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Fundamentals Of Meg And Eeg

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Fundamentals of Meg and Eeg

Fundamentals of Meg and Eeg Book
Author : Matti Hamalainen,Risto Ilmoniemi,Lauri Parkkonen
Publisher : Academic Press
Release : 2020-03-15
ISBN : 9780128164563
Language : En, Es, Fr & De

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Book Description :

Fundamentals of MEG and EEG: Biophysics, Instrumentation, and Data Analysis gives graduate students and researchers a technical understanding of the fundamentals of MEG and EEG that will enable them to: Gain expertise in the state-of-the-art of MEG and EEG Understand the generation, measurement, and modeling of electromagnetic brain signals Understand the relationship of MEG/EEG with other brain imaging methods Design MEG / EEG measurement systems and evaluate their performance Develop and evaluate data analysis methods A well-integrated and systematic presentation of the principles and their application, using a common notation Authored by the leading people in the field On-line examples implemented in (MNE-) Python

MEG

MEG Book
Author : Peter Hansen,Morten Kringelbach,Riitta Salmelin
Publisher : Oxford University Press
Release : 2010-06-21
ISBN : 0195307232
Language : En, Es, Fr & De

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Book Description :

This is the first comprehensive introduction to MEG. Bringing together the leading researchers to provide the basic tools for planning and executing MEG experiments, as well as analyzing and interpreting the resulting data, it is a complete basic reference source for those interested in exploring or already using MEG.

MEG EEG Primer

MEG EEG Primer Book
Author : Riitta Hari,Aina Puce
Publisher : Oxford University Press
Release : 2017
ISBN : 0190497777
Language : En, Es, Fr & De

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Book Description :

This work provides newcomers and more experienced researchers with the very basics of magnetoencephalography (MEG) and electroencephalography (EEG)-two noninvasive methods that can inform about the neurodynamics of the human brain on a millisecond scale. These two closely related methods are addressed side by side, starting from their physical and physiological bases and then advancing to methods of data acquisition, analysis, visualization, and interpretation

Magnetoencephalography

Magnetoencephalography Book
Author : Selma Supek,Cheryl J. Aine
Publisher : Springer
Release : 2014-08-07
ISBN : 3642330452
Language : En, Es, Fr & De

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Book Description :

Magnetoencephalography (MEG) is an invaluable functional brain imaging technique that provides direct, real-time monitoring of neuronal activity necessary for gaining insight into dynamic cortical networks. Our intentions with this book are to cover the richness and transdisciplinary nature of the MEG field, make it more accessible to newcomers and experienced researchers and to stimulate growth in the MEG area. The book presents a comprehensive overview of MEG basics and the latest developments in methodological, empirical and clinical research, directed toward master and doctoral students, as well as researchers. There are three levels of contributions: 1) tutorials on instrumentation, measurements, modeling, and experimental design; 2) topical reviews providing extensive coverage of relevant research topics; and 3) short contributions on open, challenging issues, future developments and novel applications. The topics range from neuromagnetic measurements, signal processing and source localization techniques to dynamic functional networks underlying perception and cognition in both health and disease. Topical reviews cover, among others: development on SQUID-based and novel sensors, multi-modal integration (low field MRI and MEG; EEG and fMRI), Bayesian approaches to multi-modal integration, direct neuronal imaging, novel noise reduction methods, source-space functional analysis, decoding of brain states, dynamic brain connectivity, sensory-motor integration, MEG studies on perception and cognition, thalamocortical oscillations, fetal and neonatal MEG, pediatric MEG studies, cognitive development, clinical applications of MEG in epilepsy, pre-surgical mapping, stroke, schizophrenia, stuttering, traumatic brain injury, post-traumatic stress disorder, depression, autism, aging and neurodegeneration, MEG applications in cognitive neuropharmacology and an overview of the major open-source analysis tools.

MEG EEG Primer

MEG EEG Primer Book
Author : Riitta Hari,Aina Puce
Publisher : Oxford University Press
Release : 2017-03-20
ISBN : 0190497785
Language : En, Es, Fr & De

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Book Description :

