%PDF-1.1 %âãÏÓ 1 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 28 -742 Td (Page 13 of 13) Tj /Serif 10 Tf -514 723 Td (Symbols emerge intermittently in the form of a distributed amplitude patterns, and they dissolve immediately as they appear under the) Tj 0 -12 Td (destabilizing effect of the collective dynamics of array elements.\r) Tj 0 -12 Td (\r) Tj /SerifB 10 Tf 0 -25 Td (Contributions to Other Disciplines: ) Tj /Serif 10 Tf 0 -14 Td (Contributions to Other Disciplines\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (PHYSICS/COMPLEX SYSTEM/SOCIAL NETWORKS:\r) Tj 0 -12 Td (Since the late 90's, network theory showed significant advances, based on heuristic principles including scale-free dynamics, small-world) Tj 0 -12 Td (dynamics. Those approaches gained popularity in the wide scientific community, however they has several inherent shortcomings due to the) Tj 0 -12 Td (lack of systematic mathematical basics. Our neuropercolation model provides a solid mathematical approach to understand the behavior of) Tj 0 -12 Td (these models and to go beyond their shortcomings. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (MENTAL HEALTH/COGNITIVE DEVELOPMENT:\r) Tj 0 -12 Td (We suggested a novel experimental method to monitor cognitive activity base don scalp and intracranial recordings. The proposed mechanism) Tj 0 -12 Td (of hemispheric neurodynamics may open new avenues to study human cognition and dynamic brain diseases. The present results also suggest) Tj 0 -12 Td (that phase structures in the human scalp EEG relating to cognition may be readily accessible with standard clinical EEG equipment. This) Tj 0 -12 Td (approach for brain-computer interfaces has the potential of practical applications in various areas, e.g., supporting persons with disabilities.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (HARDWARE/ROBOTICS:\r) Tj 0 -12 Td (Our results contribute to the development of novel computer hardware devices. This includes micro-chip implementation of chaotic memory) Tj 0 -12 Td (devices for improved capacity and robustness, with applications in robotics and autonomous systems design.\r) Tj 0 -12 Td (\r) Tj /SerifB 10 Tf 0 -27 Td (Contributions to Human Resource Development: ) Tj /Serif 10 Tf 0 -14 Td (The research students working on the project will acquire advanced skills that will be essential in their future career.) Tj /SerifB 10 Tf 0 -18 Td (Contributions to Resources for Research and Education: ) Tj /Serif 10 Tf 0 -14 Td (We have established a 16-node parallel computing cluster which is very useful tool that is used in various research and educational projects.) Tj /SerifB 10 Tf 0 -18 Td (Contributions Beyond Science and Engineering: ) Tj /Serif 10 Tf 0 -14 Td (Neuropercolation is a new approach to mathematical modeling and computation and it will change all aspects of the economy, organizations,) Tj 0 -12 Td (and the society. Robotics applications help to space explorations and extend the reach of humanity beyond Earth, towards planetary missions.) Tj /SerifB 10 Tf 185 -29 Td (Categories for which nothing is reported: ) Tj /Serif 10 Tf -185 -14 Td (Any Product) Tj ET 203.0 330.0 177.0 1.0 re f endstream endobj 2 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 28 -742 Td (Page 12 of 13) Tj /Serif 10 Tf -514 723 Td (Ilin, R., Kozma, R., "Stability of Coupled excitatory and inhibitory neural populations and application to control of multistable systems", Phys.) Tj 0 -12 Td (Lett. A, p. 66, vol. 360, \(2006\). Published) Tj /SerifB 10 Tf 205 -44 Td (Books or Other One-time Publications) Tj /Serif 10 Tf -205 -29 Td (Kozma, R., Balister, P., Bollobas, B., Freeman, W., "Dynamical percolation models of phase transitions in the cortex", \(2001\). Proceedings,) Tj 0 -12 Td (Published) Tj 0 -12 Td (Editor\(s\): Nakajima, K., Oishi, S-I.) Tj 0 -12 Td (Collection: Proceedings of NOLTA'01\r) Tj 0 -12 Td (Nonlinear Theory and Applications Symposium) Tj 0 -12 Td (Bibliography: Vol. 1, pp. 55-59.) Tj /SerifB 10 Tf 250 -46 Td (Web/Internet Site) Tj -250 -30 Td (URL\(s\):) Tj /Serif 10 Tf 0 -14 Td (http://cnd.memphis.edu\r) Tj 0 -12 Td (http://cnd.memphis.edu/neuropercolation/\r) Tj 0 -12 Td (http://sulcus.berkeley.edu\r) Tj 0 -12 Td (http://www.scholarpedia.org/article/Neuropercolation) Tj /SerifB 10 Tf 0 -15 Td (Description:) Tj /Serif 10 Tf 0 -14 Td ( ) Tj /SerifB 10 Tf 240 -28 Td (Other Specific Products) Tj 10 -30 Td (Contributions) Tj -250 -15 Td (Contributions within Discipline: ) Tj /Serif 10 Tf 0 -14 Td (Contributions within discipline\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (We develop a biologically-inspired dynamical memory model. This is a multi-disciplinary area involving neurobiology, computer science and) Tj 0 -12 Td (information technology, and mathematics. Therefore, the disciplinary contributions are listed according to these 3 main areas: \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (NEUROBIOLOGY:\r) Tj 0 -12 Td (Outlines a novel experimental methodology of brain monitoring based on dense-array scalp or intracranial EEG measurements. This leads to) Tj 0 -12 Td (the identification of frequent \(6-10 Hz\) sudden jumps \(phase transitions\) in brain operation. The jumps are the manifestation of higher cognitive) Tj 0 -12 Td (activity of animals and humans. Accordingly, brains operate discontinuously, based on a cinematographic principle. In this theory, each image) Tj 0 -12 Td (is manifested as quasi-stable spatial amplitude distribution of activity, maintained for about 100-150 ms. These frames correspond to periods of) Tj 0 -12 Td (higher cognitive functions, and they are separated by brief de-synchronization of large-scale activity \(5-10 ms\) which acts as the shutter. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (MATHEMATICS/GRAPH THEORY:\r) Tj 0 -12 Td (We have extended the framework of standard bootstrap percolation to probabilistic models. Our model generalizes previously used models, like) Tj 0 -12 Td (cellular neural networks, cellular automata, and bootstrap percolation. The model we develop provides an alternative way of representing and) Tj 0 -12 Td (solving mathematical problems using a large number of functionally simple processing units. The key mathematical result shows that random) Tj 0 -12 Td (cellular automata undergo spontaneous phase transitions. We gave fairly good bounds both for the waiting time in the quasi-stable states and) Tj 0 -12 Td (the time needed to transition to the next state. The theory produces results which are far ahead of our present computational capabilities, and) Tj 0 -12 Td (remains so at least for 10-20 years into the future.