Mathematical Modeling Of The Human Brain

Author : Kent-André Mardal
Publisher : Springer Nature
ISBN 13 : 3030951367
Total Pages : 129 pages
Book Rating : 4.68/5 ( download)

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Download or read book Mathematical Modeling of the Human Brain written by Kent-André Mardal and published by Springer Nature. This book was released on 2022-02-25 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book bridges common tools in medical imaging and neuroscience with the numerical solution of brain modelling PDEs. The connection between these areas is established through the use of two existing tools, FreeSurfer and FEniCS, and one novel tool, the SVM-Tk, developed for this book. The reader will learn the basics of magnetic resonance imaging and quickly proceed to generating their first FEniCS brain meshes from T1-weighted images. The book's presentation concludes with the reader solving a simplified PDE model of gadobutrol diffusion in the brain that incorporates diffusion tensor images, of various resolution, and complex, multi-domain, variable-resolution FEniCS meshes with detailed markings of anatomical brain regions. After completing this book, the reader will have a solid foundation for performing patient-specific finite element simulations of biomechanical models of the human brain.

Author : Grace Lindsay
Publisher : Bloomsbury Publishing
ISBN 13 : 1472966457
Total Pages : 401 pages
Book Rating : 4.52/5 ( download)

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Download or read book Models of the Mind written by Grace Lindsay and published by Bloomsbury Publishing. This book was released on 2021-03-04 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could 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 the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind 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 behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.

Author : Andrey S. Bryukhovetskiy
Publisher :
ISBN 13 : 9781634847674
Total Pages : 240 pages
Book Rating : 4.79/5 ( download)

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Download or read book Human Brain Theory written by Andrey S. Bryukhovetskiy and published by . This book was released on 2016 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book was written as an attempt to find the solution to one of the most complex and unsolved issues of the human anatomy: the understanding of the human brain and the principles according to which it operates. Currently, it is important to look at the challenge in an alternatively non-standard, yet still systemic way, paying less attention to details and outlining the ways out of this crisis of neuroscience. The purpose of this monograph is to describe the author's theory about the brain's architecture and operation to the medical and scientific community. Accompanied with extensive clinical, research and training experience, the author's theoretical concepts of the brain synthesized with scientific evidence brought about the conclusion that low efficiency in neurologic therapy and mental diseases; the inability to work out mathematical models and simulations that could compete with the human brain; an academic dead end in the development of artificial intelligence; as well as high energy consumption of the computing innovations were conditioned by the inaccurate methodology and outdated anatomical and physiological views of the neurologists and neuroscientists on information processing in the brain, registration of memories and basic functions of the key morphological structures of the brain. The morphological structure and physiological functions of all known anatomical formations of the brain were defined in the late nineteenth century. Since then, these functions have been accepted as dogmatic. The book shows that present day multi-level neuroresearch relies on the foundation of systemic, morphofunctional and neuroanatomic knowledge about the brain structure. It looks for correlations between genome and post-genome data of molecular research in the brain tissue, as well as with neuropsychological and cognitive data; that is, the book intends to integrate the non-integrable into unified information space. The systemic approach in neuroresearch has become outdated by now and interferes with scientific development. The information approach in the author's research of the genome, transcriptome, proteome in health and in disease permitted the analysis of the inductivity and magnetization of the nervous tissue. It also provided the explanation for targeted movement of the data in the module of the nervous tissue. The author came to the conclusion that gene, protein and neural networks "confused and chained" the pathways of scientific thought. Neural networks are only logistic constructions to provide data transfer in the brain between different modules of the nervous tissue. The author presumes that the funds invested in the development of brain simulations and artificial intelligence will hardly result in the expected advantages. If we are unable to step over the stereotypes of the systemic, morphofunctional research of the previous century, no progress shall come about. The author's theoretical survey resulted in the unique information-commutation theory of the brain and formulation of the key principles of brain operation. As a clinician and professor of neurology, the author underpins his theory with clinical examples. This book presents the framework of the ideas that require experimental research and proof.

Author : Grace Lindsay
Publisher :
ISBN 13 : 9781472966445
Total Pages : 400 pages
Book Rating : 4.49/5 ( download)

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Download or read book Models of the Mind written by Grace Lindsay and published by . This book was released on 2021 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The human brain is made up of 85 billion neurons, which are connected by over 100 trillion synapses. For more than a century, a diverse array of researchers searched for a language that could 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 the abstract world of mathematical modelling collides with the messy details of biology. Each chapter of Models of the Mind 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 behaviours that brains command. In addition, Grace examines the history of the field, starting with experiments done on frog legs in the late eighteenth century and building to the large models of artificial neural networks that form the basis of modern artificial intelligence. Throughout, she reveals the value of using the elegant language of mathematics to describe the machinery of neuroscience.

