Numerical Methods, with Applications in the Biomedical Sciences

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Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.26/5 ( download)

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Book Synopsis Numerical Methods, with Applications in the Biomedical Sciences by : E. H. Twizell

Download or read book Numerical Methods, with Applications in the Biomedical Sciences written by E. H. Twizell and published by . This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical Methods in Biomedical Engineering

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Publisher : Elsevier
ISBN 13 : 9780080470801
Total Pages : 632 pages
Book Rating : 4.07/5 ( download)

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Book Synopsis Numerical Methods in Biomedical Engineering by : Stanley Dunn

Download or read book Numerical Methods in Biomedical Engineering written by Stanley Dunn and published by Elsevier. This book was released on 2005-11-21 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics. Supported by Whitaker Foundation Teaching Materials Program; ABET-oriented pedagogical layout Extensive hands-on homework exercises

Numerical Methods, with Applications in the Biomedical Sciences

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Author :
Publisher :
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.90/5 ( download)

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Book Synopsis Numerical Methods, with Applications in the Biomedical Sciences by : E. H. Twizell

Download or read book Numerical Methods, with Applications in the Biomedical Sciences written by E. H. Twizell and published by . This book was released on 1988 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Equation Analysis in Biomedical Science and Engineering

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1118705238
Total Pages : 346 pages
Book Rating : 4.30/5 ( download)

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Book Synopsis Differential Equation Analysis in Biomedical Science and Engineering by : William E. Schiesser

Download or read book Differential Equation Analysis in Biomedical Science and Engineering written by William E. Schiesser and published by John Wiley & Sons. This book was released on 2014-02-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a solid foundation of mathematical and computational tools to formulate and solve real-world ODE problems across various fields With a step-by-step approach to solving ordinary differential equations (ODEs), Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R successfully applies computational techniques for solving real-world ODE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear ordinary differential equations. The author’s primary focus is on models expressed as systems of ODEs, which generally result by neglecting spatial effects so that the ODE dependent variables are uniform in space. Therefore, time is the independent variable in most applications of ODE systems. As such, the book emphasizes details of the numerical algorithms and how the solutions were computed. Featuring computer-based mathematical models for solving real-world problems in the biological and biomedical sciences and engineering, the book also includes: R routines to facilitate the immediate use of computation for solving differential equation problems without having to first learn the basic concepts of numerical analysis and programming for ODEs Models as systems of ODEs with explanations of the associated chemistry, physics, biology, and physiology as well as the algebraic equations used to calculate intermediate variables Numerical solutions of the presented model equations with a discussion of the important features of the solutions Aspects of general ODE computation through various biomolecular science and engineering applications Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R is an excellent reference for researchers, scientists, clinicians, medical researchers, engineers, statisticians, epidemiologists, and pharmacokineticists who are interested in both clinical applications and interpretation of experimental data with mathematical models in order to efficiently solve the associated differential equations. The book is also useful as a textbook for graduate-level courses in mathematics, biomedical science and engineering, biology, biophysics, biochemistry, medicine, and engineering.

Method of Lines PDE Analysis in Biomedical Science and Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1119130484
Total Pages : 372 pages
Book Rating : 4.82/5 ( download)

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Book Synopsis Method of Lines PDE Analysis in Biomedical Science and Engineering by : William E. Schiesser

Download or read book Method of Lines PDE Analysis in Biomedical Science and Engineering written by William E. Schiesser and published by John Wiley & Sons. This book was released on 2016-04-18 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial/boundary value PDEs before moving on to specific BMSE applications of PDEs. Featuring a straightforward approach, the book’s chapters follow a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)/PDE system, including the initial and boundary conditions. Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: Examples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids Discussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms A companion website that provides source code for the R routines Method of Lines PDE Analysis in Biomedical Science and Engineering is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering.

Numerical and Statistical Methods for Bioengineering

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Publisher : Cambridge University Press
ISBN 13 : 1139493426
Total Pages : 595 pages
Book Rating : 4.20/5 ( download)

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Book Synopsis Numerical and Statistical Methods for Bioengineering by : Michael R. King

Download or read book Numerical and Statistical Methods for Bioengineering written by Michael R. King and published by Cambridge University Press. This book was released on 2010-11-04 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

Differential Equation Analysis in Biomedical Science and Engineering

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Publisher : John Wiley & Sons
ISBN 13 : 1118705165
Total Pages : 280 pages
Book Rating : 4.62/5 ( download)

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Book Synopsis Differential Equation Analysis in Biomedical Science and Engineering by : William E. Schiesser