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (COMPUTER SCIENCE/INFORMATION THEORY:\r) Tj 0 -12 Td (The developed neuropercolation model is a general computational device based on the biologically-motivated principle of computing using) Tj 0 -12 Td (chaotic spatio-temporal encoding. Neuropercolation-based computing is drastically more powerful that present day digital computers.) Tj 0 -12 Td (Neuropercolation is based on the principle of phase transitions of spatio-temporal patterns, instead of numbers. The proposed approach) Tj 0 -12 Td (provides a solution to the notorious symbol grounding problem, by embedding a high-level symbolic representation into a dynamic system.) Tj ET 223.0 687.0 163.0 1.0 re f 268.0 552.0 76.0 1.0 re f 258.0 415.0 103.0 1.0 re f 268.0 385.0 59.0 1.0 re f endstream endobj 3 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 28 -742 Td (Page 11 of 13) Tj /Serif 10 Tf -514 723 Td (Freeman WJ, Ga?l G, Jornten, R., "A neurobiological theory of meaning in perception. Part 3. Multiple cortical areas synchronize without loss) Tj 0 -12 Td (of local autonomy.", Int J Bifurc Chaos, p. 2845, vol. 13, \(2003\). Published) Tj 0 -24 Td (Freeman WJ, Burke BC., "A neurobiological theory of meaning in perception. Part 4. Multicortical patterns of amplitude modulation in) Tj 0 -12 Td (gamma EEG", Int J Bifurc Chaos, p. 2857, vol. 13, \(2003\). Published) Tj 0 -28 Td (Freeman WJ, Rogers L.J., "A neurobiological theory of meaning in perception. Part 5. Multicortical patterns of phase modulation in gamma) Tj 0 -12 Td (EEG.", Int J Bifurc Chaos, p. 2867, vol. 13, \(2003\). Published) Tj 0 -28 Td (Freeman, WJ, "Origin, structure, and role of background EEG activity. Part 1. Analytic amplitude", Clinical Neurophysiology., p. 2077, vol.) Tj 0 -12 Td (115, \(2004\). Submitted) Tj 0 -28 Td (Kozma, R., "On the Constructive Role of Noise in Stabilizing Itinerant Trajectories", Chaos, p. 1078, vol. 13, \(2003\). Published) Tj 0 -27 Td (Kozma, R., and Freeman, W.J., "Basic Principles of the KIV Model and its application to the Navigation Problem", Journal of Integrative) Tj 0 -12 Td (Neuroscience, p. 125, vol. 2, \(2003\). Published) Tj 0 -28 Td (Robert Kozma, Walter J. Freeman, Derek Wong and Peter Erdi, "Learning Environmental Clues in the KIV Model of the) Tj 0 -12 Td (Cortico-Hippocampal Formation", Neurocomputing, p. 721, vol. 58-60, \(2004\). Published) Tj 0 -28 Td (Kozma, R., Harter, D., Achunala, S., "Dynamical Aspects of Behavior Generation Under Constraints", Cognitive Neurodynamics, p. , vol. ,) Tj 0 -12 Td (\(2006\). Accepted) Tj 0 -28 Td (Balister, P., Bollobas, Kozma, R., "Mean field models of probabilistic cellular automata", Random Structures and Algorithms, p. 399, vol. 29,) Tj 0 -12 Td (\(2006\). Published) Tj 0 -28 Td (Balister, P., Bollobas, B., Walters, M., "Continuum percolation with steps in an annulus", Annals of Applied Probability, p. 1869, vol. 14,) Tj 0 -12 Td (\(2004\). Published) Tj 0 -28 Td (Balister, P., Bollobas, B., Johnson, R., Walters, M., "Random majority percolation", Annals of Probability, p. , vol. , \(2005\). Submitted) Tj 0 -27 Td (Balister, P., Bollobas, B., Walters, M., "Continuum percolation in the square and the disc", Random Structures and Algorithms, p. 392, vol. 26,) Tj 0 -12 Td (\(2005\). Published) Tj 0 -28 Td (Walter J Freeman, "How and Why Brains Create Meaning from Sensory Information", Int J Bifurcation and Chaos, p. 513, vol. 14, \(2004\).) Tj 0 -12 Td (Published) Tj 0 -28 Td (Kozma, R., Puljic, M., Bollobas, B., Balister, P., Freeman, W.J., "Phase Transitions in the Neuropercolation Model of Neural Populations with) Tj 0 -12 Td (Mixed Local and Non-Local Interactions", Biological Cybernetics, p. 367, vol. 92, \(2005\). Published) Tj 0 -28 Td (Harter, D, Kozma, R., "Chaotic Neurodynamics for Autonomous Agents", IEEE Transactions on Neural Networks, p. 565, vol. 16, \(2005\).) Tj 0 -12 Td (Published) Tj 0 -28 Td (Kozma, R., Fukuda, T., "Intentional Dynamic Systems : Theory, Modeling, and Applications", International J. Intelligent Systems, p. 875, vol.) Tj 0 -12 Td (21, \(2006\). Published) Tj 0 -28 Td (Puljic, M, Kozma, R., "Activation Clustering in Neural and Social Networks", Complexity, p. 42, vol. 10, \(2005\). Published) Tj 0 -27 Td (Beliaev, I., Kozma, R., "Time series prediction using chaotic neural networks: Case study of CATS Benchmark test", Neurocomputing, p. , vol.) Tj 0 -12 Td (, \(2006\). Accepted) Tj 0 -28 Td (Kozma, R., Wong, D., Demirer, M., Freeman, W.J., "Learning intentional behavior in the K-model of the amygdala and enthorhinal cortex with) Tj 0 -12 Td (the cortico-hippocampal formation", Neurocomputing, p. 23, vol. 65-66, \(2005\). Published) Tj ET endstream endobj 4 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 28 -742 Td (Page 10 of 13) Tj /Serif 10 Tf -514 723 Td (\r) Tj 0 -12 Td (Neuropercolation: Dynamical memory neural Networks û Biological Systems and Computer Implementations, Tutorial at IJCNN'03, July 14,) Tj 0 -12 Td (2003, Portland, OR.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Temporal Aspects of Information Encoding in NNs, Special Track with 3 sessions, co-organizer with Deliang Wang and Ali Minai, at) Tj 0 -12 Td (IJCNN'03, July 14-19, 2003, Portland, OR.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Nonlinear Spatio-temporal Neurodynamics, Workshop Organizer with Peter Andras and Peter Erdi at Computational Neuroscience Conference) Tj 0 -12 Td (CNS*2003, July 4-8, 2003, Alicante, Spain.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Dynamical Cognitive Principles, Models, and Implementations,' Invited Talk at NSF Conference on 'Advanced Computation Inspired By) Tj 0 -12 Td (Biological Processes,' April 6-8, 2003, Arlington, VA.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Neuropercolation Model of Spatio-Temporal Neurodynamics, at the Workshop Organizer on 'Complex Nonlinear Neural Dynamics,') Tj 0 -12 Td (Computational Neuroscience CNS*2002 Conference, Organizer with P. Andras, and A. Assadi, July 25, 2002, Chicago, IL.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Self-organized development of behaviors in spatio-temporal dynamical systems, Invited talk at Special Session at IEEE World Congress on) Tj 0 -12 Td (Computational Intelligence WCCI2002, May 12-17, 2002, Honolulu, Hawaii.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Your Method is Connectionist Too', Panelist at World Congress on Computational Intelligence WCCI'02/IJCNN'02, May 11-15, 2002,) Tj 0 -12 Td (Honolulu, HI.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Neuropercolations: Dynamical percolation Models of Phase Transitions in Physical and Biological Systems, Invited Talk at BISC Seminar,) Tj 0 -12 Td (Berkeley Initiative in Soft Computing, UC Berkeley, February 21, 2002.\r) Tj /SerifB 10 Tf 250 -36 Td (Journal Publications) Tj /Serif 10 Tf -250 -29 Td (W J Freeman, "A neurobiological theory of meaning in perception. Part 1. Information and meaning in nonconvergent and nonlocal brain) Tj 0 -12 Td (dynamics.", International Journal of Bifurcation and Chaos, p. 2493, vol. 13, \(2003\). Published) Tj 0 -28 Td (Freeman WJ, Holmes MD, Burke BC, Vanhatalo S., "Spatial spectra of scalp EEG and EMG from awake humans.