ODE PDE Analysis of Antibiotic Antimicrobial Resistance

ODE PDE Analysis of Antibiotic Antimicrobial Resistance
Author: William E. Schiesser
Publsiher: Academic Press
Total Pages: 122
Release: 2020-08-13
Genre: Science
ISBN: 9780128242506

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ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance: Programming in R presents mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs). Sections cover the basic ODE model, the detailed PDE model that gives the spatiotemporal distribution of four dependent variable components, including susceptible bacteria population density, resistant bacteria population density, plasmid number, and antibiotic concentration. The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. As such, formal mathematics is minimized and no theorems and proofs are required. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs that is implemented with finite differences. Routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. Routines can then be applied to variations and extensions of the antibiotic/antimicrobial models, such as changes in the ODE/PDE parameters (constants) and the form of the model equations. Includes PDE routines based on the method of lines (MOL) for computer-based implementation of PDE models Offers transportable computer source codes for readers in R, with line-by-line code descriptions as it relates to mathematical model and algorithms Authored by a leading researcher and educator in PDE models

Spline Collocation Methods for Partial Differential Equations

Spline Collocation Methods for Partial Differential Equations
Author: William E. Schiesser
Publsiher: John Wiley & Sons
Total Pages: 576
Release: 2017-05-22
Genre: MATHEMATICS
ISBN: 9781119301035

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One-dimensional PDEs -- Multidimensional PDEs -- Navier-Stokes, Burgers equations -- Korteweg-deVries equation -- Maxwell equations -- Poisson-Nernst-Planck equations -- Fokker-Planck equation -- Fisher-Kolmogorov equation -- Klein-Gordon equation -- Boussinesq equation -- Cahn-Hilliard equation -- Camassa-Holm equation -- Burgers-Huxley equation -- Gierer-Meinhardt equations -- Keller-Segel equations -- Fitzhugh-Nagumo equations -- Euler-Poisson-Darboux equation -- Kuramoto-Sivashinsky equation -- Einstein-Maxwell equations

Differential Equation Analysis in Biomedical Science and Engineering

Differential Equation Analysis in Biomedical Science and Engineering
Author: William E. Schiesser
Publsiher: John Wiley & Sons
Total Pages: 344
Release: 2014-03-31
Genre: Mathematics
ISBN: 9781118705162

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Features a solid foundation of mathematical and computational tools to formulate and solve real-world PDE problems across various fields With a step-by-step approach to solving partial differential equations (PDEs), Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R successfully applies computational techniques for solving real-world PDE problems that are found in a variety of fields, including chemistry, physics, biology, and physiology. The book provides readers with the necessary knowledge to reproduce and extend the computed numerical solutions and is a valuable resource for dealing with a broad class of linear and nonlinear partial differential equations. The author’s primary focus is on models expressed as systems of PDEs, which generally result from including spatial effects so that the PDE dependent variables are functions of both space and time, unlike ordinary differential equation (ODE) systems that pertain to time only. As such, the book emphasizes details of the numerical algorithms and how the solutions were computed. Featuring computer-based mathematical models for solving real-world problems in the biological and biomedical sciences and engineering, the book also includes: R routines to facilitate the immediate use of computation for solving differential equation problems without having to first learn the basic concepts of numerical analysis and programming for PDEs Models as systems of PDEs and associated initial and boundary conditions with explanations of the associated chemistry, physics, biology, and physiology Numerical solutions of the presented model equations with a discussion of the important features of the solutions Aspects of general PDE computation through various biomedical science and engineering applications Differential Equation Analysis in Biomedical Science and Engineering: Partial Differential Equation Applications with R is an excellent reference for researchers, scientists, clinicians, medical researchers, engineers, statisticians, epidemiologists, and pharmacokineticists who are interested in both clinical applications and interpretation of experimental data with mathematical models in order to efficiently solve the associated differential equations. The book is also useful as a textbook for graduate-level courses in mathematics, biomedical science and engineering, biology, biophysics, biochemistry, medicine, and engineering.

Green Synthesis of Silver Nanomaterials

Green Synthesis of Silver Nanomaterials
Author: Kamel A. Abd-Elsalam
Publsiher: Elsevier
Total Pages: 795
Release: 2021-11-01
Genre: Technology & Engineering
ISBN: 9780128245095

