neural network.

A neural network model was developed to explain the gravity-dependent properties of gain adaptation of the angular vestibuloocular reflex (aVOR). Gain changes are maximal at the head orientation where the gain is adapted and decrease as the head is tilted away from that position and can be described by the sum of gravity-independent and gravity-dependent components. The adaptation process was modeled by modifying the weights and bias values of a three-dimensional physiologically based neural network of canal-otolith-convergent neurons that drive the aVOR. Model parameters were trained using experimental vertical aVOR gain values. The learning rule aimed to reduce the error between eye velocities obtained from experimental gain values and model output in the position of adaptation. Although the model was trained only at specific head positions, the model predicted the experimental data at all head positions in three dimensions. Altering the relative learning rates of the weights and bias improved the model-data fits. Model predictions in three dimensions compared favorably with those of a double-sinusoid function, which is a fit that minimized the mean square error at every head position and served as the standard by which we compared the model predictions. The model supports the hypothesis that gravity-dependent adaptation of the aVOR is realized in three dimensions by a direct otolith input to canal-otolith neurons, whose canal sensitivities are adapted by the visual-vestibular mismatch. The adaptation is tuned by how the weights from otolith input to the canal-otolith-convergent neurons are adapted for a given head orientation.

[1]  B. Richmond,et al.  Implantation of magnetic search coils for measurement of eye position: An improved method , 1980, Vision Research.

[2]  B. Cohen,et al.  Gravity-specific adaptation of the angular vestibuloocular reflex: dependence on head orientation with regard to gravity. , 2003, Journal of neurophysiology.

[3]  S. Lisberger,et al.  Neural basis for motor learning in the vestibuloocular reflex of primates. II. Changes in the responses of horizontal gaze velocity Purkinje cells in the cerebellar flocculus and ventral paraflocculus. , 1994, Journal of neurophysiology.

[4]  T Raphan,et al.  Modeling 3-D slow phase velocity estimation during off-vertical-axis rotation (OVAR). , 1992, Journal of vestibular research : equilibrium & orientation.

[5]  Theodore Raphan,et al.  The vestibulo-ocular reflex in three dimensions , 2002, Experimental Brain Research.

[6]  Sergei B. Yakushin,et al.  Dependence of adaptation of the human vertical angular vestibulo-ocular reflex on gravity , 2003, Experimental Brain Research.

[7]  The physiology of the vestibulo-ocular reflex , 2002 .

[8]  S. I. Perlmutter,et al.  Spatial properties of second-order vestibulo-ocular relay neurons in the alert cat , 1990, Experimental Brain Research.

[9]  Masao Ito,et al.  Historical Review of the Significance of the Cerebellum and the Role of Purkinje Cells in Motor Learning , 2002, Annals of the New York Academy of Sciences.

[10]  E. Capaldi,et al.  The organization of behavior. , 1992, Journal of applied behavior analysis.

[11]  D. Zee,et al.  Effects of ablation of flocculus and paraflocculus of eye movements in primate. , 1981, Journal of neurophysiology.

[12]  S. Lisberger,et al.  Neural basis for motor learning in the vestibuloocular reflex of primates. I. Changes in the responses of brain stem neurons. , 1994, Journal of neurophysiology.

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

[14]  Christopher M. Bishop,et al.  Neural networks for pattern recognition , 1995 .

[15]  Thomas J. Anastasio,et al.  Simulating vestibular compensation using recurrent back-propagation , 1992, Biological Cybernetics.

[16]  B. Peterson,et al.  Spatial and temporal response properties of secondary neurons that receive convergent input in vestibular nuclei of alert cats , 1984, Brain Research.

[17]  F. Kárpáti,et al.  [Mast cell destruction, a new therapeutic possibility in the treatment of interstitial cystitis]. , 1971, Der Urologe.

[18]  D. Zee,et al.  Adaptation of the vestibulo-ocular reflex with the head in different orientations and positions relative to the axis of body rotation. , 1993, Journal of vestibular research : equilibrium & orientation.