\r) Tj 0 -12 Td (", Clinical Neurophysiology, p. 1055, vol. 16, \(2003\). Published) Tj 0 -28 Td (Freeman WJ, Burke BC, Holmes MD., "Aperiodic phase re-setting in scalp EEG of beta-gamma oscillations by state transitions at alpha-theta) Tj 0 -12 Td (rates.", Human Brain Mapping, p. 248, vol. 19, \(2003\). Published) Tj 0 -28 Td (Freeman WJ, "The wave packet: An action potential for the 21st Century. \r) Tj 0 -12 Td (", Journal of Integrative Neuroscience\r) Tj 0 -12 Td (, p. 3, vol. 2, \(2003\). Published) Tj 0 -28 Td (Roy, P.K., Kozma, R., Majumder, D.D., "From Neurocomputation to Immunocomputation - A model and algorithm for fluctuation-induced) Tj 0 -12 Td (instability and phase transition in biological systems", IEEE Transactions in Evolutionary Computing, p. 292, vol. 6, \(2002\). Published) Tj 0 -28 Td (Kozma, R., Freeman, W.J., "Classification of EEG Patterns Using Nonlinear Neurodynamics and Chaos", Neurocomputing, p. 1107, vol.) Tj 0 -12 Td (44-46, \(2002\). Published) Tj 0 -28 Td (Kozma, R., Freeman, W.J., Erdi, P., "The KIV Model - Nonlinear Spatio-temporal Dynamics of the Primordial Vertebrate Forebrain",) Tj 0 -12 Td (Neurocomputing, p. 819, vol. 52-54, \(2003\). Published) Tj 0 -28 Td (Freeman, W.J., "Evidence from human scalp EEG of global chaotic itinerancy.", Chaos, p. 1067, vol. 13, \(2003\). Published) Tj 0 -27 Td (Freeman, W.J.,, "A neurobiological theory of meaning in perception. Part 2. Spatial patterns of phase in gamma EEG from primary sensory) Tj 0 -12 Td (cortices reveal the properties of mesoscopic wave packets.", International J. Bifurcation and Chaos, p. 2513, vol. 13, \(2003\). Published) Tj ET 268.0 431.0 87.0 1.0 re f endstream endobj 5 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 9 of 13) Tj /Serif 10 Tf -520 723 Td (31 May, 2003 - ÌÇÐÄVlog´«Ã½ - Plenary, Tutorial on Spatiotemporal Analysis of EEG with Rodrigo Quiroga \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (6 June, 2003 û Hong Kong, Chinese University - 'The Neurodynamics of Perception as Revealed by Human Scalp EEG'. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (9-13, 2003 June - Shanghai PRC - INTERNATIONAL SYMPOSIUM ON NONLINEAR SCIENCE AND APPLICATIONS 'Phase transitions) Tj 0 -12 Td (in cortex mediate integration of sensory stimuli into perceptual experience.'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (12 -13, June, 2003 - Seattle WA - Harborview Hospital Univ. Wash. 'Scalp EEG may reveal spatial patterns in frames flickering at the speed of) Tj 0 -12 Td (thought' \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (18-22 June, 2003 - New York, OHBM 'Can scalp EEGs reveal spatial patterns in frames flickering at the speed of thought?'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (21-27 June, 2003 - Wildbad Kreuth, Germany - Workshop 'Construction of meaning from sensory information by repeated state transitions in) Tj 0 -12 Td (perception'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (30 June, 2003 - Freiburg i/B IGPP- 'Can scalp EEGs reveal spatial patterns in frames flickering at the speed of thought?'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (8 July, 2003 - Alicante - Spain - Workshop 'Nonlinear spatio-temporal neural dynamics - Experiments and Theoretical Models' and part of) Tj 0 -12 Td (2003 Computational Neuroscience Conference CNS*03 [Workshop co-organized by Kozma and Erdi] \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (20-24 July, 2003 Portland OR - IJCNN'2003, Portland û 'A neurobiological theory of meaning in perception', Tutorial on Neurodynamics [by) Tj 0 -12 Td (Freeman and Kozma]\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (8-10 Aug, 2003 û Boston MA - Society for Chaos Theory in Psychology & Life Sciences - 13th Annual International Conf. 'Scalp EEGs reveal) Tj 0 -12 Td (large spatial patterns with the texture of gyri in frames flickering at the speed of thought'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (12 Sept, 2003 ûUniv. D³sseldorf û High spatial and temporal resolution of scalp EEG'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (15 Sept, 2003 û Amsterdam. AMC - 'Fine spatiotemporal resolution of analytic phase reveals episodic synchronization by state transitions in) Tj 0 -12 Td (beta-gamma EEGs recurring at alpha-theta rates'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (16 Sept, 2003 û Frankfurt û MPI û Scalp EEG at high resolution gives evidence for re-synchronization of beta-gamma activity at alpha-theta) Tj 0 -12 Td (rates\r) Tj 0 -12 Td ( \r) Tj 0 -12 Td (17 Sept, 2003 û T³bingen, MPI û A neurobiological theory of meaning. \r) Tj 0 -12 Td ( \r) Tj 0 -12 Td (25 Sept, 2003 û Bethesda MD, NINDS - Spontaneous EEG from intracranial arrays in animals and humans and scalp arrays on humans\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (26-30 Sept, 2003 - Cary NC - JCIS2003 û Plenary û High resolution scalp EEG in Humans, Symposium: Brain-like architectures for computers\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (12-19 0ct, 2003 û Miami Beach, American Academy of Child & Adolescent Psychiatry, Symposium on 'The biology of interaction: Genes,) Tj 0 -12 Td (Environment and the brain' û 'A biological theory of brain function for psychiatry and psychotherapy'. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (9-13 Nov, 2003 û Shanghai, SARS û 'A Biological Theory of Meaning in Perception'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (14 Nov, 2003 û Hangzhou, Zhejiang Univ - 'Applications of nonconvergent - 'chaotic' û dynamics for self-organized control of autonomous) Tj 0 -12 Td (devices'.\r) Tj 0 -12 Td ( \r) Tj 0 -12 Td (20 Nov, 2003 û Hong Kong, City Univ û 'Mechanisms of stability in self-organizing dynamics of the brain'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Nonconvergent Neural Memories for Robust Encoding of Noisy Sensory Data, Invited Plenary talk at ANNIE'2003 Conference, November) Tj 0 -12 Td (2-5, 2003, St. Louis, MO.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Biologically Inspired Computing û Past, Present, & Future, Invited Talk at The Inst. Of Complex Systems, Kalamazoo College, MI, October) Tj 0 -12 Td (13, 2003.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Biologically Inspired Computational Models,' Panel Discussion at IJCNN'03, July 20-24, 2003, Portland, OR\r) Tj ET endstream endobj 6 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 8 of 13) Tj /Serif 10 Tf -520 723 Td (Studies on Sparse Array Cortical Modeling and Memory Cognition Duality, Proc. IEEE World Congress on Computational Intelligence, July) Tj 0 -12 Td (16-21, 2006, Vancouver, Canada, IEEE Press, 2006.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Noise-Mediated Intermittent Synchronization of Collective Behaviors in the Probabilistic Cellular Automata Model of Neural Populations, 10th) Tj 0 -12 Td (Artificial Life Conference ALIFEX, June 3-7, 2006, Bloomington, IN, MIT Press.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Neurodynamics Methods for Analysis and Control of Cognitive Behaviors, Workshop organized at 10th Artificial Life Conference ALIFEX,) Tj 0 -12 Td (June 3-7, 2006, Bloomington, IN.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Self-Organized Development of Autonomous Adaptive Systems,' Distinguished Lecturer at Navy Center of Applied Research in Artificial) Tj 0 -12 Td (Intelligence, Invited Talk at NCARAI, Navy Research Laboratory NRL, May 9, 2005, Arlington, VA.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Neurodynamics and Intentional Dynamical Systems,' Special Session Organizer at IEEE Int. Conf. on Neural Networks, IJCNN'05, July) Tj 0 -12 Td (30-August 4, 2005, Montreal, Canada.