The Dynamics of Bacterial Infection , Innate Immune Response , and Antibiotic Treatment

  title={The Dynamics of Bacterial Infection , Innate Immune Response , and Antibiotic Treatment},
  author={Mudassar Imran and Hal L. Smith},
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… CONTINUE READING


Publications citing this paper.
Showing 1-8 of 8 extracted citations

Dynamics between Immune System-Bacterial Loads

Bahatdin DAŞBAŞI
View 1 Excerpt


Publications referenced by this paper.
Showing 1-10 of 36 references


N. G. Cogan
tolerance and dosing, Journal of Theoretical Biology 238(3): 694-703 • 2006
View 4 Excerpts
Highly Influenced

Anderson., The dynamics of drug action on the within-host population growth of infectious agents: melding pharmacokinetics with pathogen population dynamics

D. J. Austin, N. J. White, R.M
J Theor Biol., • 1998
View 4 Excerpts
Highly Influenced

Handbook of Pharmacokinetic/Pharmacodynamic correlation

A. Nolting, H. Derendorf
CRC Press, Boca Raton, FLa. • 1995
View 5 Excerpts
Highly Influenced

and F

D. E. Corpet, S. Lumeau
Corpet Minimum antibiotics levels for selecting a resistance plasmid in a gnotobiotic animal model, Antimicrobial Agents and Chemotherapy 33(4): 535-540, • 1989
View 4 Excerpts
Highly Influenced

Asymptotically Autonomous semiflows : chain recurrence and Lyapunov functions

H. L. Smith
Trans . A . M . S . • 2006

Chappell , Structure identifiability and indistinguishability of certain twocompartment models incorporating nonlinear efflux from the peripheral compartment

J. Michael
Mathematical Biosciences • 2006

Mathematical Models in Biofilms and Antibiotic Treatment

M. Imran
Ph.D. thesis, • 2006
View 1 Excerpt

Modeling in Biopharmaceutics, Pharmacokinetics, and Pharmacodynamics Homogeneous and Heterogeneous Approaches

P. Macheras, A. Iliadis
View 1 Excerpt

and V

M. Nikolaou
H. Tam A new modeling approach to the effect of antimicrobial agents on heterogeneous microbial population, J. Math. Biol. 52: 154-182 • 2006
View 3 Excerpts

Similar Papers

Loading similar papers…