Download or read book Spikes Decisions and Actions written by Hugh Reid Wilson and published by . This book was released on 1999 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nervous system of higher animals is both very complex and very nonlinear. Nervous systems are constantly making decisions between alternative actions, and switching gears among dynamical modes. There are several neural phenomena that can be modelled to great effect through the applicationof nonlinear dynamics, including: * ionic currents * action potentials * short-term memory * motor activity. This book is an exploration of the mathematical principles by which brains generate neural spikes, make decisions, store memories, and control actions. Assuming only a basic knowledge ofmathematics, and including problem sets and simulations on disk, Spikes, Decisions, and Actions is an ideal text for courses in neuronal modelling in particular, and mathematical modelling in biology generally.
Download or read book Spikes Decisions and Actions written by Hugh Reid Wilson and published by . This book was released on 1999 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nervous system of higher animals is very complex and highly nonlinear. among its many capabilities are making decisions and carrying out complex motor actions such as swimming. Nonlinear dynamical modelling can be used to understand and explain neural phenomena at many different levels, including - ion-currents and action potentials; short - and long - term memory; visual hallucinations; neural synchronization; motor control This book explores the mathematical principles by which brains generate spikes, make decisions, store memories, and control actions. It assumes a basic knowledge of calculus and develops the dynamical foundations of neuroscience using problem sets and computer simulations on the accompanying PC and Mac compatible MatLab disk.
Download or read book Spikes written by Fred Rieke and published by MIT Press (MA). This book was released on 1997 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for neurobiologists with an interest in mathematical analysis of neural data as well as the growing number of physicists and mathematicians interested in information processing by "real" nervous systems, Spikes provides a self-contained review of relevant concepts in information theory and statistical decision theory.
Download or read book Brain Dynamics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.
Download or read book Brain Dynamics written by H. Haken and published by Springer Science & Business Media. This book was released on 2002 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. He devotes the main part to the synchronization problem. He presents neural net models more realistic than the conventional ones by taking into account the detailed dynamics of axons, synapses and dendrites, allowing rather arbitrary couplings between neurons. He gives a complete stabile analysis that goes significantly beyond what has been known so far. He also derives pulse-averaged equations including those of the Wilson--Cowan and the Jirsa-Haken-Nunez types and discusses the formation of spatio-temporal neuronal activity pattems. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.
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.
Download or read book Fechner s Legacy in Psychology written by Joshua A. Solomon and published by BRILL. This book was released on 2011-02-03 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compendium of modern psychophysics, in the spirit of the discipline's inventor, Gustav Fechner.
Download or read book Cerebral Cortex written by Edmund T. Rolls and published by Oxford University Press. This book was released on 2018-01-26 with total page 1556 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide insight into the principles of operation of the cerebral cortex. These principles are key to understanding how we, as humans, function. There have been few previous attempts to set out some of the important principles of operation of the cortex, and this book is pioneering. The book goes beyond separate connectional neuroanatomical, neurophysiological, neuroimaging, neuropsychiatric, and computational neuroscience approaches, by combining evidence from all these areas to formulate hypotheses about how and what the cerebral cortex computes. As clear hypotheses are needed in this most important area of 21st century science, how our brains work, I have formulated a set of hypotheses about the principles of cortical operation to guide thinking and future research. The book focusses on the principles of operation of the cerebral cortex, because at this time it is possible to propose and describe many principles, and many are likely to stand the test of time, and provide a foundation for further developments, even if some need to be changed. In this context, I have not attempted to produce an overall theory of operation of the cerebral cortex, because at this stage of our understanding, such a theory would be incorrect or incomplete. However, many of the principles described will provide the foundations for more complete theories of the operation of the cerebral cortex. This book is intended to provide a foundation for future understanding, and it is hoped that future work will develop and add to these principles of operation of the cerebral cortex. The book includes Appendices on the operation of many of the neuronal networks described in the book, together with simulation software written in Matlab.
