Titre :	Numerical methods in biomedical engineering
Type de document :	texte imprimé
Auteurs :	Stanley M. Dunn, Auteur ; Alkis Constantinides, Auteur ; Prabhas V. Moghe, Auteur
Editeur :	Amsterdam,Boston,Heidelberg... : Elsevier Academic Press
Année de publication :	2006
Collection :	Academic Press Series in Biomedical Engineering
Importance :	615 p.
Présentation :	couv. ill. en coul., ill.
Format :	24,7 cm.
ISBN/ISSN/EAN :	978-0-12-186031-8
Langues :	Anglais (eng)
Catégories :	GÉNIE BIOMÉDICAL
Index. décimale :	35-04 Modélisation des systèmes physiologiques
Résumé :	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 · MATLAB problem sets and examples available electronically; UNIX, Windows, Mac OS compatible · Extensive hands-on homework exercises
Note de contenu :	Table of contents Preface Organization and Outline of the Book Part I: Fundamentals Chapter 1 Modeling Biosystems 1.1 Biomedical Engineering 1.2 Fundamental Aspects of Biomedical Engineering 1.3 Constructing Engineering Models 1.4 Examples of Solving Biomedical Engineering Models by Computer 1.5 Overview of the Text 1.6 Lessons Learned in this Chapter 1.7 Problems Chapter 2 Introduction to Computing 2.1 Introduction 2.2 The Role of Computers in Biomedical Engineering 2.3 Programming Language Tools and Techniques 2.4 Fundamentals of Data Structures for MATLAB 2.5 An Introduction to Object-Oriented Systems 2.6 Analyzing Algorithms and Programs Chapter 3 Concepts of Numerical Analysis 3.1 Scientific Computing 3.2 Numerical Algorithms and Errors 3.3 Taylor Series 3.4 Keeping Errors Small 3.5 Floating-Point Representation in MATLAB Part II: Steady-State Behavior Chapter 4 Linear Models of Biological Systems 4.2 Examples of Linear Biological Systems 4.3 Simultaneous Linear Algebraic Equations 4.4 The Gauss-Jordan Reduction Method 4.5 Iterative Approach for Solution of Linear Systems Chapter 5 Nonlinear Equations in Biomedical Engineering 5.2 General Form of Nonlinear Equations 5.3 Examples of Nonlinear Equations in Biomedical Engineering 5.4 The Method of Successive Substitution 5.5 The Method of False Position (Linear Interpolation) 5.6 The Newton-Raphson Method 5.7 Newton’s Method for Simultaneous Nonlinear Equations Part III: Dynamic Behavior Chapter 6 Finite Difference Methods, Interpolation and Integration 6.2 Symbolic Operators 6.3 Backward Finite Differences 6.4 Forward Finite Differences 6.5 Central Finite Differences 6.6 Interpolating Polynomials 6.7 Interpolation of Equally Spaced Points 6.8 Interpolation of Unequally Spaced Points 6.9 Integration Formulas 6.10 The Newton-Cotes Formulas of Integration Chapter 7 Dynamic Systems: Ordinary Differential Equations 7.2 Classification of Ordinary Differential Equations 7.3 Transformation to Canonical Form 7.4 Nonlinear Ordinary Differential Equations 7.5 Linear Ordinary Differential Equations 7.6 Steady-State Solutions and Stability Analysis 7.7 Numerical Stability and Error Propagation 7.8 Advanced Examples Chapter 8 Dynamic Systems: Partial Differential Equations 8.2 Examples of PDEs in Biomedical Engineering 8.3 Classification of Partial Differential Equations 8.4 Initial and Boundary Conditions 8.5 Solution of Partial Differential Equations 8.6 Polar Coordinate Systems 8.7 Stability Analysis 8.8 PDE Toolbox in MATLAB Part IV: Modeling Tools and Applications Chapter 9 Measurements, Models and Statistics 9.1 The Role of Numerical Methods 9.2 Measurements, Errors and Uncertainty 9.3 Descriptive Statistics 9.4 Inferential Statistics 9.5 Least Squares Modeling 9.6 Curve Fitting 9.7 Fourier Transforms Chapter 10 Modeling Biosystems 10.1 Numerical Modeling of Bioengineering Systems 10.2 PhysioNet, PhysioBank, and PhysioToolkit 10.2.1 ECG simulation 10.3 Signal Processing: EEG Data 10.4 Diabetes and Insulin Regulation 10.5 Renal Clearance 10.6 Correspondence Problems and Motion Estimation 10.7 PHYSBE Simulations Appendices Appendix A: Introduction to MATLAB Appendix B: Introduction to Simulink Appendix C: Review of Linear Algebra and Related MATLAB Commands Appendix D: Analytical Solutions of Differential Equations Appendix E: Numerical Stability and Other Topics Index

Numerical methods in biomedical engineering [texte imprimé] / Stanley M. Dunn, Auteur ; Alkis Constantinides, Auteur ; Prabhas V. Moghe, Auteur . - Amsterdam,Boston,Heidelberg... : Elsevier Academic Press, 2006 . - 615 p. : couv. ill. en coul., ill. ; 24,7 cm.. - (Academic Press Series in Biomedical Engineering) .
