ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance: A Comprehensive Guide

Written by renowned researcher and educator William E. Schiesser, this book presents a thorough exploration of mathematical models for antibiotic/antimicrobial resistance using ordinary and partial differential equations (ODE/PDEs). The comprehensive guide covers the fundamentals of ODE models and delves into the detailed PDE model, providing the spatiotemporal distribution of four dependent variable components:

• Susceptible bacteria population density
• Resistant bacteria population density
• Plasmid number
• Antibiotic concentration

The book’s unique approach focuses on computer-based implementation of the example models using R, an open-source scientific computing system. This enables readers to easily execute the models without needing to study numerical methods and computer coding.

Key Features:

• PDE analysis based on the method of lines (MOL), an established general algorithm for PDEs implemented with finite differences
• Transportable computer source codes in R, with line-by-line code descriptions relating to mathematical models and algorithms

By minimizing formal mathematics and avoiding theorems and proofs, the book makes the complex topic of ODE/PDE analysis accessible to a broader audience. The downloadable routines enable readers to apply the models to real-world scenarios and explore variations and extensions of the antibiotic/antimicrobial models.

Published by Elsevier Science in August 2020, this book is a valuable resource for researchers, educators, and students in the fields of mathematics, biology, and computer science. With its comprehensive coverage and practical approach, it is an essential guide for anyone looking to advance their understanding of antibiotic/antimicrobial resistance.