Coupled Oscillating Neurons

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Coupled Oscillating Neurons

Author : J.G. Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 1447119657
Total Pages : 153 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Coupled Oscillating Neurons by : J.G. Taylor

Download or read book Coupled Oscillating Neurons written by J.G. Taylor and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of proceedings of the one-day conference on "Coupled Oscillating Neurons" held at King's College, London on December 13th, 1990. The subject is currently of increasing interest to neurophysiologists, neural network researchers, applied mathematicians and physicists. The papers attempt to cover the major areas of the subject, as the titles indicate. It is hoped that the appearance of the papers (some of which have been updated since their original presentation) indicates why the subject is becoming of great excitement. A better understanding of coupled oscillating neurons may well hold the key to a clearer appreciation of the manner in which neural networks composed of such elements can control complex behaviour from the heart to consciousness. December 1991 J.G. Taylor King's College, London C.L.T. Mannion CONTENTS Contributors....... ..................... .......... .......................... .................... ix Introduction to Nonlinear Oscillators I. Stewart ....................................................................................... . Identical Oscillator Networks with Symmetry P.B. Ashwin .................................................................................... 21 Bifurcating Neurones AV. Holden, J. Hyde, M.A Muhamad, H.G. Zhang....................... 41 A Model for Low Threshold Oscillations in Neurons J.L. Hindmarsh, R.M. Rose ............................................................ 81 Information Processing by Oscillating Neurons C.L. T. Mannion, J.G. Taylor ........................................................... 100 Gamma Oscillations, Association and Consciousness R.M.J. Cotterill, C. Nielsen ............................................................. 117 Modelling of Cardiac Rhythm: From Single Celis to Massive Networks D. Noble, J. C. Denyer, H.F. Brown, R. Winslow, A Kimball .......... 1 32 CONTRIBUTORS Ashwin, P.B. Mathematics Institute, University of Warwick, Coventry, CV4 7 AL, UK Brown, H.F.

Coupled Oscillating Neurons

Author : John Gerald Taylor
Publisher : Springer
ISBN 13 : 9780387197449
Total Pages : 145 pages
Book Rating : 4.1/5 (974 download)

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Book Synopsis Coupled Oscillating Neurons by : John Gerald Taylor

Download or read book Coupled Oscillating Neurons written by John Gerald Taylor and published by Springer. This book was released on 1992 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Oscillations in Neural Systems

Author : Daniel S. Levine
Publisher : Psychology Press
ISBN 13 : 1135691908
Total Pages : 454 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Oscillations in Neural Systems by : Daniel S. Levine

Download or read book Oscillations in Neural Systems written by Daniel S. Levine and published by Psychology Press. This book was released on 1999-09 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for those interested in designing machines to perform intelligent functions & those interested in studying how these functions are performed by living organisms,this bk dicusses the mathematical structure & functional significance of neural oscil

Understanding the Importance of Temporal Coupling of Neural Activities in Information Processing Underlying Action and Perception

Download Understanding the Importance of Temporal Coupling of Neural Activities in Information Processing Underlying Action and Perception PDF Online Free

Author : Daya Shankar Gupta
Publisher : Frontiers Media SA
ISBN 13 : 2889715124
Total Pages : 249 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Understanding the Importance of Temporal Coupling of Neural Activities in Information Processing Underlying Action and Perception by : Daya Shankar Gupta

Download or read book Understanding the Importance of Temporal Coupling of Neural Activities in Information Processing Underlying Action and Perception written by Daya Shankar Gupta and published by Frontiers Media SA. This book was released on 2021-10-20 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Neuronal Dynamics

Author : Wulfram Gerstner
Publisher : Cambridge University Press
ISBN 13 : 1107060834
Total Pages : 591 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Neuronal Dynamics by : Wulfram Gerstner

Download or read book Neuronal Dynamics written by Wulfram Gerstner and published by Cambridge University Press. This book was released on 2014-07-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This solid introduction uses the principles of physics and the tools of mathematics to approach fundamental questions of neuroscience.

