Download or read book Brain Signals written by Risto J. Ilmoniemi and published by MIT Press. This book was released on 2019-05-28 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of the generation and analysis of brain-generated electromagnetic fields. In Brain Signals, Risto Ilmoniemi and Jukka Sarvas present the basic physical and mathematical principles of magnetoencephalography (MEG) and electroencephalography (EEG), describing what kind of information is available in the neuroelectromagnetic field and how the measured MEG and EEG signals can be analyzed. Unlike most previous works on these topics, which have been collections of writings by different authors using different conventions, this book presents the material in a unified manner, providing the reader with a thorough understanding of basic principles and a firm basis for analyzing data generated by MEG and EEG. The book first provides a brief introduction to brain states and the early history of EEG and MEG, describes the generation of electromagnetic fields by neuronal activity, and discusses the electromagnetic forward problem. The authors then turn to EEG and MEG analysis, offering a review of linear and matrix algebra and basic statistics needed for analysis of the data, and presenting several analysis methods: dipole fitting; the minimum norm estimate (MNE); beamforming; the multiple signal classification algorithm (MUSIC), including RAP-MUSIC with the RAP dilemma and TRAP-MUSIC, which removes the RAP dilemma; independent component analysis (ICA); and blind source separation (BSS) with joint diagonalization.
Download or read book Mathematical Foundation of Electroencephalography written by Michael Doschoris and published by . This book was released on 2017 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Electroencephalography (EEG) has evolved over the years to be one of the primary diagnostic technologies providing information concerning the dynamics of spontaneous and stimulated electrical brain activity. The core question of EEG is to acquire the precise location and strength of the sources inside the human brain by knowledge of an electrical potential measured on the scalp. But in what way is the source recovered? Leaving aside the biological mechanisms on the cellular level responsible for the recorded EEG signals, we pay attention to the mathematical aspects of the narrative. Our goal is to provide a brief and concise introduction of the mathematical terminology associated with the modality of EEG. We start from the very beginning, presenting step by step the mathematical formulation behind EEG in a simple and clear manner, keeping the mathematical notation to a minimum. Whilst we serve only the key relations for the described problems, we focus specifically on the limitations of each modelling approach. In this fashion, the reader can appreciate the beauty of the formulas presented and discover every single piece of information encoded within these formulas.
Download or read book A Review of EEG Analysis Techniques and Their Mathematical Foundations written by Maxwell Vernon Rainforth and published by . This book was released on 1989 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Physics and Mathematics of Electroencephalogram written by Dezhong Yao and published by CRC Press. This book was released on 2024-06-28 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a systematic introduction to the knowledge of mathematics and physics of electroencephalogram (EEG) and discusses an in-depth application of EEG and the development of new methods and technologies for mining and analyzing EEG. The Physics and Mathematics of Electroencephalogram offers a systematic overview of the technology for brain function and disease. It covers six parts: background knowledge of EEG, EEG forward problems, high-resolution EEG imaging, EEG inverse problems, EEG reference electrode, and EEG cloud platform. The author reviews the critical technologies in brain function and disease, such as EEG sourcing, EEG imaging, and EEG reference electrode standardization technique. The book’s aim is to clarify the mechanism of EEG from the perspective of physics, mathematics, and engineering science to help multidisciplinary readers better understand and use EEG information more effectively. This book can be used as reference for researchers in the fields of neuroengineering, cognitive neuroscience, neurology, psychiatry, applied mathematics, and brain-like intelligence.
Download or read book Electroencephalography and Magnetoencephalography written by George Dassios and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electroencephalography and magnetoencephalography are the two most efficient techniques to study the functional brain. This book completely aswers the fundamental mathematical question of uniqueness of the representations obtained using these techniques, and also covers many other concrete results for special geometric models of the brain, presenting the research of the authors and their groups in the last two decades.
Download or read book Electroencephalography written by Phakkharawat Sittiprapaporn and published by BoD – Books on Demand. This book was released on 2017-11-29 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume Electroencephalography is a collection of reviewed and relevant research chapters, offering a comprehensive overview of recent developments in the field of medicine and health sciences. The book comprises single chapters authored by various researchers and edited by an expert active in the electrophysiological monitoring method research area. Each chapter is complete in itself but united under a common research study topic. This publication aims at providing a thorough overview of the latest research efforts by international authors on electrophysiological monitoring method and opens new possible research paths for further novel developments.
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.