Magnetoencephalography (MEG) and electroencephalography (EEG) provide complementary views to the neurodynamics of healthy and diseased human brains. Both methods are totally noninvasive and can track with millisecond temporal resolution spontaneous brain activity, evoked responses to various sensory stimuli, as well as signals associated with the performance of motor, cognitive and affective tasks. MEG records the magnetic fields, and EEG the potentials associated with the same neuronal currents, which however are differentially weighted due to the physical and physiological differences between the methods. MEG is rather selective to activity in the walls of cortical folds, whereas EEG senses currents from the cortex (and brain) more widely, making it harder to pinpoint the locations of the source currents in the brain. Another important difference between the methods is that skull and scalp dampen and smear EEG signals, but do not affect MEG. Hence, to fully understand brain function, information from MEG and EEG should be combined. Additionally, the excellent neurodynamical information these two methods provide can be merged with data from other brain-imaging methods, especially functional magnetic resonance imaging where spatial resolution is a major strength. MEG-EEG Primer is the first-ever volume to introduce and discuss MEG and EEG in a balanced manner side-by-side, starting from their physical and physiological bases and then advancing to methods of data acquisition, analysis, visualization, and interpretation. The authors pay special attention to careful experimentation, guiding readers to differentiate brain signals from various artifacts and to assure that the collected data are reliable. The book weighs the strengths and weaknesses of MEG and EEG relative to one another and to other methods used in systems, cognitive, and social neuroscience. The authors also discuss the role of MEG and EEG in the assessment of brain function in various clinical disorders. The book aims to bring members of multidisciplinary research teams onto equal footing so that they can contribute to different aspects of MEG and EEG research and to be able to participate in future developments in the field.

EEG MEG Source Reconstruction

EEG MEG Source Reconstruction Book
Author : Thomas R. Knösche,Jens Haueisen
Publisher : Springer
Release : 2021-10-08
ISBN : 9783030749163
Language : En, Es, Fr & De

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Book Description :

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.

Brain Signals

Brain Signals Book
Author : Risto J. Ilmoniemi,Jukka Sarvas
Publisher : MIT Press
Release : 2019-05-28
ISBN : 0262352826
Language : En, Es, Fr & De

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Book Description :

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.

Fundamentals of Brain Network Analysis

Fundamentals of Brain Network Analysis Book
Author : Alex Fornito,Andrew Zalesky,Edward Bullmore
Publisher : Academic Press
Release : 2016-03-04
ISBN : 0124081185
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Brain Network Analysis is a comprehensive and accessible introduction to methods for unraveling the extraordinary complexity of neuronal connectivity. From the perspective of graph theory and network science, this book introduces, motivates and explains techniques for modeling brain networks as graphs of nodes connected by edges, and covers a diverse array of measures for quantifying their topological and spatial organization. It builds intuition for key concepts and methods by illustrating how they can be practically applied in diverse areas of neuroscience, ranging from the analysis of synaptic networks in the nematode worm to the characterization of large-scale human brain networks constructed with magnetic resonance imaging. This text is ideally suited to neuroscientists wanting to develop expertise in the rapidly developing field of neural connectomics, and to physical and computational scientists wanting to understand how these quantitative methods can be used to understand brain organization. Extensively illustrated throughout by graphical representations of key mathematical concepts and their practical applications to analyses of nervous systems Comprehensively covers graph theoretical analyses of structural and functional brain networks, from microscopic to macroscopic scales, using examples based on a wide variety of experimental methods in neuroscience Designed to inform and empower scientists at all levels of experience, and from any specialist background, wanting to use modern methods of network science to understand the organization of the brain

Niedermeyer s Electroencephalography

Niedermeyer s Electroencephalography Book
Author : Fernando H. Lopes da Silva
Publisher : Oxford University Press
Release : 2018
ISBN : 0190228482
Language : En, Es, Fr & De

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Book Description :

Niedermeyer's Electroencephalography: Basic Principles, Clinical Applications, and Related Fields, Seventh Edition keeps the clinical neurophysiologist on the forefront of medical advancements. This authoritative text covers basic neurophysiology, neuroanatomy, and neuroimaging to provide a better understanding of clinical neurophysiological findings. This edition further delves into current state-of-the-art recording EEG activity both in the normal clinical environment and unique situations such as the intensive care unit, operating rooms, and epilepsy monitoring suites. As computer technology evolves, so does the integration of analytical methods that significantly affect the reader's interpretations of waveforms and trends that are occurring on long-term monitoring sessions. Compiled and edited by Donald L. Schomer and Fernando H. Lopes da Silva, along with a global team of experts, they collectively bring insight to crucial sections including basic principles of EEG and MEG, normal EEG, EEG in a clinical setting, clinical EEG in seizures and epilepsy, complementary and special techniques, event-related EEG phenomena, and shed light on the future of EEG and clinical neurophysiology. Akin to an encyclopedia of everything EEG, this comprehensive work is perfect for neurophysiology fellows, as well as neurology, neurosurgery, and general medical residents, and for the interns and medical students, and is a one-stop-shop for anyone training in EEG or preparing for neurophysiology or epilepsy board exams.