Frequency-dependent Response of Neurons to Oscillating Electric Fields

Author : Naveed A. Malik
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (857 download)

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Book Synopsis Frequency-dependent Response of Neurons to Oscillating Electric Fields by : Naveed A. Malik

Download or read book Frequency-dependent Response of Neurons to Oscillating Electric Fields written by Naveed A. Malik and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Neuronal interactions with electric fields depend on the biophysical properties of the neuronal membrane as well as the geometry of the cell relative to the field vector. Biophysically detailed modeling of these spatial effects is central to understanding neuron-to-neuron electrical (ephaptic) interactions as well as how externally applied electrical fields, such as radio-frequency radiation from wireless devices or therapeutic Deep Brain Stimulation (DBS), interact with neurons. Here we examine in detail the shape-dependent response properties of cells in oscillating electrical fields by solving Maxwell's equations for geometrically extended neurons. Early modeling for compact (spherical) cells in alternating fields predicts a smaller effective membrane time constant for the field-cell system compared to direct current injection via whole-cell patch clamp. This result, predicting that cells should respond strongly to field oscillations in the kHz range, was verified later in vitro for murine myeloma cells. However, recent experiments on CA3 pyramidal cells (highly elongated neurons) in the hippocampus do not exhibit this high frequency response. In this thesis we examine the implications of modeling full two-way coupling between three-dimensional cylindrical neurons and the extracellular field utilizing three different methodologies, namely: cable equation, finite-difference and finite-element. Our modeling demonstrates that the electrotonic length and orientation of the cell to the field are key determinants of the neuronal response to oscillating fields. This explains the experimentally observed absence of the high frequency response for pyramidal neurons when the applied field direction is oriented along their dendritic axis. Additionally, we developed biophysically detailed models of neuronal membranes with quasi-active electrical properties stemming from voltage-gated currents. These are known to lead to resonances at characteristic frequencies in the case of current injection via whole-cell patch clamp. Interestingly, in the field-cell system, the resonance was masked in compact, spherical neurons but recovered in elongated neurons. Utilizing our cable and finite-element models, we investigate the effect of point-source stimulation on cylindrical neurons and find a novel type of "passive resonance" not reported before in the literature. We further extend our modeling by incorporating Hodgkin Huxley channels in to the membrane and construct a fully active, spiking model of a neuron, fully coupled to the applied electric fields. We then go on to embed the neuron in to an array of cells to validate our results at the tissue-level. These findings delineate the relationship between neuron shape, orientation and susceptibility to high frequency electric fields, with implications for DBS efficacy, ephaptic coupling in networks and the filtering properties of cortical tissue.

Biological Clocks, Rhythms, and Oscillations

Author : Daniel B. Forger
Publisher : MIT Press
ISBN 13 : 0262552817
Total Pages : 369 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger

Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.

Rhythms of the Brain

Author : Gyorgy Buzsaki
Publisher : Oxford University Press
ISBN 13 : 019804125X
Total Pages : 466 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Rhythms of the Brain by : Gyorgy Buzsaki

Download or read book Rhythms of the Brain written by Gyorgy Buzsaki and published by Oxford University Press. This book was released on 2006-08-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides eloquent support for the idea that spontaneous neuron activity, far from being mere noise, is actually the source of our cognitive abilities. In a sequence of "cycles," György Buzsáki guides the reader from the physics of oscillations through neuronal assembly organization to complex cognitive processing and memory storage. His clear, fluid writing-accessible to any reader with some scientific knowledge-is supplemented by extensive footnotes and references that make it just as gratifying and instructive a read for the specialist. The coherent view of a single author who has been at the forefront of research in this exciting field, this volume is essential reading for anyone interested in our rapidly evolving understanding of the brain.

Jasper's Basic Mechanisms of the Epilepsies

Author : Jeffrey Noebels
Publisher : OUP USA
ISBN 13 : 0199746540
Total Pages : 1258 pages
Book Rating : 4.1/5 (997 download)

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Book Synopsis Jasper's Basic Mechanisms of the Epilepsies by : Jeffrey Noebels

Download or read book Jasper's Basic Mechanisms of the Epilepsies written by Jeffrey Noebels and published by OUP USA. This book was released on 2012-06-29 with total page 1258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jasper's Basic Mechanisms, Fourth Edition, is the newest most ambitious and now clinically relevant publishing project to build on the four-decade legacy of the Jasper's series. In keeping with the original goal of searching for "a better understanding of the epilepsies and rational methods of prevention and treatment.", the book represents an encyclopedic compendium neurobiological mechanisms of seizures, epileptogenesis, epilepsy genetics and comordid conditions. Of practical importance to the clinician, and new to this edition are disease mechanisms of genetic epilepsies and therapeutic approaches, ranging from novel antiepileptic drug targets to cell and gene therapies.

