Abstract
We develop a simple mathematical model of a bacterial colonization of host tissue which takes account of nutrient availability and innate immune response. The model features an infection-free state which is locally but not globally attracting implying that a super-threshold bacterial inoculum is required for successful colonization and tissue infection. A subset B of the domain of attraction of the disease-free state is explicitly identified. The dynamics of antibiotic treatment of the infection is also considered. Successful treatment results if the antibiotic dosing regime drives the state of the system into B.
Original language | English (US) |
---|---|
Pages (from-to) | 127-143 |
Number of pages | 17 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 8 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2007 |
Keywords
- Antibiotic treatment
- Infection
- Pharmacodynamics
- Pharmacokinetics
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics