Differential Equation Analysis In Biomedical Science And Engineering

Download Differential Equation Analysis In Biomedical Science And Engineering full books in PDF, epub, and Kindle. Read online Differential Equation Analysis In Biomedical Science And Engineering ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Differential Equation Analysis in Biomedical Science and Engineering

Author : William E. Schiesser
Publisher : John Wiley & Sons
ISBN 13 : 1118705165
Total Pages : 280 pages
Book Rating : 4.1/5 (187 download)

DOWNLOAD NOW!

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.

Differential Equation Analysis in Biomedical Science and Engineering

Author : William E. Schiesser
Publisher : John Wiley & Sons
ISBN 13 : 1118705238
Total Pages : 346 pages
Book Rating : 4.1/5 (187 download)

DOWNLOAD NOW!

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.

Partial Differential Equation Analysis in Biomedical Engineering

Author : W. E. Schiesser
Publisher : Cambridge University Press
ISBN 13 : 1107022800
Total Pages : 433 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equation Analysis in Biomedical Engineering by : W. E. Schiesser

Download or read book Partial Differential Equation Analysis in Biomedical Engineering written by W. E. Schiesser and published by Cambridge University Press. This book was released on 2013 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives graduate students and researchers an introductory overview of partial differential equation analysis of biomedical engineering systems through detailed examples.

Time Delay ODE/PDE Models

Author : W.E. Schiesser
Publisher : CRC Press
ISBN 13 : 1000763617
Total Pages : 251 pages
Book Rating : 4.0/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Time Delay ODE/PDE Models by : W.E. Schiesser

Download or read book Time Delay ODE/PDE Models written by W.E. Schiesser and published by CRC Press. This book was released on 2019-11-25 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time delayed (lagged) variables are an inherent feature of biological/physiological systems. For example, infection from a disease may at first be asymptomatic, and only after a delay is the infection apparent so that treatment can begin.Thus, to adequately describe physiological systems, time delays are frequently required and must be included in the equations of mathematical models. The intent of this book is to present a methodology for the formulation and computer implementation of mathematical models based on time delay ordinary differential equations (DODEs) and partial differential equations (DPDEs). The DODE/DPDE methodology is presented through a series of example applications, particularly in biomedical science and engineering (BMSE). The computer-based implementation of the example models is explained with routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The DPDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The example applications can first be executed to confirm the reported solutions, then extended by variation of the parameters and the equation terms, and even the forumulation and use of alternative DODE/DPDE models. • Introduces time delay ordinary and partial differential equations (DODE/DPDEs) and their numerical computer-based integration (solution) • Illustrates the computer implementation of DODE/DPDE models with coding (programming) in R, a quality, open-source scientific programming system readily available from the Internet • Applies DODE/DPDE models to biological/physiological systems through a series of examples • Provides the R routines for all of the illustrative applications through a download link • Facilitates the use of the models with reasonable time and effort on modest computers

Ordinary Differential Equations for Engineers

Author : Ali Ümit Keskin
Publisher : Springer
ISBN 13 : 3319952439
Total Pages : 791 pages
Book Rating : 4.3/5 (199 download)

DOWNLOAD NOW!

Book Synopsis Ordinary Differential Equations for Engineers by : Ali Ümit Keskin

Download or read book Ordinary Differential Equations for Engineers written by Ali Ümit Keskin and published by Springer. This book was released on 2018-09-01 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.

A Compendium of Partial Differential Equation Models

Author : William E. Schiesser
Publisher : Cambridge University Press
ISBN 13 : 0521519861
Total Pages : 491 pages
Book Rating : 4.5/5 (215 download)

DOWNLOAD NOW!

Book Synopsis A Compendium of Partial Differential Equation Models by : William E. Schiesser

Download or read book A Compendium of Partial Differential Equation Models written by William E. Schiesser and published by Cambridge University Press. This book was released on 2009-03-16 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.

Differential Equations for Engineers

Author : Wei-Chau Xie
Publisher : Cambridge University Press
ISBN 13 : 1139488163
Total Pages : 567 pages
Book Rating : 4.1/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations for Engineers by : Wei-Chau Xie

Download or read book Differential Equations for Engineers written by Wei-Chau Xie and published by Cambridge University Press. This book was released on 2010-04-26 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.

Method of Lines PDE Analysis in Biomedical Science and Engineering

Author : William E. Schiesser
Publisher : John Wiley & Sons
ISBN 13 : 1119130514
Total Pages : 413 pages
Book Rating : 4.1/5 (191 download)

DOWNLOAD NOW!

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 2016-04-13 with total page 413 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.

Partial Differential Equation Analysis in Biomedical Engineering

Author : W. E. Schiesser
Publisher :
ISBN 13 : 9781139517973
Total Pages : 434 pages
Book Rating : 4.5/5 (179 download)

DOWNLOAD NOW!

Book Synopsis Partial Differential Equation Analysis in Biomedical Engineering by : W. E. Schiesser

Download or read book Partial Differential Equation Analysis in Biomedical Engineering written by W. E. Schiesser and published by . This book was released on 2013 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives graduate students and researchers an introductory overview of partial differential equation analysis of biomedical engineering systems through detailed examples.

Mathematical Modelling in Biomedicine

Author : Y. Cherruault
Publisher : Springer Science & Business Media
ISBN 13 : 9789027721495
Total Pages : 286 pages
Book Rating : 4.7/5 (214 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Modelling in Biomedicine by : Y. Cherruault

Download or read book Mathematical Modelling in Biomedicine written by Y. Cherruault and published by Springer Science & Business Media. This book was released on 1986-02-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. It end and begin with the answers. Then is that they can't see the problem. one day, perhaps you will find the final question. G.K. Chesterton. The Scandal of Father Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Numerical Methods in Biomedical Engineering

Author : Stanley Dunn
Publisher : Elsevier
ISBN 13 : 0080470807
Total Pages : 628 pages
Book Rating : 4.0/5 (84 download)

DOWNLOAD NOW!

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 628 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

Scaling of Differential Equations

Author : Hans Petter Langtangen
Publisher : Springer
ISBN 13 : 3319327267
Total Pages : 149 pages
Book Rating : 4.3/5 (193 download)

DOWNLOAD NOW!

Book Synopsis Scaling of Differential Equations by : Hans Petter Langtangen

Download or read book Scaling of Differential Equations written by Hans Petter Langtangen and published by Springer. This book was released on 2016-06-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations.

Differential Equations for Engineers and Scientists

Author : C.G. Lambe
Publisher : Courier Dover Publications
ISBN 13 : 0486831345
Total Pages : 385 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!

Book Synopsis Differential Equations for Engineers and Scientists by : C.G. Lambe

Download or read book Differential Equations for Engineers and Scientists written by C.G. Lambe and published by Courier Dover Publications. This book was released on 2018-06-13 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, applications-oriented undergraduate text covers solutions of first-order equations, linear equations with constant coefficients, simultaneous equations, theory of nonlinear differential equations, much more. Nearly 900 worked examples, exercises, solutions. 1961 edition.

Feedback Systems

Author : Karl Johan Åström
Publisher : Princeton University Press
ISBN 13 : 069121347X
Total Pages : pages
Book Rating : 4.6/5 (912 download)

DOWNLOAD NOW!

Book Synopsis Feedback Systems by : Karl Johan Åström

Download or read book Feedback Systems written by Karl Johan Åström and published by Princeton University Press. This book was released on 2021-02-02 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The essential introduction to the principles and applications of feedback systems—now fully revised and expanded This textbook covers the mathematics needed to model, analyze, and design feedback systems. Now more user-friendly than ever, this revised and expanded edition of Feedback Systems is a one-volume resource for students and researchers in mathematics and engineering. It has applications across a range of disciplines that utilize feedback in physical, biological, information, and economic systems. Karl Åström and Richard Murray use techniques from physics, computer science, and operations research to introduce control-oriented modeling. They begin with state space tools for analysis and design, including stability of solutions, Lyapunov functions, reachability, state feedback observability, and estimators. The matrix exponential plays a central role in the analysis of linear control systems, allowing a concise development of many of the key concepts for this class of models. Åström and Murray then develop and explain tools in the frequency domain, including transfer functions, Nyquist analysis, PID control, frequency domain design, and robustness. Features a new chapter on design principles and tools, illustrating the types of problems that can be solved using feedback Includes a new chapter on fundamental limits and new material on the Routh-Hurwitz criterion and root locus plots Provides exercises at the end of every chapter Comes with an electronic solutions manual An ideal textbook for undergraduate and graduate students Indispensable for researchers seeking a self-contained resource on control theory

Chemical and Biomedical Engineering Calculations Using Python

Author : Jeffrey J. Heys
Publisher : John Wiley & Sons
ISBN 13 : 1119267064
Total Pages : 278 pages
Book Rating : 4.1/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Chemical and Biomedical Engineering Calculations Using Python by : Jeffrey J. Heys

Download or read book Chemical and Biomedical Engineering Calculations Using Python written by Jeffrey J. Heys and published by John Wiley & Sons. This book was released on 2017-01-10 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents standard numerical approaches for solving common mathematical problems in engineering using Python. Covers the most common numerical calculations used by engineering students Covers Numerical Differentiation and Integration, Initial Value Problems, Boundary Value Problems, and Partial Differential Equations Focuses on open ended, real world problems that require students to write a short report/memo as part of the solution process Includes an electronic download of the Python codes presented in the book

Differential Equation Analysis Set

Author : William E. Schiesser
Publisher : Wiley
ISBN 13 : 9781118775257
Total Pages : 0 pages
Book Rating : 4.7/5 (752 download)

DOWNLOAD NOW!

Book Synopsis Differential Equation Analysis Set by : William E. Schiesser

Download or read book Differential Equation Analysis Set written by William E. Schiesser and published by Wiley. This book was released on 2014-05-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Included in this set: Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R With the needed mathematical and computational tools, this book provides a solid foundation in formulating and solving real-world PDE problems in various fields from applied mathematics, engineering, and computer science to biology and medicine, includes supporting documentation and step-by-step guidance, and features R codes that can be easily and conveniently used by readers. Topical coverage includes: introduction to PDEs and chemotaxis; pattern formation; Belousov-Zhabotinskii reaction system; Hodgkin-Huxley and Fitzhugh-Nagumo models; spatiotemporal effects of anesthesia during surgery; developing retinal vasculature; temperature distributions in cryosurgery; multisection membrane separation system; and origin of PDE reaction-diffusion equations. Differential Equation Analysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R This book provides readers with the necessary knowledge to reproduce and extend the numerical solutions with reasonable effort and is a valuable resource dealing with a broad class of differential and nonlinear algebraic equations. The investigated problems include ODEs and associated initial conditions. The studied equations describe a wide variety of basic phenomena such as apoptosis, stem cell differentiation, and many others. Topical coverage includes: introduction to ODE analysis and bioreactor dynamics; diabetes glucose tolerance test; apoptosis; dynamic neuron model; stem cell differentiation; acetylcholine neurocycle; tuberculosis with differential infectivity; corneal curvature; and stiff ODE integration.

Transport Phenomena in Biomedical Engineering: Artifical organ Design and Development, and Tissue Engineering

Author : Kal Renganathan Sharma
Publisher : McGraw Hill Professional
ISBN 13 : 0071663983
Total Pages : 510 pages
Book Rating : 4.0/5 (716 download)

DOWNLOAD NOW!

Book Synopsis Transport Phenomena in Biomedical Engineering: Artifical organ Design and Development, and Tissue Engineering by : Kal Renganathan Sharma

Download or read book Transport Phenomena in Biomedical Engineering: Artifical organ Design and Development, and Tissue Engineering written by Kal Renganathan Sharma and published by McGraw Hill Professional. This book was released on 2010-07-21 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Cutting-Edge Guide to Applying Transport Phenomena Principles to Bioengineering Systems Transport Phenomena in Biomedical Engineering: Artificial Order Design and Development and Tissue Engineering explains how to apply the equations of continuity, momentum, energy, and mass to human anatomical systems. This authoritative resource presents solutions along with term-by-term medical significance. Worked exercises illustrate the equations derived, and detailed case studies highlight real-world examples of artificial organ design and human tissue engineering. Coverage includes: Fundamentals of fluid mechanics and principles of molecular diffusion Osmotic pressure, solvent permeability, and solute transport Rheology of blood and transport Gas transport Pharmacokinetics Tissue design Bioartificial organ design and immunoisolation Bioheat transport 541 end-of-chapter exercises and review questions 106 illustrations 1,469 equations derived from first principles