Author : Hiroshi Yamada
Publisher : Frontiers Media SA
ISBN 13 : 2889663035
Total Pages : 127 pages
Book Rating : 4.33/5 ( download)

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Download or read book Mathematical Modeling toward Understanding Humans and Animals: from Decision Making to Motor Controls written by Hiroshi Yamada and published by Frontiers Media SA. This book was released on 2020-12-30 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This eBook is a collection of articles from a Frontiers Research Topic. Frontiers Research Topics are very popular trademarks of the Frontiers Journals Series: they are collections of at least ten articles, all centered on a particular subject. With their unique mix of varied contributions from Original Research to Review Articles, Frontiers Research Topics unify the most influential researchers, the latest key findings and historical advances in a hot research area! Find out more on how to host your own Frontiers Research Topic or contribute to one as an author by contacting the Frontiers Editorial Office: frontiersin.org/about/contact.

Author :
Publisher : Academic Press
ISBN 13 : 0444642552
Total Pages : 426 pages
Book Rating : 4.54/5 ( download)

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Download or read book Mathematical Modelling in Motor Neuroscience: State of the Art and Translation to the Clinic, Gaze Orienting Mechanisms and Disease written by and published by Academic Press. This book was released on 2019-07-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling in Motor Neuroscience: State of the Art and Translation to the Clinic, Gaze Orienting Mechanisms and Disease, Volume 249, the latest release in the Progress in Brain Research series, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of topics, including Sequential Bayesian updating, Maps and Sensorimotor Transformations for Eye-Head Gaze Shifts: Role of the Midbrain Superior Colliculus, Modeling Gaze Position-Dependent Opsoclonus, Eye Position-Dependent Opsoclonus in Mild Traumatic Brain Injury, Saccades in Parkinson's disease -- hypometric, slow, and maladaptive, Brainstem Neural Circuits for Fixation and Generation of Saccadic Eye Movements, and much more. Provides the authority and expertise of leading contributors from an international board of authors Presents the latest release in the Progress in Brain Research series Includes the latest information on mathematical modeling in motor neuroscience

Author : R. Grimshaw
Publisher : Routledge
ISBN 13 : 135142808X
Total Pages : 276 pages
Book Rating : 4.88/5 ( download)

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Download or read book Nonlinear Ordinary Differential Equations written by R. Grimshaw and published by Routledge. This book was released on 2017-10-19 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Author : Johnny T. Ottesen
Publisher : SIAM
ISBN 13 : 9780898718287
Total Pages : 311 pages
Book Rating : 4.87/5 ( download)

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Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen and published by SIAM. This book was released on 2004-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Author : Karl J. Friston
Publisher : Elsevier
ISBN 13 : 9780080472959
Total Pages : 1144 pages
Book Rating : 4.58/5 ( download)

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Download or read book Human Brain Function written by Karl J. Friston and published by Elsevier. This book was released on 2004-01-26 with total page 1144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This updated second edition provides the state of the art perspective of the theory, practice and application of modern non-invasive imaging methods employed in exploring the structural and functional architecture of the normal and diseased human brain. Like the successful first edition, it is written by members of the Functional Imaging Laboratory - the Wellcome Trust funded London lab that has contributed much to the development of brain imaging methods and their application in the last decade. This book should excite and intrigue anyone interested in the new facts about the brain gained from neuroimaging and also those who wish to participate in this area of brain science. * Represents an almost entirely new book from 1st edition, covering the rapid advances in methods and in understanding of how human brains are organized * Reviews major advances in cognition, perception, emotion and action * Introduces novel experimental designs and analytical techniques made possible with fMRI, including event-related designs and non-linear analysis

Author : Joseph W. Houpt
Publisher : Routledge
ISBN 13 : 1317297482
Total Pages : 288 pages
Book Rating : 4.82/5 ( download)

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Download or read book Mathematical Models of Perception and Cognition Volume II written by Joseph W. Houpt and published by Routledge. This book was released on 2016-05-20 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this two volume festschrift, contributors explore the theoretical developments (Volume I) and applications (Volume II) in traditional cognitive psychology domains, and model other areas of human performance that benefit from rigorous mathematical approaches. It brings together former classmates, students and colleagues of Dr. James T. Townsend, a pioneering researcher in the field since the early 1960s, to provide a current overview of mathematical modeling in psychology. Townsend’s research critically emphasized a need for rigor in the practice of cognitive modeling, and for providing mathematical definition and structure to ill-defined psychological topics. The research captured demonstrates how the interplay of theory and application, bridged by rigorous mathematics, can move cognitive modeling forward.