LEADER 05103nam 22006854a 450 001 9910458726803321 005 20200520144314.0 010 $a1-280-96128-7 010 $a9786610961283 010 $a0-08-047080-7 035 $a(CKB)1000000000364434 035 $a(EBL)286720 035 $a(OCoLC)123418277 035 $a(SSID)ssj0000212840 035 $a(PQKBManifestationID)11912168 035 $a(PQKBTitleCode)TC0000212840 035 $a(PQKBWorkID)10150591 035 $a(PQKB)11120018 035 $a(MiAaPQ)EBC286720 035 $a(Au-PeEL)EBL286720 035 $a(CaPaEBR)ebr10167095 035 $a(CaONFJC)MIL96128 035 $a(EXLCZ)991000000000364434 100 $a20050713d2006 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aNumerical methods in biomedical engineering$b[electronic resource] /$fStanley M. Dunn, Alkis Constantinides, Prabhas V. Moghe 210 $aAmsterdam ;$aBoston $cElsevier Academic Press$dc2006 215 $a1 online resource (628 p.) 225 1 $aAcademic Press series in biomedical engineering 300 $aDescription based upon print version of record. 311 $a0-12-374859-3 311 $a0-12-186031-0 320 $aIncludes bibliographical references and index. 327 $aFront 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 electrophysiology 327 $a1.4.4 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 execution 327 $a2.3.3 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 Computing 327 $a3.2 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 processing 327 $a5.3 Examples of Nonlinear Equations in Biomedical Engineering 330 $aNumerical Modeling in Biomedical Engineering brings together the integrative set of computational problem solving tools important to biomedical engineers. Through the use of comprehensive homework exercises, relevant examples and extensive case studies, this book integrates principles and techniques of numerical analysis. Covering biomechanical phenomena and physiologic, cell and molecular systems, this is an essential tool for students and all those studying biomedical transport, biomedical thermodynamics & kinetics and biomechanics.· Supported by Whitaker Foundation Teaching 410 0$aAcademic Press series in biomedical engineering. 606 $aBiomedical engineering$xMathematics 606 $aBiomedical engineering$xMathematical models 608 $aElectronic books. 615 0$aBiomedical engineering$xMathematics. 615 0$aBiomedical engineering$xMathematical models. 676 $a610/.28 701 $aDunn$b Stanley Martin$0876337 701 $aConstantinides$b A$042414 701 $aMoghe$b Prabhas V$0876338 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910458726803321 996 $aNumerical methods in biomedical engineering$91956983 997 $aUNINA