A model of drug resistance with infection by health care workers

Mathematical Biosciences and Engineering

Volumn 7, Issue 4, 2010, Pages 779-792

  Friedman, Avner ^a   Ziyadi, Najat ^a,b   Boushaba, Khalid ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b MORGAN STATE UNIVERSITY   (United States)

^c IOWA STATE UNIVERSITY   (United States)

Author keywords

Drug resistant bacteria; Health care workers; Infection in hospital

Indexed keywords

ANTIINFECTIVE AGENT;

ANTIBIOTIC RESISTANCE; ARTICLE; BACTERIAL INFECTION; BIOLOGICAL MODEL; CROSS INFECTION; DISEASE TRANSMISSION; DRUG EFFECT; HEALTH CARE PERSONNEL; HOSPITAL PATIENT; HUMAN; METHICILLIN RESISTANT STAPHYLOCOCCUS AUREUS; STAPHYLOCOCCUS INFECTION;

ANTI-BACTERIAL AGENTS; BACTERIAL INFECTIONS; CROSS INFECTION; DISEASE TRANSMISSION, INFECTIOUS; DRUG RESISTANCE, BACTERIAL; HEALTH PERSONNEL; HUMANS; INPATIENTS; METHICILLIN-RESISTANT STAPHYLOCOCCUS AUREUS; MODELS, BIOLOGICAL; STAPHYLOCOCCAL INFECTIONS;

BACTERIA (MICROORGANISMS); STAPHYLOCOCCUS AUREUS;

EID: 77958069834     PISSN: 15471063     EISSN: 15510018     Source Type: Journal    
DOI: 10.3934/mbe.2010.7.779     Document Type: Article

References (23)

1. D. J. Austin, M. J. M. Bonten, R. A. Weinstein, S. Slaughter and R. M. Anderson, Vancomycin-resistant enterococci in intensive-care hospital settings: Transmission dynamics, persistence, and the impact of infection control programs, PNAS, 96 (1999), 6908-6913.
2. M. C. J. Bootsma, O. Diekmann and M. J. M. Bonten, Controlling methicillin-resistant staphylococcus aureus: Quantifying the effects of interventions and rapid diagnostic testing, PNAS, 103 (2006), 5620-5625.
3. M. J. M. Bonten, R. Willems and R. A. Weinstein, Vancomycin-resistant enterococci: Why are they here, and where do they come from? The Lancet Infectious Diseases, 1 (2001), 314-325.
4. D. S. Burgess, Pharmacodynamic principles of antimicrobial therapy in the prevention of resistance, Chest, 115 (1999), 19S-23S.
5. B. S. Cooper, G. F. Medley and G. M. Scott, Preliminary analysis of the transmission dynamics of nosocomial infections: Stochastic and management effects, The Journal of Hospital Infection, 43 (1999), 131-147.
6. E. M. C. D'Agata, M. Dupont-Rouzeyrol, P. Magal, D. Olivier and S. Ruan, The impact of different antibiotic regimens on the emergence of antimicrobial-resistant bacteria, PLoS ONE, 3 (2008), e4036+.
7. E. M. C. D'Agata, M. A. Horn and G. F. Webb, The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycin-resistant enterococci, The Journal of Infectious Diseases, 185 (2002), 766-773.
8. E. M. C. D'Agata, P. Magal, D. Olivier, S. Ruan and G. F. Webb, Modeling antibiotic resistance in hospitals: The impact of minimizing treatment duration, J. Theor. Biol., 249 (2007), 487-499.
9. E. M. C. D'Agata, G. F. Webb and M. A. Horn, A mathematical model quantifying the impact of antibiotic exposure and other interventions on the endemic prevalence of vancomycin-resistant enterococci, The Journal of Infectious Diseases, 192 (2005), 2004-2011.
10. E. M. C. D'Agata, G. F. Webb, M. A. Horn, R. C. Moellering and S. Ruan, Modeling the invasion of community-acquired methicillin-resistant staphylococcus aureus into hospitals, Clinical Infectious Diseases, 48 (2009), 274-284.
11. B. M. Farr, C. D. Salgado, T. B. Karchmer and R. J. Sherertz, Can antibiotic-resistant nosocomial infections be controlled? The Lancet Infectious Diseases, 1 (2001), 38-45.
12. H. Grundmann, M. Aires-de-Sousa, J. Boyce and E. Tiemersma, Emergence and resurgence of meticillin-resistant staphylococcus aureus as a public-health threat, The Lancet Infectious Diseases, 368 (2006), 874-885.
13. H. Grundmann and B. Hellriegel, Mathematical modelling: A tool for hospital infection control, The Lancet Infectious Diseases, 6 (2006), 39-45.
14. K. Hiramatsu, Vancomycin-resistant staphylococcus aureus: A new model of antibiotic resistance, The Lancet Infectious Diseases, 1 (2001), 147-155.
15. A. Handel, E. Margolis and B. R. Levin, Exploring the role of the immune response in preventing antibiotic resistance, Journal of Theoretical Biology, 256 (2009), 655-662.
16. M. Lipsitch, C. T. Bergstrom and B. R. Levin, The epidemiology of antibiotic resistance in hospitals: Paradoxes and prescriptions, PNAS, 97 (2000), 1938-43.
17. R. J. LeVeque, "Numerical Methods for Conservation Laws," Second edition, Lectures in Mamathematics, ETH Zürich, Birkḧauser Verlag, Basel, 1992.
18. R. J. LeVeque, "Finite Volume Methods for Hyperbolic Problems," Cambridge Texts in Applied Mathematics, Cambridge University Press, Cambridge, 2002.
19. L. R. Peterson, Squeezing the antibiotic balloon: The impact of antimicrobial classes on emerging resistance, Clin. Microbiol. Infect. 11 Suppl., 5 (2005), 4-16.
20. D. L. Smith, J. Dushoff, E. N. Perencevich, A. D. Harris and S. A. Levin, Persistent colonization and the spread of antibiotic resistance in nosocomial pathogens: Resistance is a regional problem, PNAS, 101 (2004), 3709-3714.
21. L. Temime, P. Y. Bolle, P. Courvalin and D. Guillemot, Bacterial resistance to penicillin g by decreased affinity of penicillin-binding proteins: A mathematical model, Emerging Infect. Dis., 9 (2003), 411-417.
22. G. F. Webb, E. M. C. D'Agata, P. Magal and S. Ruan, A model of antibiotic-resistant bacterial epidemics in hospitals, PNAS, 102 (2005), 13343-13348.
23. G. F. Webb, M. A. Horn, E. M. C. D'Agata, R. C. Moellering and S. Ruan, Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals, J. Biol. Dyn., 4 (2010), 115-129.