Download or read book Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2004-01-12 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields as diverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived.
Download or read book Cognitive Science written by Harald Maurer and published by CRC Press. This book was released on 2021-07-08 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mind and Brain are usually considered as one and the same nonlinear, complex dynamical system, in which information processing can be described with vector and tensor transformations and with attractors in multidimensional state spaces. Thus, an internal neurocognitive representation concept consists of a dynamical process which filters out statistical prototypes from the sensorial information in terms of coherent and adaptive n-dimensional vector fields. These prototypes serve as a basis for dynamic, probabilistic predictions or probabilistic hypotheses on prospective new data (see the recently introduced approach of "predictive coding" in neurophilosophy). Furthermore, the phenomenon of sensory and language cognition would thus be based on a multitude of self-regulatory complex dynamics of synchronous self-organization mechanisms, in other words, an emergent "flux equilibrium process" ("steady state") of the total collective and coherent neural activity resulting from the oscillatory actions of neuronal assemblies. In perception it is shown how sensory object informations, like the object color or the object form, can be dynamically related together or can be integrated to a neurally based representation of this perceptual object by means of a synchronization mechanism ("feature binding"). In language processing it is shown how semantic concepts and syntactic roles can be dynamically related together or can be integrated to neurally based systematic and compositional connectionist representations by means of a synchronization mechanism ("variable binding") solving the Fodor-Pylyshyn-Challenge. Since the systemtheoretical connectionism has succeeded in modeling the sensory objects in perception as well as systematic and compositional representations in language processing with this vector- and oscillation-based representation format, a new, convincing theory of neurocognition has been developed, which bridges the neuronal and the cognitive analysis level. The book describes how elementary neuronal information is combined in perception and language, so it becomes clear how the brain processes this information to enable basic cognitive performance of the humans.
Download or read book Neuroscience written by Alwyn Scott and published by Springer Science & Business Media. This book was released on 2007-12-14 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of interest to anyone who wishes to know what role mathematics can play in attempting to comprehend the dynamics of the human brain. It also aims to serve as a general introduction to neuromathematics. The book gives the reader a qualitative understanding and working knowledge of useful mathematical applications to the field of neuroscience. The book is readable by those who have little knowledge of mathematics for neuroscience but are committed to begin acquiring such knowledge.
Download or read book Creating Brain Like Intelligence written by Bernhard Sendhoff and published by Springer Science & Business Media. This book was released on 2009-04-02 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: TheInternationalSymposiumCreatingBrain-LikeIntelligencewasheldinFeb- ary 2007 in Germany. The symposium brought together notable scientists from di?erent backgrounds and with di?erent expertise related to the emerging ?eld of brain-like intelligence. Our understanding of the principles behind brain-like intelligence is still limited. After all, we have had to acknowledge that after tremendous advances in areas like neural networks, computational and arti?cial intelligence (a ?eld that had just celebrated its 50 year anniversary) and fuzzy systems, we are still not able to mimic even the lower-level sensory capabilities of humans or animals. We asked what the biggest obstacles are and how we could gain ground toward a scienti?c understanding of the autonomy, ?exibility, and robustness of intelligent biological systems as they strive to survive. New principles are usually found at the interfaces between existing disciplines, and traditional boundaries between disciplines have to be broken down to see how complex systems become simple and how the puzzle can be assembled. During the symposium we could identify some recurring themes that p- vaded many of the talks and discussions. The triad of structure, dynamics and environment,theroleoftheenvironmentasanactivepartnerinshapingsystems, adaptivity on all scales (learning, development, evolution) and the amalga- tion of an internal and external world in brain-like intelligence rate high among them. Each of us is rooted in a certain community which we have to serve with the results of our research. Looking beyond our ?elds and working at the interfaces between established areas of research requires e?ort and an active process.
Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematics needed to model, analyze, and design feedback systems. It is an ideal textbook for undergraduate and graduate students, and is indispensable for researchers seeking a self-contained reference on control theory. Unlike most books on the subject, Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science.