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Spatio-Temporal Neurodynamics,' Workshop Co-Chair at IEEE Int. Conf. on Neural Networks, IJCNN'05, July 30-August 4, 2005, Montreal,) Tj 0 -12 Td (Canada.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Role of Noise in Dynamical Models of Biologically-Inspired Computing,' Invited Talk at Complex Systems Seminar, Dept. Mathematics,) Tj 0 -12 Td (Hokkaido University, January 11, 2005, Sapporo, Japan.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Neuropercolation Models of Brain Dynamics,' Invited Talk at Computational Neuroscience Seminar, Northwestern University, November 4,) Tj 0 -12 Td (2004, Chicago, IL.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Dynamical Systems Approach to Decision Making in a Network of Distributed Autonomous Agents,' Panelist at a Workshop on Networked) Tj 0 -12 Td (Robotics: Issues, Architectures, Applications, IEEE/JRS Int. Conf. on Robotics and Applications IROS'04, September 26, 2004, Sendai, Japan.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Intentional Dynamic Systems Approach to Intelligent Robots,' Invited Talk at Div. Robotics and Mechatronics, Nagoya University, September) Tj 0 -12 Td (27, 2004, Nagoya, Japan.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td ('Nonlinear Spatio-Temporal Neural Dynamics,' Workshop Chair at Int. conf. Computational Neuroscience CNS*2004, Baltimore, MD, July) Tj 0 -12 Td (21, 2004.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (4 Feb, 2003 - Gainesville, ECE Dept. 'Phase transitions spread by anomalous dispersion in cerebral cortex'. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (5-7 Feb, 2003 - Gainesville FL - University of Florida McKnight Brain Institute. Conference on Quantitative Neuroscience. 'Phase transitions) Tj 0 -12 Td (in cortex initiate perception from sensation'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (27-28 Feb, 2003 - ÌÇÐÄVlog´«Ã½ TN - Symposium: 'Dynamics of Perception and Cognition' 'Phase transitions in cortex initiate perception from) Tj 0 -12 Td (sensation', Co-sponsored by NSF grant and NASA Intelligent Systems Program [organizer: Kozma]\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (17-18 Apr, 2003 - Lyon - Dept of Physiology - Remi Gervais 'The olfactory bulb as a model for the dynamics of perception '\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (24-26 Apr, 2003 - Rome, Catholic University - Congress of the Association of European Psychiatrists: Biological fundaments of memory,) Tj 0 -12 Td (Assessment of memory, Psychopathology of memory, Memory and Neuropsychiatric disorders, Therapeutic strategies. 'The neurodynamics of) Tj 0 -12 Td (the construction of memories gives opportunities for mistakes and failures' 'Implications from nonlinear neurodynamics for nosology and) Tj 0 -12 Td (treatment of psychiatric disorders' \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (28 Apr, 2003 - Italian Swiss University, Mondrisio - Nicoletta Sala: 'Chaos, mind and Complexity' \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (29 Apr, 2003 - Milano - Giovanni Degli Antoni \(University of Milan - Crema\) 'New developments in analog computing based in nonlinear) Tj 0 -12 Td (brain dynamics'\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (15-17 May, 2003 - San Francisco - Soc. Biol. Psychiatr. Mapping scalp EEG with high temporal and spatial resolution. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (30 May-2 June, 2003 - ÌÇÐÄVlog´«Ã½ TN, 7th ASSC - 'High resolution EEG brings us another step closer to the NCC'\r) Tj 0 -12 Td (\r) Tj ET endstream endobj 7 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 7 of 13) Tj /Serif 10 Tf -520 723 Td (7. We have studied the spatio-temporal structure of phase transitions in our local and nonlocal neuropercolation models and compared it to) Tj 0 -12 Td (observations in brains. Important common feature of the computational and biological systems is the way the system oscillates for a prolonged) Tj 0 -12 Td (time before phase transitions. Once the transition starts, however, the state of the system chages very rapidly. In brains this takes less than about) Tj 0 -12 Td (5-10 ms. We can observe this fast transition in neuropercolation; i.e., the change percolates through the system apparently defying reversibility.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (8. We have evaluated spatial and temporal spectra of scalp EEG and EMG from awake humans. Scaling of PSDt from scalp resembled that) Tj 0 -12 Td (from pia: near-linear decrease in log power with increasing log frequency \(1/f^a\). Scalp PSDx decreased nonlinearly and more rapidly than) Tj 0 -12 Td (PSDx from pia. Peaks in PSDt \(especially 4-12 Hz\) and PSDx \(especially 0.1-0.4 cycles/cm\) revealed departures from 1/f^a. A criterion for) Tj 0 -12 Td (measuring EMG may support biofeedback for training subjects to reduce their EMG. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (9. Analytic amplitude \(AA\) and phase \(AP\) were calculated in scalp EEG of beta-gamma oscillations. State transitions at alpha-theta rates have) Tj 0 -12 Td (been observed at each time step for the 64 channels in the analog pass band of 0.5-120 Hz. AP differences approximated the AP derivative) Tj 0 -12 Td (\(instantaneous frequency\). The sizes of temporal AP differences were usually within 0.5 radian from the average step corresponding to the) Tj 0 -12 Td (center frequency of the pass band. Large AP differences were often synchronized over distances of 6 to 19 cm. Synchronized AP jumps) Tj 0 -12 Td (recurred in clusters at alpha and theta rates in resting subjects and with EMG. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (10. Subdural EEG measurement gave estimates of two fundamental state variables at each point in time: the rate of change in phase with time) Tj 0 -12 Td (\(the frequency\), and the rate of change in phase with distance \(the gradient\). These 2 quantities enabled description of intermittent) Tj 0 -12 Td (spatiotemporal patterns of phase. The diameters, durations, and phase velocities of these patterns varied with window duration and with) Tj 0 -12 Td (interelectrode interval. Beta-gamma phase patterns in the ms-mm to m-s ranges are evidence that neocortex maintains a scale-free state of) Tj 0 -12 Td (self-organized criticality in each hemisphere as the basis for its rapid and repetitive integration of sensory input with experience. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (11. The Hilbert transform was used to calculate the analytic amplitude, A, of 64 EEG signals after spatial and temporal filtering in the) Tj 0 -12 Td (beta-gamma range. Minimal changes in the spatially-distributed amplitudes coincided with minima in phase dispersion found with the Hilbert) Tj 0 -12 Td (transform and gave a measure of synchrony among multiple EEG signals. This was far simpler to compute than phase distributions and showed) Tj 0 -12 Td (that maximal amplitude coincided with maximal synchrony. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (12. Spatiotemporal infrastructure of phase in human intracranial EEG has been analyzed. Frequency and phase were measured by the Hilbert) Tj 0 -12 Td (method enabled calculation of phase cones. Phase cones reflect chaotic state transitions leading to new cortical patterns assimilating sensory) Tj 0 -12 Td (input. The overlapping cones show that neocortex maintains a stable, scale-free state of self-organized criticality by homeostatic regulation of) Tj 0 -12 Td (neural firing, through which it adapts instantly and globally to rapid environmental changes. The proposed mechanism for stabilization of) Tj 0 -12 Td (hemispheric neurodynamics may open new avenues to study human cognition and dynamic brain diseases. The present results also suggest that) Tj 0 -12 Td (phase structures in the human scalp EEG relating to cognition may be readily accessible with standard clinical EEG equipment.\r) Tj 0 -12 Td (\r) Tj /SerifB 10 Tf 0 -41 Td (Training and Development:) Tj /Serif 10 Tf 0 -14 Td (Faculty members benefit from the results of this research in their teaching and development as they regularly use the up-to-date research results) Tj 0 -12 Td (in enriching their courses. The courses taught include neural networks, computational intelligence, advanced algorithms, and various seminars.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Graduate students, who work as research assistants for the project, have first-hand experience with cutting edge research topics and research) Tj 0 -12 Td (methodology. Other students also benefit from this research via their studies in the courses taught by project team members,. Moreover, the) Tj 0 -12 Td (developed software tools in Matlab environment are made available for public use and students' practice in the computer lab. During the) Tj 0 -12 Td (weekly seminar of the Computational Neurodynamics \(CND\) Lab about 8-10 graduate students participate and benefit from the discussions. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Our graduate students and postdoc attended the Winter Schools on Chaotic Communications in San Diego in 2002 and 2003 \(H Chen and M) Tj 0 -12 Td (Puljic, respectively\), and the Understanding Complex Systems Conference at UIUC Urbana in 2004 and 2005 \(M. Puljic, M. Demirer\), as well) Tj 0 -12 Td (as International Neural network Conferences \(N. Majumder, R. Ilin, I. Beliaev, M. Puljic\) in the project period 2002-2005.) Tj /SerifB 10 Tf 0 -33 Td (Outreach Activities:) Tj /Serif 10 Tf 0 -14 Td (Neuropercolation Model of Cortical Phase Transitions û Dynamics of Cognition and Intelligence, Keynote Talk at Chaos & Complex Systems) Tj 0 -12 Td (Symposium May 12-13, 2006, Istanbul, Turkey \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Influence of Criticality on 1/f^a Spectral Characteristics of Cortical Neuron Populations, Proc. IEEE World Congress on Computational) Tj 0 -12 Td (Intelligence, July 16-21, 2006, Vancouver, Canada, IEEE Press, 2006.\r) Tj 0 -12 Td (\r) Tj ET endstream endobj 8 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 6 of 13) Tj /Serif 10 Tf -520 723 Td (\r) Tj 0 -12 Td (1. Academic coursework\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (There are several courses at the University of ÌÇÐÄVlog´«Ã½, which benefit directly from this research in various ways. These graduate courses) Tj 0 -12 Td (include Neural Networks, Computational Intelligence, Advanced Algorithms, Cognitive Science Seminar, Combinatorics Seminar. The) Tj 0 -12 Td (lecturers, who work on our project, introduce from time-to-time the relevant results of our research to the students. In addition, some students) Tj 0 -12 Td (choose class project topics that are related to this research. In this way students get a direct exposure to the newest developments in this exciting) Tj 0 -12 Td (field. The undergraduate course of 'Soft Computing,' which benefits from the results of this project in the area of network theory and its) Tj 0 -12 Td (applications.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (2. Students' research involvement\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Thorough the project duration, about a dozen of students, mostly graduates, have been involved in the research. As the result, one PhD) Tj 0 -12 Td (dissertation \(M Puljic\) and a MSc Thesis \(M Myers\) has been produced, together with several additional final projects for CS graduate students.) Tj 0 -12 Td ( Students have been continuously involved in the research through the weekly seminar of the Computational Neurodynamics \(CND\) Lab. At) Tj 0 -12 Td (the CND research seminar students affiliated with this NSF project, as well as with other related projects \(NASA, DAPRA\) come together and) Tj 0 -12 Td (present their results to this broader audience. The students also had the opportunity to attend workshops, winter schools, conferences, to present) Tj 0 -12 Td (their results.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (\r) Tj /SerifB 10 Tf 0 -34 Td (Findings:) Tj /Serif 10 Tf 0 -14 Td (MAJOR FINDINGS \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (1. We have analyzed the behavior of the neuropercolation model in the case of local neighborhoods and majority voting updating rule. We have) Tj 0 -12 Td (shown that the model shows a behavior that resembles the Ising model of statistical physics. We have estimated the critical exponents,) Tj 0 -12 Td (including magnetization, susceptibility, and correlation length. The estimated parameters satisfy a hyperscaling relationship and indicate that) Tj 0 -12 Td (our model does not belong to the thoroughly studied Toom cellular automata, neither to the strong or weak Ising universality classes, rather it is) Tj 0 -12 Td (of a weak-Ising class. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (2. We have incorporated nonlocal connections into our neuropercolation model. Nonlocal connections are important components of neural) Tj 0 -12 Td (systems, which correspond to long axons that allow communication between various cortical regions. We have shown that the non-local) Tj 0 -12 Td (connectivity acts as a control parameter, together with the probabilistic component of local interactions \(noise\). We have constructed the phase) Tj 0 -12 Td (diagrams in the space of non-local connectivity and local noise. Near the critical point, a small change in the non-local connectivity \(gain\) will) Tj 0 -12 Td (lead to drastic alteration of the dynamical behavior of the system.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (3. We have studied mean field models of probabilistic cellular automata. Very little has been proven rigorously about these models in the) Tj 0 -12 Td (literature. We have shown the existence of phase transition is a wide class of mean field models. We have also shown the onset of interesting) Tj 0 -12 Td (phenomena, like symmetry breaking in various mean field models. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (4. Developed theory of random majority percolations with weak noise term. In this model, each site follow the majority rule with high) Tj 0 -12 Td (probability. The lattice resides most of the time in one stable state or the other. From time-to-time, it can flip between these states. Until now it) Tj 0 -12 Td (was unclear how long it takes to transit from one state to the other. We gave a rigorous proof of the fact that the model spends a long time in) Tj 0 -12 Td (either low- or high-density configurations before crossing very rapidly to the other state. We have been able to prove fairly good bounds on the) Tj 0 -12 Td (very long time the model spends in the two essentially stable states.