Neuromuscular Fundamentals

Neuromuscular Fundamentals Book
Author : Nassir H. Sabah
Publisher : CRC Press
Release : 2020-11-30
ISBN : 1000191443
Language : En, Es, Fr & De

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Book Description :

This book is rather unique in its approach and coverage. The approach is essentially that of an engineering textbook, emphasizing the quantitative aspects and highlighting the fundamentals and basic concepts involved. The coverage progresses in a logical and systematic manner from the subcellular, starting with the electrophysiology of the cell membrane, then proceeding to synapses, neurons, and muscle, before considering neuronal motor ensembles and the neuromuscular system as a whole. Simple, clear, and comprehensive explanations are given throughout. After an introductory chapter on some background material in biology, biophysics, and chemical kinetics, a substantial part of the book (Chapters 2-8) necessarily covers in considerable detail the basic components and processes that underlie the electrical and associated activities of the nervous system. The remaining chapters of the book (Chapters 9-13) focus on the neuromuscular system, starting with the structure of muscle cells, the generation of force by muscular contraction, and muscle receptors. The last chapter examines aspects of the control of movement, motor learning and memory, the maintenance of posture, and locomotion, and critically examines some of the theories that have been advanced to explain how movement is controlled. The book is intended for undergraduate or graduate students in the natural sciences, mathematics, or engineering who seek a deeper understanding of the fundamentals of neuroscience and the somatomotor system, in accordance with the aforementioned objectives. The book can serve as a textbook for a one-semester course on the neuromuscular system or as a reference in a more general course on neuroscience. Provides a thorough analytical treatment of membrane electrophysiology, starting from the first principles Emphasizes strongly the basic and fundamental concepts throughout Discusses thoroughly the essential features and properties of the basic constituents of the nervous system, that is, neurons and synapses, including the neuromuscular junction Explains the main aspects of posture, locomotion, and control of movement Includes practice problems throughout the text and a solutions manual will be available for adopting professors Nassir Sabah is professor of biomedical engineering in the electrical and computer engineering department at the American University of Beirut, Lebanon. He received his B.Sc. (Hons. Class I) and his M.Sc. in electrical engineering from the University of Birmingham, U.K., and his Ph.D. in biophysical sciences from the State University of New York (SUNY/Buffalo). He has served as Chairman of the Electrical Engineering Department, Director of the Institute of Computer Studies, and Dean of the Faculty of Engineering and Architecture at the American University of Beirut. In these capacities, he was responsible for the development of programs, curricula, and courses in electrical, biomedical, communications, and computer engineering. Professor Sabah has extensive professional experience in the fields of electrical engineering, electronics, and computer systems, with more than 35 years’ teaching experience in neuroengineering, biomedical engineering, electronics, and electric circuits. He has over 100 technical publications, mainly in neurophysiology, biophysics, and biomedical instrumentation. He has served on numerous committees and panels in Lebanon and the region. He is a Fellow of the Institution of Engineering and Technology (IET, U.K.), a member of the American Association for the Advancement of Science (AAAS), and a member of the American Society for Engineering Education (ASEE).

Fundamentals of EEG Technology Basic concepts and methods

Fundamentals of EEG Technology  Basic concepts and methods Book
Author : Fay S. Tyner,John Russell Knott
Publisher : Lippincott Williams & Wilkins
Release : 1983
ISBN : 9780890043851
Language : En, Es, Fr & De

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Book Description :

Download Fundamentals of EEG Technology Basic concepts and methods book written by Fay S. Tyner,John Russell Knott, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

fMRI

fMRI Book
Author : Stephan Ulmer,Olav Jansen
Publisher : Springer Science & Business Media
Release : 2013-06-12
ISBN : 3642343422
Language : En, Es, Fr & De

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Book Description :

Over the past two decades, fMRI has evolved into an invaluable clinical tool for routine brain imaging. This book provides a state of the art overview of fMRI and its use in clinical practice. Experts in the field share their knowledge and explain how to overcome diverse potential technical barriers and problems. Starting from the very basics on the origin of the BOLD signal, the book covers technical issues, anatomical landmarks, the full range of clinical applications, methods of statistical analysis, and special issues in various clinical fields. Comparisons are made with other brain mapping techniques, such as DTI, PET, TMS, EEG, and MEG, and their combined use with fMRI is also discussed. Since the first edition, original chapters have been updated and new chapters added, covering both novel aspects of analysis and further important clinical applications.

