Chaos In Brain Function

Author : Erol Başar
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9783642755453

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Chaos in Brain Function by Erol Başar Pdf

The analysis of deterministic chaos is currently an active field in many branches of research. Mathematically all nonlinear dynamical systems with more than two degrees of freedom can generate chaos, becoming unpredictable over a longer time scale. The brain is a nonlinear system par excellence. Accordingly, the concepts of chaotic dynamics have found, in the last five years, an important application in research on compound electrical activity of the brain. The present volume seeks to cover most of the relevant studies in the newly emerging field of chaotic attractors in the brain. This volume is essentially a selection and reorganization of contri butions from the first two volumes in the Springer Series in Brain Dynamics, which were based on conferences held in 1985 and 1987 in Berlin. It also includes (a) a survey of progress in the recording of evoked oscillations of the brain both at the cellular and EEG levels and (b) an agenda for research on chaotic dynamics. Although the first publications pointing out evidence of chaotic behavior of the EEG did not appear until the beginning of 1985, the presence of the pioneering scientists in this field gave the participants at the first conference (volume 1) a strong impulse toward this field. For me, as conference organizer, having been for a long time active in nonlinear EEG research, the integration of this topic was self-evident; however, the enthusiasm of the conference participants was greater than expected.

Author : Erol Başar
Publisher : Unknown
Page : 176 pages
File Size : 55,8 Mb
Release : 1990
Category : Brain
ISBN : 4431523294

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Chaos in Brain Function by Erol Başar Pdf

Author : K Lehnertz,C E Elger,J Arnhold,P Grassberger
Publisher : World Scientific
Page : 384 pages
File Size : 46,5 Mb
Release : 2000-01-25
Category : Medical
ISBN : 9789814493581

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Chaos in Brain? by K Lehnertz,C E Elger,J Arnhold,P Grassberger Pdf

There has been a heated debate about whether chaos theory can be applied to the dynamics of the human brain. While it is obvious that nonlinear mechanisms are crucial in neural systems, there has been strong criticism of attempts to identify at strange attractors in brain signals and to measure their fractal dimensions, Lyapunov exponents, etc. Conventional methods analyzing brain dynamics are largely based on linear models and on Fourier spectra. Regardless of the existence of strange attractors in brain activity, the neurosciences should benefit greatly from alternative methods that have been developed in recent years for the analysis of nonlinear and chaotic behavior. Contents:Cortical Dynamics — Experiments and Models (S Rotter & A Aertsen)Is Nonlinearity Evident in Time Series of Brain Electrical Activity? (T Schreiber)Finding and Characterizing Unstable Fixed Points by Controlling System Dynamics (D T Kaplan)Detection of Phase Locking from Noisy Data: Application to Magnetoencephalography (M Rosenblum et al.)Dynamical Analysis in Clinical Practice (P E Rapp & T I Schmah)Rhythms of the Brain: Between Randomness and Determinism (F H Lopes da Silva et al.)Pre-ictal Changes of the EEG Dynamics in Epileptic Patients: Clinical and Neurobiological Implications (M Baulac et al.)Spatio-Temporal Dynamics of Epileptogenic Networks (M Le van Quyen et al.)Pre-ictal Changes and EEG Analyses Within the Framework of Lyapunov Theory (H R Moser et al.)Epilepsy — When Chaos Fails (J C Sackellares et al.)Possible Clinical and Research Applications of Nonlinear EEG Analysis in Humans (K Lehnertz et al.)Dynamics of EEG Signals During Petit-Mal Epileptic Seizures (R Friedrich)Detection of Epileptic Dynamics in Neuromagnetic Signals: Spectral Analyses Versus Characteristics of Correlation Function (E Bohl et al.)Nonlinear Methods for Evoked Potential Analyses and Modeling (B H Jansen)From Slow Potentials to Chaos: Processing in the Brain and Controlling the Brain (H Preiβl & W Lutzenberger)and other papers Readership: Neural scientists, physicists, statisticians and mathematicians interested in applying nonlinear dynamical system theory to brain research. Keywords:Human Brain Dynamics;Chaos Theory;Linear Models;Fourier Spectra

