Differential Equation Analysis Set - Hardcover

Schiesser, William E.

Hardcover

ISBN 10: 1118775252 ISBN 13: 9781118775257

Verlag: John Wiley & Sons Inc, 2014

Inhaltsangabe

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.

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Reseña del editor

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.

Biografía del autor

William E. Schiesser is Emeritus McCann Professor of Computational Biomedical Engineering and Chemical and Biomolecular Engineering at Lehigh University.

Über diese Auflage

• Verlag: John Wiley & Sons Inc
• Erscheinungsdatum: 2014
• ISBN 10: 1118775252
• ISBN 13: 9781118775257
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 784