Drug synergism and dose-effect data analysis

Drug Synergism and Dose-Effect Data Analysis

Volumn , Issue , 2000, Pages 1-251

  Tallarida, Ronald J ^a  

^a TEMPLE UNIVERSITY SCHOOL OF MEDICINE   (United States)

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EID: 4244213512     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book

References (125)

1. Adams, J.U., Tallarida, R.J., Geller, E.B., and Adler, M.W. Combinations of PL017 and DPDPE produce simple additivity in an analgesic test in rats: An isobolographic analysis. In Problems of Drug Dependence, L.S. Harris, Ed. NIDA Research Monograph 119:301, 1992.
2. Adams, J.U., Tallarida, R.J., Geller, E.B., and Adler, M.W. Isobolographic super-additivity between delta and mu opioid agonists in the rat depends on the ratio of compounds, the mu agonist and the analgesic assay used. J. Pharmacol. Exp. Ther. 266:1261–1267, 1993.
3. Aran, S. and Hammond, D.L. Antagonism of baclofen-induced antinociception by intrathecal administration of phaclofen or 2–hydroxy-saclofen, but not delta-aminovaleric acid in the rat. J. Pharmacol. Exp. Ther. 257:360–368, 1991.
4. Berenbaum, M.C. What is Synergy? Pharmacol. Rev. 41:93–144, 1989. (S)
5. Bian, D., Ossipov, M.H., Ibrahim, M., Raffa, R.B., Tallarida, R.J., Malan, T.P., Lai, J., and Porreca, F. Loss of antiallodynic and antinociceptive spinal-supraspinal morphine synergy in nerve-injured rats: Restoration by MK-801 or dynorphin antiserum. Brain Res. 831:55–63, 1999.
6. Bliss, C.I. The method of probits. Science, 79: 38–39, 1934. (S)
7. Bliss, C.I. The method of probits — a correction. Science, 79: 409–410, 1934. (S)
8. Bliss, C.I. The determination of dosage-mortality curves for small numbers. Quart. J. Pharmacol. 11:192–216, 1938. (S)
9. Bliss, C.I. The toxicity of poisons applied jointly. Ann. Appl. Biol. 26:585–615, 1939.(S)
10. Busby, R.C and Tallarida, R.J. On the analysis of straight line data in pharmacology and biochemistry. J. Theor. Biol. 93:867–879, 1981. (S)
11. Carter, W.H., Gennings, C., Staniswalis, J.G., Campbell, E.D., and White, K.L., Jr. A statistical approach to the construction and analysis of isobolograms. J. Am. Coll. Toxicol. 7:963–973, 1988. (S)
12. Draper, N. and Smith, H. Applied Regression Analysis, 2nd ed. Wiley, New York, 1981. (S)
13. Eisenstein, T.K., Meissler, J.J., Tallarida, R.J., Rogers, T.J., Geller, E., and Adler M.W. Combination of opioids with selectivity for mu or delta receptors exhibit dose-dependent super-and sub-additive effects on splenic plaque-forming cell responses. (Abstract) Soc. Leukocyte Biol., Baltimore, Dec., 1997.
14. Fairbanks, C.A. and Wilcox, G.L. Spinal antinociceptive synergism between morphine and clonidine persists in mice made acutely or chronically tolerant to morphine. J. Pharmacol. Exp. Ther. 288:1107–1116, 1999.
15. Fieller, E.C. A fundamental formula in the statistics of biological assay and some applications. Quart. J. Pharmacy and Pharmacol. 17:117–123, 1944. (S)
16. Finney, D.J. The analysis of toxicity tests on mixtures of poisons. Ann. Appl. Biol. 29:82–94, 1942. (S)
17. Finney, D.J. Probit Analysis, 3rd ed. Cambridge, 1971. (S)
18. Fisher, R.A. Appendix to Bliss, C.I. The case of zero survivors. Ann. Appl. Biol. 22: 164–165, 1935. (S)
19. Freeman, K.A., Bove, A.A., and Tallarida, R.J. Additive and super-additive combinations of diltiazem and glyceryl trinitrate in isolated rabbit aorta. Drug Dev. Res. 25: 171–179, 1992.
20. Gaddum, J. H. Reports on biological standards, III. Methods of biological assay depending on a quantal response. Spec. Rep. Ser. Med. Res. Council, London, no. 183, 1933. (S)
21. Gennings, C, Carter, W.H., Jr., Campbell, E.D., Staniswalis, J.G., Martin, T.J., Martin, B.R., and White, K.L., Jr., Isobolographic characterization of drug interactions incorporating biological variability. J. Pharmacol. Exp. Ther. 252:208–217, 1990. (S)
22. Gentili, M., Houssel, P., Osman, M., Henel, D., Juhel, A., and Bonnet, F. Intra-articular morphine and clonidine produce comparable analgesia but the combination is not more effective. Br. J. Anaesth. 79:660–661, 1997.
23. Gessner, P.K. The isobolographic method applied to drug interactions. In Drug Interactions, Morselli, P.L., Garattini, S., and Cohen, S.N., Eds. Raven Press, New York, 1974.
24. Gessner, P.K. and Cabana, B.E. A study of the hypnotic and of the toxic effects of chloral hydrate and ethanol. J. Pharmacol. Exp. Ther. 174: 247–259, 1970.
25. Hammond, D.L., Donahue, B.B., and Stewart, P.E. Role of spinal delta-1 and delta-2 opioid receptors in the antinociception produced by microinjection of L-glutamate in the ventromedial medulla of the rat. Brain Res. 765:177–181, 1997.
26. Hammond, D.L., Hurley, R.W., Glabow, T.S., and Tallarida, R.J. Characterization of the interaction between supraspinal and spinal delta-1 and delta-2 opioid receptors in the production of antinociception in the rat. (Abstract) Soc. Neurosci. 1998.
27. Hewlett, P.S. and Plackett, R.L. The Interpretation of Quantal Responses in Biology. University Park Press, Baltimore, 1979. (S)
28. Horan, P., Tallarida, R.J., Haaseth, R.C., Matsunaga, T.O., Hruby, V.J., and Porreca, F. Antinociceptive interactions of opioid delta receptor agonists with morphine in mice: Supra-and sub-additivity. Life Sci. 50: 1535–1541, 1992.
29. Hurley, R.W., Grabow, T.S. Tallarida, R.J., and Hammond, D.L. Interaction between medullary and spinal delta-1 and delta-2 opioid receptors in the production of antinociception in the rat. J. Pharmacol. Exp. Ther. 289:993–999, 1999.
30. Kimmel, H.L., Tallarida, R.J., and Holtzman, S.G. Synergism between buprenorphine and cocaine on the rotational behavior of the nigrally-lesioned rat. Psychopharmacology. 133:372–377, 1997.
31. Lashbrook, J., Ossipov, M.H., Hunter, J.C., Raffa, R.B., Tallarida, R.J., and Porreca, F. Synergistic antiallodynic effects of spinal morphine with ketorollac and selective COX-1 and COX-2 inhibitors in nerve-injured rats. Pain 82:65–72, 1999.
32. Lee, N.M., Leybin, L., Chang, J.K., and Loh, H.H. Opiate and peptide interaction: Effect of enkephalins on morphine analgesia. Eur. J. Pharmacol. 68: 181, 1980.
33. Loewe, S. Die Mischiarnei. Klin. Wochenschr. 6:1077–1085, 1927. (S)
34. Loewe, S. Die quantitativen Probleme der Pharmakologie. Ergebn. Physiol. 27:47–187, 1928. (S)
35. Loewe, S. The problem of synergism and antagonism of combined drugs. Arzneimittelforschung 3:285–290, 1953. (S)
36. Loewe, S. Antagonism and antagonists. Pharmacol. Rev. 9:237–242, 1957. (S)
37. Mattia, A., Vanderah, T., Raffa, R.B., Vaught, J.L., Tallarida, R.J., and Porreca, F. Characterization of the unusual antinociceptive profile of tramadol in mice. Drug Dev. Res. 28:176–182, 1992.
38. McCary, J.D. and Tallarida, R.J. A program for analyzing synergistic interactions from dose-effect data. Analgesia 3:297–305, 1998. (S)
39. McGowan, M.K. and Hammond, D.L. Intrathecal GABA-B antagonists attenuate the antinociception produced by microinjection of L-glutamate into the ventromedial medulla of the rat. Brain Res. 607:39–46, 1993.
40. Ossipov, M.H., Harris, S., Lloyd, P., and Messineo, E. An isobolographic analysis of the antinociceptive effect of systemically and intrathecally administered combinations of clonidine and opiates. J. Pharmacol. Exp. Ther. 255:1107–1116, 1990.
41. Ossipov, M.H., Lozito, R., Messineo, E., Green, J., Harris, S., and Lloyd, P. Spinal antinociceptive synergy between clonidine and morphine, U69593, and DPDPE: Isobolographic analysis. Life Sci. 46:PL71–76, 1990.
42. Pircio, A.W., Buyniski, J.P., and Roebel, L.E. Pharmacological effects of a combination of butorphanol and acetaminophen. Arch. Int. Pharmacodyn. 235:116–123, 1978.
43. Plummer, J.L. and Short, T.G. Statistical modeling of the effects of drug combinations. J. Pharmacol. Methods. 23:297–309, 1990. (S)
44. Porreca, F., Jiang, Qi, and Tallarida, R.J. Modulation of morphine antinociception by peripheral [Leu5]-enkephalin: A synergistic interaction. Eur. J. Pharmacol. 179: 463–468, 1990.
45. Porreca, F., Mosberg, H.I., Hurst, R., Hruby, V.J., and Burks, T.J. Roles of mu, delta and kappa opioid receptors in spinal and supraspinal mediation of gastrointestinal transit effects and hot plate analgesia in the mouse. J. Pharmacol. Exp. Ther. 230: 341–348, 1984.
46. Price, D.D., Mao, J., Juan, L., Caruso, F.S., Frenk, H., and Mayer, D.J. Effects of the combined oral administration of NSAIDS and dextromethorphan on behavioral symptoms indicative of arthritic pain in rats. Pain 68:119–127, 1996.
47. Raffa, R.B., Friderichs, E., Reimann, W., Shank, R.P., Codd, E.E., Vaught, J.L., Jacoby, H.I., and Selve, N. Complementary and synergistic antinociceptive interaction between the enantiomers of tramadol. J. Pharmacol. Exp. Ther. 267:331–340, 1993.
48. Raffa, R.B., Stone, D.J., and Tallarida, R.J. Antinociceptive self synergy between spinal and supraspinal acetaminophen (Paracetamol). International Pain Conference Austria, 1999.
49. 2–D-Leu-Enkephalin in morphine-tolerant and nontolerant mice. J. Pharmacol. Exp. Ther. 257:1091–1099, 1991.
50. Sofuoglo, M., Portoghese, P.S., and Takemori, A.E. Differential antagonism of delta opioid agonists by naltrindole and its benzofuran analog (NTB) in mice: Evidence for delta receptor subtypes. J. Pharmacol. Exp. Ther. 257:676–680, 1991.
51. Tallarida, R.J. Statistical analysis of drug combinations for synergism. Pain 49:93–97, 1992. (S)
52. Tallarida, R.J. and Murray, R.B. Manual of Pharmacologic Calculation with Computer Programs, 2nd ed. Springer Verlag, New York, 1987. (S)
53. Tallarida, R.J. and Raffa, R.B. Testing for synergism over a range of fixed ratio drug combinations: Replacing the isobologram. Life Sci. 58:PL23–28, 1996. (S)
54. Tallarida, R.J., Kimmel, H.L and Holtzman, S.G. Theory and statistics of detecting synergism between two active drugs: Cocaine and buprenorphine. Psychopharmacology 133:378–382, 1997. (S)
55. Tallarida, R.J., Porreca, F., and Cowan, A. Statistical analysis of drug-drug and site-site interactions with isobolograms. Life Sci. 45:947–961, 1989. (S)
56. Tallarida, R.J., Stone, D.J., and Raffa, R.B. Efficient designs for studying synergistic drug combinations. Life Sci. 61:PL417–425, 1997. (S)
57. Tallarida, R.J., Stone, D.J., McCary, J.D., and Raffa, R.B. A response surface analysis of synergism between morphine and clonidine. J. Pharmacol. Exp. Ther. 289:8–13, 1999. (S)
58. Wessinger, W.D. Approaches to the study of drug interactions in behavioral pharmacology. Neurosci. Biobehav. Rev. 10:103–113, 1986.
59. Wilcox, G.L., Carlsson, K.H., Jochim, A., and Jurna, I. Mutual potentiation of antinociceptive effects of morphine and clonidine on motor and sensory responses in rat spinal cord. Brain Res. 405:84–93, 1987.
