The optimal deployment of synergistic antibiotics: A control-theoretic approach

Journal of the Royal Society Interface

Volumn 9, Issue 75, 2012, Pages 2488-2502

  Peña Miller, Rafael ^a   Lähnemann, David ^b   Schulenburg, Hinrich ^b   Ackermann, Martin ^c,d   Beardmore, Robert ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

^b UNIVERSITY OF KIEL   (Germany)

^c ETH ZURICH   (Switzerland)

^d Department of Environmental Microbiology ^*  (Switzerland)

Author keywords

Antimicrobial resistance; Control theory; Drug interactions

Indexed keywords

ANTIBIOTICS; BACTERIA; CONTROL THEORY; DRUG INTERACTIONS; OPTIMIZATION; PATHOGENS;

ANTIBIOTIC TREATMENT; ANTIMICROBIAL DRUG; ANTIMICROBIAL RESISTANCES; BACTERIOSTATIC; CARBON SOURCE; CONTINUOUS CULTURE; CONTROL-THEORETIC APPROACH; DEPLOYMENT STRATEGY; DRUG COMBINATIONS; EVOLUTIONARY MODELS; EXPERIMENTAL EVIDENCE; MODEL SYSTEM; MULTIDRUG RESISTANCE; OPTIMAL CONTROL THEORY; OPTIMAL DEPLOYMENT; PATHOGENIC BACTERIUM; SELECTIVE PRESSURE;

DRUG DOSAGE;

ANTIBIOTIC AGENT;

ARTICLE; BACTERIOSTASIS; CARBON SOURCE; COMMENSAL; CONTINUOUS CULTURE; DRUG EFFECT; DRUG EFFICACY; DRUG POTENTIATION; NONHUMAN; THEORETICAL MODEL;

BACTERIA (MICROORGANISMS);

EID: 84866257021     PISSN: 17425689     EISSN: 17425662     Source Type: Journal    
DOI: 10.1098/rsif.2012.0279     Document Type: Article

References (26)

