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Mathematical Modeling of Human Brain Physiological Data

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Release : 2011
Genre :
Kind : eBook
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Book Synopsis Mathematical Modeling of Human Brain Physiological Data by : Matthias Böhm

Download or read book Mathematical Modeling of Human Brain Physiological Data written by Matthias Böhm. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling of the Human Brain

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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.

Applied Mathematical Models in Human Physiology

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Release : 2004-01-01
Genre : Medical
Kind : eBook
Book Rating : 287/5 ( reviews)

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Book Synopsis Applied Mathematical Models in Human Physiology by : Johnny T. Ottesen

Download or read book Applied Mathematical Models in Human Physiology written by Johnny T. Ottesen. This book was released on 2004-01-01. 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.

Models of the Mind

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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 Modeling And Simulation In Enteric Neurobiology

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Release : 2009-01-22
Genre : Mathematics
Kind : eBook
Book Rating : 874/5 ( reviews)

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Book Synopsis Mathematical Modeling And Simulation In Enteric Neurobiology by : Roustem Miftahof

Download or read book Mathematical Modeling And Simulation In Enteric Neurobiology written by Roustem Miftahof. This book was released on 2009-01-22. Available in PDF, EPUB and Kindle. Book excerpt: The lack of scientists equally trained and prepared to understand both mathematics and biology/medicine hampers the development and application of computer simulation methods in biology and neurogastrobiology. Currently, there are no texts for navigating the extensive and intricate field of mathematical and computational modeling in neurogastrobiology. This book bridges the gap between mathematicians, computer scientists and biologists, and thus assists in the study and analysis of complex biological phenomena that cannot be done through traditional in vivo and in vitro experimental approaches.The book recognizes the complexity of biological phenomena under investigation and treats the subject matter with a degree of mathematical rigor. Special attention is given to computer simulations for interpolation and extrapolation of electromechanical and chemoelectrical phenomena, nonlinear self-sustained electromechanical wave activity, pharmacological effects including co-localization and co-transmission by multiple neurotransmitters, receptor polymodality, and drug interactions.Mathematical Modeling and Simulation in Enteric Neurobiology is an interdisciplinary book and is an essential source of information for biologists and doctors who are interested in knowing about the role and advantages of numerical experimentation in their subjects, as well as for mathematicians who are interested in exploring new areas of applications.

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