[19]  J F Baker,et al.  Interdependence of spatial properties and projection patterns of medial vestibulospinal tract neurons in the cat. , 1998, Journal of neurophysiology.

[20]  D. A. Robinson,et al.  Distributed parallel processing in the vertical vestibulo-ocular reflex: Learning networks compared to tensor theory , 1990, Biological Cybernetics.

[21]  Richard A. Andersen,et al.  A back-propagation programmed network that simulates response properties of a subset of posterior parietal neurons , 1988, Nature.

[22]  W P Medendorp,et al.  Context compensation in the vestibuloocular reflex during active head rotations. , 2000, Journal of Neurophysiology.

[23]  Bernard Widrow,et al.  Adaptive switching circuits , 1988 .

[24]  Masao Ito The Cerebellum And Neural Control , 1984 .

[25]  B Cohen,et al.  Dynamics and kinematics of the angular vestibulo-ocular reflex in monkey: effects of canal plugging. , 1998, Journal of neurophysiology.

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

[27]  Dora E Angelaki,et al.  Vestibular convergence patterns in vestibular nuclei neurons of alert primates. , 2002, Journal of neurophysiology.

[28]  B Cohen,et al.  Semicircular canal contributions to the three-dimensional vestibuloocular reflex: a model-based approach. , 1995, Journal of neurophysiology.

[29]  D. Robinson,et al.  A METHOD OF MEASURING EYE MOVEMENT USING A SCLERAL SEARCH COIL IN A MAGNETIC FIELD. , 1963, IEEE transactions on bio-medical engineering.

[30]  I S Curthoys,et al.  Convergence of labyrinthine influences on units in the vestibular nuclei of the cat. I. Natural stimulation. , 1971, Brain research.

[31]  S. Glasauer,et al.  Canal-otolith interaction in the fastigial nucleus of the alert monkey , 2000, Experimental Brain Research.

[32]  James F. Baker,et al.  Directional sensitivity of anterior, posterior, and horizontal canal vestibulo-ocular neurons in the cat , 2001, Experimental Brain Research.

[33]  Theodore Raphan,et al.  Spatial distribution of gravity-dependent gain changes in the vestibuloocular reflex. , 2005, Journal of neurophysiology.

[34]  S G Lisberger,et al.  Responses during eye movements of brain stem neurons that receive monosynaptic inhibition from the flocculus and ventral paraflocculus in monkeys. , 1994, Journal of neurophysiology.

[35]  J. Goldberg,et al.  Physiology of peripheral neurons innervating otolith organs of the squirrel monkey. I. Response to static tilts and to long-duration centrifugal force. , 1976, Journal of neurophysiology.

[36]  B Cohen,et al.  Context-specific adaptation of the vertical vestibuloocular reflex with regard to gravity. , 2000, Journal of neurophysiology.

[37]  Theodore Raphan,et al.  Functions of the nucleus of the optic tract (NOT). , 2000, Experimental Brain Research.

[38]  J. W. Humberston Classical mechanics , 1980, Nature.

[39]  James F. Baker,et al.  Modeling learning in brain stem and cerebellar sites responsible for VOR plasticity , 1998, Brain Research Bulletin.

[40]  T Raphan,et al.  Modeling Slow Phase Velocity Generation during Off‐Vertical Axis Rotation a , 1988, Annals of the New York Academy of Sciences.

[41]  D. Sandwell BIHARMONIC SPLINE INTERPOLATION OF GEOS-3 AND SEASAT ALTIMETER DATA , 1987 .

[42]  Theodore Raphan,et al.  Spatial properties of central vestibular neurons. , 2006, Journal of neurophysiology.

[43]  K. Schaefer,et al.  Die Aktivität einzelner Neurone im Bereich der Vestibulariskerne bei Horizontalbeschleunigungen unter besonderer Berücksichtigung des vestibulären Nystagmus , 2004, Archiv für Psychiatrie und Nervenkrankheiten.