Author : Dennis W Duke,W S Pritchard
Publisher : World Scientific
Page : 266 pages
File Size : 46,9 Mb
Release : 1991-10-31
Category : Electronic
ISBN : 9789814555982

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Measuring Chaos In The Human Brain - Proceedings Of The Conference by Dennis W Duke,W S Pritchard Pdf

This conference brought together scientists from diverse disciplines such as biomedical and electrical engineering, mathematics, physics, neurology, neuroscience, psychophysiology and psychology to discuss the application of nonlinear dynamics in the study of brain function. This is a relatively new field which involves measuring the properties of chaotic strange attractors in the human EEG. Probably the earliest and still most exciting result in the field is that 'the more chaos the better' is the rule in many physiological areas. We have only the most speculative ideas about why the brain might be chaotic and what the implications are if it really is. The potential is unimaginably large. This volume will serve to inspire others to pursue research in this field and point the way in some promising directions.

Author : Hans Liljenstrom
Publisher : World Scientific
Page : 292 pages
File Size : 54,8 Mb
Release : 2000
Category : Mathematics
ISBN : 981281339X

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Disorder Versus Order in Brain Function by Hans Liljenstrom Pdf

The main aim of this book is to raise and clear up the intriguing problems of noise and chaos in the nervous system. What functional role do fluctuations in neural systems play? Are there chaotic processes in the brain? What is the neural code, and how robust is it towards noise? Are there mechanisms that can control noise and chaos? The book provides an introduction to this new and hot field of research, and at the same time brings the reader to the forefront of scientific inquiry. It is intended primarily for biologists involved in theoretical treatment and for physicists with an interest in biology, but the overview character of the articles makes it also well suited for a broader readership.

Author : Peter Århem,Clas Blomberg,Hans Liljenström
Publisher : World Scientific
Page : 284 pages
File Size : 50,5 Mb
Release : 2000-06-12
Category : Science
ISBN : 9789814494489

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Disorder Versus Order in Brain Function by Peter Århem,Clas Blomberg,Hans Liljenström Pdf

The main aim of this book is to raise and clear up the intriguing problems of noise and chaos in the nervous system. What functional role do fluctuations in neural systems play? Are there chaotic processes in the brain? What is the neural code, and how robust is it towards noise? Are there mechanisms that can control noise and chaos? The book provides an introduction to this new and hot field of research, and at the same time brings the reader to the forefront of scientific inquiry. It is intended primarily for biologists involved in theoretical treatment and for physicists with an interest in biology, but the overview character of the articles makes it also well suited for a broader readership. Contents:Disorder versus Order in Brain Function — An Introduction (P Århem et al.)A Primer on Noise and Chaos (C Blomberg)Molecular Background to Neural Fluctuations: An Introduction to Ion Channel Kinetics (P Århem)What Causes Ion Channel Proteins to Open and Close? (L Liebovitch & A Todorov)Noise in Neural Computation (D Smetters)Do Neurons Recognize Patterns or Rates? One Example (F Moss & H Braun)A Physicist's View of Brain Functioning: Coherence, Chaos, Pattern Formation, Noise (H Haken)Fluctuations in the Coordination Dynamics of Brain and Behavior (S Kelso)Brains Create Macroscopic Order from Microscopic Disorder by Neurodynamics in Perception (W Freeman)Some Randomness Benefits a Model of Hippocampal Function (W Levy & X-B Wu)Consciousness, Schemata and Language (R Cotterill) Readership: Graduate students, academics and research scientists in chaos/dynamical systems and neuroscience. Keywords:Determinism;Indeterminism;Stochastic Process;Fluctuations;Noise;Chaos;Neural Code;Neural Network;Neurodynamics;Ion Channel Kinetics

Author : Erol Başar,Theodore H. Bullock
Publisher : Springer Science & Business Media
Page : 554 pages
File Size : 47,8 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9783642745577

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Brain Dynamics by Erol Başar,Theodore H. Bullock Pdf

