Neural mechanisms for control in complex cognition

Neural network models of complex cognitive tasks are difficult to build. Most previous work has focused on the difficulty of using structured symbolic representations in neural networks. This thesis focuses on the problem of control. During problem solving, some form of control is necessary for sequencing operations, for selecting actions, and for manipulating goal representations. I present a set of control mechanisms inspired and constrained by brain organization that are powerful enough to guarantee basic problem solving ability; in fact, I show that they are computationally universal. These mechanisms exploit a simple method for controlling the temporal characteristics of activation in continuous-time neural networks that makes neural control of complex processes possible in properly organized neural cognitive models. The basic computational primitive is inspired by corticostriatal loops in which the cortical component is composed of columns organized in layers. An input layer and an output layer each form winner-take-all networks. These layers are connected via a corticostriatal loop that produces a controllable amount of internal propagation delay in signal transmission from input layer to output layer. Modules can be composed hierarchically to produce goal-directed control circuits for cognitive models that are formally equivalent to finite automata and share many properties of symbolic production systems. These control circuits are instantiated in a neural cognitive model of the Tower of London problem-solving task. The model implements the assumption that dorsolateral prefrontal cortex is preferentially involved in representing subgoal information during problem solving, and that frontostriatal loop circuits provide a timing function that is critical for proper problem solving performance. Normal subject performance is accurately simulated by the model, and performance under conditions of simulated prefrontal lesions and Parkinson's disease captures speed and accuracy impairments exhibited in patient data from the literature.

[1]  R. O’Reilly,et al.  Computational Explorations in Cognitive Neuroscience: Understanding the Mind by Simulating the Brain , 2000 .

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

[3]  S. J. Martin,et al.  Synaptic plasticity and memory: an evaluation of the hypothesis. , 2000, Annual review of neuroscience.

[4]  P. Peretto,et al.  Collective Properties of Neural Networks , 1986 .

[5]  E. Kandel,et al.  A cellular mechanism of classical conditioning in Aplysia: activity-dependent amplification of presynaptic facilitation. , 1983, Science.

[6]  Stephen A. Ritz,et al.  Distinctive features, categorical perception, and probability learning: some applications of a neural model , 1977 .

[7]  Ivan E Sutherland,et al.  Computers without clocks. , 2002, Scientific American.

[8]  B. Pillon,et al.  Human autonomy and the frontal lobes. Part I: Imitation and utilization behavior: A neuropsychological study of 75 patients , 1986, Annals of neurology.

[9]  G. Micheletti The Prefrontal Cortex. Anatomy, Physiology and Neuropsychology of the Frontal Lobe, Fuster J.M.. Raven Press, New York (1989) , 1989 .

[10]  A. Newell Unified Theories of Cognition , 1990 .

[11]  Jordan B. Pollack,et al.  Recursive Distributed Representations , 1990, Artif. Intell..

[12]  Tony A. Plate,et al.  Holographic reduced representations , 1995, IEEE Trans. Neural Networks.

[13]  Richard S. Sutton,et al.  Learning to predict by the methods of temporal differences , 1988, Machine Learning.

[14]  H. C. LONGUET-HIGGINS,et al.  Non-Holographic Associative Memory , 1969, Nature.

[15]  M. Just,et al.  The psychology of reading and language comprehension , 1986 .

[16]  G. E. Alexander,et al.  Neuron Activity Related to Short-Term Memory , 1971, Science.

[17]  J. Mink THE BASAL GANGLIA: FOCUSED SELECTION AND INHIBITION OF COMPETING MOTOR PROGRAMS , 1996, Progress in Neurobiology.

[18]  P. T. Fox,et al.  Positron emission tomographic studies of the cortical anatomy of single-word processing , 1988, Nature.

[19]  C. Malsburg Self-organization of orientation sensitive cells in the striate cortex , 2004, Kybernetik.

[20]  S. Grossberg,et al.  Adaptive pattern classification and universal recoding: I. Parallel development and coding of neural feature detectors , 1976, Biological Cybernetics.

[21]  Colin Wilson The contribution of cortical neurons to the firing pattern of striatal spiny neurons , 1995 .

