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"Brain Mathematical models."
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The future of the mind : the scientific quest to understand, enhance, and empower the mind
In this extraordinary, often mind-boggling exploration of the frontiers of neuroscience, Dr. Kaku looks toward the day when we may achieve the ability to upload the human brain to a computer, neuron for neuron; project thoughts and emotions around the world on a brain-net; take a \"smart pill\" to enhance cognition; send our consciousness across the universe; and push the very limits of immortality.
What should be computed to understand and model brain function?
by
Kitamura, Tadashi
in
Artificial intelligence
,
Artificial Intelligence (Machine Learning, Neural Networks, Fuzzy Logic)
,
Biomedical Science
2001
This volume is a guide to two types of transcendence of academic borders which seem necessary for understanding and modelling brain function. The first type is technical transcendence needed to make intelligent machines such as a humanoid robot, an animal-like behavior architecture, an interpreter of fiction, and an evolving learning machine. This technical erosion is conducted into areas such as biology, ethology, neuroscience and psychology, as well as robotics and soft computing. The second type of transcendence of cross-disciplinary boundaries cuts across scientific areas such as biology and cognitive science/philosophy, into comprehensive, less technical and more abstract aspects of brain function. These aspects enable us to know in what direction and how far an intelligent machine will go.
Sizing up consciousness : towards an objective measure of the capacity for experience
This book explores how we can measure consciousness. It clarifies what consciousness is, how it can be generated from a physical system, and how it can be measured. It also shows how conscious states can be expressed mathematically and how precise predictions can be made using data from neurophysiological studies.
Observed brain dynamics
2008,2007
The biomedical sciences have recently undergone revolutionary change, due to the ability to digitize and store large data sets. In neuroscience, the data sources include measurements of neural activity measured using electrode arrays, EEG and MEG, brain imaging data from PET, fMRI, and optical imaging methods. Analysis, visualization, and management of these time series data sets is a growing field of research that has become increasingly important both for experimentalists and theorists interested in brain function. The first part of the book contains a set of chapters which provide non-technical conceptual background to the subject. Salient features include the adoption of an active perspective of the nervous system, an emphasis on function, and a brief survey of different theoretical accounts in neuroscience. The second part is the longest in the book, and contains a refresher course in mathematics and statistics leading up to time series analysis techniques. The third part contains applications of data analysis techniques to the range of data sources indicated above, and the fourth part contains special topics.
Metaphysics of infinity
2013
Since the time of the Greek philosopher Zeno (fifth century BCE), our faculty of analytic understanding has failed to comprehend motion through the ages. The reason is the paradox or contradiction associated with motion. One fundamental contradiction is the conflict between the finite body and the infinite divisibility of the unit distance ab. Indeed, how is it possible to move from a to b if we must first pass through an infinite series of sub-distances in one instant? How can we traverse an unlimited series—a series without limit—yet reach its limit? Because the heart of the problem is the conflict between the finite and the infinite, its solution depends on reconciling this contradiction and transforming this reconciliation into the founding principle of motion. Having accomplished these two things, this work investigates the sweeping consequences they have regarding the geometric form of the physical universe, the Aristotelian ontology of the physical body, the nature of our finite brain, the finite analytic paradigm of empirical science and the meaning of our technological acceleration. This book will appeal to a wide range of readers with interests in the logical mechanics of the physical universe, the hidden powers of our finite brain, and the utility of robots in the future. Although some of the presentation requires the understanding of elementary mathematical equations, the argument is conducted at the deepest level: that of principles. This approach enables readers to follow the book’s reasoning without technical training on the subject.
Biological learning and control : how the brain builds representations, predicts events, and makes decisions
by
Mussa-Ivaldi, Sandro
,
Shadmehr, Reza
in
Brain
,
Brain -- Mathematical models
,
Mathematical models
2012
A novel theoretical framework that describes a possible rationale for the regularity in how we move, how we learn, and how our brain predicts events.