This volume is based on contributions to the second Brain Dynamics Conference, held in Berlin on August 10-14, 1987, as a satellite conference of the Budapest Congress of the International Brain Research Organization. Like the volume resulting from the first conference, Dynamics of Sensory and Cognitive Processing by the Brain, the present work covers new approaches to brain function, with emphasis on electromagnetic fields, EEG, event-related potentials, connectivistic views, and neural networks. Close attention is also paid to research in the emerging field of deterministic chaos and strange attractors. The diversity of this collection of papers reflects a multipronged advance in a hitherto relatively neglected domain, i. e., the study of signs of dynamic processes in organized neural tissue in order both to explain them and to exploit them for clues to system function. The need is greater than ever for new windows. This volume reflects a historical moment, the moment when a relatively neglected field of basic research into available signs of dynamic processes ongoing in organized neural tissue is expanding almost explosively to complement other approaches. From the topics treated, this book should appeal, as did its predecessor, to neuroscientists, neurologists, scientists studying complex systems, artificial intelligence, and neural networks, psychobiologists, and all basic and clinical investigators concerned with new techniques of monitoring and analyzing the brain's electromagnetic activity.

Author : Erol Başar
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 48,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642721922

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Brain Function and Oscillations by Erol Başar Pdf

by W. J. Freeman These two volumes on "Brain Oscillations" appear at a most opportune time. As the "Decade of the Brain" draws to its close, brain science is coming to terms with its ultimate problem: understanding the mechanisms by which the immense number of neurons in the human brain interact to produce the higher cognitive functions. The ideas, concepts, methods, interpretations and examples, which are presented here in voluminous detail by a world-class authority in electrophysiology, summarize the intellectual equipment that will be required to construct satisfactory solutions to the problem. Neuroscience is ripe for change. The last revolution of ideas took place in the middle of the century now ending, when the field took a sharp turn into a novel direction. During the preceding five decades the prevailing view, carried forward from the 19th century, was that neurons are the carriers of nerve energy, either in chemical or electrical forms (Freeman, 1995). That point of view was enormously productive in terms of coming to understand the chemical basis for synaptic transmission, the electrochemistry of the ac tion potential, the ionic mechanisms of membrane currents and gates, the functional neuroanatomy that underlies the hierarchy of reflexes, and the neural fields and'their resonances that support Gestalt phenomena. No bet ter testimony can be given of the power of the applications of this approach than to point out that it provides the scientific basis for contemporary neu rology, neuropsychiatry, and brain imaging.

Author : Dietmar Plenz,Ernst Niebur
Publisher : John Wiley & Sons
Page : 592 pages
File Size : 47,8 Mb
Release : 2014-04-14
Category : Computers
ISBN : 9783527651023

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Criticality in Neural Systems by Dietmar Plenz,Ernst Niebur Pdf

Leading authorities in the field review current experimental and theoretical knowledge on criticality and brain function. The book begins by summarizing experimental evidence for criticality and self-organized criticality in the brain. Subsequently, important breakthroughs in modeling of critical neuronal circuits and how to establish self-organized criticality in the brain are described. A milestone publication, defining upcoming directions of research in this new fi eld and set to become the primary source of information on the brain and criticality.

Author : Theodore Melnechuk,Erol Başar
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 55,9 Mb
Release : 2012-12-06
Category : Medical
ISBN : 9783642715310

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Dynamics of Sensory and Cognitive Processing by the Brain by Theodore Melnechuk,Erol Başar Pdf

In neurophysiology, the emphasis has been on single-unit studies for a quarter century, since the sensory work by Lettwin and coworkers and by Hubel and Wiesel, the cen tral work by Mountcastle, the motor work by the late Evarts, and so on. In recent years, however, field potentials - and a more global approach general ly - have been receiving renewed and increasing attention. This is a result of new findings made possible by technical and conceptual advances and by the confirma tion and augmentation of earlier findings that were widely ignored for being contro versial or inexplicable. To survey the state of this active field, a conference was held in West Berlin in August 1985 that attempted to cover all of the new approaches to the study of brain function. The approaches and emphases were very varied: basic and applied, electric and magnetic, EEG and EP/ERP, connectionistic and field, global and local fields, surface and multielectrode, low frequencies and high frequencies, linear and non linear. The conference comprised sessions of invited lectures, a panel session of seven speakers on "How brains may work," and a concluding survey of relevant methodologies. The conference showed that the combination of concepts, methods, and results could open up new important vistas in brain research. Included here are the proceedings of the conference, updated and revised by the authors. Several attendees who did not present papers at the conference later ac cepted my invitation to write chapters for the book.