[22]  Peter Ford Dominey,et al.  A cortico-subcortical model for generation of spatially accurate sequential saccades. , 1992, Cerebral cortex.

[23]  Olle Ingemar Elgerd,et al.  Control systems theory , 1967 .

[24]  Hans Forssberg,et al.  Anatomical and physiological evidence for D1 and D2 dopamine receptor colocalization in neostriatal neurons , 2000, Nature Neuroscience.

[25]  Richard Granger,et al.  A cortical model of winner-take-all competition via lateral inhibition , 1992, Neural Networks.

[26]  Bard Ermentrout,et al.  Complex dynamics in winner-take-all neural nets with slow inhibition , 1992, Neural Networks.

[27]  M. Bear,et al.  A synaptic basis for memory storage in the cerebral cortex. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[28]  David E. Kieras,et al.  An Overview of the EPIC Architecture for Cognition and Performance With Application to Human-Computer Interaction , 1997, Hum. Comput. Interact..

[29]  Jonathan D. Cohen,et al.  A Biologically Based Computational Model of Working Memory , 1999 .

[30]  Mark C. Detweiler,et al.  A Connectionist/Control Architecture for Working Memory , 1988 .

[31]  Allen Newell,et al.  SOAR: An Architecture for General Intelligence , 1987, Artif. Intell..

[32]  Eduardo Sontag,et al.  Computational power of neural networks , 1995 .

[33]  J. Deniau,et al.  Disinhibition as a basic process in the expression of striatal functions , 1990, Trends in Neurosciences.

[34]  J. Driver,et al.  Control of Cognitive Processes: Attention and Performance XVIII , 2000 .

[35]  Thomas P. Trappenberg,et al.  Self-organizing continuous attractor networks and motor function , 2003, Neural Networks.

[36]  Michael C. Mozer,et al.  The perception of multiple objects , 1991 .

[37]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: part 1.: an account of basic findings , 1988 .

[38]  A. Graybiel,et al.  Role of [corrected] nigrostriatal dopamine system in learning to perform sequential motor tasks in a predictive manner. , 1999, Journal of neurophysiology.

[39]  A. Turing On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[40]  Stephen Grossberg,et al.  Neural dynamics of adaptive timing and temporal discrimination during associative learning , 1989, Neural Networks.

[41]  I. Divac Cortical circuits: Synaptic organization of the cerebral cortex. Structure, function and theory by Edward L. White, Birkäuser, 1989. Sw. fr. 88.00 (xvi + 223 pages) ISBN 3 7643 3402 9 , 1990, Trends in Neurosciences.

[42]  S. Grossberg Contour Enhancement , Short Term Memory , and Constancies in Reverberating Neural Networks , 1973 .

[43]  R. O’Reilly,et al.  A computational approach to prefrontal cortex, cognitive control and schizophrenia: recent developments and current challenges. , 1996, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[44]  A. Hodgkin,et al.  Resting and action potentials in single nerve fibres , 1945, The Journal of physiology.

[45]  Leslie G. Ungerleider Two cortical visual systems , 1982 .

[46]  George H. Mealy,et al.  A method for synthesizing sequential circuits , 1955 .

[47]  Hava T. Siegelmann,et al.  Analog computation via neural networks , 1993, [1993] The 2nd Israel Symposium on Theory and Computing Systems.

[48]  Stephen Grossberg,et al.  Adaptive pattern classification and universal recoding: II. Feedback, expectation, olfaction, illusions , 1976, Biological Cybernetics.

[49]  S Dehaene,et al.  Neural networks that learn temporal sequences by selection. , 1987, Proceedings of the National Academy of Sciences of the United States of America.

[50]  Daniel Durstewitz,et al.  Self-Organizing Neural Integrator Predicts Interval Times through Climbing Activity , 2003, The Journal of Neuroscience.

[51]  J. Wickens,et al.  A cellular mechanism of reward-related learning , 2001, Nature.

[52]  Barak A. Pearlmutter Learning State Space Trajectories in Recurrent Neural Networks , 1989, Neural Computation.

