05103nam 22006854a 450 991045872680332120200520144314.01-280-96128-797866109612830-08-047080-7(CKB)1000000000364434(EBL)286720(OCoLC)123418277(SSID)ssj0000212840(PQKBManifestationID)11912168(PQKBTitleCode)TC0000212840(PQKBWorkID)10150591(PQKB)11120018(MiAaPQ)EBC286720(Au-PeEL)EBL286720(CaPaEBR)ebr10167095(CaONFJC)MIL96128(EXLCZ)99100000000036443420050713d2006 uy 0engur|n|---|||||txtccrNumerical methods in biomedical engineering[electronic resource] /Stanley M. Dunn, Alkis Constantinides, Prabhas V. MogheAmsterdam ;Boston Elsevier Academic Pressc20061 online resource (628 p.)Academic Press series in biomedical engineeringDescription based upon print version of record.0-12-374859-3 0-12-186031-0 Includes bibliographical references and index.Front cover; Title page; Copyright page; 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; 1.3.1 A framework for problem solving; 1.3.2 Formulating the mathematical expression of conservation; 1.3.3 Using balance equations; 1.4 Examples of Solving Biomedical Engineering Models by Computer; 1.4.1 Modeling rtPCR efficiency; 1.4.2 Modeling transcranial magnetic stimulation; 1.4.3 Modeling cardiac electrophysiology1.4.4 Using numerical methods to model the response of the cardiovascular system to gravity1.5 Overview of the Text; 1.5.1 Part I: Fundamentals; 1.5.2 Part II: Steady-state behavior (algebraic models); 1.5.3 Part III: Dynamic behavior (differential equations); 1.5.4 Part IV: Modeling tools and applications; 1.6 Lessons Learned in this Chapter; 1.7 Problems; 1.8 References; Chapter 2 Introduction to Computing; 2.1 Introduction; 2.2 The Role of Computers in Biomedical Engineering; 2.3 Programming Language Tools and Techniques; 2.3.1 Sequences of statements; 2.3.2 Conditional execution2.3.3 Iteration2.3.4 Encapsulation; 2.4 Fundamentals of Data Structures for MATLAB; 2.4.1 Number representation; 2.4.2 Arrays; 2.4.3 Characters and strings; 2.4.4 Logical or Boolean data types; 2.4.5 Cells and cell arrays; 2.4.6 Data structures not explicitly found in MATLAB; 2.4.7 Data type conversion; 2.5 An Introduction to Object-Oriented Systems; 2.6 Analyzing Algorithms and Programs; 2.6.1 Polynomial complexity; 2.6.2 Operation counting; 2.7 Lessons Learned in this Chapter; 2.8 Problems; Chapter 3 Concepts of Numerical Analysis; 3.1 Scientific Computing3.2 Numerical Algorithms and Errors3.3 Taylor Series; 3.4 Keeping Errors Small; 3.5 Floating-Point Representation in MATLAB; 3.5.1 The IEEE 754 standard for floating-point representation; 3.5.2 Floating-point arithmetic, truncation, and rounding; 3.5.3 Roundoff error accumulation and cancellation error; 3.6 Lessons Learned in this Chapter; 3.7 Problems; 3.8 References; Part II: Steady-State Behavior; Chapter 4 Linear Models of Biological Systems; 4.1 Introduction; 4.2 Examples of Linear Biological Systems; 4.2.1 Force balance in biomechanics; 4.2.2 Biomedical imaging and image processing5.3 Examples of Nonlinear Equations in Biomedical EngineeringNumerical 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 TeachingAcademic Press series in biomedical engineering.Biomedical engineeringMathematicsBiomedical engineeringMathematical modelsElectronic books.Biomedical engineeringMathematics.Biomedical engineeringMathematical models.610/.28Dunn Stanley Martin876337Constantinides A42414Moghe Prabhas V876338MiAaPQMiAaPQMiAaPQBOOK9910458726803321Numerical methods in biomedical engineering1956983UNINA