[44]  G. Rizzolatti,et al.  Neurons related to goal-directed motor acts in inferior area 6 of the macaque monkey , 2004, Experimental Brain Research.

[45]  B W Peterson,et al.  Sensorimotor transformation in the cat's vestibuloocular reflex system. I. Neuronal signals coding spatial coordination of compensatory eye movements. , 1993, Journal of neurophysiology.

[46]  Wu Zhou,et al.  Responses of rostral fastigial neurons to linear acceleration in an alert monkey , 2001, Experimental Brain Research.

[47]  B. Peterson,et al.  Dependence of cat vestibulo-ocular reflex direction adaptation on animal orientation during adaptation and rotation in darkness , 1987, Brain Research.

[48]  Geoffrey E. Hinton,et al.  Learning internal representations by error propagation , 1986 .

[49]  Russell Reed,et al.  Pruning algorithms-a survey , 1993, IEEE Trans. Neural Networks.

[50]  U Büttner,et al.  Rostral fastigial nucleus activity in the alert monkey during three-dimensional passive head movements. , 1997, Journal of neurophysiology.

[51]  D. A. Robinson,et al.  The distributed representation of vestibulo-oculomotor signals by brain-stem neurons , 1989, Biological Cybernetics.

[52]  Teuvo Kohonen,et al.  Self-Organizing Maps , 2010 .

[53]  B. Cohen,et al.  The Role of Gravity in Adaptation of the Vertical Angular Vestibulo‐Ocular Reflex , 2005, Annals of the New York Academy of Sciences.

[54]  Y. Hirata,et al.  Plasticity of the Vertical VOR , 2002, Annals of the New York Academy of Sciences.

[55]  M Shelhamer,et al.  Effect of Head Orientation and Position on Vestibuloocular Reflex Adaptation a , 1992, Annals of the New York Academy of Sciences.

[56]  Dora E Angelaki,et al.  Properties of cerebellar fastigial neurons during translation, rotation, and eye movements. , 2005, Journal of neurophysiology.

[57]  I Kozlovskaya,et al.  Vestibuloocular reflex of rhesus monkeys after spaceflight. , 1992, Journal of applied physiology.

[58]  John Porrill,et al.  Report on a workshop concerning the cerebellum and motor learning, held in St Louis October 2004 , 2008, The Cerebellum.

[59]  B. Cohen,et al.  Spatial properties of central vestibular neurons of monkeys after bilateral lateral canal nerve section. , 2005, Journal of neurophysiology.

[60]  B. Cohen,et al.  Adaptive Changes in the Angular VOR: Duration of Gain Changes and Lack of Effect of Nodulo‐Uvulectomy , 2003, Annals of the New York Academy of Sciences.

[61]  S. Kaplan The Physiology of Thought , 1950 .

[62]  J. Goldberg,et al.  Physiology of peripheral neurons innervating otolith organs of the squirrel monkey. III. Response dynamics. , 1976, Journal of neurophysiology.

[63]  James A. Anderson,et al.  An Introduction To Neural Networks , 1998 .

[64]  F A Miles,et al.  Long-term adaptive changes in primate vestibuloocular reflex. I. Behavioral observations. , 1980, Journal of neurophysiology.

[65]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[66]  S. I. Perlmutter,et al.  Simultaneous opposing adaptive changes in cat vestibulo-ocular reflex direction for two body orientations , 1987, Experimental Brain Research.

[67]  B Cohen,et al.  Control of Spatial Orientation of the Angular Vestibulo‐Ocular Reflex by the Nodulus and Uvula of the Vestibulocerebellum , 1999, Annals of the New York Academy of Sciences.

[68]  Y. Hirata,et al.  Acute adaptation of the vestibuloocular reflex: signal processing by floccular and ventral parafloccular Purkinje cells. , 2001, Journal of neurophysiology.

[69]  Shufeng Tan,et al.  Reducing data dimensionality through optimizing neural network inputs , 1995 .