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Optimizing Hospital Infection Control: The Role of Mathematical Modeling

Published online by Cambridge University Press:  10 May 2016

Tan N. Doan
Affiliation:
Centre for Medicine Use and Safety, Faculty of Pharmacy and Pharmaceutical Sciences, Monash University, Melbourne, Victoria, Australia
David C. M. Kong
Affiliation:
Centre for Medicine Use and Safety, Faculty of Pharmacy and Pharmaceutical Sciences, Monash University, Melbourne, Victoria, Australia
Carl M. J. Kirkpatrick
Affiliation:
Centre for Medicine Use and Safety, Faculty of Pharmacy and Pharmaceutical Sciences, Monash University, Melbourne, Victoria, Australia
Emma S. McBryde*
Affiliation:
Victorian Infectious Diseases Service, Royal Melbourne Hospital, Melbourne, Victoria, Australia
*
Victorian Infectious Diseases Service, Royal Melbourne Hospital, Peter Doherty Institute for Infection and Immunity, Level 4, 792 Elizabeth Street, Melbourne, Victoria 3000, Australia (emma.mcbryde@mh.org.au); or, David C. M. Kong, PhD, Centre for Medicine Use and Safety, Faculty of Pharmacy and Pharmaceutical Sciences, Monash University, 381 Royal Parade, Melbourne, Victoria 3052, Australia (david.kong@monash.edu).

Abstract

Multidrug-resistant bacteria are major causes of nosocomial infections and are associated with considerable morbidity, mortality, and healthcare costs. Preventive strategies have therefore become increasingly important. Mathematical modeling has been widely used to understand the transmission dynamics of nosocomial infections and the quantitative effects of infection control measures. This review will explore the principles of mathematical modeling used in nosocomial infections and discuss the effectiveness of infection control measures investigated using mathematical modeling.

Infect Control Hosp Epidemiol 2014;35(12):1521–1530

Type
Research Article
Copyright
© 2014 by The Society for Healthcare Epidemiology of America. All rights reserved.