Computational Modelling of Objects Represented in Images Fundamentals Methods and Applications

Computational Modelling of Objects Represented in Images  Fundamentals  Methods and Applications Book
Author : João Manuel R.S. Tavares,Jorge R.M. Natal
Publisher : CRC Press
Release : 2018-05-08
ISBN : 1351377124
Language : En, Es, Fr & De

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Book Description :

This book contains keynote lectures and full papers presented at the International Symposium on Computational Modelling of Objects Represented in Images (CompIMAGE), held in Coimbra, Portugal, on 20-21 October 2006. International contributions from nineteen countries provide a comprehensive coverage of the current state-of-the-art in the fields of: - Image Processing and Analysis; - Image Segmentation; - Data Interpolation; - Registration, Acquisition and Compression; - 3D Reconstruction; - Objects Tracking; - Motion and Deformation Analysis; - Objects Simulation; - Medical Imaging; - Computational Bioimaging and Visualization. Related techniques also covered in this book include the finite element method, modal analyses, stochastic methods, principal and independent components analyses and distribution models. Computational Modelling of Objects Represented in Images will be useful to academics, researchers and professionals in Computational Vision (image processing and analysis), Computer Sciences, and Computational Mechanics.

Brain Machine Interfaces for Space Applications enhancing astronaut capabilities

Brain Machine Interfaces for Space Applications  enhancing astronaut capabilities Book
Author : Dario Izzo,Luca Rossini
Publisher : Academic Press
Release : 2009-07-10
ISBN : 9780080888644
Language : En, Es, Fr & De

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Book Description :

Among the most interesting fields in research are the emerging possibilities to interface the human brain directly with machines, e.g. with computers and robotic interfaces. The European Space Agency's Advanced Concept team as a multidisciplinary team from engineering, artificial intelligence, and neural engineering has been working on the cutting edge of exploring brain machine interfaces for application in space as solutions to limitations astronauts face in space, and this book for the first time presents the state-of-the-art-cohesively. * A pioneering book for a pioneering field * Presents the application of cutting-edge brain machine interface technologies and concepts to support astronauts in space * Of great interest to space scientists, neuroscientists, and biomedical engineers alike

Biomedical Engineering Fundamentals

Biomedical Engineering Fundamentals Book
Author : Joseph D. Bronzino,Donald R. Peterson
Publisher : CRC Press
Release : 2014-12-17
ISBN : 1439825181
Language : En, Es, Fr & De

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Book Description :

Known as the bible of biomedical engineering, The Biomedical Engineering Handbook, Fourth Edition, sets the standard against which all other references of this nature are measured. As such, it has served as a major resource for both skilled professionals and novices to biomedical engineering. Biomedical Engineering Fundamentals, the first volume of the handbook, presents material from respected scientists with diverse backgrounds in physiological systems, biomechanics, biomaterials, bioelectric phenomena, and neuroengineering. More than three dozen specific topics are examined, including cardiac biomechanics, the mechanics of blood vessels, cochlear mechanics, biodegradable biomaterials, soft tissue replacements, cellular biomechanics, neural engineering, electrical stimulation for paraplegia, and visual prostheses. The material is presented in a systematic manner and has been updated to reflect the latest applications and research findings.

Evaluation and Comparsion of the Independent Components of Simultaneously Measured MEG and EEG Data

Evaluation and Comparsion of the Independent Components of Simultaneously Measured MEG and EEG Data Book
Author : Heriberto Zavala Fernandez
Publisher : Univerlagtuberlin
Release : 2009
ISBN : 3798321221
Language : En, Es, Fr & De

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Book Description :

Download Evaluation and Comparsion of the Independent Components of Simultaneously Measured MEG and EEG Data book written by Heriberto Zavala Fernandez, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Foundations of Sport Related Brain Injuries

Foundations of Sport Related Brain Injuries Book
Author : Semyon M. Slobounov,Wayne J. Sebastianelli
Publisher : Springer Science & Business Media
Release : 2006-08-25
ISBN : 0387325654
Language : En, Es, Fr & De

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Book Description :

In summarizing current insights and controversies over concussions in athletics, this book makes the vital point that symptom resolution does not necessarily mean injury resolution. Research shows that dysfunctional pathways continue for extended periods even after a minor concussion. Until the consequences of short-term perturbations and long-term residual brain dysfunctions are better understood, concussions must be treated with respect and given a higher priority for continued research activity.