Embodiments of Mind

Author : Warren S. McCulloch
Publisher : MIT Press
ISBN 13 : 0262529610
Total Pages : 484 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis Embodiments of Mind by : Warren S. McCulloch

Download or read book Embodiments of Mind written by Warren S. McCulloch and published by MIT Press. This book was released on 2016-10-22 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Writings by a thinker—a psychiatrist, a philosopher, a cybernetician, and a poet—whose ideas about mind and brain were far ahead of his time. Warren S. McCulloch was an original thinker, in many respects far ahead of his time. McCulloch, who was a psychiatrist, a philosopher, a teacher, a mathematician, and a poet, termed his work “experimental epistemology.” He said, “There is one answer, only one, toward which I've groped for thirty years: to find out how brains work.” Embodiments of Mind, first published more than fifty years ago, teems with intriguing concepts about the mind/brain that are highly relevant to recent developments in neuroscience and neural networks. It includes two classic papers coauthored with Walter Pitts, one of which applies Boolean algebra to neurons considered as gates, and the other of which shows the kind of nervous circuitry that could be used in perceiving universals. These first models are part of the basis of artificial intelligence. Chapters range from “What Is a Number, that a Man May Know It, and a Man, that He May Know a Number,” and “Why the Mind Is in the Head,” to “What the Frog's Eye Tells the Frog's Brain” (with Jerome Lettvin, Humberto Maturana, and Walter Pitts), “Machines that Think and Want,” and “A Logical Calculus of the Ideas Immanent in Nervous Activity” (with Walter Pitts). Embodiments of Mind concludes with a selection of McCulloch's poems and sonnets. This reissued edition offers a new foreword and a biographical essay by McCulloch's one-time research assistant, the neuroscientist and computer scientist Michael Arbib.

Multimodal Oscillation-based Connectivity Theory

Author : Satu Palva
Publisher : Springer
ISBN 13 : 3319322656
Total Pages : 152 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Multimodal Oscillation-based Connectivity Theory by : Satu Palva

Download or read book Multimodal Oscillation-based Connectivity Theory written by Satu Palva and published by Springer. This book was released on 2016-06-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems-level neuronal mechanisms that coordinate the temporally, anatomically, and functionally distributed neuronal activity into coherent cognitive operations in the human brain have remained poorly understood. In humans, neuronal oscillations and synchronization can be recorded non-invasively with electro- and magnetoencephalography (EEG and MEG) that have excellent temporal resolution and an adequate spatial resolution when combined with source-reconstruction methods. In this book, leading authors in the field describe how recent methodological advances have paved the way to several major breakthroughs in the observations of large-scale synchrony from human non-invasive MEG data. This volume also presents the caveats influencing analyses of synchronization. These include the non-homogeneous sensitivity of MEG to superficial cortical sources, and, most importantly, the multitude of consequences of linear mixing. Linear mixing is an immense confounder in the sensor-level analyses of synchronization, but is also present at the source level. Approaches that can be used to avoid or compensate for these issues are then discussed. Thereafter, several authors take up a number of the functional roles that large-scale synchronization has in cognition. The authors assess how the spatio–temporal and –spectral organization and strength of both local and large-scale synchronized networks are associated with conscious sensory perception, visual working memory functions, and attention. These chapters summarize several lines of research showing how the strength of local and inter-areal oscillations in both cortical and subcortical brain structures is correlated with cognitive functions. Together these data suggest that synchronized neuronal oscillations may be a systems-level neuronal mechanism underlying the coordination of distributed processing in human cognition. In line with this argument, other authors go on to describe how oscillations and synchronization are altered in clinical populations, complementing the data presented on healthy subjects. Importantly, this book includes chapters from authors using many different approaches to the analyses of neuronal oscillations, ranging from local oscillatory activities to the usage of graph theoretical tools in the analyses of synchronization. In this way the present volume provides a comprehensive view on the analyses and functional significance of neuronal oscillations in humans. This book is aimed at doctoral and post-doctoral students as well as research scientists in the fields of cognitive neuroscience, psychology, medicine, and neurosciences.

