From additivity to synergism - A modelling perspective

Synergy

Volumn 1, Issue 1, 2014, Pages 22-29

  Ritz, Christian ^a   Streibig, Jens C ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

Dose addition; Effective dose; Generalized linear model; Interaction index; Response surface

Indexed keywords

CYPERMETHRIN; PROCHLORAZ;

ARTICLE; DOSE RESPONSE; DRUG ADDITIVITY; DRUG ANTAGONISM; DRUG DESIGN; DRUG EFFECT; DRUG POTENTIATION; FACTORIAL DESIGN; HEWLETT AND VOLUND MODEL; LINEAR REGRESSION ANALYSIS; PHARMACODYNAMICS; PHARMACOLOGICAL PARAMETERS; PRIORITY JOURNAL; STATISTICAL MODEL; UNIVERSAL RESPONSE SURFACE APPROACH;

EID: 84921875361     PISSN: 22137130     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.synres.2014.07.010     Document Type: Article

References (35)

1. Tallarida R.J. Revisiting the isobole and related quantitative methods for assessing drug synergism. J Pharmacol Exp Ther 2012, 342:2-8.
2. Arnold S.F., Klotz D.M., Collins B.M., Vonier P.M., Guillette L.J., McLachlan J.A. Synergistic activation of estrogen receptor with combinations of environmental chemicals. Science 1996, 272:1489-1492.
3. Kortenkamp A., Altenburger R. Approaches to assessing combination effects of oestrogenic environmental pollutants. Sci Total Environ 1999, 233:131-149.
4. Lehár J., Zimmermann G.R., Krueger A.S., Molnar R.A., Ledell J.T., Heilbut A.M., et al. Chemical combination effects predict connectivity in biological systems. Mol Syst Biol 2007, 3(80):1-14.
5. Greco W.R., Bravo G., Parsons J.C. The search for synergy: a critical review from a response surface perspective. Pharmacol Rev 1995, 47:331-385.
6. Gennings C., Carter W.H., Carchman R.A., Teuschler L.K., Simmons J.E., Carney E.W. A unifying concept for assessing toxicological interactions: changes in slope. Toxicol Sci 2005, 88:287-297.
7. Sørensen H., Cedergreen N., Skovgaard I.M., Streibig J.C. An isobole-based statistical model and test for synergism/antagonism in binary mixture toxicity experiments. Environ Ecol Stat 2007, 14:383-397.
8. Berenbaum M.C. The expected effect of a combination of agents: the general solution. J Theor Biol 1985, 114:413-431.
9. Svendsgaard D.J., Greco W.R. Session summary: experimental designs, analyses and quantitative models. Toxicology 1995, 105:157-160.
10. Streibig J.C., Jensen J.E. Actions of herbicides in mixtures. Herbicides and their mechanisms of action 2000, Sheffield Academic Press, Sheffield.
11. Zhang H., Kong F.-X., Yu Y., Shi X.-L., Zhang M., Tian H.-E. Assessing the combination effects of environmental estrogens in fish. Ecotoxicology 2010, 19:1476-1486.
12. Altenburger R., Walter H., Grote M. What contributes to the combined effect of a complex mixture?. Environ Sci Technol 2004, 38:6353-6362.
13. Cedergreen N., Sørensen H., Svendsen C. Can the joint effect of ternary mixtures be predicted from binary mixture toxicity results. Sci Total Environ 2012, 427-428:229-237.
14. Ritz C. Towards a unified approach to dose-response modeling in ecotoxicology. Environ Toxicol Chem 2010, 29:220-229.
15. Van der Vliet L., Ritz C. Statistics for analyzing ecotoxicity test data. Encyclopedia of aquatic ecotoxicology 2013, 1081-1096. Springer, New York. J. Férard, C. Blaise (Eds.).
16. Ritz C., Streibig J.C. Nonlinear regression with R 2008, Springer, New York.
17. McCullagh P., Nelder J.A. Generalized linear models 1989, Chapman & Hall, Boca Raton, FL. 2nd ed.
18. Tallarida R.J. Drug synergism and dose-effect data analysis 2000, Chapman & Hall.
19. Streibig J.C., Kudsk P., Jensen J.E. A general joint action model for herbicide mixtures. Pestic Sci 1998, 53:21-28.
20. Nørgaard K.B., Cedergreen N. Pesticide cocktails can interact synergistically on aquatic crustaceans. Environ Sci Pollut Res 2010, 17:957-967.
21. Belz R.G., Cedergreen N., Sørensen H. Hormesis in mixtures - can it be predicted?. Sci Total Environ 2008, 404:77-87.
22. Vidmar T.J., McKean J.W., Hettmansperger T.P. Robust procedures for drug combination problems with quantal responses. Appl Stat 1992, 41:299-315.
23. Gennings C. On testing for drug/chemical interactions: definitions and inference. J Biopharm Stat 2000, 10:457-467.
24. Belza A., Ritz C., Sørensen M.Q., Holst J.J., Rehfeld J.F., Astrup A. Contribution of gastroenteropancreatic appetite hormones to protein-induced satiety. Am J Clin Nutr 2013, 97:980-989.
25. Gennings C., Carney W.H., Carney E.W., Charles G.D., Gollapudi B.B., Carchman R.A. A novel flexible approach for evaluating fixed ratio mixtures of full and partial agonists. Toxicol Sci 2004, 80:134-150.
26. Stork L.G., Gennings C., Walter H., Carter J., Johnson R.E., Mays D.P., et al. Testing for additivity in chemical mixtures using a fixed-ratio ray design and statistical equivalence testing methods. J Agric Biol Environ Stat 2007, 12:514-533.
27. Jonker M.J., Svendsen C., Bedaux J.J., Bongers M., Kammenga J.E. Significance testing of synergistic/antagonistic, dose level-dependent, or dose ratio-dependent effects in mixture dose-response analysis. Environ Toxicol Chem 2005, 10:2701-2713.
28. Greco W.R., Park H.S., Rustum Y.M. Application of a new approach for the quantitation of drug synergism to the combination of cis-diamminedichloroplatinum and 1-β-d-arabinofuranosylcytosine. Cancer Res 1990, 50:5318-5327.
29. Grabovsky Y., Tallarida R.J. Isobolographic analysis for combinations of a full and partial agonist: curved isoboles. J Pharmacol Exp Ther 2004, 310:981-986.
30. Tallarida R.J. An overview of drug combination analysis with isobolograms. J Pharmacol Exp Ther 2006, 319:1-7.
31. Raffa R.B., Stagliano G.W., Tallarida R.J. Nonlinear isobologram and superadditive withdrawal from cocaine: cannabinoid combinations in planarians. Eur J Pharmacol 2007, 556:89-90.
32. Meletiadis J., Stergiopoulou T., O'Shaughnessy E.M., Peter J., Walsh T.J. Concentration-dependent synergy and antagonism within a triple antifungal drug combination against Aspergillus species: analysis by a new response surface model. Antimicrob Agents Chemother 2007, 51:2053-2064.
33. R Core Team R: a language and environment for statistical computing 2014, R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org/.
34. Ritz C., Streibig J.C. Bioassay analysis using R. J Stat Softw 2005, 12:1-22. http://www.bioassay.dk.
35. Cedergreen N., Kudsk P., Mathiassen S.K., Sørensen H., Streibig J.C. Reproducibility of binary-mixture toxicity studies. Environ Toxicol Chem 2007, 26:149-156.