1. Nathan, C. 2004 Antibiotics at the crossroads. Nature 431, 899-902. (doi:10.1038/431899a)
2. Levy, A. & Marshall, B. 2004 Antibacterial resistance worldwide: causes, challenges and responses. Nat. Med. 10, S122-S129. (doi:10.1038/nm1145)
3. Michea-Hamzehpour, M., Pechere, J., Marchou, B. & Auckenthaler, R. 1986 Combination therapy: a way to limit emergence of resistance? Am. J. Med. 80, 138-142. (doi:10.1016/0002-9343(86)90491-2)
4. Milatovic, D. & Braveny, I. 1987 Development of resistance during antibiotic therapy. Eur. J. Clin. Microbiol. 6, 234-244. (doi:10.1007/ BF02017607)
5. Montero, A., Ariza, J., Corbella, X., Domenech, A., Cabellos, C., Ayats, J., Tubau, F., Borraz, C. & Gudiol, F. 2004 Antibiotic combinations for serious infections caused by carbapenem-resistant Acinetobacter baumannii in a mouse pneumonia model. J. Antimicrob. Chemother. 54, 1085-1091. (doi:10.1093/jac/dkh485)
6. Hegreness, M., Shoresh, N., Damian, D., Hartl, D. & Kishony, R. 2008 Accelerated evolution of resistance in multidrug environments. Proc. Natl Acad. Sci. USA 105, 13 977-13 981.(doi:10.1073/pnas.0805965105)
7. Chait, R., Craney, A. & Kishony, R. 2007 Antibiotic interactions that select against resistance. Nature 446, 668-671. (doi:10.1038/nature05685)
8. Yeh, P. J., Hegreness, M. J., Aiden, A. P. & Kishony, R. 2009 Drug interactions and the evolution of antibiotic resistance. Nat. Rev. Microbiol. 7, 460-466. (doi:10.1038/nrmicro2133)
9. Cokol, M. et al. 2011 Systematic exploration of synergistic drug pairs. Mol. Syst. Biol. 7, 544. (doi:10.1038/msb.2011.71)
10. Stecher, B. et al. 2007 Salmonella enterica serovar Typhimurium exploits inflammation to compete with the intestinal microbiota. PLoS Biol. 5, 2177-2189. (doi:10.1371/journal.pbio.0050244)
11. Dethlefsen, L. & Relman, D. A. 2010 Microbes and health sackler colloquium: incomplete recovery and individualized responses of the human distal gut microbiota to repeated antibiotic perturbation. Proc. Natl Acad. Sci. USA 108, 4516-4522. (doi:10.1073/pnas.1000087107)
12. Peña-Miller, R., Lähnemann, D., Schulenburg, H., Ackermann, M. & Beardmore, R. 2011 Selecting against antibiotic-resistant pathogens: optimal treatments in the presence of commensal bacteria. Bull. Math. Biol. 74, 908-934.
13. Andersson, D. I. & Levin, B. R. 1999 The biological cost of antibiotic resistance. Curr. Opin. Microbiol. 2, 489-493. (doi:10.1016/S1369- 5274(99)00005-3)
14. Gagneux, S., Long, C. D., Small, P. M., Van, T., Schoolnik, G. K. & Bohannan, B. J. M. 2006 The competitive cost of antibiotic resistance in Mycobacterium tuberculosis. Science 312, 1944-1946. (doi:10.1126/science. 1124410)
15. Berenbaum, M. 1989 What is synergy? Pharmacol. Rev. 41, 93-141.
16. Greco, W., Bravo, G. & Parsons, J. 1995 The search for synergy: a critical review from a response surface perspective. Pharmacol. Rev. 47, 331-385.
17. Loewe, S. 1953 The problem of synergism and antagonism of combined drugs. Arzneimittelforschung 3, 285-290.
18. Smith, H. L. & Waltman, P. E. 1995 The theory of the chemostat: dynamics of microbial competition. Cambridge Studies in Mathematical Biology. Cambridge, UK: Cambridge University Press.
19. Lehar, J. et al. 2009 Synergistic drug combinations tend to improve therapeutically relevant selectivity. Nat. Biotech. 27, 659-666. (doi:10.1038/nbt.1549)
20. Zhao, M., Yang, M., Baranov, E., Wang, X., Penman, S., Moossa, A. R. & Hoffman, R. M. 2001 Spatial-temporal imaging of bacterial infection and antibiotic response in intact animals. Proc. Natl Acad. Sci. USA 98, 9814-9818. (doi:10.1073/pnas.161275798)
21. Stecher, B. & Hardt, W.-D. 2008 The role of microbiota in infectious disease. Trends Microbiol. 16, 107-114. (doi:10.1016/j.tim.2007.12.008)
22. Stecher, B.,Macpherson, A. J., Hapfelmeier, S., Kremer,M., Stallmach, T. & Hardt, W. 2005 Comparison of Salmonella enterica serovar Typhimurium colitis in germfree mice and mice pretreated with streptomycin. Infect Immun. 73, 3228-3241. (doi:10.1128/IAI.73.6.3228-3241.2005)
23. Sullivan, A., Edlund, C. & Nord, C. 2001 Effect of antimicrobial agents on the ecological balance of human microflora. Lancet Infect. Dis. 1, 101-114. (doi:10.1016/S1473-3099(01)00066-4)
24. Sussmann, H. T. 1972 The bang-bang problem for certain control systems in GL(n,r). SIAM J. Control 10, 470-476. (doi:10.1137/0310036)
25. Bergeron, M. & Ouellette, M. 1998 Preventing antibiotic resistance through rapid genotypic identification of bacteria and of their antibiotic resistance genes in the clinical microbiology laboratory. Clin. Microbiol. 36, 2169-2172.
26. Xu, M., Zhou, Y. N., Goldstein, B. P. & Jin, D. J. 2005 Cross-resistance of Escherichia coli RNA polymerases conferring rifampin resistance to different antibiotics. J. Bacteriol. 187, 2783-2792. (doi:10.1128/JB.187.8.2783-2792.2005)