The olivo-cerebellar system

Author : Egidio D'Angelo
Publisher : Frontiers Media SA
ISBN 13 : 288919826X
Total Pages : 324 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis The olivo-cerebellar system by : Egidio D'Angelo

Download or read book The olivo-cerebellar system written by Egidio D'Angelo and published by Frontiers Media SA. This book was released on 2016-04-29 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last decades, investigations on the olivo-cerebellar system have attained a high level of sophistication, which led to redefinitions of several structural and functional properties of neurons, synapses, connections and circuits. Research has expanded and deepened in so many directions and so many theories and models have been proposed that an ensemble review of the matter is now needed. Yet, hot topics remain open and scientific discussion is very lively at several fronts. One major question, here as well as in other major brain circuits, is how single neurons and synaptic properties emerge at the network level and contribute to behavioural regulation via neuronal plasticity. Other major aspects that this Research Topic covers and discusses include the development and circuit organization of the olivo-cerebellar network, the established and recent theories of learning and motor control, and the emerging role of the cerebellum in cognitive processing. By touching on such varied and encompassing subjects, this Frontiers Special Topic aims to highlight the state of the art and stimulate future research. We hope that this unique collection of high-quality articles from experts in the field will provide scientists with a powerful basis of knowledge and inspiration to enucleate the major issues deserving further attention.

Assessment of Cross-frequency Phase-amplitude Coupling in Neuronal Oscillations

Author : Tamanna Tabassum Khan Munia
Publisher :
ISBN 13 :
Total Pages : 141 pages
Book Rating : 4.7/5 (621 download)

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Book Synopsis Assessment of Cross-frequency Phase-amplitude Coupling in Neuronal Oscillations by : Tamanna Tabassum Khan Munia

Download or read book Assessment of Cross-frequency Phase-amplitude Coupling in Neuronal Oscillations written by Tamanna Tabassum Khan Munia and published by . This book was released on 2021 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oscillatory activity in the brain has been associated with a wide variety of cognitive processes including decision making, feedback processing, and working memory control. The high temporal resolution provided by electroencephalography (EEG) enables the study of variation of oscillatory power and coupling across time. Various forms of neural synchrony across frequency bands have been suggested as the mechanism underlying neural binding. Recently, a considerable amount of work has focused on phase-amplitude coupling (PAC)- a form of cross-frequency coupling where the amplitude of a high-frequency signal is modulated by the phase of low-frequency oscillations.The existing methods for assessing PAC have certain limitations which can influence the final PAC estimates and the subsequent neuroscientific findings. These limitations include low frequency resolution, narrowband assumption, and inherent requirement of bandpass filtering. These methods are also limited to quantifying univariate PAC and cannot capture inter-areal cross frequency coupling between different brain regions. Given the availability of multi-channel recordings, a multivariate analysis of phase-amplitude coupling is needed to accurately quantify the coupling across multiple frequencies and brain regions. Moreover, the existing PAC measures are usually stationary in nature, focusing on phase-amplitude modulations within a particular time window or over arbitrary sliding short time windows. Therefore, there is a need for computationally efficient measures that can quantify PAC with a high-frequency resolution, track the variation of PAC with time, both in bivariate and multivariate settings and provide a better insight into the spatially distributed dynamic brain networks across different frequency bands.In this thesis, we introduce a PAC computation technique that aims to overcome some of these drawbacks and extend it to multi-channel settings for quantifying dynamic cross-frequency coupling in the brain. The main contributions of the thesis are threefold. First, we present a novel time frequency based PAC (t-f PAC) measure based on a high-resolution complex time-frequency distribution, known as the Reduced Interference Distribution (RID)-Rihaczek. This t-f PAC measure overcomes the drawbacks associated with filtering by extracting instantaneous phase and amplitude components directly from the t-f distribution and thus provides high resolution PAC estimates. Following the introduction of a complex time-frequency-based high resolution PAC measure, we extend this measure to multi-channel settings to quantify the inter-areal PAC across multiple frequency bands and brain regions. We propose a tensor-based representation of multi-channel PAC based on Higher Order Robust PCA (HoRPCA). The proposed method can identify the significantly coupled brain regions along with the frequency bands that are involved in the observed couplings while accurately discarding the non-significant or spurious couplings. Finally, we introduce a matching pursuit-based dynamic PAC (MP-dPAC) measure that allows us to compute PAC from time and frequency localized atoms that best describe the signal and thus capture the temporal variation of PAC using a data-driven approach. We evaluate the performance of the proposed methods on both synthesized and real EEG data collected during a cognitive control-related error processing study. Based on our results, we posit that the proposed multivariate and dynamic PAC measures provide a better insight into understanding the spatial, spectral, and temporal dynamics of cross-frequency phase-amplitude coupling in the brain.

Mathematical Foundations of Neuroscience

Author : G. Bard Ermentrout
Publisher : Springer Science & Business Media
ISBN 13 : 0387877088
Total Pages : 434 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Mathematical Foundations of Neuroscience by : G. Bard Ermentrout

Download or read book Mathematical Foundations of Neuroscience written by G. Bard Ermentrout and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies methods from nonlinear dynamics to problems in neuroscience. It uses modern mathematical approaches to understand patterns of neuronal activity seen in experiments and models of neuronal behavior. The intended audience is researchers interested in applying mathematics to important problems in neuroscience, and neuroscientists who would like to understand how to create models, as well as the mathematical and computational methods for analyzing them. The authors take a very broad approach and use many different methods to solve and understand complex models of neurons and circuits. They explain and combine numerical, analytical, dynamical systems and perturbation methods to produce a modern approach to the types of model equations that arise in neuroscience. There are extensive chapters on the role of noise, multiple time scales and spatial interactions in generating complex activity patterns found in experiments. The early chapters require little more than basic calculus and some elementary differential equations and can form the core of a computational neuroscience course. Later chapters can be used as a basis for a graduate class and as a source for current research in mathematical neuroscience. The book contains a large number of illustrations, chapter summaries and hundreds of exercises which are motivated by issues that arise in biology, and involve both computation and analysis. Bard Ermentrout is Professor of Computational Biology and Professor of Mathematics at the University of Pittsburgh. David Terman is Professor of Mathematics at the Ohio State University.

Temporal Coding in the Brain

Author : G. Buzsaki
Publisher : Springer Science & Business Media
ISBN 13 : 3642851487
Total Pages : 308 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Temporal Coding in the Brain by : G. Buzsaki

Download or read book Temporal Coding in the Brain written by G. Buzsaki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Temporal coding in the brain documents a revolution now occurring in the neurosciences. How does parallel processing of information bind together the complex nature of the outer and our inner worlds? Do intrinsic oscillations and transient cooperative states of neurons represent the physiological basis of cognitive and motor functions of the brain? Some answers to these challenging issues are provided in this book by leading world experts of brain function. A common denominator of the works presented in this volume is the nature and mechanisms of neuronal cooperation in the temporal domain. The topics range from simple organisms to the human brain. The volume is intended for investigators and graduate students in neurophysiology, cognitive neuroscience, neural computation and neurology.

Electric Fields of the Brain

Author : Paul L. Nunez
Publisher : Oxford University Press, USA
ISBN 13 : 019505038X
Total Pages : 629 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Electric Fields of the Brain by : Paul L. Nunez

Download or read book Electric Fields of the Brain written by Paul L. Nunez and published by Oxford University Press, USA. This book was released on 2006 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work investigates the connections between psychology and physiology. Topics include synaptic sources, electrode placement, choice of reference, volume conduction, power and coherence, projection of scalp potentials to dura surface, dynamic signatures of conscious experience and more.

Neural Modeling and Neural Networks

Author : F. Ventriglia
Publisher : Elsevier
ISBN 13 : 1483287904
Total Pages : 363 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Neural Modeling and Neural Networks by : F. Ventriglia

Download or read book Neural Modeling and Neural Networks written by F. Ventriglia and published by Elsevier. This book was released on 2013-10-22 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research in neural modeling and neural networks has escalated dramatically in the last decade, acquiring along the way terms and concepts, such as learning, memory, perception, recognition, which are the basis of neuropsychology. Nevertheless, for many, neural modeling remains controversial in its purported ability to describe brain activity. The difficulties in "modeling" are various, but arise principally in identifying those elements that are fundamental for the expression (and description) of superior neural activity. This is complicated by our incomplete knowledge of neural structures and functions, at the cellular and population levels. The first step towards enhanced appreciation of the value of neural modeling and neural networks is to be aware of what has been achieved in this multidisciplinary field of research. This book sets out to create such awareness. Leading experts develop in twelve chapters the key topics of neural structures and functions, dynamics of single neurons, oscillations in groups of neurons, randomness and chaos in neural activity, (statistical) dynamics of neural networks, learning, memory and pattern recognition.