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ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance - Programming in R (Paperback)
Loot Price: R3,479
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ODE/PDE Analysis of Antibiotic/Antimicrobial Resistance - Programming in R (Paperback)
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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.
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