1,141
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Optimal control applied to community-acquired methicillin-resistant Staphylococcus aureus in hospitals

&
Pages 65-78 | Received 18 Aug 2015, Accepted 02 Feb 2016, Published online: 26 Feb 2016

References

  • S.F. Bradley, Eradication or decolonization of methicillin-resistant Staphylococcus aureus carriage: What are we doing and why are we doing it?, Clin. Infect. Dis. 44(2) (2007), pp. 186–189.
  • F. Chamchod and S. Ruan, Modeling methicillin-resistant Staphylococcus aureus in hospitals: Transmission dynamics, antibiotic usage and its history, Theoret. Biol. Med. Mod. 9(25) (2012).
  • B.S. Cooper, G.F. Medley, S.P. Stone, C.C. Kibbler, B.D. Cookson, J.A. Roberts, G. Duckworth, R. Lai, and S. Ebrahim, Methicillin-resistant Staphylococcus aureus in hospitals and the community: Stealth dynamics and control catastrophes, Proc. Natl. Acad. Sci. USA 101 (2004), pp. 10223–10228.
  • 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, Clin. Infect. Dis. 48 (2009), pp. 274–284.
  • E.M.C. D'Agata, G.F. Webb, M.A. Horn, R.C. Moellering, and S. Ruan, Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals, J. Biol. Dyn. 4(1) (2010), pp. 115–129.
  • S.L. Davis, M.J. Rybak, M. Amjad, G.W. Kaatz, and P.S. McKinnon, Characteristics of patients with healthcare-associated infection due of SCCmec type IV methcillin-resistant Staphylococcus aureus, Infect. Control Hosp. Epidemiol. 27 (2006), pp. 1025–1031.
  • P. Eisler, Dangerous MRSA Bacteria Expand into Communities, Usatoday.com, Gannett, 16 Dec. 2013. Web. 01 Apr. 2014 27.
  • W.H. Fleming and R.W. Rishel, Deterministic and Stochastic Optimal Control, Springer-Verlag, New York, 1975.
  • S. Harbarth, C. Fankhauser, J. Schrenzel, J. Christenson, P. Gervaz, C. Bandiera-Clerc, G. Renzi, N. Vernaz, H. Sax, and D. Pittet, Universal screening for methicillin-resistant Staphylococcus aureus at hospital admission and nosocomial Infection in surgical patients, JAMA 299 (2008), pp. 1149–1157.
  • B.C. Herold, L.C. Immergluck, and L.C. Maranan, et al., Community-acquired methicillin-resistant Staphylococcus aureus in children with no identified predisposing risk, JAMA 279 (1998), pp. 593–598.
  • A. Hurford, A.M. Morris, D.N. Fisman, and J. Wu, Linking antimicrobial prescribing to antimicrobial resistance in the ICU: Before and after an antimicrobial stewardship program, Epidemics 4 (2012), pp. 203–210.
  • E. Klein, D.L. Smith, and R. Laxminarayan, Hospitalizations and deaths caused by methicillin resistant Staphylococcus aureus, United States, 1999–2005, Emerg. Infect. Dis. 12 (2007), pp. 1840–1846.
  • M.F.Q. Kluytmans-VandenBergh and J.A.J.W. Kluytmans, Community-acquired methicillin-resistant Staphylococcus aureus: Current perspectives, Clin. Microbiol. Infect. 12 (2006(S1)), pp. 9–15.
  • S. Lenhart and J.T. Workman, Optimal Control Applied to Biological Models, CRC Press, New York, 2007.
  • B.R. Levin, Minimizing potential resistance: A population dynamics view, Clin. Infect. Dis. 33 (2001), pp. S161–S169.
  • D.L. Lukes, Differential Equations: Classical to Controlled, Academic Press, New York, 1982.
  • Centers for Disease Control, Methicillin-resistant Staphylococcus aureus infections among competitive sports participants—Colorado, Indiana, Pennsylvania, and Los Angeles County, 2000–2003. MMWR 52 (2003), pp. 793–795.
  • L.G. Miller, F. Perdreau-Remington , G. Rieg, S Mehdi, J. Perlroth, A.S. Bayer, A.W. Tang, T.O. Phung, and B. Spellberg, Necrotizing fasciitis caused by community-associated methicillin-resistant Staphylococcus aureus in Los Angeles, New Engl. J. Med. 352 (2005), pp. 1445–1453.
