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"The brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For over a century, a diverse array of researchers have been trying to find a language that can be used to capture the essence of what these neurons do and how they communicate - and how those communications create thoughts, perceptions and actions. The language they were looking for was mathematics, and we would not be able to understand the brain as we do today without it. In Models of the Mind, author and computational neuroscientist Grace Lindsay explains how mathematical models have allowed scientists to understand and describe many of the brain's processes, including decision-making, sensory processing, quantifying memory, and more. She introduces readers to the most important concepts in modern neuroscience, and highlights the tensions that arise when bringing the abstract world of mathematical modelling into contact with the messy details of biology. Each chapter focuses on mathematical tools that have been applied in a particular area of neuroscience, progressing from the simplest building block of the brain - the individual neuron - through to circuits of interacting neurons, whole brain areas and even the behaviors that brains command. Throughout Grace will look at the history of the field, starting with experiments done on neurons in frog legs at the turn of the twentieth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. She demonstrates the value of describing the machinery of neuroscience using the elegant language of mathematics, and reveals in full the remarkable fruits of this endeavor."--Amazon.com
Brain --- Computational neuroscience. --- Neurosciences informatiques. --- SCIENCE --- Mathematical models. --- Life Sciences --- Anatomy & Physiology.
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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.
Neurosciences --- Computational neuroscience --- Neurosciences informatiques --- Mathematics --- Computational neuroscience. --- Mathematics. --- Mathématiques --- Mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B
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"Computational neuroscience is the theoretical study of the brain to uncover the principles and mechanisms that guide the development, organization, information processing, and mental functions of the nervous system. Although not a new area, it is only recently that enough knowledge has been gathered to establish computational neuroscience as a scientific discipline in its own right. Given the complexity of the field, and its increasing importance in progressing our understanding of how the brain works, there has long been a need for an introductory text on what is often assumed to be an impenetrable topic. The new edition of Fundamentals of Computational Neuroscience build on the success and strengths of the first edition. It introduces the theoretical foundations of neuroscience with a focus on the nature of information processing in the brain. The book covers the introduction and motivation of simplified models of neurons that are suitable for exploring information processing in large brain-like networks. Additionally, it introduces several fundamental network architectures and discusses their relevance for information processing in the brain, giving some examples of models of higher-order cognitive functions to demonstrate the advanced insight that can be gained with such studies. Each chapter starts by introducing its topic with experimental facts and conceptual questions related to the study of brain function. An additional feature is the inclusion of simple Matlab programs that can be used to explore many of the mechanisms explained in the book. An accompanying webpage includes programs for download. The book is aimed at those within the brain and cognitive sciences, from graduate level and upwards"--Provided by publisher.
Computational neuroscience. --- Computational neurosciences --- Computational biology --- Neurosciences --- Neurosciences informatiques --- Brain --- Computational Biology --- Models, Neurological. --- Nerve Net. --- Neurons --- Physiology. --- Methods.
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Neural Networks (Computer) --- Neural networks (Neurobiology) --- Neural networks (Computer science) --- Computational neuroscience. --- Réseaux neuronaux (Neurobiologie) --- Réseaux neuronaux (Informatique) --- Neurosciences informatiques --- Neural networks (Computer science). --- Neural networks (Neurobiology). --- Réseaux neuronaux (Neurobiologie) --- Réseaux neuronaux (Informatique) --- Neural Networks, Computer.
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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.
Mathematics --- Biomathematics. Biometry. Biostatistics --- Biology --- Physiology of nerves and sense organs --- Neuropathology --- Computer science --- neurologie --- biomathematica --- biologie --- informatica --- wiskunde --- neurobiologie --- Neurosciences --- Computational neuroscience --- Neurosciences informatiques --- Mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Computational neuroscience. --- Mathematics.
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What produces emotions? Why and how do we have emotions? Why do emotional states feel like something? What is the relation between emotion, and reward value, and subjective feelings of pleasure? How does the brain implement decision-making? Are gene-defined rewards and emotions in the interests of the genes, and does rational multistep planning enable us to go beyond selfish genes to long-term plans and social contracts in the interests of the individual? This book seeks explanations of emotion and decision-making by considering these and other questions.