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (5. We shown that the transition between the quasi-stable states takes a very short time and gave an estimation of this time. This result gives a) Tj 0 -12 Td (theoretical justification of the terminology 'neuropercolation' introduced at the start of the project. The obtained rigorously proven) Tj 0 -12 Td (mathematical results support the biologically motivated conjecture about the very rapid phase transitions in local and non-local models.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (6. Cortical state changes indicated in animals and humans the presence self-organized for cortical regions maintaining metastable states close to) Tj 0 -12 Td (instability. This theory to cortex is suggested by the 1/f form of the temporal and spatial spectra from the EEG, indicating power law scaling. ) Tj 0 -12 Td (Changes in state occur repeatedly at all scales of time and space from those of single neurons through those of the mesoscopic states of wave) Tj 0 -12 Td (packets to that of the entire forebrain. We showed that the neuropercolation model exhibits 1/f-type behavior and can be used to interpret) Tj 0 -12 Td (neuroscience observations of self-organization of brain dynamics.\r) Tj 0 -12 Td (\r) Tj ET endstream endobj 9 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 5 of 13) Tj /Serif 10 Tf -520 723 Td (Extensive evaluation of EEG data by measuring frequency and phase using the Hilbert method at each digitizing step and by the Fourier) Tj 0 -12 Td (method in a moving window stepped along the filtered signals at the digitizing interval \(5 ms\). These measures enabled calculation of the) Tj 0 -12 Td (location, size, time of onset, phase velocity, duration, and recurrence interval of radially symmetric spatial patterns named as phase cones. The) Tj 0 -12 Td (apex of each cone showed the location and onset time of abrupt re-initialization of phase at a frequency in the beta-gamma range. Half power) Tj 0 -12 Td (cone diameters were 5-50 mm or more. Durations had fractal distributions with means ranging from 6-300+ ms depending on window length.) Tj 0 -12 Td (Recurrence rates of longer-lasting phase cones were in the theta-alpha range. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (2. Modeling and simulation of phase transitions in random media \(Area Coordinator R Kozma, PI\):\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 1:\r) Tj 0 -12 Td (Computational models of random effects on the dynamical behavior of 2-dimensional lattices are developed. These are called neuropercolation) Tj 0 -12 Td (models, and they are the generalizations of other dynamical models, like Conway's game of life, bootstrap percolation, and Hopfield memory) Tj 0 -12 Td (arrays. Our simulations are directed toward analyzing threshold phenomena in neuropercolation models, which have very close similarity with) Tj 0 -12 Td (phase transitions in physical systems, like Ising models. The role of the background noise as control parameter for the dynamics is studied.) Tj 0 -12 Td (Simulations have been conducted to interpret the observed phase transitions in brain dynamical behavior. The simulations used the cluster of) Tj 0 -12 Td (workstations with 16 parallel processors, which are available at the PI's Computational Neurodynamics Laboratory at the University of) Tj 0 -12 Td (ÌÇÐÄVlog´«Ã½.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 2:\r) Tj 0 -12 Td (Simulations have been conducted with moderate lattice sizes of up to 256x256. We performed analysis of phase transition near and far away) Tj 0 -12 Td (from the critical point in the space of random percolation rule and nonlocality of the cell-to cell interaction. Extensive studies are conducted to) Tj 0 -12 Td (identify ontogenetic development of collective behavior in neuropercolation models. We studied the parameter space of noise level and the) Tj 0 -12 Td (relative ratio of long axons. This latter parameter is the manifestation of small-world effects in cortical layers. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 3 and beyond:\r) Tj 0 -12 Td (Computations have been performed using both excitatory and inhibitory nodes, in order to generate non-trivial oscillations in 2d lattices. In) Tj 0 -12 Td (these models 3 control parameters have been identified and extensively studied: \(1\) background noise level, \(2\) long axon rate, \(3\) sparseness) Tj 0 -12 Td (of excitatory-inhibitory cross-links between populations. The following statistical properties of the simulated systems have been evaluated:) Tj 0 -12 Td (conditions of \(intermittent\) synchronization, clustering and cluster size distribution. We tested the conditions for producing 1/f^a type power) Tj 0 -12 Td (spectral densities, which are hallmarks of various cognitive activities in neurophysiology experiments. \r) Tj 0 -12 Td (\r) Tj 0 -12 Td (3. Mathematical modeling of phase transitions in random cellular automata \(Area Coordinator: Bela Bollobas, Co-PI\):\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 1:\r) Tj 0 -12 Td (The rigorous mathematical analysis of phase transitions in random models poses a very difficult problem. We have studied mean field models,) Tj 0 -12 Td (which allow a theoretical description of the onset of phase transitions and the behavior of the system near the critical point. As the next step, we) Tj 0 -12 Td (studied local random cellular automata models. The Toom cellular automaton is one of the very few examples of local models, in which a) Tj 0 -12 Td (thorough mathematical analysis has been successful. Using the biological intuition based on the observed neurophysiological processes in the) Tj 0 -12 Td (neuropil, we develop a mathematical model of phase transitions in local models. These activities are conducted on the University of ÌÇÐÄVlog´«Ã½) Tj 0 -12 Td (campus, and partly in the Theory Group of Microsoft Research, Seattle campus and Cambridge University, UK.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 2:\r) Tj 0 -12 Td (Theoretical efforts have been concentrated on two major fields: \(1\) mean-field models with non-local connections allow a thorough theoretical) Tj 0 -12 Td (understanding of the behavior for a wide range of control parameters; \(2\) in the case of local models, the case of small perturbations have been) Tj 0 -12 Td (investigated. The obtained rigorously proven mathematical results support the biologically motivated conjecture about the very rapid phase) Tj 0 -12 Td (transitions in local and non-local models.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 3 and beyond:\r) Tj 0 -12 Td (Random graph methods have been widely used and cited in the description of small-world effect and scale-free behavior in real-world) Tj 0 -12 Td (networks. Unfortunately, the existing approaches in the literature often lack mathematical rigor and can produce misleading results. We) Tj 0 -12 Td (developed a general framework of the application of random graphs for various 2-dimensional planar network applications in a mathematically) Tj 0 -12 Td (consistent way. We use the following major components: distribution of nodes, distribution of the length of edges, degree distribution across) Tj 0 -12 Td (nodes. After specifying these components, various behaviors of interest can be derived, e.g., as scale-free behavior, hub structure, the existence) Tj 0 -12 Td (of cycles of given length, etc.