Author : Jose Luis Perez Velazquez,Marina Frantseva
Publisher : World Scientific
Page : 370 pages
File Size : 54,8 Mb
Release : 2011
Category : Medical
ISBN : 9789814340601

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The Brain-behavior Continuum by Jose Luis Perez Velazquez,Marina Frantseva Pdf

This book is a comprehensive overview of the main current concepts in brain cognitive activities at the global, collective (or network) level, with a focus on transitions between normal neurophysiology and brain pathological states. It provides a unique approach of linking molecular and cellular aspects of normal and pathological brain functioning with their corresponding network, collective and dynamical manifestations that are subsequently extended to behavioural manifestations of healthy and diseased brains. This book introduces a high-level perspective, searching for simplification amongst the structural and functional complexity of nervous systems by consideration of the distributed interactions that underlie the collective behaviour of the system. The authors hope that this approach could promote a global comprehensive understanding of high-level laws behind the elementary biological processes in the neuroscientific community, while, perhaps, introducing elements of biological complexities to the mathematical/computational readership. The title of the book refers to the main point of the monograph: that there is a smooth continuum between distinct brain activities resulting in different behaviours, and that, due to the plastic nature of the brain, the behaviour can also alter the brain function, thus rendering artificial the boundaries between the brain and its behaviour.

Author : Earl R. Mac Cormac,Maksim Stamenov
Publisher : John Benjamins Publishing
Page : 378 pages
File Size : 55,9 Mb
Release : 1996
Category : Medical
ISBN : 9781556191879

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Fractals of Brain, Fractals of Mind by Earl R. Mac Cormac,Maksim Stamenov Pdf

This collective volume is the first to discuss systematically what are the possibilities to model different aspects of brain and mind functioning with the formal means of fractal geometry and deterministic chaos. At stake here is not an approximation to the way of actual performance, but the possibility of brain and mind to implement nonlinear dynamic patterns in their functioning. The contributions discuss the following topics (among others): the edge-of-chaos dynamics in recursively organized neural systems and in intersensory interaction, the fractal timing of the neural functioning on different scales of brain networking, aspects of fractal neurodynamics and quantum chaos in novel biophysics, the fractal maximum-power evolution of brain and mind, the chaotic dynamics in the development of consciousness, etc. It is suggested that the margins of our capacity for phenomenal experience, are fractal-limit phenomena . Here the possibilities to prove the plausibility of fractal modeling with appropriate experimentation and rational reconstruction are also discussed. A conjecture is made that the brain vs. mind differentiation becomes possible, most probably, only with the imposition of appropriate symmetry groups implementing a flowing interface of features of local vs. global brain dynamics. (Series B)

Author : Dennis W. Duke,Walter S. Pritchard
Publisher : World Scientific Publishing Company Incorporated
Page : 256 pages
File Size : 51,5 Mb
Release : 1991-01-01
Category : Brain
ISBN : 9810207018

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Proceedings of the Conference on Measuring Chaos in the Human Brain, April 3-5, 1991, at the Supercomputer Computations Research Institute, Florida State University, Tallahassee, FL by Dennis W. Duke,Walter S. Pritchard Pdf

Author : Kunihiko Kaneko,Ichiro Tsuda
Publisher : Springer Science & Business Media
Page : 284 pages
File Size : 40,8 Mb
Release : 2011-06-28
Category : Mathematics
ISBN : 9783642568619

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Complex Systems: Chaos and Beyond by Kunihiko Kaneko,Ichiro Tsuda Pdf

This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.

Author : John Nicolis
Publisher : World Scientific
Page : 306 pages
File Size : 49,5 Mb
Release : 1991
Category : Computers
ISBN : 981023662X

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Chaos and Information Processing by John Nicolis Pdf

This book is the first attempt to give a chaotic dynamics interpretation of processes having to do with category formation and pattern recognition by systems possessing simple hardware e.g. few degrees of freedom. It is multidisciplinary in its approach and would be useful to readers from various fields.