  • C.A. Muto, J.A. Jernigan , B.E. Ostrowsky, H.M. Richet, W.R. Jarvis, J.M. Boyce, and B.M. Farr, SHEA guidelines for preventing nosocomial transmission of multidrug resistant strains of Staphylococcus aureus and Enterococcus, Infect. Control Hosp. Epidemiol. 24 (2003), pp. 362–86.
  • J.A. Otter and G.L. French, Nosocomial transmission of community-associated meticillin-resistant Staphylococcus aureus: An emerging threat, Lancet Infect. Dis. 6 (2006), pp. 753–755.
  • M. Patel, K.B. Waites, C.J. Hoesley, A.M. Stamm, K.C. Canupp, and S.A. Moser, Emergence of USA300 MRSA in a tertiary medical centre: Implications for epidemiological studies, J. Hosp. Infect. 68 (2008), pp. 208–213.
  • L. Peterson and D. Diekema, To screen or not to screen for methicillin-resistant Staphylococcus aureus, J. Clin. Microbiol. 48 (2010), pp. 683–689.
  • L. Pontryagin, V. Boltyanskii, R. Gamkrelidze, and E. Mishchenko, The Mathematical Theory of Optimal Processes, Wiley-Interscience, New York, 1962.
  • K. Popovich, R. Weinstein, and B. Hota, Are community-associated methicillin-resistant Staphylococcus aureus (MRSA) strains replacing traditional nosocomial MRSA strains?, Clin. Infect. Dis. 46 (2008), pp. 795–798.
  • K. Prabaker and R.A. Weinstein, Trends in antimicrobial resistance in intensive care units in the United States, Curr. Opin. Crit. Care 17 (2011), pp. 472–479.
  • L.B. Rice, Antimicrobial resistance in gram-positive bacteria, Am. J. Infect. Control (2006), Jun;34(5 Suppl 1):S11-9; discussion S64-73.
  • J.V. Robotham, C.A. Scarff, D.R. Jenkins, and G.F. Medley, Meticillin-resistant Staphylococcus aureus (MRSA) in hospitals and the community: model predictions based on the UK situation, J. Hosp. Infect. 65 (2007(S2)), pp. 93–99.
  • L. Saiman, M.O. Keefe, P.L. Graham, F. Wu, B.S. Salim, B. Kreiswirth, A. LaSala, P.M. Schlievert, and P.D. Latta, Hospital transmission of community-acquired methicillin-resistant Staphylococcus aureus among postpartum women, Clin. Infect. Dis. 37 (2003), pp. 1313–1319.
  • U. Seybold, E.V. Kourbatova, J.G. Johnson, S.J. Halvosa, Y.F. Wang, M.D. King, S.M. Ray, and H.M. Blumberg, Emergence of Community-Associated Methicillin-Resistant Staphylococcus aureus USA300 Genotype as a Major Cause of Health Care–Associated Blood Stream Infections, Clin. Infect. Dis. 42 (2006), pp. 647–656.
  • Study: Resistant Infections Plummet at VA Hospitals Because of MRSA Initiative 2011 Issues, Department of Veterans Affairs (VA), Infectious Disease, May 2011.
  • A. Tristan, M. Bes , H. Meugnier, G. Lina, B. Bozdogan, P. Courvalin, M.-E Reverdy, M.C. Enright, F. Vandenesch, and J. Etienne, Global distribution of pantonvalentine leukocidin-positive methicillin-resistant Staphylococcus aureus, 2006, Emerg. Infect. Dis. 13 (2007), pp. 594–600.
  • A. Tübbicke, C. Hübner, N.-O. Hüner, C. Wegner, A. Kramer, and S. Fleßa, Cost comparison of MRSA screening and management - a decision tree analysis, BMC Health Serv. Res. 12(438) (2012).
  • P. van den Driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci. 180 (2002), pp. 29–48.
  • J. Wang, L. Wang, P. Magal, Y. Wang, J. Zhuo, X. Lu, and S. Ruan, Modelling the transmission dynamics of meticillin-resistant Staphylococcus aureus in Beijing Tongren hospital, J. Hosp. Infect. 79 (2011), pp. 302–308.
  • X. Wang, S. Panchanathan, and G. Chowell, A data-driven mathematical model of CA-MRSA transmission among age groups: Evaluating the effect of control interventions, PLoS Comp. Biol. 9(11) (2013).
  • N. Zetola, J.S. Francis, E.L. Nuermberger, and W.R. Bishai, Community-acquired meticillin-resistant Staphylococcus aureus: An emerging threat, Lancet Infect. Dis. 5 (2005), pp. 275–286.