Stochastic Methods In Neuroscience

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Stochastic Methods in Neuroscience

Author : Carlo Laing
Publisher : Oxford University Press
ISBN 13 : 0199235074
Total Pages : 399 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Stochastic Methods in Neuroscience by : Carlo Laing

Download or read book Stochastic Methods in Neuroscience written by Carlo Laing and published by Oxford University Press. This book was released on 2010 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Great interest is now being shown in computational and mathematical neuroscience, fuelled in part by the rise in computing power, the ability to record large amounts of neurophysiological data, and advances in stochastic analysis. These techniques are leading to biophysically more realistic models. It has also become clear that both neuroscientists and mathematicians profit from collaborations in this exciting research area.Graduates and researchers in computational neuroscience and stochastic systems, and neuroscientists seeking to learn more about recent advances in the modelling and analysis of noisy neural systems, will benefit from this comprehensive overview. The series of self-contained chapters, each written by experts in their field, covers key topics such as: Markov chain models for ion channel release; stochastically forced single neurons and populations of neurons; statistical methods for parameterestimation; and the numerical approximation of these stochastic models.Each chapter gives an overview of a particular topic, including its history, important results in the area, and future challenges, and the text comes complete with a jargon-busting index of acronyms to allow readers to familiarize themselves with the language used.

Stochastic Processes in the Neurosciences

Author : Henry C. Tuckwell
Publisher : SIAM
ISBN 13 : 9781611970159
Total Pages : 134 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Stochastic Processes in the Neurosciences by : Henry C. Tuckwell

Download or read book Stochastic Processes in the Neurosciences written by Henry C. Tuckwell and published by SIAM. This book was released on 1989-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is centered on quantitative analysis of nerve-cell behavior. The work is foundational, with many higher order problems still remaining, especially in connection with neural networks. Thoroughly addressed topics include stochastic problems in neurobiology, and the treatment of the theory of related Markov processes.

Stochastic Neuron Models

Author : Priscilla E. Greenwood
Publisher : Springer
ISBN 13 : 3319269119
Total Pages : 82 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Stochastic Neuron Models by : Priscilla E. Greenwood

Download or read book Stochastic Neuron Models written by Priscilla E. Greenwood and published by Springer. This book was released on 2016-02-02 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes a large number of open problems in the theory of stochastic neural systems, with the aim of enticing probabilists to work on them. This includes problems arising from stochastic models of individual neurons as well as those arising from stochastic models of the activities of small and large networks of interconnected neurons. The necessary neuroscience background to these problems is outlined within the text, so readers can grasp the context in which they arise. This book will be useful for graduate students and instructors providing material and references for applying probability to stochastic neuron modeling. Methods and results are presented, but the emphasis is on questions where additional stochastic analysis may contribute neuroscience insight. An extensive bibliography is included. Dr. Priscilla E. Greenwood is a Professor Emerita in the Department of Mathematics at the University of British Columbia. Dr. Lawrence M. Ward is a Professor in the Department of Psychology and the Brain Research Centre at the University of British Columbia.

Stochastic Biomathematical Models

Author : Mostafa Bachar
Publisher : Springer
ISBN 13 : 3642321577
Total Pages : 216 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Stochastic Biomathematical Models by : Mostafa Bachar

Download or read book Stochastic Biomathematical Models written by Mostafa Bachar and published by Springer. This book was released on 2012-10-19 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic biomathematical models are becoming increasingly important as new light is shed on the role of noise in living systems. In certain biological systems, stochastic effects may even enhance a signal, thus providing a biological motivation for the noise observed in living systems. Recent advances in stochastic analysis and increasing computing power facilitate the analysis of more biophysically realistic models, and this book provides researchers in computational neuroscience and stochastic systems with an overview of recent developments. Key concepts are developed in chapters written by experts in their respective fields. Topics include: one-dimensional homogeneous diffusions and their boundary behavior, large deviation theory and its application in stochastic neurobiological models, a review of mathematical methods for stochastic neuronal integrate-and-fire models, stochastic partial differential equation models in neurobiology, and stochastic modeling of spreading cortical depression.

Phase Resetting in Medicine and Biology

Author : Peter A. Tass
Publisher : Springer
ISBN 13 : 9783540656975
Total Pages : 0 pages
Book Rating : 4.6/5 (569 download)

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Book Synopsis Phase Resetting in Medicine and Biology by : Peter A. Tass

Download or read book Phase Resetting in Medicine and Biology written by Peter A. Tass and published by Springer. This book was released on 1999-05-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new theoretical approach to phase resetting and stimulation-induced synchronization and desynchronization in a population of oscillators. The author uses stochastic methods from statistical mechanics and applies his theory to models of practical importance in physiology and neuroscience. The book is accessible to readers not familiar with the mathematical formalism. The author also proposes improvements to stimulation techniques as used by neurologists and neurosurgeons in the context of Parkinson's disease and MEG/EEG data analysis.

