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Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R (in English)
William E. Schiesser
(Author)
·
Wiley
· Hardcover
Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R (in English) - Schiesser, William E.
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Origin: United Kingdom
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Synopsis "Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R (in English)"
Models In Biological And Biomedical Sciences Are Normally Presented As A System Of Ordinary Or Partial Differential Equations (Odes / Pdes) Based In The Chemical, Physical, Or Physiological Principles They Are Describing. A Numerical Solution Is Then Presented With A Discussion Of The Important Features Of That Solution. However, This Book Addresses The Fact That The Details Of The Numerical Algorithms And How The Solution Was Computed Are Usually Missing. Most Importantly, The Computer Code For The Numerical Solution Is Not Provided So Readers Cannot Delve Into The Model Itself. Researchers Do Not Have The Time, Interest, Or In Many Instances, The Ability To Sort Through A Lot Of Advanced Mathematical Theory To Develop The Models Needed To Solve Specific Problems. However, This Book Alleviates The Problem Of Forcing Readers To Understand And Program A Model From Theoretical Concepts And Instead Puts Readers On A Path To Solving Real Problems From The Start. 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 Vast Class Of Differential And Nonlinear Algebraic Equations. The Investigated Problems Include Pdes Supplemented With Initial And Boundary Conditions. The Studied Equations Describe A Wide Variety Of Fascinating Phenomena Such As Chemotaxis, Retinal Vasculature, And Many Others. For All Of These Problems, The Author Developed A Valuable Library Of Routines, All Of Which Are Provided Within The Book. Using The Routines, Readers Can Make Their Own Numerical Experiments And Construct Their Own Codes To Solve Many Other Models. In Addition, The Book Features A Collection Of Case Studies, All Of Which Will Be Of Great Interest To The Biomolecular Science And Engineering (Bmse) Fields. 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; Temprtature Distributions In Cryosurgery; Multisection Membrane Separation System; And Origin Of Pdes And Reaction - Diffusion Equations
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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Hardcover.
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