[53]  C. Marsden,et al.  Fronto-striatal cognitive deficits at different stages of Parkinson's disease. , 1992, Brain : a journal of neurology.

[54]  H. Markram,et al.  Redistribution of synaptic efficacy between neocortical pyramidal neurons , 1996, Nature.

[55]  James A. Anderson,et al.  Cognitive and psychological computation with neural models , 1983, IEEE Transactions on Systems, Man, and Cybernetics.

[56]  D. Ts'o,et al.  Functional organization of primate visual cortex revealed by high resolution optical imaging. , 1990, Science.

[57]  S. Fairhurst,et al.  Scalar timing in animals and humans , 2002 .

[58]  John R. Anderson,et al.  Tower of Hanoi: evidence for the cost of goal retrieval. , 2001, Journal of experimental psychology. Learning, memory, and cognition.

[59]  M. Botvinick,et al.  Conflict monitoring and cognitive control. , 2001, Psychological review.

[60]  Edward E. Smith,et al.  Temporal dynamics of brain activation during a working memory task , 1997, Nature.

[61]  Geoffrey E. Hinton BoltzCONS: Dynamic Symbol Structures in a Connectionist Network , 1991 .

[62]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[63]  L. Shastri,et al.  From simple associations to systematic reasoning: A connectionist representation of rules, variables and dynamic bindings using temporal synchrony , 1993, Behavioral and Brain Sciences.

[64]  P. Werbos,et al.  Beyond Regression : "New Tools for Prediction and Analysis in the Behavioral Sciences , 1974 .

[65]  Ronald J. Williams,et al.  A Learning Algorithm for Continually Running Fully Recurrent Neural Networks , 1989, Neural Computation.

[66]  S C Kleene,et al.  Representation of Events in Nerve Nets and Finite Automata , 1951 .

[67]  S. Schultz Principles of Neural Science, 4th ed. , 2001 .

[68]  S. Thorpe,et al.  Responses of striatal neurons in the behaving monkey. 1. Head of the caudate nucleus , 1983, Behavioural Brain Research.

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

[70]  P. Goldman-Rakic,et al.  Presynaptic regulation of recurrent excitation by D1 receptors in prefrontal circuits. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[71]  R. Dolan,et al.  Neural systems engaged by planning: a PET study of the Tower of London task , 1996, Neuropsychologia.

[72]  M. Konishi,et al.  Axonal delay lines for time measurement in the owl's brainstem. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[73]  W A Little,et al.  A statistical theory of short and long term memory. , 1975, Behavioral biology.

[74]  Jeffrey L. Elman,et al.  Finding Structure in Time , 1990, Cogn. Sci..

[75]  J. Jonides,et al.  Storage and executive processes in the frontal lobes. , 1999, Science.

[76]  T. Shallice Specific impairments of planning. , 1982, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[77]  T. Braver,et al.  Anterior Cingulate and the Monitoring of Response Conflict: Evidence from an fMRI Study of Overt Verb Generation , 2000, Journal of Cognitive Neuroscience.

[78]  J. Penney,et al.  The functional anatomy of basal ganglia disorders , 1989, Trends in Neurosciences.

[79]  James L. McClelland,et al.  An interactive activation model of context effects in letter perception: I. An account of basic findings. , 1981 .

[80]  John E. Hummel,et al.  Distributed representations of structure: A theory of analogical access and mapping. , 1997 .

[81]  Geoffrey E. Hinton,et al.  A Distributed Connectionist Production System , 1988, Cogn. Sci..

[82]  F ROSENBLATT,et al.  The perceptron: a probabilistic model for information storage and organization in the brain. , 1958, Psychological review.

[83]  Christos H. Papadimitriou,et al.  Elements of the Theory of Computation , 1997, SIGA.

[84]  W. Schultz,et al.  Neuronal activity in monkey striatum related to the expectation of predictable environmental events. , 1992, Journal of neurophysiology.

[85]  Hagai Bergman,et al.  Stepping out of the box: information processing in the neural networks of the basal ganglia , 2001, Current Opinion in Neurobiology.

[86]  Boris S. Gutkin,et al.  The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators , 2001, Neural Computation.

[87]  J. Hollerman,et al.  Dopamine neurons report an error in the temporal prediction of reward during learning , 1998, Nature Neuroscience.

[88]  J J Hopfield,et al.  Neurons with graded response have collective computational properties like those of two-state neurons. , 1984, Proceedings of the National Academy of Sciences of the United States of America.

[89]  M. D’Esposito,et al.  The neural basis of the central executive system of working memory , 1995, Nature.

[90]  D E Kieras,et al.  A computational theory of executive cognitive processes and multiple-task performance: Part 1. Basic mechanisms. , 1997, Psychological review.

[91]  Geoffrey E. Hinton,et al.  A Learning Algorithm for Boltzmann Machines , 1985, Cogn. Sci..

[92]  Fabio Somenzi,et al.  Logic synthesis and verification algorithms , 1996 .

[93]  P. Goldman-Rakic,et al.  Prefrontal neuronal activity in rhesus monkeys performing a delayed anti-saccade task , 1993, Nature.

[94]  T. Shallice,et al.  CONTENTION SCHEDULING AND THE CONTROL OF ROUTINE ACTIVITIES , 2000, Cognitive neuropsychology.

[95]  P. Goldman-Rakic Architecture of the Prefrontal Cortex and the Central Executive , 1995, Annals of the New York Academy of Sciences.

[96]  W. Schultz,et al.  Context-dependent activity in primate striatum reflecting past and future behavioral events. , 1995 .

[97]  John H. Holland,et al.  Escaping brittleness: the possibilities of general-purpose learning algorithms applied to parallel rule-based systems , 1995 .

[98]  M. Raichle,et al.  The anterior cingulate cortex mediates processing selection in the Stroop attentional conflict paradigm. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[99]  Stephen Grossberg,et al.  Art 2: Self-Organization Of Stable Category Recognition Codes For Analog Input Patterns , 1988, Other Conferences.

[100]  S Dehaene,et al.  A hierarchical neuronal network for planning behavior. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[101]  D. Jordan,et al.  Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers , 1979 .

[102]  James L. McClelland,et al.  On the control of automatic processes: a parallel distributed processing account of the Stroop effect. , 1990, Psychological review.

[103]  Elsevier Biomedical Press RESPONSES OF STRIATAL NEURONS IN THE BEHAVING MONKEY. 1. HEAD OF THE CAUDATE NUCLEUS , 1983 .

[104]  Michael J. Frank,et al.  Interactions between frontal cortex and basal ganglia in working memory: A computational model , 2001, Cognitive, affective & behavioral neuroscience.

[105]  John R. Koza,et al.  Hidden Order: How Adaptation Builds Complexity. , 1995, Artificial Life.

[106]  G. E. Alexander,et al.  Parallel organization of functionally segregated circuits linking basal ganglia and cortex. , 1986, Annual review of neuroscience.

[107]  J. Cowan,et al.  A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue , 1973, Kybernetik.

[108]  Samuel Kaski,et al.  Winner-take-all networks for physiological models of competitive learning , 1994, Neural Networks.

[109]  Geoffrey E. Hinton,et al.  Learning representations by back-propagating errors , 1986, Nature.

[110]  Jerome A. Feldman,et al.  Connectionist Models and Their Properties , 1982, Cogn. Sci..

[111]  S P Wise,et al.  Distributed modular architectures linking basal ganglia, cerebellum, and cerebral cortex: their role in planning and controlling action. , 1995, Cerebral cortex.

[112]  D. J. Felleman,et al.  Distributed hierarchical processing in the primate cerebral cortex. , 1991, Cerebral cortex.

[113]  S. Grossberg How does the cerebral cortex work? Development, learning, attention, and 3-D vision by laminar circuits of visual cortex. , 2003, Behavioral and cognitive neuroscience reviews.

[114]  Anders Krogh,et al.  Introduction to the theory of neural computation , 1994, The advanced book program.

[115]  Christof Koch,et al.  The role of single neurons in information processing , 2000, Nature Neuroscience.