Download or read book Differential Equation Analysis in Biomedical Science and Engineering written by William E. Schiesser and published by John Wiley & Sons. This book was released on 2014-03-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features a solid foundation of mathematical and computational tools to formulate and solve real-world PDE problems across various fields With a step-by-step approach to solving partial differential equations (PDEs), Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R successfully applies computational techniques for solving real-world PDE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear partial differential equations. The author’s primary focus is on models expressed as systems of PDEs, which generally result from including spatial effects so that the PDE dependent variables are functions of both space and time, unlike ordinary differential equation (ODE) systems that pertain to time only. As such, the book emphasizes details of the numerical algorithms and how the solutions were computed. Featuring computer-based mathematical models for solving real-world problems in the biological and biomedical sciences and engineering, the book also includes: R routines to facilitate the immediate use of computation for solving differential equation problems without having to first learn the basic concepts of numerical analysis and programming for PDEs Models as systems of PDEs and associated initial and boundary conditions with explanations of the associated chemistry, physics, biology, and physiology Numerical solutions of the presented model equations with a discussion of the important features of the solutions Aspects of general PDE computation through various biomedical science and engineering applications Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R is an excellent reference for researchers, scientists, clinicians, medical researchers, engineers, statisticians, epidemiologists, and pharmacokineticists who are interested in both clinical applications and interpretation of experimental data with mathematical models in order to efficiently solve the associated differential equations. The book is also useful as a textbook for graduate-level courses in mathematics, biomedical science and engineering, biology, biophysics, biochemistry, medicine, and engineering.

Numerical and Statistical Methods for Bioengineering

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Publisher : Cambridge University Press
ISBN 13 : 9780521871587
Total Pages : 594 pages
Book Rating : 4.81/5 ( download)

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Book Synopsis Numerical and Statistical Methods for Bioengineering by : Michael R. King

Download or read book Numerical and Statistical Methods for Bioengineering written by Michael R. King and published by Cambridge University Press. This book was released on 2010-11-04 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

Essential Numerical Computer Methods

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Publisher : Academic Press
ISBN 13 : 9780123849984
Total Pages : 616 pages
Book Rating : 4.85/5 ( download)

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Book Synopsis Essential Numerical Computer Methods by : Michael L. Johnson

Download or read book Essential Numerical Computer Methods written by Michael L. Johnson and published by Academic Press. This book was released on 2010-11-25 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of computers and computational methods has become ubiquitous in biological and biomedical research. During the last 2 decades most basic algorithms have not changed, but what has is the huge increase in computer speed and ease of use, along with the corresponding orders of magnitude decrease in cost. A general perception exists that the only applications of computers and computer methods in biological and biomedical research are either basic statistical analysis or the searching of DNA sequence data bases. While these are important applications they only scratch the surface of the current and potential applications of computers and computer methods in biomedical research. The various chapters within this volume include a wide variety of applications that extend far beyond this limited perception. As part of the Reliable Lab Solutions series, Essential Numerical Computer Methods brings together chapters from volumes 210, 240, 321, 383, 384, 454, and 467 of Methods in Enzymology. These chapters provide a general progression from basic numerical methods to more specific biochemical and biomedical applications. The various chapters within this volume include a wide variety of applications that extend far beyond this limited perception As part of the Reliable Lab Solutions series, Essential Numerical Computer Methods brings together chapters from volumes 210, 240, 321, 383, 384, 454, and 467 of Methods in Enzymology These chapters provide a general progression from basic numerical methods to more specific biochemical and biomedical applications

Computational and Experimental Biomedical Sciences: Methods and Applications

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Publisher : Springer
ISBN 13 : 331915799X
Total Pages : 262 pages
Book Rating : 4.93/5 ( download)

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Book Synopsis Computational and Experimental Biomedical Sciences: Methods and Applications by : João Manuel R. S. Tavares

Download or read book Computational and Experimental Biomedical Sciences: Methods and Applications written by João Manuel R. S. Tavares and published by Springer. This book was released on 2015-03-16 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the full papers presented at ICCEBS 2013 – the 1st International Conference on Computational and Experimental Biomedical Sciences, which was organized in Azores, in October 2013. The included papers present and discuss new trends in those fields, using several methods and techniques, including active shape models, constitutive models, isogeometric elements, genetic algorithms, level sets, material models, neural networks, optimization and the finite element method, in order to address more efficiently different and timely applications involving biofluids, computer simulation, computational biomechanics, image based diagnosis, image processing and analysis, image segmentation, image registration, scaffolds, simulation and surgical planning. The main audience for this book consists of researchers, Ph.D students and graduate students with multidisciplinary interests related to the areas of artificial intelligence, bioengineering, biology, biomechanics, computational fluid dynamics, computational mechanics, computational vision, histology, human motion, imagiology, applied mathematics, medical image, medicine, orthopaedics, rehabilitation, speech production and tissue engineering.