Mathematics for Neuroscientists

Author : Fabrizio Gabbiani
Publisher : Academic Press
ISBN 13 : 0128019069
Total Pages : 630 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Mathematics for Neuroscientists by : Fabrizio Gabbiani

Download or read book Mathematics for Neuroscientists written by Fabrizio Gabbiani and published by Academic Press. This book was released on 2017-02-04 with total page 630 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Neuroscientists, Second Edition, presents a comprehensive introduction to mathematical and computational methods used in neuroscience to describe and model neural components of the brain from ion channels to single neurons, neural networks and their relation to behavior. The book contains more than 200 figures generated using Matlab code available to the student and scholar. Mathematical concepts are introduced hand in hand with neuroscience, emphasizing the connection between experimental results and theory. Fully revised material and corrected text Additional chapters on extracellular potentials, motion detection and neurovascular coupling Revised selection of exercises with solutions More than 200 Matlab scripts reproducing the figures as well as a selection of equivalent Python scripts

The Noisy Brain

Author : Edmund T. Rolls
Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis The Noisy Brain by : Edmund T. Rolls

Download or read book The Noisy Brain written by Edmund T. Rolls and published by . This book was released on 2010-01-28 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The activity of neurons in the brain is noisy in that the neuronal firing times are random for a given mean rate. The Noisy Brain shows that this is fundamental to understanding many aspects of brain function, including probabilistic decision-making, perception, memory recall, short-term memory, attention, and even creativity. There are many applications too of this understanding, to for example memory and attentional disorders, aging, schizophrenia, and obsessive-compulsive disorder.

Neuronal Stochastic Variability: Influences on Spiking Dynamics and Network Activity

Author : Mark D. McDonnell
Publisher : Frontiers Media SA
ISBN 13 : 2889198847
Total Pages : 158 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Neuronal Stochastic Variability: Influences on Spiking Dynamics and Network Activity by : Mark D. McDonnell

Download or read book Neuronal Stochastic Variability: Influences on Spiking Dynamics and Network Activity written by Mark D. McDonnell and published by Frontiers Media SA. This book was released on 2016-07-18 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic fluctuations are intrinsic to and unavoidable at every stage of neural dynamics. For example, ion channels undergo random conformational changes, neurotransmitter release at synapses is discrete and probabilistic, and neural networks are embedded in spontaneous background activity. The mathematical and computational tool sets contributing to our understanding of stochastic neural dynamics have expanded rapidly in recent years. New theories have emerged detailing the dynamics and computational power of the balanced state in recurrent networks. At the cellular level, novel stochastic extensions to the classical Hodgkin-Huxley model have enlarged our understanding of neuronal dynamics and action potential initiation. Analytical methods have been developed that allow for the calculation of the firing statistics of simplified phenomenological integrate-and-fire models, taking into account adaptation currents or temporal correlations of the noise. This Research Topic is focused on identified physiological/internal noise sources and mechanisms. By "internal", we mean variability that is generated by intrinsic biophysical processes. This includes noise at a range of scales, from ion channels to synapses to neurons to networks. The contributions in this Research Topic introduce innovative mathematical analysis and/or computational methods that relate to empirical measures of neural activity and illuminate the functional role of intrinsic noise in the brain.

Scaled Stochastic Methods for Training Neural Networks

Author : Michael A. Lehr
Publisher :
ISBN 13 :
Total Pages : 754 pages
Book Rating : 4.:/5 (822 download)

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Book Synopsis Scaled Stochastic Methods for Training Neural Networks by : Michael A. Lehr

Download or read book Scaled Stochastic Methods for Training Neural Networks written by Michael A. Lehr and published by . This book was released on 1996 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Computational Modelling in Neuroscience

Author : David Sterratt
Publisher : Cambridge University Press
ISBN 13 : 1108483143
Total Pages : 553 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Principles of Computational Modelling in Neuroscience by : David Sterratt

Download or read book Principles of Computational Modelling in Neuroscience written by David Sterratt and published by Cambridge University Press. This book was released on 2023-10-05 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn to use computational modelling techniques to understand the nervous system at all levels, from ion channels to networks.

