Higher-Dimensional Neurons Explain the Tuning and Dynamics of Working Memory Cells

Measurements of neural activity in working memory during a somatosensory discrimination task show that the content of working memory is not only stimulus dependent but also strongly time varying. We present a biologically plausible neural model that reproduces the wide variety of characteristic responses observed in those experiments. Central to our model is a heterogeneous ensemble of two-dimensional neurons that are hypothesized to simultaneously encode two distinct stimuli dimensions. We demonstrate that the spiking activity of each neuron in the population can be understood as the result of a two-dimensional state space trajectory projected onto the tuning curve of the neuron. The wide variety of observed responses is thus a natural consequence of a population of neurons with a diverse set of preferred stimulus vectors and response functions in this two-dimensional space. In addition, we propose a taxonomy of network topologies that will generate the two-dimensional trajectory necessary to exploit this population. We conclude by proposing some experimental indicators to help distinguish among these possibilities.

[1]  J. Fuster Unit activity in prefrontal cortex during delayed-response performance: neuronal correlates of transient memory. , 1973, Journal of neurophysiology.

[2]  P. Goldman-Rakic,et al.  Mnemonic coding of visual space in the monkey's dorsolateral prefrontal cortex. , 1989, Journal of neurophysiology.

[3]  D. Zipser,et al.  A spiking network model of short-term active memory , 1993, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[4]  D L Robinson,et al.  Modified saccades evoked by stimulation of the macaque superior colliculus account for properties of the resettable integrator. , 1995, Journal of neurophysiology.

[5]  C. Koch,et al.  Recurrent excitation in neocortical circuits , 1995, Science.

[6]  K. Zhang,et al.  Representation of spatial orientation by the intrinsic dynamics of the head-direction cell ensemble: a theory , 1996, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[7]  H S Seung,et al.  How the brain keeps the eyes still. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[8]  R. Romo,et al.  Somatosensory discrimination based on cortical microstimulation , 1998, Nature.

[9]  R. Romo,et al.  Neuronal correlates of parametric working memory in the prefrontal cortex , 1999, Nature.

[10]  X. Wang,et al.  Synaptic Basis of Cortical Persistent Activity: the Importance of NMDA Receptors to Working Memory , 1999, The Journal of Neuroscience.

[11]  Vivien A. Casagrande,et al.  Biophysics of Computation: Information Processing in Single Neurons , 1999 .

[12]  Daniel D. Lee,et al.  Stability of the Memory of Eye Position in a Recurrent Network of Conductance-Based Model Neurons , 2000, Neuron.

[13]  H. Seung,et al.  Anatomy and discharge properties of pre-motor neurons in the goldfish medulla that have eye-position signals during fixations. , 2000, Journal of neurophysiology.

[14]  E G Keating,et al.  Electrical stimulation of the frontal eye field in a monkey produces combined eye and head movements. , 2000, Journal of neurophysiology.

[15]  H. Seung,et al.  In vivo intracellular recording and perturbation of persistent activity in a neural integrator , 2001, Nature Neuroscience.

[16]  A. Koulakov,et al.  Model for a robust neural integrator , 2002, Nature Neuroscience.

[17]  David J. Freedman,et al.  Representation of the Quantity of Visual Items in the Primate Prefrontal Cortex , 2002, Science.

[18]  E. Seidemann,et al.  Dynamics of Depolarization and Hyperpolarization in the Frontal Cortex and Saccade Goal , 2002, Science.

[19]  H. Seung,et al.  Robust persistent neural activity in a model integrator with multiple hysteretic dendrites per neuron. , 2003, Cerebral cortex.

[20]  Ranulfo Romo,et al.  Basic mechanisms for graded persistent activity: discrete attractors, continuous attractors, and dynamic representations , 2003, Current Opinion in Neurobiology.

[21]  J. Bassett,et al.  Persistent neural activity in head direction cells. , 2003, Cerebral cortex.

[22]  W. Schultz,et al.  Discrete Coding of Reward Probability and Uncertainty by Dopamine Neurons , 2003, Science.

[23]  R. Romo,et al.  A recurrent network model of somatosensory parametric working memory in the prefrontal cortex. , 2003, Cerebral cortex.

[24]  Emilio Salinas,et al.  Vector reconstruction from firing rates , 1994, Journal of Computational Neuroscience.

[25]  W. Senn,et al.  Climbing Neuronal Activity as an Event-Based Cortical Representation of Time , 2004, The Journal of Neuroscience.

[26]  R. Andersen,et al.  Memory related motor planning activity in posterior parietal cortex of macaque , 1988, Experimental Brain Research.

[27]  W. Newsome,et al.  What electrical microstimulation has revealed about the neural basis of cognition , 2004, Current Opinion in Neurobiology.

[28]  Chris Eliasmith,et al.  Neural Engineering: Computation, Representation, and Dynamics in Neurobiological Systems , 2004, IEEE Transactions on Neural Networks.

[29]  Xiao-Jing Wang,et al.  A Model of Visuospatial Working Memory in Prefrontal Cortex: Recurrent Network and Cellular Bistability , 1998, Journal of Computational Neuroscience.

[30]  Chris Eliasmith,et al.  A Controlled Attractor Network Model of Path Integration in the Rat , 2005, Journal of Computational Neuroscience.

[31]  Chris Eliasmith,et al.  A Unified Approach to Building and Controlling Spiking Attractor Networks , 2005, Neural Computation.