My double unveiled : the dissipative quantum model of brain
2001
This introduction to the dissipative quantum model of brain and to its possible implications for consciousness studies is addressed to a broad interdisciplinary audience. Memory and consciousness are approached from the physicist point of view focusing on the basic observation that the brain is an open system continuously interacting with its environment. The unavoidable dissipative character of the brain functioning turns out to be the root of the brain's large memory capacity and of other memory features such as memory association, memory confusion, duration of memory. The openness of the brain implies a formal picture of the world which is modeled on the same brain image: a sort of brain copy or \"Double\", where world objectiveness and the brain implicit subjectivity are conjugated. Consciousness is seen to arise from the permanent \"dialogue\" of the brain with its Double. The author's narration of his (re-)search gives a cross-over of the physics of elementary particles and condensed matter, and the brain's basic dynamics. This dynamic interplay makes for a \"satisfying feeling of the unity of knowledge\". (Series A).
Statistical parametric mapping : the analysis of functional brain images
2007,2011
In an age where the amount of data collected from brain imaging is increasing constantly, it is of critical importance to analyse those data within an accepted framework to ensure proper integration and comparison of the information collected. This book describes the ideas and procedures that underlie the analysis of signals produced by the brain. The aim is to understand how the brain works, in terms of its functional architecture and dynamics. This book provides the background and methodology for the analysis of all types of brain imaging data, from functional magnetic resonance imaging to magnetoencephalography. Critically, Statistical Parametric Mapping provides a widely accepted conceptual framework which allows treatment of all these different modalities. This rests on an understanding of the brain's functional anatomy and the way that measured signals are caused experimentally. The book takes the reader from the basic concepts underlying the analysis of neuroimaging data to cutting edge approaches that would be difficult to find in any other source. Critically, the material is presented in an incremental way so that the reader can understand the precedents for each new development. This book will be particularly useful to neuroscientists engaged in any form of brain mapping; who have to contend with the real-world problems of data analysis and understanding the techniques they are using. It is primarily a scientific treatment and a didactic introduction to the analysis of brain imaging data. It can be used as both a textbook for students and scientists starting to use the techniques, as well as a reference for practicing neuroscientists. The book also serves as a companion to the software packages that have been developed for brain imaging data analysis. * An essential reference and companion for users of the SPM software * Provides a complete description of the concepts and procedures entailed by the analysis of brain images * Offers full didactic treatment of the basic mathematics behind the analysis of brain imaging data * Stands as a compendium of all the advances in neuroimaging data analysis over the past decade * Adopts an easy to understand and incremental approach that takes the reader from basic statistics to state of the art approaches such as Variational Bayes * Structured treatment of data analysis issues that links different modalities and models * Includes a series of appendices and tutorial-style chapters that makes even the most sophisticated approaches accessible
Better Life and Business
2013
Cell, Brain, Mind and Sex Universal Laws - Better Life and Business: Cell, Brain, Mind and Sex Universal Laws is an e-book that defines the fascinating new discipline: BRAINLIFEBIZ . BRAINLIFEBIZ combines new discoveries in neurobiology, behavior and medicine with novel concepts related to conscious software programming, automation, system adaptation, module selection , self -organization and automatic discovery. This volume presents simulations of the firefly, cricket, katydid, frog, bird and human prefrontal cortex.
Ten simple rules for predictive modeling of individual differences in neuroimaging
by
Gao, Siyuan
,
Salehi, Mehraveh
,
Greene, Abigail S.
in
Algorithms
,
Brain - anatomy & histology
,
Brain - physiology
2019
Establishing brain-behavior associations that map brain organization to phenotypic measures and generalize to novel individuals remains a challenge in neuroimaging. Predictive modeling approaches that define and validate models with independent datasets offer a solution to this problem. While these methods can detect novel and generalizable brain-behavior associations, they can be daunting, which has limited their use by the wider connectivity community. Here, we offer practical advice and examples based on functional magnetic resonance imaging (fMRI) functional connectivity data for implementing these approaches. We hope these ten rules will increase the use of predictive models with neuroimaging data.
•10 simple rules to help researchers apply predictive modeling to connectivity data.•Rules are general to methodological approach with practical examples.•4 rules for validating predictive models through independent data.•3 rules for assessing model performance.•3 rules for removing confounds and increasing interpretability of models.
Journal Article