Download or read book Multivariate Statistical Analysis in Neuroscience written by Giovanni Cugliari and published by . This book was released on 2015-06-12 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: Research Paper from the year 2015 in the subject Medicine - Other, grade: II Level Master, University of Pavia (Unit of Medical and Genomic Statistics), course: Medical and Genomic Statistics, language: English, abstract: Electroencephalography, commonly called 'EEG', estimates through the application of electrodes, the electrical activity of the brain (which is the sum of the electrical activity of each neuron). In recent years, with the goal of making more reliable the EEG, many researchers have turned their interest in the development of tools, methods and software. This thesis describes some best procedures for the experimental design, data visualization and descriptive or inferential statistical analysis. The application of statistical models to single or multiple subjects study-design are also described, including parametric and non-parametric approaches. Methods for processing multivariate data (PCA, ICA, clustering) were described. Re-sampling methods (bootstrap) using many randomly software-generated samples were also described. The aim of this work is to provide, with statistical concepts and examples, information on the qualitative and quantitative approaches related to the electroencephalographic signals. The work consists into three parts: INTRODUTION TO ELECTROENCEPHALOGRAPHY (GENERAL CHARACTERISTICS); DATA MINING AND STATISTICAL ANALYSIS; EXPERIMENTAL STUDY DESIGNS. The six works included in the section called "EXPERIMENTAL STUDY DESIGNS" analyze EEG alterations in the protocols: Electrocortical activity in dancers and non-dancers listening to different music genre and during imaginative dance motor activity; Electrocortical activity during monosynaptic reflex in athletes; Monitoring of electrocortical activity for evaluation of seasickness; Electrocortical activity in different body positions; Electrocortical activity in athletes and non-athletes during body balance tasks; Electrocortical responses in volunteers with and without specific experience w
Download or read book Mathematical Analysis of the Electrical Activity of the Brain written by Vsesoi͡uznoe fiziologicheskoe obshchestvo imeni I.P. Pavlova and published by Cambridge, Mass. : Harvard University Press. This book was released on 1968 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical analysis of electroencephalographic data provides valuable information about the functional state of the brain, enables improved understanding of complex physiological phenomena, and offers the possibility of facilitating the diagnosis of brain disease. This book is a translation by Dr. John S. Barlow of the proceedings of a symposium, held during the Tenth Congress of the All-Union Physiological Society in the USSR in 1964, on the analysis of experimental and clinical electroencephalographic data by means of mathematical and electronic computing techniques.
Download or read book EEG Signal Processing and Feature Extraction written by Li Hu and published by Springer Nature. This book was released on 2019-10-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the conceptual and mathematical basis and the implementation of both electroencephalogram (EEG) and EEG signal processing in a comprehensive, simple, and easy-to-understand manner. EEG records the electrical activity generated by the firing of neurons within human brain at the scalp. They are widely used in clinical neuroscience, psychology, and neural engineering, and a series of EEG signal-processing techniques have been developed. Intended for cognitive neuroscientists, psychologists and other interested readers, the book discusses a range of current mainstream EEG signal-processing and feature-extraction techniques in depth, and includes chapters on the principles and implementation strategies.
Download or read book Quantitative EEG Analysis Methods and Clinical Applications written by Shanbao Tong and published by Artech House. This book was released on 2009 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative volume provides an overview of basic and advanced techniques used in quantitative EEG (qEEG) analysis. The book provides a wide range of mathematical tools used in qEEG, from single channel discriptors to the interactions among multi-channel EEG analysis. Moreover, you find coverage of the latest and most popular application in the field, including mental and neurological disease detection/monitoring, physiological and cognitive phenomena research, and fMRI.
Download or read book EEG MEG Source Reconstruction written by Thomas R. Knösche and published by Springer Nature. This book was released on 2022-10-01 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a comprehensive and didactic introduction from the basics to the current state of the art in the field of EEG/MEG source reconstruction. Reconstructing the generators or sources of electroencephalographic and magnetoencephalographic (EEG/MEG) signals is an important problem in basic neuroscience as well as clinical research and practice. Over the past few decades, an entire theory, together with a whole collection of algorithms and techniques, has developed. In this textbook, the authors provide a unified perspective on a broad range of EEG/MEG source reconstruction methods, with particular emphasis on their respective assumptions about sources, data, head tissues, and sensor properties. An introductory chapter highlights the concept of brain imaging and the particular importance of the neuroelectromagnetic inverse problem. This is followed by an in-depth discussion of neural information processing and brain signal generation and an introduction to the practice of data acquisition. Next, the relevant mathematical models for the sources of EEG and MEG are discussed in detail, followed by the neuroelectromagnetic forward problem, that is, the prediction of EEG or MEG signals from those source models, using biophysical descriptions of the head tissues and the sensors. The main part of this textbook is dedicated to the source reconstruction methods. The authors present a theoretical framework of the neuroelectromagnetic inverse problem, centered on Bayes’ theorem, which then serves as the basis for a detailed description of a large variety of techniques, including dipole fit methods, distributed source reconstruction, spatial filters, and dynamic source reconstruction methods. The final two chapters address the important topic of assessment, including verification and validation of source reconstruction methods, and their actual application to real-world scientific and clinical questions. This book is intended as basic reading for anybody who is engaged with EEG/MEG source reconstruction, be it as a method developer or as a user, including advanced undergraduate students, PhD students, and postdocs in neuroscience, biomedical engineering, and related fields.