Fundamentals of Cognitive Neuroscience

Fundamentals of Cognitive Neuroscience Book
Author : Nicole M. Gage,Bernard Baars
Publisher : Academic Press
Release : 2018-03-14
ISBN : 012803839X
Language : En, Es, Fr & De

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Book Description :

Fundamentals of Cognitive Neuroscience: A Beginner's Guide, Second Edition, is a comprehensive, yet accessible, beginner’s guide on cognitive neuroscience. This text takes a distinctive, commonsense approach to help newcomers easily learn the basics of how the brain functions when we learn, act, feel, speak and socialize. This updated edition includes contents and features that are both academically rigorous and engaging, including a step-by-step introduction to the visible brain, colorful brain illustrations, and new chapters on emerging topics in cognition research, including emotion, sleep and disorders of consciousness, and discussions of novel findings that highlight cognitive neuroscience’s practical applications. Written by two leading experts in the field and thoroughly updated, this book remains an indispensable introduction to the study of cognition. Presents an easy-to-read introduction to mind-brain science based on a simple functional diagram linked to specific brain functions Provides new, up-to-date, colorful brain images directly from research labs Contains "In the News" boxes that describe the newest research and augment foundational content Includes both a student and instructor website with basic terms and definitions, chapter guides, study questions, drawing exercises, downloadable lecture slides, test bank, flashcards, sample syllabi and links to multimedia resources

Models and Algorithms of Brain Connectivity Spatial Sparsity and Temporal Dynamics for the MEG EEG Inverse Problem

Models and Algorithms of Brain Connectivity  Spatial Sparsity  and Temporal Dynamics for the MEG EEG Inverse Problem Book
Author : Camilo Lamus Garcia Herreros
Publisher : Unknown
Release : 2015
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Magnetoencephalography (MEG) and electroencephalography (EEG) are noninvasive functional neuroimaging techniques that provide high temporal resolution recordings of brain activity, offering a unique means to study fast neural dynamics in humans. Localizing the sources of brain activity from MEG/EEG is an ill-posed inverse problem, with no unique solution in the absence of additional information. In this dissertation I analyze how solutions to the MEG/EEG inverse problem can be improved by including information about temporal dynamics of brain activity and connectivity within and among brain regions. The contributions of my thesis are: 1) I develop a dynamic algorithm for source localization that uses local connectivity information and Empirical Bayes estimates to improve source localization performance (Chapter 1). This result led me to investigate the underlying theoretical principles that might explain the performance improvement observed in simulations and by analyzing experimental data. In my analysis, 2) I demonstrate theoretically how the inclusion of local connectivity information and basic source dynamics can greatly increase the number of sources that can be recovered from MEG/EEG data (Chapter 2). Finally, in order to include long distance connectivity information, 3) I develop a fast multi-scale dynamic source estimation algorithm based on the Subspace Pursuit and Kalman Filter algorithms that incorporates brain connectivity information derived from diffusion MRI (Chapter 3). Overall, I illustrate how dynamic models informed by neurophysiology and neuroanatomy can be used alongside advanced statistical and signal processing methods to greatly improve MEG/EEG source localization. More broadly, this work provides an example of how advanced modeling and algorithm development can be used to address difficult problems in neuroscience and neuroimaging.

Principles of Biomedical Engineering Second Edition

Principles of Biomedical Engineering  Second Edition Book
Author : Sundararajan Madihally
Publisher : Artech House
Release : 2019-12-31
ISBN : 1630817120
Language : En, Es, Fr & De

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Book Description :

This updated edition of an Artech House classic introduces readers to the importance of engineering in medicine. Bioelectrical phenomena, principles of mass and momentum transport to the analysis of physiological systems, the importance of mechanical analysis in biological tissues/ organs and biomaterial selection are discussed in detail. Readers learn about the concepts of using living cells in various therapeutics and diagnostics, compartmental modeling, and biomedical instrumentation. The book explores fluid mechanics, strength of materials, statics and dynamics, basic thermodynamics, electrical circuits, and material science. A significant number of numerical problems have been generated using data from recent literature and are given as examples as well as exercise problems. These problems provide an opportunity for comprehensive understanding of the basic concepts, cutting edge technologies and emerging challenges. Describing the role of engineering in medicine today, this comprehensive volume covers a wide range of the most important topics in this burgeoning field. Moreover, you find a thorough treatment of the concept of using living cells in various therapeutics and diagnostics. Structured as a complete text for students with some engineering background, the book also makes a valuable reference for professionals new to the bioengineering field. This authoritative textbook features numerous exercises and problems in each chapter to help ensure a solid understanding of the material.