Stochastic Processes in Cell Biology

Author : Paul C. Bressloff
Publisher : Springer Nature
ISBN 13 : 3030725154
Total Pages : 773 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Stochastic Processes in Cell Biology by : Paul C. Bressloff

Download or read book Stochastic Processes in Cell Biology written by Paul C. Bressloff and published by Springer Nature. This book was released on 2022-01-04 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops the theory of continuous and discrete stochastic processes within the context of cell biology. In the second edition the material has been significantly expanded, particularly within the context of nonequilibrium and self-organizing systems. Given the amount of additional material, the book has been divided into two volumes, with volume I mainly covering molecular processes and volume II focusing on cellular processes. A wide range of biological topics are covered in the new edition, including stochastic ion channels and excitable systems, molecular motors, stochastic gene networks, genetic switches and oscillators, epigenetics, normal and anomalous diffusion in complex cellular environments, stochastically-gated diffusion, active intracellular transport, signal transduction, cell sensing, bacterial chemotaxis, intracellular pattern formation, cell polarization, cell mechanics, biological polymers and membranes, nuclear structure and dynamics, biological condensates, molecular aggregation and nucleation, cellular length control, cell mitosis, cell motility, cell adhesion, cytoneme-based morphogenesis, bacterial growth, and quorum sensing. The book also provides a pedagogical introduction to the theory of stochastic and nonequilibrium processes – Fokker Planck equations, stochastic differential equations, stochastic calculus, master equations and jump Markov processes, birth-death processes, Poisson processes, first passage time problems, stochastic hybrid systems, queuing and renewal theory, narrow capture and escape, extreme statistics, search processes and stochastic resetting, exclusion processes, WKB methods, large deviation theory, path integrals, martingales and branching processes, numerical methods, linear response theory, phase separation, fluctuation-dissipation theorems, age-structured models, and statistical field theory. This text is primarily aimed at graduate students and researchers working in mathematical biology, statistical and biological physicists, and applied mathematicians interested in stochastic modeling. Applied probabilists should also find it of interest. It provides significant background material in applied mathematics and statistical physics, and introduces concepts in stochastic and nonequilibrium processes via motivating biological applications. The book is highly illustrated and contains a large number of examples and exercises that further develop the models and ideas in the body of the text. It is based on a course that the author has taught at the University of Utah for many years.

Mathematical Methods in Biology and Neurobiology

Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 1447163532
Total Pages : 233 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Methods in Biology and Neurobiology by : Jürgen Jost

Download or read book Mathematical Methods in Biology and Neurobiology written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2014-02-13 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical models can be used to meet many of the challenges and opportunities offered by modern biology. The description of biological phenomena requires a range of mathematical theories. This is the case particularly for the emerging field of systems biology. Mathematical Methods in Biology and Neurobiology introduces and develops these mathematical structures and methods in a systematic manner. It studies: • discrete structures and graph theory • stochastic processes • dynamical systems and partial differential equations • optimization and the calculus of variations. The biological applications range from molecular to evolutionary and ecological levels, for example: • cellular reaction kinetics and gene regulation • biological pattern formation and chemotaxis • the biophysics and dynamics of neurons • the coding of information in neuronal systems • phylogenetic tree reconstruction • branching processes and population genetics • optimal resource allocation • sexual recombination • the interaction of species. Written by one of the most experienced and successful authors of advanced mathematical textbooks, this book stands apart for the wide range of mathematical tools that are featured. It will be useful for graduate students and researchers in mathematics and physics that want a comprehensive overview and a working knowledge of the mathematical tools that can be applied in biology. It will also be useful for biologists with some mathematical background that want to learn more about the mathematical methods available to deal with biological structures and data.

Guide to Research Techniques in Neuroscience

Author : Matt Carter
Publisher : Academic Press
ISBN 13 : 0323915612
Total Pages : 416 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Guide to Research Techniques in Neuroscience by : Matt Carter

Download or read book Guide to Research Techniques in Neuroscience written by Matt Carter and published by Academic Press. This book was released on 2022-03-26 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern neuroscience research is inherently multidisciplinary, with a wide variety of cutting edge new techniques to explore multiple levels of investigation. This Third Edition of Guide to Research Techniques in Neuroscience provides a comprehensive overview of classical and cutting edge methods including their utility, limitations, and how data are presented in the literature. This book can be used as an introduction to neuroscience techniques for anyone new to the field or as a reference for any neuroscientist while reading papers or attending talks. Nearly 200 updated full-color illustrations to clearly convey the theory and practice of neuroscience methods Expands on techniques from previous editions and covers many new techniques including in vivo calcium imaging, fiber photometry, RNA-Seq, brain spheroids, CRISPR-Cas9 genome editing, and more Clear, straightforward explanations of each technique for anyone new to the field A broad scope of methods, from noninvasive brain imaging in human subjects, to electrophysiology in animal models, to recombinant DNA technology in test tubes, to transfection of neurons in cell culture Detailed recommendations on where to find protocols and other resources for specific techniques "Walk-through" boxes that guide readers through experiments step-by-step