Download or read book Mathematical Approaches to Brain Functioning Diagnostics written by Ivan Dvorak (Ed) and published by Manchester University Press. This book was released on 1991 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Analysis of the Electrical Activity of the Brain written by and published by . This book was released on 1968 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Physics and Mathematics of Electroencephalogram written by Dezhong Yao and published by CRC Press. This book was released on 2024-06-28 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on a systematic introduction to the knowledge of mathematics and physics of electroencephalogram (EEG) and discusses an in-depth application of EEG and the development of new methods and technologies for mining and analyzing EEG. The Physics and Mathematics of Electroencephalogram offers a systematic overview of the technology for brain function and disease. It covers six parts: background knowledge of EEG, EEG forward problems, high-resolution EEG imaging, EEG inverse problems, EEG reference electrode, and EEG cloud platform. The author reviews the critical technologies in brain function and disease, such as EEG sourcing, EEG imaging, and EEG reference electrode standardization technique. The book’s aim is to clarify the mechanism of EEG from the perspective of physics, mathematics, and engineering science to help multidisciplinary readers better understand and use EEG information more effectively. This book can be used as reference for researchers in the fields of neuroengineering, cognitive neuroscience, neurology, psychiatry, applied mathematics, and brain-like intelligence.
Download or read book The Theoretical Interpretation of Electroencephalography written by Gerald Ulrich and published by Bmed Press LLC. This book was released on 2013-05 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gerald Ulrich, MD provides an authoritative, advanced guide to theory-based EEG interpretation that is grounded in the Berlin Psychiatry School Model of EEG-Vigilance. The Berlin model is not well known in the United States. Instead, EEG is dominated by data-driven Q-EEG where one looks at mathematical correlations without a coherent theory to guide interpretation. This is the first known published book on this topic. Dr. Ulrich's aim is to help the reader increase self-confidence in EEG assessment in clinical practice or research and to facilitate more reliable and valid EEG interpretations. He provides a skilled synthesis of decades of EEG research alongside his expert insights from his 40 years of clinical experience and research with EEG. The reader will learn how to visually discern spatio-temporal patterns with 132 high-quality examples of EEG images - the majority within the course of spontaneous resting EEGs. Additionally, the EEG-pathology of psychiatric syndromes and the impact of common psychotropic medications on the EEG are described in detail. Another important contribution is the identification of a common type of biological artifact which has gone unnoticed in research that is likely responsible for the unsatisfactory test-retest reliability and questionable validity of the EEG; the author proposes a simple solution to this vexing artifact problem. In the second part of the book, the reader is introduced to novel QEEG procedures, especially related to EEG dynamics, which can be regarded as meaningful within the theory of EEG-vigilance.
Download or read book Nonlinear Analysis Differential Equations and Applications written by Themistocles M. Rassias and published by Springer Nature. This book was released on 2021-08-20 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of functional equations, edge degenerate pseudo-hyperbolic equations, Kirchhoff wave equation, BMO norms of operators on differential forms, equilibrium points of the perturbed R3BP, complex zeros of solutions to second order differential equations, a higher-order Ginzburg–Landau-type equation, multi-symplectic numerical schemes for differential equations, the Erdős-Rényi network model, strongly m-convex functions, higher order strongly generalized convex functions, factorization and solution of second order differential equations, generalized topologically open sets in relator spaces, graphical mean curvature flow, critical point theory in infinite dimensional spaces using the Leray-Schauder index, non-radial solutions of a supercritical equation in expanding domains, the semi-discrete method for the approximation of the solution of stochastic differential equations, homotopic metric-interval L-contractions in gauge spaces, Rhoades contractions theory, network centrality measures, the Radon transform in three space dimensions via plane integration and applications in positron emission tomography boundary perturbations on medical monitoring and imaging techniques, the KdV-B equation and biomedical applications.