Download or read book Information Processing and Security Systems written by Khalid Saeed and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information Processing and Security Systems is a collection of forty papers that were originally presented at an international multi-conference on Advanced Computer Systems (ACS) and Computer Information Systems and Industrial Management Applications (CISIM) held in Elk, Poland. This volume describes the latest developments in advanced computer systems and their applications within artificial intelligence, biometrics and information technology security. The volume also includes contributions on computational methods, algorithms and applications, computational science, education and industrial management applications.
Download or read book Analysis and Design of Nonlinear Control Systems written by Alessandro Astolfi and published by Springer Science & Business Media. This book was released on 2007-11-13 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Prof. Alberto Isidori on the occasion of his 65th birthday. Prof. Isidori’s proli?c, pioneering and high-impact research activity has spanned over 35 years. Throughout his career, Prof. Isidori has developed ground-breaking results, has initiated researchdirections and has contributed towardsthe foundationofnonlinear controltheory.In addition,his dedication to explain intricate issues and di?cult concepts in a simple and rigorous way and to motivate young researchers has been instrumental to the intellectual growth of the nonlinear control community worldwide. The volume collects 27 contributions written by a total of 52 researchers. The principal author of each contribution has been selected among the - searchers who have worked with Prof. Isidori, have in?uenced his research activity, or have had the privilege and honour of being his PhD students. The contributions address a signi?cant number of control topics, including th- retical issues, advanced applications, emerging control directions and tutorial works. The diversity of the areas covered, the number of contributors and their international standing provide evidence of the impact of Prof. Isidori in the control and systems theory communities. The book has been divided into six parts: System Analysis, Optimization Methods, Feedback Design, Regulation, Geometric Methods and Asymptotic Analysis, re?ecting important control areas which have been strongly in- enced and, in some cases, pioneered by Prof. Isidori.
Download or read book Binocular Rivalry written by David Alais and published by MIT Press. This book was released on 2005 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent work on perceptual ambiguity and its implications for the correlation between neural events and perceptual experience. Researchers today in neuroscience and cognitive psychology increasingly turn their attention to binocular rivalry and other forms of perceptual ambiguity or bistability. The study of fluctuations in visual perception in the face of unchanging visual input offers a means for understanding the link between neural events and visual events, including visual awareness. Some neuroscientists believe that binocular rivalry reveals a fundamental aspect of human cognition and provides a way to isolate and study brain areas involved in attention and selection. The eighteen essays collected in Binocular Rivalry present the most recent theoretical and empirical work on this key topic by leading researchers in the field. After the opening chapter's overview of the major characteristics of binocular rivalry in their historical contexts, the contributors consider topics ranging from the basic phenomenon of perceptual ambiguity to brain models and neural networks. The essays illustrate the potential power of the study of perceptual ambiguity as a tool for learning about the neural concomitants of visual awareness, or, as they have been called, the "neural correlates of consciousness."
Download or read book Mathematics as a Laboratory Tool written by John Milton and published by Springer Nature. This book was released on 2021-08-11 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of Mathematics as a Laboratory Tool reflects the growing impact that computational science is having on the career choices made by undergraduate science and engineering students. The focus is on dynamics and the effects of time delays and stochastic perturbations (“noise”) on the regulation provided by feedback control systems. The concepts are illustrated with applications to gene regulatory networks, motor control, neuroscience and population biology. The presentation in the first edition has been extended to include discussions of neuronal excitability and bursting, multistability, microchaos, Bayesian inference, second-order delay differential equations, and the semi-discretization method for the numerical integration of delay differential equations. Every effort has been made to ensure that the material is accessible to those with a background in calculus. The text provides advanced mathematical concepts such as the Laplace and Fourier integral transforms in the form of Tools. Bayesian inference is introduced using a number of detective-type scenarios including the Monty Hall problem.
