{"product_id":"9781119130482","title":"Method of Lines PDE Analysis in Biomedical Science and Engineering","description":"\u003ch1\u003eMethod of Lines PDE Analysis in Biomedical Science and Engineering\u003c\/h1\u003e\u003ch3\u003eWilliam E. Schiesser\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003e\u003cb\u003ePresents the methodology and applications of\u003c\/b\u003e \u003cb\u003eODE and PDE models within biomedical science and engineering \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eWith an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration\u003ci\u003e, Method of Lines PDE Analysis in Biomedical Science and Engineering \u003c\/i\u003edemonstrates the use of numerical methods for the computer solution of PDEs as applied to biomedical science and engineering (BMSE). Written by a well-known researcher in the field, the book provides an introduction to basic numerical methods for initial\/boundary value PDEs before moving on to specific BMSE applications of PDEs.\u003c\/p\u003e \u003cp\u003eFeaturing a straightforward approach, the book’s chapters follow a consistent and comprehensive format. First, each chapter begins by presenting the model as an ordinary differential equation (ODE)\/PDE system, including the initial and boundary conditions.  Next, the programming of the model equations is introduced through a series of R routines that primarily implement MOL for PDEs. Subsequently, the resulting numerical and graphical solution is discussed and interpreted with respect to the model equations. Finally, each chapter concludes with a review of the numerical algorithm performance, general observations and results, and possible extensions of the model. \u003ci\u003eMethod of Lines PDE Analysis in Biomedical Science and Engineering\u003c\/i\u003e also includes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eExamples of MOL analysis of PDEs, including BMSE applications in wave front resolution in chromatography, VEGF angiogenesis, thermographic tumor location, blood-tissue transport, two fluid and membrane mass transfer, artificial liver support system, cross diffusion epidemiology, oncolytic virotherapy, tumor cell density in glioblastomas, and variable grids\u003c\/li\u003e \u003cli\u003eDiscussions on the use of R software, which facilitates immediate solutions to differential equation problems without having to first learn the basic concepts of numerical analysis for PDEs and the programming of PDE algorithms\u003c\/li\u003e \u003cli\u003eA companion website that provides source code for the R routines\u003c\/li\u003e \u003c\/ul\u003e \u003ci\u003eMethod of Lines PDE Analysis in Biomedical Science and Engineering\u003c\/i\u003e is an introductory reference for researchers, scientists, clinicians, medical researchers, mathematicians, statisticians, chemical engineers, epidemiologists, and pharmacokineticists as well as anyone interested in clinical applications and the interpretation of experimental data with differential equation models. The book is also an ideal textbook for graduate-level courses in applied mathematics, BMSE, biology, biophysics, biochemistry, medicine, and engineering.\u003c\/div\u003e\u003cdiv\u003e \u003cb\u003eWilliam E. Schiesser, PhD, ScD (hon.)\u003c\/b\u003e, is Emeritus McCann Professor of Biomolecular and Chemical Engineering and Professor of Mathematics at Lehigh University. His research interests include numerical software; ordinary, differential algebraic, and partial differential equations; and computational mathematics. Dr. Schiesser is the author or coauthor of fifteen books, including \u003ci\u003eDifferential Equation \u003c\/i\u003e\u003ci\u003eAnalysis in Biomedical Science and Engineering: Ordinary Differential Equation Applications with R\u003c\/i\u003e and \u003ci\u003eDifferential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation\u003c\/i\u003e \u003ci\u003eApplications with R\u003c\/i\u003e, both published by Wiley.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e18 April 2016\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9781119130482\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e370\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e23.2\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44380383281292,"sku":"9781119130482","price":119.65,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781119130482_a55feb20-753b-4694-873a-0822a381bb30.jpg?v=1780105139","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781119130482","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}