Advanced Imaging Methods in Neuroscience

Author : João O. Malva
Publisher : Frontiers Media SA
ISBN 13 : 2889717259
Total Pages : 498 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Advanced Imaging Methods in Neuroscience by : João O. Malva

Download or read book Advanced Imaging Methods in Neuroscience written by João O. Malva and published by Frontiers Media SA. This book was released on 2022-01-11 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods in Neural Modeling

Author : José Mira
Publisher : Springer
ISBN 13 : 3540448683
Total Pages : 781 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computational Methods in Neural Modeling by : José Mira

Download or read book Computational Methods in Neural Modeling written by José Mira and published by Springer. This book was released on 2003-08-03 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 2686 and LNCS 2687 constitute the refereed proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks, IWANN 2003, held in MaÃ3, Menorca, Spain in June 2003.The 197 revised papers presented were carefully reviewed and selected for inclusion in the book and address the following topics: mathematical and computational methods in neural modelling, neurophysiological data analysis and modelling, structural and functional models of neurons, learning and other plasticity phenomena, complex systems dynamics, cognitive processes and artificial intelligence, methodologies for net design, bio-inspired systems and engineering, and applications in a broad variety of fields.

Introduction to Theoretical Neurobiology: Volume 2, Nonlinear and Stochastic Theories

Author : Henry C. Tuckwell
Publisher : Cambridge University Press
ISBN 13 : 9780521019323
Total Pages : 280 pages
Book Rating : 4.0/5 (193 download)

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Book Synopsis Introduction to Theoretical Neurobiology: Volume 2, Nonlinear and Stochastic Theories by : Henry C. Tuckwell

Download or read book Introduction to Theoretical Neurobiology: Volume 2, Nonlinear and Stochastic Theories written by Henry C. Tuckwell and published by Cambridge University Press. This book was released on 2005-09-08 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second part of this two-volume set contains advanced aspects of the quantitative theory of the dynamics of neurons. It begins with an introduction to the effects of reversal potentials on response to synaptic input. It then develops the theory of action potential generation based on the seminal Hodgkin-Huxley equations and gives methods for their solution in the space-clamped and nonspaceclamped cases. The remainder of the book discusses stochastic models of neural activity and ends with a statistical analysis of neuronal data with emphasis on spike trains. The mathematics is more complex in this volume than in the first volume and involves numerical methods of solution of partial differential equations and the statistical analysis of point processes.

Computational Models of Brain and Behavior

Author : Ahmed A. Moustafa
Publisher : John Wiley & Sons
ISBN 13 : 1119159075
Total Pages : 588 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Computational Models of Brain and Behavior by : Ahmed A. Moustafa

Download or read book Computational Models of Brain and Behavior written by Ahmed A. Moustafa and published by John Wiley & Sons. This book was released on 2017-09-11 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive Introduction to the world of brain and behavior computational models This book provides a broad collection of articles covering different aspects of computational modeling efforts in psychology and neuroscience. Specifically, it discusses models that span different brain regions (hippocampus, amygdala, basal ganglia, visual cortex), different species (humans, rats, fruit flies), and different modeling methods (neural network, Bayesian, reinforcement learning, data fitting, and Hodgkin-Huxley models, among others). Computational Models of Brain and Behavior is divided into four sections: (a) Models of brain disorders; (b) Neural models of behavioral processes; (c) Models of neural processes, brain regions and neurotransmitters, and (d) Neural modeling approaches. It provides in-depth coverage of models of psychiatric disorders, including depression, posttraumatic stress disorder (PTSD), schizophrenia, and dyslexia; models of neurological disorders, including Alzheimer’s disease, Parkinson’s disease, and epilepsy; early sensory and perceptual processes; models of olfaction; higher/systems level models and low-level models; Pavlovian and instrumental conditioning; linking information theory to neurobiology; and more. Covers computational approximations to intellectual disability in down syndrome Discusses computational models of pharmacological and immunological treatment in Alzheimer's disease Examines neural circuit models of serotonergic system (from microcircuits to cognition) Educates on information theory, memory, prediction, and timing in associative learning Computational Models of Brain and Behavior is written for advanced undergraduate, Master's and PhD-level students—as well as researchers involved in computational neuroscience modeling research.