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References

1. De Angelis, G, Murthy, A, Beyersmann, J, Harbarth, S. Estimating the impact of healthcare-associated infections on length of stay and costs. Clin Microbiol Infect 2010;16:17291735.CrossRefGoogle ScholarPubMed
2. Hawkey, PM, Jones, AM. The changing epidemiology of resistance. J Antimicrob Chemother 2009;64:i3i10.CrossRefGoogle Scholar
3. Alanis, AJ. Resistance to antibiotics: are we in the post-antibiotic era? Arch Med Res 2005;36:697705.CrossRefGoogle ScholarPubMed
4. Grundmann, H, Hellriegel, B. Mathematical modelling: a tool for hospital infection control. Lancet Infect Dis 2006;6:3945.CrossRefGoogle ScholarPubMed
5. Stangl, DK. Bridging the gap between statistical analysis and decision making in public health research. Stat Med 2005;24:503511.CrossRefGoogle ScholarPubMed
6. van Kleef, E, Robotham, JV, Jit, M, Deeny, SR, Edmunds, WJ. Modelling the transmission of healthcare associated infections: a systematic review. BMC Infect Dis 2013;13:113.CrossRefGoogle ScholarPubMed
7. Vynnycky, E, White, RG. An Introduction to Infectious Disease Modelling. New York: Oxford University Press, 2010.Google Scholar
8. Bailey, N. The Biomathematics of Malaria. London: Charles Griffin, 1975.Google Scholar
9. Cooper, BS, Medley, GF, Scott, GM. Preliminary analysis of the transmission dynamics of nosocomial infections: stochastic and management effects. J Hosp Infect 1999;43:131147.CrossRefGoogle ScholarPubMed
10. Pelupessy, I, Bonten, MJ, Diekmann, O. How to assess the relative importance of different colonization routes of pathogens within hospital settings. Proc Natl Acad Sci USA 2002;99:56015605.CrossRefGoogle ScholarPubMed
11. McBryde, ES, Pettitt, AN, McElwain, DL. A stochastic mathematical model of methicillin resistant Staphylococcus aureus transmission in an intensive care unit: predicting the impact of interventions. J Theor Biol 2007;245:470481.CrossRefGoogle Scholar
12. McBryde, ES, Pettitt, AN, Cooper, BS, McElwain, DL. Characterizing an outbreak of vancomycin-resistant enterococci using hidden Markov models. J R Soc Interface 2007;4:745754.CrossRefGoogle ScholarPubMed
13. Cooper, B, Lipsitch, M. The analysis of hospital infection data using hidden Markov models. Biostatistics 2004;5:223237.CrossRefGoogle ScholarPubMed
14. Mishra, S, Fisman, DN, Boily, MC. The ABC of terms used in mathematical models of infectious diseases. J Epidemiol Community Health 2011;65:8794.CrossRefGoogle ScholarPubMed
15. Keeling, MJ, Danon, L. Mathematical modelling of infectious diseases. Br Med Bull 2009;92:3342.CrossRefGoogle ScholarPubMed
16. Chamchod, F, Ruan, S. Modeling methicillin-resistant Staphylococcus aureus in hospitals: transmission dynamics, antibiotic usage and its history. Theor Biol Med Model 2012;9:114.CrossRefGoogle ScholarPubMed
17. Austin, DJ, Bonten, MJ, Weinstein, RA, Slaughter, S, Anderson, RM. Vancomycin-resistant enterococci in intensive-care hospital settings: transmission dynamics, persistence, and the impact of infection control programs. Proc Natl Acad Sci USA 1999;96:69086913.CrossRefGoogle ScholarPubMed
18. Bonten, MJ, Austin, DJ, Lipsitch, M. Understanding the spread of antibiotic resistant pathogens in hospitals: mathematical models as tools for control. Clin Infect Dis 2001;33:17391746.CrossRefGoogle ScholarPubMed
19. Raboud, J, Saskin, R, Simor, A, et al. Modeling transmission of methicillin-resistant Staphylococcus aureus among patients admitted to a hospital. Infect Control Hosp Epidemiol 2005;26:607615.CrossRefGoogle ScholarPubMed
20. Wang, J, Wang, L, Magal, P, et al. Modelling the transmission dynamics of meticillin-resistant Staphylococcus aureus in Beijing Tongren hospital. J Hosp Infect 2011;79:302308.CrossRefGoogle ScholarPubMed
21. Wang, X, Xiao, Y, Wang, J, Lu, X. A mathematical model of effects of environmental contamination and presence of volunteers on hospital infections in China. J Theor Biol 2012;293:161173.CrossRefGoogle Scholar
22. Pressley, J, D’Agata, EM, Webb, GF. The effect of co-colonization with community-acquired and hospital-acquired methicillin-resistant Staphylococcus aureus strains on competitive exclusion. J Theor Biol 2010;264:645656.CrossRefGoogle ScholarPubMed
23. D’Agata, EM, Horn, MA, Webb, GF. The impact of persistent gastrointestinal colonization on the transmission dynamics of vancomycin-resistant enterococci. J Infect Dis 2002;185:766773.CrossRefGoogle ScholarPubMed
24. D’Agata, EM, Webb, G, Horn, M. A mathematical model quantifying the impact of antibiotic exposure and other interventions on the endemic prevalence of vancomycin-resistant enterococci. J Infect Dis 2005;192:20042011.CrossRefGoogle ScholarPubMed
25. Perencevich, EN, Fisman, DN, Lipsitch, M, Harris, AD, Morris, JG Jr, Smith, DL. Projected benefits of active surveillance for vancomycin-resistant enterococci in intensive care units. Clin Infect Dis 2004;38:11081115.CrossRefGoogle ScholarPubMed
26. Grima, DT, Webb, GF, D’Agata, EM. Mathematical model of the impact of a nonantibiotic treatment for Clostridium difficile on the endemic prevalence of vancomycin-resistant enterococci in a hospital setting. Comput Math Methods Med 2012;2012:605861.CrossRefGoogle Scholar
27. Chamchod, F, Ruan, S. Modeling the spread of methicillin-resistant Staphylococcus aureus in nursing homes for elderly. PLoS ONE 2012;7:19.CrossRefGoogle ScholarPubMed
28. D’Agata, EM, Magal, P, Olivier, D, Ruan, S, Webb, GF. Modeling antibiotic resistance in hospitals: the impact of minimizing treatment duration. J Theor Biol 2007;249:487499.CrossRefGoogle ScholarPubMed
29. McBryde, ES, McElwain, DL. A mathematical model investigating the impact of an environmental reservoir on the prevalence and control of vancomycin-resistant enterococci. J Infect Dis 2006;193:14731474.CrossRefGoogle ScholarPubMed
30. Pittet, D, Allegranzi, B, Sax, H, et al. Evidence-based model for hand transmission during patient care and the role of improved practices. Lancet Infect Dis 2006;6:641652.CrossRefGoogle ScholarPubMed
31. Marra, AR, Camargo, TZ, Cardoso, VJ, et al. Hand hygiene compliance in the critical care setting: a comparative study of 2 different alcohol handrub formulations. Am J Infect Control 2013;41:136139.CrossRefGoogle ScholarPubMed
32. Martin-Madrazo, C, Soto-Diaz, S, Canada-Dorado, A, et al. Cluster randomized trial to evaluate the effect of a multimodal hand hygiene improvement strategy in primary care. Infect Control Hosp Epidemiol 2012;33:681688.CrossRefGoogle ScholarPubMed
33. Dos Santos, RP, Konkewicz, LR, Nagel, FM, et al. Changes in hand hygiene compliance after a multimodal intervention and seasonality variation. Am J Infect Control 2013;41:10121016.CrossRefGoogle ScholarPubMed
34. Kaier, K, Mutters, NT, Frank, U. Bed occupancy rates and hospital-acquired infections—should beds be kept empty? Clin Microbiol Infect 2012;18:941945.CrossRefGoogle ScholarPubMed
35. Patel, M, Weinheimer, JD, Waites, KB, Baddley, JW. Active surveillance to determine the impact of methicillin-resistant Staphylococcus aureus colonization on patients in intensive care units of a Veterans Affairs medical center. Infect Control Hosp Epidemiol 2008;29:503509.CrossRefGoogle ScholarPubMed
36. Willing, BP, Russell, SL, Finlay, BB. Shifting the balance: antibiotic effects on host-microbiota mutualism. Nat Rev Microbiol 2011;9:233243.CrossRefGoogle ScholarPubMed
37. Gonzales, R, Anderer, T, McCulloch, CE, et al. A cluster randomized trial of decision support strategies for reducing antibiotic use in acute bronchitis. JAMA Intern Med 2013;173:267273.CrossRefGoogle ScholarPubMed
38. Boyce, JM. Environmental contamination makes an important contribution to hospital infection. J Hosp Infect 2007;2:5054.CrossRefGoogle Scholar
39. Jit, M, Brisson, M. Modelling the epidemiology of infectious diseases for decision analysis: a primer. Pharmacoeconomics 2011;29:371386.CrossRefGoogle ScholarPubMed
40. Hollingsworth, TD. Controlling infectious disease outbreaks: lessons from mathematical modelling. J Public Health Policy 2009;30:328341.CrossRefGoogle ScholarPubMed
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