ODE PDE Analysis of Antibiotic Antimicrobial Resistance

Written By William E. Schiesser
ODE PDE Analysis of Antibiotic Antimicrobial Resistance
  • Publsiher : Academic Press
  • Release : 24 August 2020
  • ISBN : 0128242507
  • Pages : 122 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled ODE PDE Analysis of Antibiotic Antimicrobial Resistance written by William E. Schiesser which was release on 24 August 2020, this book published by Academic Press. Available in PDF, EPUB and Kindle Format. Book excerpt: Mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed PDE model in Chapters 4 and 5 that gives the spatiotemporal distribution of four dependent variable components: (1) susceptible bacteria population density, (2) resistant bacteria population density, (3) plasmid number, and (4) 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. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The 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. The 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 the 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 Date : 2020-08-24
  • Total pages : 122
  • ISBN : 0128242507
GET BOOK

Summary : Mathematical models for antibiotic/antimicrobial resistance based on ordinary and partial differential equations (ODE/PDEs) are presented in this book, starting with a basic ODE model in Chapter 1, and concluding with a detailed PDE model in Chapters 4 and 5 that gives the spatiotemporal distribution of four dependent variable components: (1) susceptible bacteria ...