Mathematical Foundations Of Neuroscience PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Mathematical Foundations Of Neuroscience PDF full book. Access full book title Mathematical Foundations Of Neuroscience.
Author | : G. Bard Ermentrout |
Publisher | : Springer Science & Business Media |
Total Pages | : 434 |
Release | : 2010-07-01 |
Genre | : Mathematics |
ISBN | : 0387877088 |
Download Mathematical Foundations of Neuroscience Book in PDF, ePub and Kindle
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.
Author | : Alla Borisyuk |
Publisher | : Springer |
Total Pages | : 179 |
Release | : 2005-01-28 |
Genre | : Mathematics |
ISBN | : 3540315446 |
Download Tutorials in Mathematical Biosciences I Book in PDF, ePub and Kindle
This volume introduces some basic theories on computational neuroscience. Chapter 1 is a brief introduction to neurons, tailored to the subsequent chapters. Chapter 2 is a self-contained introduction to dynamical systems and bifurcation theory, oriented towards neuronal dynamics. The theory is illustrated with a model of Parkinson's disease. Chapter 3 reviews the theory of coupled neural oscillators observed throughout the nervous systems at all levels; it describes how oscillations arise, what pattern they take, and how they depend on excitory or inhibitory synaptic connections. Chapter 4 specializes to one particular neuronal system, namely, the auditory system. It includes a self-contained introduction, from the anatomy and physiology of the inner ear to the neuronal network that connects the hair cells to the cortex, and describes various models of subsystems.
Author | : Fabrizio Gabbiani |
Publisher | : Academic Press |
Total Pages | : 630 |
Release | : 2017-02-04 |
Genre | : Mathematics |
ISBN | : 0128019069 |
Download Mathematics for Neuroscientists Book in PDF, ePub and Kindle
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
Author | : Stanislaw Brzychczy |
Publisher | : Academic Press |
Total Pages | : 188 |
Release | : 2013-07-12 |
Genre | : Medical |
ISBN | : 9780124114685 |
Download Mathematical Neuroscience Book in PDF, ePub and Kindle
This book investigates the theory and methods of nonlinear analysis of infinite systems based on functional analysis techniques arising in modern mathematics, and examines the solvability of infinite systems of reaction diffusion type equations in partially ordered abstract spaces.
Author | : William W. Lytton |
Publisher | : Springer Science & Business Media |
Total Pages | : 369 |
Release | : 2007-05-08 |
Genre | : Mathematics |
ISBN | : 0387227334 |
Download From Computer to Brain Book in PDF, ePub and Kindle
Biology undergraduates, medical students and life-science graduate students often have limited mathematical skills. Similarly, physics, math and engineering students have little patience for the detailed facts that make up much of biological knowledge. Teaching computational neuroscience as an integrated discipline requires that both groups be brought forward onto common ground. This book does this by making ancillary material available in an appendix and providing basic explanations without becoming bogged down in unnecessary details. The book will be suitable for undergraduates and beginning graduate students taking a computational neuroscience course and also to anyone with an interest in the uses of the computer in modeling the nervous system.
Author | : Giovanni Naldi |
Publisher | : Springer |
Total Pages | : 255 |
Release | : 2018-03-20 |
Genre | : Mathematics |
ISBN | : 3319682970 |
Download Mathematical and Theoretical Neuroscience Book in PDF, ePub and Kindle
This volume gathers contributions from theoretical, experimental and computational researchers who are working on various topics in theoretical/computational/mathematical neuroscience. The focus is on mathematical modeling, analytical and numerical topics, and statistical analysis in neuroscience with applications. The following subjects are considered: mathematical modelling in Neuroscience, analytical and numerical topics; statistical analysis in Neuroscience; Neural Networks; Theoretical Neuroscience. The book is addressed to researchers involved in mathematical models applied to neuroscience.
Author | : Laurence F. Abbott |
Publisher | : MIT Press |
Total Pages | : 526 |
Release | : 2005-08-12 |
Genre | : Medical |
ISBN | : 0262311429 |
Download Theoretical Neuroscience Book in PDF, ePub and Kindle
Theoretical neuroscience provides a quantitative basis for describing what nervous systems do, determining how they function, and uncovering the general principles by which they operate. This text introduces the basic mathematical and computational methods of theoretical neuroscience and presents applications in a variety of areas including vision, sensory-motor integration, development, learning, and memory. The book is divided into three parts. Part I discusses the relationship between sensory stimuli and neural responses, focusing on the representation of information by the spiking activity of neurons. Part II discusses the modeling of neurons and neural circuits on the basis of cellular and synaptic biophysics. Part III analyzes the role of plasticity in development and learning. An appendix covers the mathematical methods used, and exercises are available on the book's Web site.
Author | : Daniel Johnston |
Publisher | : MIT Press |
Total Pages | : 709 |
Release | : 1994-11-02 |
Genre | : Medical |
ISBN | : 0262293498 |
Download Foundations of Cellular Neurophysiology Book in PDF, ePub and Kindle
with simulations and illustrations by Richard Gray Problem solving is an indispensable part of learning a quantitative science such as neurophysiology. This text for graduate and advanced undergraduate students in neuroscience, physiology, biophysics, and computational neuroscience provides comprehensive, mathematically sophisticated descriptions of modern principles of cellular neurophysiology. It is the only neurophysiology text that gives detailed derivations of equations, worked examples, and homework problem sets (with complete answers). Developed from notes for the course that the authors have taught since 1983, Foundations of Cellular Neurophysiology covers cellular neurophysiology (also some material at the molecular and systems levels) from its physical and mathematical foundations in a way that is far more rigorous than other commonly used texts in this area.
Author | : Alwyn Scott |
Publisher | : Springer Science & Business Media |
Total Pages | : 362 |
Release | : 2007-12-14 |
Genre | : Science |
ISBN | : 0387224637 |
Download Neuroscience Book in PDF, ePub and Kindle
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.
Author | : Elizabeth Brannon |
Publisher | : Academic Press |
Total Pages | : 375 |
Release | : 2011-05-31 |
Genre | : Mathematics |
ISBN | : 0123859484 |
Download Space, Time and Number in the Brain Book in PDF, ePub and Kindle
The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields