inter professional hospital quality impact of biomedical engineering

Presents the methodology and applications of ODE and PDE models within biomedical science and engineering With an emphasis on the method of lines (MOL) for partial differential equation (PDE) numerical integration, Method of Lines PDE Analysis in Biomedical Science and Engineering demonstrates 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. Featuring 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. Method of Lines PDE Analysis in Biomedical Science and Engineering also includes: Examples 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 Discussions 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 A companion website that provides source code for the R routines Method of Lines PDE Analysis in Biomedical Science and Engineering 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.



Что искали на сайте
кружка printio пионы | dsquared2 пляжные брюки и шорты | cs 12 24 in s hook s hook not include pot | 110cm wide wedding dress lace embroidery diy women clothes materials clothing fabric accessories ivory white church happy hour | printio soviet tank | faux pearl espadrille flatform sliders | linux® administrator street smarts | best deal quartz watch women fashion tower pattern diamond dial watches men faux leather watch women s dress clock montre relo | 14pcs set stainless steel dumplings wrappers cutter maker tools cake moulds mousse ring round stainless steel cookie molds set | брюки fiorella rubino fiorella rubino fi013ewbeeg7 | cute resin bride and bridegroom toy doll | резиновые сапоги playtoday playtoday mp002xg006pn | autumn summer new women shirt dress long sleeved female dresses slim fashion party office lady sundress plus size casual rob | 350a 500a gas welding gun shunt connecting rod insulation cover bent pipe nozzle gas welding gun accessories welder gun parts | creative fun cheese snacks pu pocketbook coin bag girls purse small canvas purse cat coin purse | len deighton spy line | лампа энергосберегающая tdm sq0323 0054 | motorcycle atv riding scooter driving flying protective frame clear lens portable vintage helmet goggles glasses for 2009 buell xb12r | skeleton skull head silicone chocolate muffin cupcake candy ice cube mold halloween | issey miyake l eau d issey pour homme summer edition eau de toilette | macarons ceiling lamps rose colors metal lamp body acrylic lamp shade colorful post modern ceiling light led lighting fixture | батарейка perfeo алкалиновая pf lr6 4sh | кеды y | deadly animals | the shining |