ISBN : 978-0-12-186031-8
Langues : Anglais (eng)

Catégories :	GÉNIE BIOMÉDICAL
Index. décimale :	35-04 Modélisation des systèmes physiologiques
Résumé :	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 · MATLAB problem sets and examples available electronically; UNIX, Windows, Mac OS compatible · Extensive hands-on homework exercises
Note de contenu :	Table of contents Preface Organization and Outline of the Book Part I: Fundamentals Chapter 1 Modeling Biosystems 1.1 Biomedical Engineering 1.2 Fundamental Aspects of Biomedical Engineering 1.3 Constructing Engineering Models 1.4 Examples of Solving Biomedical Engineering Models by Computer 1.5 Overview of the Text 1.6 Lessons Learned in this Chapter 1.7 Problems Chapter 2 Introduction to Computing 2.1 Introduction 2.2 The Role of Computers in Biomedical Engineering 2.3 Programming Language Tools and Techniques 2.4 Fundamentals of Data Structures for MATLAB 2.5 An Introduction to Object-Oriented Systems 2.6 Analyzing Algorithms and Programs Chapter 3 Concepts of Numerical Analysis 3.1 Scientific Computing 3.2 Numerical Algorithms and Errors 3.3 Taylor Series 3.4 Keeping Errors Small 3.5 Floating-Point Representation in MATLAB Part II: Steady-State Behavior Chapter 4 Linear Models of Biological Systems 4.2 Examples of Linear Biological Systems 4.3 Simultaneous Linear Algebraic Equations 4.4 The Gauss-Jordan Reduction Method 4.5 Iterative Approach for Solution of Linear Systems Chapter 5 Nonlinear Equations in Biomedical Engineering 5.2 General Form of Nonlinear Equations 5.3 Examples of Nonlinear Equations in Biomedical Engineering 5.4 The Method of Successive Substitution 5.5 The Method of False Position (Linear Interpolation) 5.6 The Newton-Raphson Method 5.7 Newton’s Method for Simultaneous Nonlinear Equations Part III: Dynamic Behavior Chapter 6 Finite Difference Methods, Interpolation and Integration 6.2 Symbolic Operators 6.3 Backward Finite Differences 6.4 Forward Finite Differences 6.5 Central Finite Differences 6.6 Interpolating Polynomials 6.7 Interpolation of Equally Spaced Points 6.8 Interpolation of Unequally Spaced Points 6.9 Integration Formulas 6.10 The Newton-Cotes Formulas of Integration Chapter 7 Dynamic Systems: Ordinary Differential Equations 7.2 Classification of Ordinary Differential Equations 7.3 Transformation to Canonical Form 7.4 Nonlinear Ordinary Differential Equations 7.5 Linear Ordinary Differential Equations 7.6 Steady-State Solutions and Stability Analysis 7.7 Numerical Stability and Error Propagation 7.8 Advanced Examples Chapter 8 Dynamic Systems: Partial Differential Equations 8.2 Examples of PDEs in Biomedical Engineering 8.3 Classification of Partial Differential Equations 8.4 Initial and Boundary Conditions 8.5 Solution of Partial Differential Equations 8.6 Polar Coordinate Systems 8.7 Stability Analysis 8.8 PDE Toolbox in MATLAB Part IV: Modeling Tools and Applications Chapter 9 Measurements, Models and Statistics 9.1 The Role of Numerical Methods 9.2 Measurements, Errors and Uncertainty 9.3 Descriptive Statistics 9.4 Inferential Statistics 9.5 Least Squares Modeling 9.6 Curve Fitting 9.7 Fourier Transforms Chapter 10 Modeling Biosystems 10.1 Numerical Modeling of Bioengineering Systems 10.2 PhysioNet, PhysioBank, and PhysioToolkit 10.2.1 ECG simulation 10.3 Signal Processing: EEG Data 10.4 Diabetes and Insulin Regulation 10.5 Renal Clearance 10.6 Correspondence Problems and Motion Estimation 10.7 PHYSBE Simulations Appendices Appendix A: Introduction to MATLAB Appendix B: Introduction to Simulink Appendix C: Review of Linear Algebra and Related MATLAB Commands Appendix D: Analytical Solutions of Differential Equations Appendix E: Numerical Stability and Other Topics Index