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Mathematical Modelling and Biomechanics of the Brain

2019-09-06 Mathematics
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Release : 2019-09-06
Genre : Mathematics
Kind : eBook
Book Rating : 102/5 ( reviews)

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Book Synopsis Mathematical Modelling and Biomechanics of the Brain by : Corina Drapaca

Download or read book Mathematical Modelling and Biomechanics of the Brain written by Corina Drapaca. This book was released on 2019-09-06. Available in PDF, EPUB and Kindle. Book excerpt: This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.

Mathematical Modeling of the Human Brain

2022-02-25 Mathematics
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Release : 2022-02-25
Genre : Mathematics
Kind : eBook
Book Rating : 367/5 ( reviews)

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Book Synopsis Mathematical Modeling of the Human Brain by : Kent-André Mardal

Download or read book Mathematical Modeling of the Human Brain written by Kent-André Mardal. This book was released on 2022-02-25. 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.

Biomechanics of the Brain

2019-08-08 Science
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Release : 2019-08-08
Genre : Science
Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis Biomechanics of the Brain by : Karol Miller

Download or read book Biomechanics of the Brain written by Karol Miller. This book was released on 2019-08-08. Available in PDF, EPUB and Kindle. Book excerpt: This new edition presents an authoritative account of the current state of brain biomechanics research for engineers, scientists and medical professionals. Since the first edition in 2011, this topic has unquestionably entered into the mainstream of biomechanical research. The book brings together leading scientists in the diverse fields of anatomy, neuroimaging, image-guided neurosurgery, brain injury, solid and fluid mechanics, mathematical modelling and computer simulation to paint an inclusive picture of the rapidly evolving field. Covering topics from brain anatomy and imaging to sophisticated methods of modeling brain injury and neurosurgery (including the most recent applications of biomechanics to treat epilepsy), to the cutting edge methods in analyzing cerebrospinal fluid and blood flow, this book is the comprehensive reference in the field. Experienced researchers as well as students will find this book useful.

Models of the Mind

2021 Brain
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Release : 2021
Genre : Brain
Kind : eBook
Book Rating : 445/5 ( reviews)

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Book Synopsis Models of the Mind by : Grace Lindsay

Download or read book Models of the Mind written by Grace Lindsay. This book was released on 2021. 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.

Mathematical Modelling in Motor Neuroscience: State of the Art and Translation to the Clinic, Gaze Orienting Mechanisms and Disease

2019-07-18 Science
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Release : 2019-07-18
Genre : Science
Kind : eBook
Book Rating : 552/5 ( reviews)

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Book Synopsis Mathematical Modelling in Motor Neuroscience: State of the Art and Translation to the Clinic, Gaze Orienting Mechanisms and Disease by :

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 . This book was released on 2019-07-18. 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

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