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ODE PDE Analysis of Antibiotic Antimicrobial Resistance

ODE PDE Analysis of Antibiotic Antimicrobial Resistance
  • Author : William E. Schiesser
  • Publsiher : Academic Press
  • Release : 13 August 2020
  • ISBN : 0128242507
  • Pages : 122 pages
  • Rating : 4/5 from 21 ratings
GET THIS BOOKODE PDE Analysis of Antibiotic Antimicrobial Resistance

Summary:
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


ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance
  • Author : William E. Schiesser
  • Publisher : Academic Press
  • Release : 13 August 2020
GET THIS BOOKODE/PDE Analysis of Antibiotic/Antimicrobial Resistance

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

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Spline Collocation Methods for Partial Differential Equations

Spline Collocation Methods for Partial Differential Equations
  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release : 22 May 2017
GET THIS BOOKSpline Collocation Methods for Partial Differential Equations

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

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Differential Equation Analysis in Biomedical Science and Engineering

Differential Equation Analysis in Biomedical Science and Engineering
  • Author : William E. Schiesser
  • Publisher : John Wiley & Sons
  • Release : 31 March 2014
GET THIS BOOKDifferential Equation Analysis in Biomedical Science and Engineering

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

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Green Synthesis of Silver Nanomaterials

Green Synthesis of Silver Nanomaterials
  • Author : Kamel A. Abd-Elsalam
  • Publisher : Elsevier
  • Release : 01 November 2021
GET THIS BOOKGreen Synthesis of Silver Nanomaterials

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

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Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming

Computational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming
  • Author : William E Schiesser
  • Publisher : World Scientific
  • Release : 16 June 2020
GET THIS BOOKComputational Modeling Of The Covid-19 Disease: Numerical Ode Analysis With R Programming

The book is intended for readers who are interested in learning about the use of computer-based modelling of the COVID-19 disease. It provides a basic introduction to a five-ordinary differential equation (ODE) model by providing a complete statement of the model, including a detailed discussion of the ODEs, initial conditions and parameters, followed by a line-by-line explanation of a set of R routines (R is a quality, scientific programming system readily available from the Internet). The reader can access and

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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
  • Publisher : CRC Press
  • Release : 24 November 2003
GET THIS BOOKOrdinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB

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

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Waterborne Pathogens

Waterborne Pathogens
  • Author : M.N.V Prasad,Anna Grobelak
  • Publisher : Butterworth-Heinemann
  • Release : 07 February 2020
GET THIS BOOKWaterborne Pathogens

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

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The Numerical Method of Lines

The Numerical Method of Lines
  • Author : William E. Schiesser
  • Publisher : Elsevier
  • Release : 27 July 2012
GET THIS BOOKThe Numerical Method of Lines

This is the first book on the numerical method of lines, a relatively new method for solving partial differential equations. The Numerical Method of Lines is also the first book to accommodate all major classes of partial differential equations. This is essentially an applications book for computer scientists. The author will separately offer a disk of FORTRAN 77 programs with 250 specific applications, ranging from "Shuttle Launch Simulation" to "Temperature Control of a Nuclear Fuel Rod."

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Comprehensive Nanoscience and Nanotechnology

Comprehensive Nanoscience and Nanotechnology
  • Author : Anonim
  • Publisher : Academic Press
  • Release : 02 January 2019
GET THIS BOOKComprehensive Nanoscience and Nanotechnology

Comprehensive Nanoscience and Technology, Second Edition allows researchers to navigate a very diverse, interdisciplinary and rapidly-changing field with up-to-date, comprehensive and authoritative coverage of every aspect of modern nanoscience and nanotechnology. Presents new chapters on the latest developments in the field Covers topics not discussed to this degree of detail in other works, such as biological devices and applications of nanotechnology Compiled and written by top international authorities in the field

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Traveling Wave Analysis of Partial Differential Equations

Traveling Wave Analysis of Partial Differential Equations
  • Author : Graham Griffiths,William E. Schiesser
  • Publisher : Academic Press
  • Release : 09 December 2010
GET THIS BOOKTraveling Wave Analysis of Partial Differential Equations

Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of

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Reverse Osmosis

Reverse Osmosis
  • Author : Fauzi Ismail,Kailash Chandra Khulbe,Takeshi Matsuura
  • Publisher : Elsevier
  • Release : 22 October 2018
GET THIS BOOKReverse Osmosis

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

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Nanobiomaterials in Hard Tissue Engineering

Nanobiomaterials in Hard Tissue Engineering
  • Author : Alexandru Grumezescu
  • Publisher : William Andrew
  • Release : 10 February 2016
GET THIS BOOKNanobiomaterials in Hard Tissue Engineering

Nanobiomaterials in Hard Tissue Engineering covers the latest developments in the field of hard tissue engineering at the nanoscale. Leading researchers from around the world discuss the latest research and offer new insights. This book presents data about the fabrication and characterization of nanobiomaterials involved in hard tissue reconstruction, describing recent progress and the advantages of both conventional and computer-aided methods. Recent applications of different classes of nanobiomaterials are discussed, with in vitro and in vivo applications also explained in

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Non-Newtonian Flow

Non-Newtonian Flow
  • Author : R. P. Chhabra,J.F. Richardson
  • Publisher : Elsevier
  • Release : 19 August 1999
GET THIS BOOKNon-Newtonian Flow

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

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