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Major Educational Activities\r) Tj ET endstream endobj 10 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 4 of 13) Tj /SerifB 10 Tf -290 722 Td (Other Collaborators or Contacts) Tj /Serif 10 Tf -230 -14 Td (Dr Peter Erdi, Henry R. Luce Professor of Complex Systems\r) Tj 0 -12 Td (Center for Complex System Studies, Kalamazoo College\r) Tj 0 -12 Td (and Head of Department of Biophysics, Hungarian Academy of Sciences, KFKI Research Institute Budapest, Hungary\r) Tj 0 -12 Td (Dr Erdi is well-known expert of brain dynamics. We collaborate with him on developing the proper approximation of brain dynamics to be) Tj 0 -12 Td (applied in our model.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Dr Prasun K. Roy, National Brain Research Center, Delhi, India and\r) Tj 0 -12 Td (Prof. D. Dutta Majumder, Indian Statistical Institute, Calcutta, India\r) Tj 0 -12 Td (We have completed recently a work with Dr Roy and Dr Majumder on oscillation-induced instability and phase transitions in biological) Tj 0 -12 Td (systems. This work deals with it operation of the immune system, and some of its conclusions are relevant for the work in the present projects) Tj 0 -12 Td (on brain studies.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Dr. M.D. Holmes, University of Washington, Harbor View Hospital, Seattle, WA\r) Tj 0 -12 Td (Based on the analysis and evalaution of data obtained by Dr Holmes, we have elaborated principles of information encoding during cognitive) Tj 0 -12 Td (processing in brains, which are used as important reference points in theoretical model building.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Dr. Jose Principe, Bell South Professorm Computational Neuroengineering, University of Florida, Gainesville, Fl.\r) Tj 0 -12 Td (Dr Principe is a leading expert on neural networks and its hardware implementation. We are collaborating with him on the chip implementation) Tj 0 -12 Td (of chaotic neurodynamics, which is a crucial future step and natural continuation/extension of our present study.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Sampsa Vanhatalo, University of Finland, Helsinki, Finland\r) Tj 0 -12 Td (Dr. Vanhatanlo is an experienced electroencephalographer. He has participated in EEG data acquisition and evaluations while working with Dr) Tj 0 -12 Td (Holmes at University of Washington, Seattle.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Dr. Robert Johnson, Department of Mathematics, London School of Economics, London, UK\r) Tj 0 -12 Td (Dr Johnson is a collaborator in the research work on neural percolation models.) Tj /SerifB 10 Tf 250 -56 Td (Activities and Findings) Tj -250 -30 Td (Research and Education Activities:) Tj /Serif 10 Tf 0 -14 Td (Major Research Activities\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (This is a strongly interdisciplinary project, including the following disciplines: neurobiology, computer science and information processing, and) Tj 0 -12 Td (mathematical modeling. Our research has also important implications in engineering, in particular in robot control, as it will be described in the) Tj 0 -12 Td (section of Contribution to other disciplines in engineering and science\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (1. Analysis of biological data on spatio-temporal brain activity \(Area Coordinator Co-PI WJ Freeman\)\r) Tj 0 -12 Td ( \r) Tj 0 -12 Td (Year 1:\r) Tj 0 -12 Td (Description of electrophysiological phenomena in the brains of animals and of human volunteers, in conjunction with learning and intentional) Tj 0 -12 Td (behavior. These phenomena indicate that cognitive processing occurs discontinuously in brains, with spatial frames of cognitive content) Tj 0 -12 Td (forming in succession at rates of 6 - 10 Hz. The formation appears to occur by a first order phase transition that can be modeled as a subcritical) Tj 0 -12 Td (Hopf bifurcation generalized to chaotic oscillations. The analyzed data are the results of previous experiments on rabbits at UC Berkeley in the) Tj 0 -12 Td (laboratory of Dr Freeman, completed in the NIMH grant MH06686 years ago, and on human volunteers at the University of Washington,) Tj 0 -12 Td (Harbor View Hospital \(conducted by Dr. M.D. Holmes\).\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 2:\r) Tj 0 -12 Td (EEG data were obtained from subjects with eyes open or closed, either at rest or sustaining low-level electromyographic potentials \(EMG\) from) Tj 0 -12 Td (scalp muscles. High-density arrays of electrodes were fixed intracranially \(8x8, 10x10 mm, spacing 1.25 mm\) on the superior temporal gyrus of) Tj 0 -12 Td (a candidate for surgery to treat intractable epilepsy, or extracranially on the scalp of 9 normal volunteers \(1x64 linear array, 189 mm in length) Tj 0 -12 Td (with 3 mm spacing\). The data were digitized at 5 ms intervals and for each subject from Seattle to Berkeley for analysis.\r) Tj 0 -12 Td (\r) Tj 0 -12 Td (Year 3 and beyond:\r) Tj ET 248.0 742.0 139.0 1.0 re f 268.0 372.0 96.0 1.0 re f endstream endobj 11 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 3 of 13) Tj /SerifB 10 Tf -470 722 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate student \(MSc\) working on biomedical application of intelligent signal prcessing.) Tj /SerifB 10 Tf -50 -33 Td (Undergraduate Student) Tj 0 -30 Td (Technician, Programmer) Tj 50 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Silver, Charlie) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (No) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He is involved in coordinating the interdisciplinary and outreach activies of this research project as part of the Computational) Tj 0 -12 Td (Neurodynamics Lab activities.