Emotions. --- Decision making. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Feelings --- Human emotions --- Passions --- Psychology --- Affect (Psychology) --- Affective neuroscience --- Apathy --- Pathognomy --- Decision making --- Brain --- Computational neuroscience. --- Emotions --- Neurophysiology. --- Neuropsychology. --- Physiology. --- Physiological aspects. --- Computational neuroscience --- Neurophysiology --- Neuropsychology --- Prise de décision --- Neurosciences informatiques --- Neurophysiologie --- Neuropsychologie --- Aspect physiologique
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neuroscience informatics --- artifcial intelligence --- neuroradiology --- neuroimaging --- diagnostic imaging --- clinical neuropathology --- Neurosciences --- Medical Informatics --- Nervous system --- Biomedical engineering --- Neuroinformatics --- Computational neuroscience --- Neurosciences. --- Système nerveux --- Génie biomédical --- Neuro-informatique --- Neurosciences informatiques --- Bio-informatique. --- Computational neuroscience. --- Neuroinformatics. --- Diseases --- Diagnosis --- Data processing --- Treatment --- Maladies --- Diagnostic --- Informatique --- Traitement --- Data processing. --- Medical informatics --- Computational neurosciences --- Computational biology --- Neural sciences --- Neurological sciences --- Neuroscience --- Medical sciences --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Organs (Anatomy) --- Computer Science, Medical --- Health Informatics --- Health Information Technology --- Informatics, Clinical --- Informatics, Medical --- Information Science, Medical --- Clinical Informatics --- Medical Computer Science --- Medical Information Science --- Health Information Technologies --- Informatics, Health --- Information Technology, Health --- Medical Computer Sciences --- Medical Information Sciences --- Science, Medical Computer --- Technology, Health Information --- Computational Biology --- Biomedical Technology --- American Recovery and Reinvestment Act
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This text provides an introduction to computational aspects of early vision, in particular, color, stereo, and visual navigation. It integrates approaches from psychophysics and quantitative neurobiology, as well as theories and algorithms from machine vision and photogrammetry. When presenting mathematical material, it uses detailed verbal descriptions and illustrations to clarify complex points. The text is suitable for upper-level students in neuroscience, biology, and psychology who have basic mathematical skills and are interested in studying the mathematical modeling of perception.
Artificial intelligence. Robotics. Simulation. Graphics --- Affective and dynamic functions --- Physiology of nerves and sense organs --- Vision --- Computational neuroscience --- Visual cortex --- Neurosciences informatiques --- Computer simulation --- Models, Biological --- Perception --- Models, Theoretical --- Mental Processes --- Investigative Techniques --- Psychological Phenomena and Processes --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Psychiatry and Psychology --- Models, Neurological --- Visual Perception --- Human Anatomy & Physiology --- Health & Biological Sciences --- Neuroscience --- Perception, Visual --- Perceptions, Visual --- Visual Perceptions --- Model, Neurological --- Neurologic Model --- Neurological Model --- Neurological Models --- Neurologic Models --- Model, Neurologic --- Models, Neurologic --- Psychologic Processes and Principles --- Investigative Technics --- Investigative Technic --- Investigative Technique --- Technic, Investigative --- Technics, Investigative --- Technique, Investigative --- Techniques, Investigative --- Human Information Processing --- Information Processing, Human --- Experimental Model --- Experimental Models --- Mathematical Model --- Model, Experimental --- Models (Theoretical) --- Models, Experimental --- Models, Theoretic --- Theoretical Study --- Mathematical Models --- Model (Theoretical) --- Model, Mathematical --- Model, Theoretical --- Models, Mathematical --- Studies, Theoretical --- Study, Theoretical --- Theoretical Model --- Theoretical Models --- Theoretical Studies --- Perceptions --- Biological Model --- Biological Models --- Model, Biological --- Models, Biologic --- Biologic Model --- Biologic Models --- Model, Biologic --- Vision, Ocular --- Psychologic Processes --- Psychological Processes --- Phenomena, Psychological --- Processes, Psychologic --- Processes, Psychological --- Psychological Phenomenas --- Psychological Processe --- Computer Simulation --- Systems Theory --- Sensation --- Computational neuroscience. --- Computer simulation. --- NEUROSCIENCE/General --- NEUROSCIENCE/Visual Neuroscience --- Eyesight --- Seeing --- Sight --- Senses and sensation --- Blindfolds --- Eye --- Physiological optics --- Area striata --- Striate area --- Striate cortex --- Occipital lobes --- Computational neurosciences --- Computational biology --- Neurosciences
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