[117]  J. Cohen,et al.  Context, cortex, and dopamine: a connectionist approach to behavior and biology in schizophrenia. , 1992, Psychological review.

[118]  Kurt Hornik,et al.  Multilayer feedforward networks are universal approximators , 1989, Neural Networks.

[119]  Modification in the activity of primate prefrontal neurons during learning of a GO/NO-GO discrimination and its reversal , 1988 .

[120]  C. Lebiere,et al.  The Atomic Components of Thought , 1998 .

[121]  G. Lewicki,et al.  Approximation by Superpositions of a Sigmoidal Function , 2003 .

[122]  S. Grossberg,et al.  ART 2: self-organization of stable category recognition codes for analog input patterns. , 1987, Applied optics.

[123]  Haim Sompolinsky,et al.  Associative network models for central pattern generators , 1989 .

[124]  W. Schultz,et al.  Neuronal activity in monkey ventral striatum related to the expectation of reward , 1992, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[125]  Pekka Orponen,et al.  Continuous-Time Symmetric Hopfield Nets Are Computationally Universal , 2003, Neural Computation.

[126]  E. Miller,et al.  An integrative theory of prefrontal cortex function. , 2001, Annual review of neuroscience.

[127]  S. Grillner,et al.  The effect of dorsal root transection on the efferent motor pattern in the cat's hindlimb during locomotion. , 1984, Acta physiologica Scandinavica.

[128]  M. Berridge Neuronal Calcium Signaling , 1998, Neuron.

[129]  Nancy Kopell,et al.  Networks of neurons as dynamical systems: from geometry to biophysics , 1998 .

[130]  Matthew Carl Jones Temporal information and adaptive rationality. , 2003 .

[131]  Geoffrey E. Hinton Tensor Product Variable Binding and the Representation of Symbolic Structures in Connectionist Systems , 1991 .

[132]  Eric Shea-Brown,et al.  On the Phase Reduction and Response Dynamics of Neural Oscillator Populations , 2004, Neural Computation.

[133]  J. Deniau,et al.  Segregation and Convergence of Information Flow through the Cortico-Subthalamic Pathways , 2001, The Journal of Neuroscience.

[134]  Jordan B. Pollack,et al.  RAAM for infinite context-free languages , 2000, Proceedings of the IEEE-INNS-ENNS International Joint Conference on Neural Networks. IJCNN 2000. Neural Computing: New Challenges and Perspectives for the New Millennium.

[135]  V. Mountcastle,et al.  An organizing principle for cerebral function : the unit module and the distributed system , 1978 .

[136]  Steven Pinker,et al.  Rules and connections in human language , 1988, Trends in Neurosciences.

[137]  Saul Sternberg,et al.  The discovery of processing stages: Extensions of Donders' method , 1969 .

[138]  D. Amit,et al.  Statistical mechanics of neural networks near saturation , 1987 .

[139]  Wulfram Gerstner,et al.  Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking , 2000, Neural Computation.

[140]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[141]  T. Robbins,et al.  Planning and spatial working memory following frontal lobe lesions in man , 1990, Neuropsychologia.

[142]  Örjan Ekeberg,et al.  Cortex-basal ganglia interaction and attractor states , 2001, Neurocomputing.

[143]  Geoffrey E. Hinton,et al.  Learning and relearning in Boltzmann machines , 1986 .

[144]  Trevor W. Robbins Functioning of frontostriatal anatomical "loops" in mechanisms of cognitive control , 2000 .

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

[146]  E. Bienenstock,et al.  Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex , 1982, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[147]  D Kleinfeld,et al.  Sequential state generation by model neural networks. , 1986, Proceedings of the National Academy of Sciences of the United States of America.

[148]  F. Lhermitte,et al.  Human autonomy and the frontal lobes. Part II: Patient behavior in complex and social situations: The “environmental dependency syndrome” , 1986, Annals of neurology.

[149]  J. Stroop Studies of interference in serial verbal reactions. , 1992 .

[150]  Kanter,et al.  Temporal association in asymmetric neural networks. , 1986, Physical review letters.

[151]  Michael Sipser,et al.  Introduction to the Theory of Computation , 1996, SIGA.

[152]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[153]  W. Schultz,et al.  Role of primate basal ganglia and frontal cortex in the internal generation of movements , 2004, Experimental Brain Research.

[154]  Joachim M. Buhmann,et al.  Storing sequences of biased patterns in neural networks with stochastic dynamics , 1988 .

[155]  Douglas Lind,et al.  An Introduction to Symbolic Dynamics and Coding , 1995 .

[156]  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.

[157]  Christopher J. Bishop,et al.  Pulsed Neural Networks , 1998 .

[158]  W. Meck,et al.  Dissecting the Brain's Internal Clock: How Frontal–Striatal Circuitry Keeps Time and Shifts Attention , 2002, Brain and Cognition.

[159]  D. Harrington,et al.  Temporal processing in the basal ganglia. , 1998, Neuropsychology.

[160]  D. Hubel,et al.  Receptive fields and functional architecture of monkey striate cortex , 1968, The Journal of physiology.

[161]  G. Ward,et al.  Planning and Problem solving Using the Five disc Tower of London Task , 1997 .

[162]  John P. Hayes,et al.  Introduction to Digital Logic Design , 1993 .

[163]  M. Just,et al.  From the SelectedWorks of Marcel Adam Just 1992 A capacity theory of comprehension : Individual differences in working memory , 2017 .

[164]  J J Hopfield,et al.  What is a moment? Transient synchrony as a collective mechanism for spatiotemporal integration. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[165]  Adrian M. Owen,et al.  Dopamine-Dependent Frontostriatal Planning Deficits in Early Parkinson ' s Disease , 2004 .

[166]  J. T. Murphy,et al.  The role of the basal ganglia in controlling a movement initiated by a visually presented cue , 1980, Brain Research.

[167]  J. Gabrieli Contribution of the basal ganglia to skill learning and working memory in humans , 1995 .

[168]  Jonathan D. Cohen,et al.  Interference and Facilitation Effects during Selective Attention: An H2 15O PET Study of Stroop Task Performance , 1995, NeuroImage.

[169]  Allen Newell,et al.  Human Problem Solving. , 1973 .

[170]  J. W. Aldridge,et al.  Coding of Serial Order by Neostriatal Neurons: A “Natural Action” Approach to Movement Sequence , 1998, The Journal of Neuroscience.

[171]  Walter Schneider,et al.  An Instructable Connectionist/Control Architecture: Using Rule-Based Instructions to Accomplish Connectionist Learning in a Human Time Scale , 1989 .

[172]  S.-I. Amari,et al.  Neural theory of association and concept-formation , 1977, Biological Cybernetics.

[173]  Jonathan D. Cohen,et al.  Cognition and control in schizophrenia: a computational model of dopamine and prefrontal function , 1999, Biological Psychiatry.

[174]  DeLiang Wang,et al.  Synchronization in Relaxation Oscillator Networks with Conduction Delays , 2001, Neural Computation.

[175]  T. Sejnowski,et al.  A Computational Model of How the Basal Ganglia Produce Sequences , 1998, Journal of Cognitive Neuroscience.

[176]  S. Keele,et al.  Timing Functions of The Cerebellum , 1989, Journal of Cognitive Neuroscience.

[177]  J. Grafman,et al.  Are the frontal lobes implicated in “planning” functions? Interpreting data from the Tower of Hanoi , 1995, Neuropsychologia.

[178]  Walter Schneider Models of Working Memory: Working Memory in a Multilevel Hybrid Connectionist Control Architecture (CAP2) , 1999 .

[179]  K. Berridge,et al.  Implementation of Action Sequences by a Neostriatal Site: A Lesion Mapping Study of Grooming Syntax , 1996, The Journal of Neuroscience.

[180]  Richard L. Lewis,et al.  A computational approach to control in complex cognition. , 2002, Brain research. Cognitive brain research.

[181]  John J. Hopfield,et al.  Neural networks and physical systems with emergent collective computational abilities , 1999 .