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Burke, Brian) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Brian Burke works in the Lab of Dr Freeman at UC Berkeley as programmer. His task is to analyze EEG and MEG data and) Tj 0 -12 Td (develop computational models.) Tj /SerifB 10 Tf -50 -34 Td (Other Participant) Tj 0 -30 Td (Research Experience for Undergraduates) Tj 50 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Nordstad, Julia) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (REU work on data base development and management for various data resources, like EEG and simulations. ) Tj /SerifB 10 Tf 30 -18 Td (Years of schooling completed: ) Tj /Serif 10 Tf 140 0 Td (Junior ) Tj /SerifB 10 Tf -140 -15 Td (Home Institution: ) Tj /Serif 10 Tf 100 0 Td (Same as Research Site) Tj /SerifB 10 Tf -100 -15 Td (Home Institution if Other: ) Tj /Serif 10 Tf 130 0 Td ( ) Tj /SerifB 10 Tf -130 -15 Td (Home Institution Highest Degree Granted\(in fields supported by NSF\): ) Tj /Serif 10 Tf 310 0 Td (Doctoral Degree ) Tj /SerifB 10 Tf -310 -15 Td (Fiscal year\(s\) REU Participant supported: ) Tj /Serif 10 Tf 195 0 Td ( 2005 ) Tj /SerifB 10 Tf -195 -15 Td (REU Funding: ) Tj /Serif 10 Tf 70 0 Td (REU supplement) Tj /SerifB 10 Tf -100 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Scaiffe IV, Lewis) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (As REU sudent he has been involved in neuropercolation simulations research.) Tj /SerifB 10 Tf 30 -18 Td (Years of schooling completed: ) Tj /Serif 10 Tf 140 0 Td (Sophomore ) Tj /SerifB 10 Tf -140 -15 Td (Home Institution: ) Tj /Serif 10 Tf 100 0 Td (Same as Research Site) Tj /SerifB 10 Tf -100 -15 Td (Home Institution if Other: ) Tj /Serif 10 Tf 130 0 Td ( ) Tj /SerifB 10 Tf -130 -15 Td (Home Institution Highest Degree Granted\(in fields supported by NSF\): ) Tj /Serif 10 Tf 310 0 Td (Doctoral Degree ) Tj /SerifB 10 Tf -310 -15 Td (Fiscal year\(s\) REU Participant supported: ) Tj /Serif 10 Tf 195 0 Td ( 2006 ) Tj /SerifB 10 Tf -195 -15 Td (REU Funding: ) Tj /Serif 10 Tf 70 0 Td (REU supplement) Tj /SerifB 10 Tf 100 -30 Td (Organizational Partners) Tj -250 -15 Td (University of California-Berkeley) Tj /Serif 10 Tf 0 -14 Td (Dr WJ Freeman Neurophysiology Lab at UCB is involved in the project. They provide data resources on EEG and computational support) Tj 0 -12 Td (through a programmer.) Tj ET 268.0 106.0 105.0 1.0 re f endstream endobj 12 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 2 of 13) Tj /SerifB 10 Tf -470 722 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Demirer, Murat) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He has been involved on biomedial signal processing aspects and filter design for nonlinear and nonstational EEG data.) Tj /SerifB 10 Tf -50 -33 Td (Graduate Student) Tj 50 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Chen, Hui) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He is a graduate student working on the computational model of the project.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Majumdar, Nivedita) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (She has graduated as MSc last Summer and this fall she started to work on the project. She is a potential PhD candidate.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Puljic, Marko) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He completed his PhD in this project area. He was responsible for the computational model. Also he maintains the computer) Tj 0 -12 Td (system \(16 processor parallel computing\) as well as the project web page.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Wong, Chuen) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He has been Graduate student who conducts computer simulations.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Beliaev, Igor) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate student working on time series analysis and chaos modeling. His task is maintaining the Neurodynamics Toolbox) Tj 0 -12 Td (developed in MATLAB environment.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Ilin, Roman) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate student working on stability issues and modeling nonlinear dynamic systems.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Myers, Mark) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate student \(MSC and PhD\) for modeling EEG signals and establishing and maintaining clinical collaboration relevant to this) Tj 0 -12 Td (project.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Aluri, Ashok) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate \(MSc\) studnet for neuropercolation model simulations, in particular using the high-performance computing facilities.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Rodriguez, Jose) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (Graduate student \(MSc\) for signal processing and modeling aspects of EEG data.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Wilburn, Tracey) Tj ET endstream endobj 13 0 obj <> endobj 14 0 obj <> endobj 15 0 obj <> endobj 16 0 obj [/PDF/Text/ImageB] endobj 17 0 obj <> stream BT /Serif 10 Tf 0.0 0.0 0.0 rg 504 766 Td (Final Report: 0130352) Tj /SansSerif 10 Tf 34 -742 Td (Page 1 of 13) Tj /SerifB 10 Tf -520 714 Td (Final Report for Period:) Tj /Serif 10 Tf 114 0 Td (02/2006 - 06/2006) Tj /SerifB 10 Tf 236 0 Td (Submitted on:) Tj /Serif 10 Tf 64 0 Td (12/20/2006) Tj /SerifB 10 Tf -414 -15 Td (Principal Investigator:) Tj /Serif 10 Tf 100 0 Td (Kozma, Robert .) Tj /SerifB 10 Tf 250 0 Td (Award ID: ) Tj /Serif 10 Tf 50 0 Td (0130352) Tj /SerifB 10 Tf -400 -15 Td (Organization:) Tj /Serif 10 Tf 64 0 Td (University of ÌÇÐÄVlog´«Ã½ ) Tj /SerifB 10 Tf -64 -15 Td (Title:) Tj /Serif 10 Tf 0 -14 Td (Percolation Model of Phase Transitions in the Central Nervous Systems during Perceptual Information Processing) Tj /SerifB 10 Tf 250 -28 Td (Project Participants) Tj -250 -15 Td (Senior Personnel) Tj 50 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Kozma, Robert) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He is the PI and responsible for coordinating the project between mathematical, computational, and neurobiological areas. Within) Tj 0 -12 Td (the research areas, he is responsible for modeling and computational aspects of neuropercolation.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Freeman, Walter) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (he is involved in the neuroscience aspects of the model. Providing experimental data and biological motivation for mathematical) Tj 0 -12 Td (modeling.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Bollobas, Bela) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He is Co-PI and responsible for the graph theoretical aspects of the project.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Balister, Paul) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He is involved in the mathematical and graph theory modeling aspects of the project.) Tj /SerifB 10 Tf -50 -33 Td (Post-doc) Tj 50 -15 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Walters, Mark) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He worked on the mathematical modeling of neuropercolation. He is partially supported by the present project. Otehr supports) Tj 0 -12 Td (coming from DARPA.\r) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Voicu, Horatiu) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He worked as a postdoc fellow with an appointment of 1 year, on applications of the computational model in the design of) Tj 0 -12 Td (autonomous intelligent systems.) Tj /SerifB 10 Tf 0 -19 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Majumdar, Kaushik) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He participated in the project as a Fullbright Visiting fellow for a period of 9 month. He has been involved in modeling.) Tj /SerifB 10 Tf 0 -18 Td (Name: ) Tj /Serif 10 Tf 30 0 Td (Lendasse, Amaury) Tj /SerifB 10 Tf -30 -15 Td (Worked for more than 160 Hours: ) Tj /Serif 10 Tf 163 0 Td (Yes) Tj /SerifB 10 Tf -163 -15 Td (Contribution to Project: ) Tj /Serif 10 Tf 0 -14 Td (He worked on statistical modeling and data processing of nonlinear time series.) 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