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

By renowned author William E. Schiesser, this book presents a cutting-edge approach to understanding antibiotic/antimicrobial resistance through ordinary and partial differential equations (ODE/PDEs) modeling.

In-Depth Analysis of Antibiotic Resistance

The book covers both basic ODE models and detailed PDE models, providing a comprehensive understanding of the spatiotemporal distribution of four key components: susceptible bacteria population density, resistant bacteria population density, plasmid number, and antibiotic concentration.

Practical Implementation with R Programming

The book takes a hands-on approach, implementing the example models using R, a popular open-source scientific computing system. This enables readers to replicate and extend the models without requiring extensive mathematical or programming knowledge.

Method of Lines (MOL) for PDE Analysis

The PDE analysis is based on the well-established method of lines (MOL) algorithm, which is implemented using finite differences. This approach allows for efficient and accurate solution of PDE models.

Routines are provided, allowing readers to execute the example models without prior knowledge of numerical methods or programming. These routines can then be adapted and extended to explore variations and extensions of the antibiotic/antimicrobial models.

Key Features and Benefits

• Comprehensive coverage of ODE/PDE models for antibiotic/antimicrobial resistance
• Practical implementation using R programming
• Method of lines (MOL) algorithm for efficient PDE analysis
• Transportable computer source codes for readers to adapt and extend
• Authored by a leading researcher and educator in PDE models

By combining mathematical modeling with practical implementation, this book provides a unique resource for researchers, educators, and students seeking to understand and combat antibiotic/antimicrobial resistance.