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Green Synthesis of Silver Nanomaterials illustrates how to biologically scale up silver nanoparticle synthesis. This book covers green synthesis of silver nanomaterials, via plants, agricultural waste, fungi, and microorganisms. Sections cover the synthesis and characterization of chemical and green synthesis, various types of silver nanomaterialism, the ability of different fungal species, such as filamentous fungi, to produce silver nanoparticles, the microbial synthesis of silver NMs, biosynthesis mechanisms, toxicity, fate and commercialization. As examples, greener pathways and mechanisms, toxicity of silver nanoparticles in aquatic life and in natural eco-systems, and strategies for the scaling up of green-synthesized nanomaterials are discussed. With the extended work in enhancing nanomaterials synthesis performance, and discovering their biomedical, environmental, and agricultural applications, it is hoped that the execution of these methods on a large scale and their industrial applications in different fields will take place in the near future. Assesses the impact of a large variety of silver-based nanostructures in the biomedical, environmental and agri-food sectors Discusses the major synthesis methods used for effectively processing plant-based silver nanoparticles Outlines the potential and major challenges for adopting green synthesis methods on a mass scale

Ordinary and Partial Differential Equation Routines in C C Fortran Java Maple and MATLAB

Ordinary and Partial Differential Equation Routines in C  C    Fortran  Java  Maple  and MATLAB
Author: H.J. Lee,W.E. Schiesser
Publsiher: CRC Press
Total Pages: 528
Release: 2003-11-24
Genre: Mathematics
ISBN: 9780203010518

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This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin

Waterborne Pathogens

Waterborne Pathogens
Author: M.N.V Prasad,Anna Grobelak
Publsiher: Butterworth-Heinemann
Total Pages: 528
Release: 2020-02-07
Genre: Technology & Engineering
ISBN: 9780128187845

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Waterborne Pathogens: Detection and Treatment delivers the tools and techniques on how to identify these contaminates and apply the most effective technology for their removal and treatment. Written for researchers and practicing professionals, the book starts with a brief, but readable, review of ubiquitous waterborne pathogens (primarily viruses, bacterial and parasitic protozoa). This coverage is followed by an in-depth discussion of the latest detection and treatment technologies, ranging from Biosensors, to Nanoconjugates, Membrane Based Technologies and Nanotechnology Treatment. Engineers and scientist will find this to be a valuable reference on cutting-edge techniques for suppling safe drinking water across the globe. Explains the latest research on detection, treatment processes and remediation technologies Includes sampling, analytical and characterization methods and approaches Covers cutting-edge research, including Membrane Based Technologies, Nanotechnology Treatment Technologies and Bioremediation Treatment Technologies Provides background information regarding contamination sources

Reverse Osmosis

Reverse Osmosis
Author: Fauzi Ismail,Kailash Chandra Khulbe,Takeshi Matsuura
Publsiher: Elsevier
Total Pages: 302
Release: 2018-10-22
Genre: Science
ISBN: 9780128115398

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Reverse Osmosis starts with an overview of the historic development of the RO membrane, the RO process, and its effect on other membrane separation processes. Other chapters cover the development of nanocomposites of TFC membranes and modern membrane characterization techniques, such as TEM, AFM and PALS, the RO membrane transport model, and RO membrane fouling. The book also describes, in detail, experimental methods for setting up RO experiments, RO membrane modules, RO membrane systems, and desalination and water treatment by RO. Applications in food, pharmaceutical, chemical, biochemical, petroleum and petrochemical industries are also summarized. Other sections cover the development of RO membranes with high thermal and chemical stability, attempts to develop polymeric or inorganic membranes, and hybrid processes where RO is combined with forward osmosis (FO) or membrane distillation (MD). Written by renowned experts in the field who have complementary expertise Provides an in-depth discussion of reverse osmosis transport based on nano-level membrane structure Comprehensively reviews recent progresses in novel reverse osmosis membrane development

Non Newtonian Flow

Non Newtonian Flow
Author: R. P. Chhabra,J.F. Richardson
Publsiher: Elsevier
Total Pages: 436
Release: 1999-08-19
Genre: Technology & Engineering
ISBN: 9780080512839

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Non-Newtonian materials are encountered in virtually all of the chemical and process industries and a full understanding of their nature and flow characteristics is an essential requirement for engineers and scientists involved in their formulation and handling. This book will bridge the gap between much of the highly theoretical and mathematically complex work of the rheologist and the practical needs of those who have to design and operate plants in which these materials are handled and processed. At the same time, numerous references are included for the benefit of those who need to delve more deeply into the subject. The starting point for any work on non-newtonian fluids is their characterisation over the range of conditions to which they are likely to be subjected during manufacture or utilisation, and this topic is treated early on in the book in a chapter commissioned from an expert in the field of rheological measurements. Coverage of topics is extensive and this book offers a unique and rich selection of material including the flow of single phase and multiphase mixtures in pipes, in packed and fluidised bed systems, heat and mass transfer in boundary layers and in simple duct flows, and mixing etc. An important and novel feature of the book is the inclusion of a wide selection of worked examples to illustrate the methods of calculation. It also incorporates a large selection of problems for the reader to tackle himself.