60. Woolverton, W.L. Analysis of drug interactions in behavioral pharmacology. In Neurobehavioral Pharmacology, Thompson, T., Dews, P.B., and Barrett, J.E. Eds. Lawrence Erlbaum Assoc., Hillsdale, NJ 275–302, 1987.
61. Yeung, J.C. and Rudy, T.A. Multiplicative interactions between narcotic agonisms expressed at spinal and supraspinal sites of antinociceptive action as revealed by concurrent intrathecal and intracerebroventricular injections of morphine. J. Pharmacol. Exp. Ther. 215:633–642, 1980.
62. Ariens, E.J. Molecular Pharmacology, V. 1, Academic Press, New York, 1964.
63. Bliss, C.I. Statistics in Biology, V. 1. McGraw-Hill, New York, 1967.
64. Busby, R.C. and Tallarida, R.J. On the analysis of straight-line data in pharmacology and biochemistry. J. Theor. Biol. 93:867–879, 1981.
65. Chen, X.H., Liu-Chen, L.Y., Tallarida, R.J., Geller, E.B., de Riel, J.K., and Adler, M.W. Use of a mu-antisense oligodeoxynucleotide as a mu-opioid receptor noncompetitive antagonist in vivo. Neurochem. Res. 21:1363–68, 1996.
66. Finney, D.J. Probit Analysis, 3rd ed. Cambridge, 1971.
67. Goldstein, A., Aronow, L., and Kalman, S.M. Principles of Drug Action, 2nd ed. Wiley, New York, 1974.
68. Kenakin, T.P. Pharmacologic Analysis of Drug-Receptor Interaction. 3rd ed. Lippincott Williams and Wilkins, Philadelphia, 1997.
69. Lauffenburger, D.A. and Linderman, J.J. Receptors. Oxford University Press, Oxford, 1993.
70. Pizziketti, R.J., Pressman, N.S., Geller, E.B., Cowan, A., and Adler, M.W. Rat cold water tail-flick: A novel analgesic test that distinguishes opioid agonists from mixed agonist-antagonists. Eur. J. Pharmacol. 119:23–29, 1985.
71. Raffa, R.B., Tallarida, R.J., and Gero, A. Determination of the stimulus-response relation for three alpha-adrenergic agonists on rabbit aorta. Arch. Int. Pharmacodyn. Ther. 241: 197–207, 1979.
72. Tallarida, R.J. and Jacob, L.S. The Dose-Response Relation in Pharmacology. Springer-Verlag, New York, 1979.
73. Tallarida, R.J., Raffa, R.B., and McGonigle, P. Principles in General Pharmacology. Springer-Verlag, New York, 1988.
74. Draper, N. and Smith, H. Applied Regression Analysis, 2nd ed. John Wiley, New York, 1981.
75. Kimmel, H.L., Tallarida, R.J., and Holtzman, S.G. Synergism between buprenorphine and cocaine on the rotational behavior of the nigrally-lesioned rat. Psychopharmacology 133:372–377, 1997.
76. Tallarida, R.J., Kimmel, H.L., and Holtzman, S.G. Theory and statistics of detecting synergism between two active drugs: Cocaine and buprenorphine. Psychopharmacology 133:378–382, 1997.
77. Bliss, C.I. Statistics in Biology. McGraw-Hill, New York, 1967.
78. Daniel, W.W. Biostatistics: A Foundation for Analysis in the Health Sciences. Wiley, New York, 1991.
79. Snedecor, G.W. and Cochran, W.G. Statistical Methods. Iowa State University Press, Ames, 1967. 8th ed., 1989.
80. Tallarida, R.J. Statistical analysis of drug combinations for synergism. Pain 49:93–97, 1992.
81. Tallarida, R.J., Porreca, F., and Cowan, A. Statistical analysis of drug-drug and site-site interactions with isobolograms. Life Sci. 45:947–961, 1989.
82. Tallarida, R.J., Stone, D.J., and Raffa, R.B. Efficient designs for studying synergistic drug combinations. Life Sci. 61:PL417–425, 1997.
83. Draper, N. and Smith, H. Applied Regression Analysis, 2nd ed., John Wiley, 1981.
84. Finney, D.J. Probit Analysis, 3rd ed. Cambridge, 1971.
85. Snedecor, G.W. and Cochran, W.G., Statistical Methods. Iowa State University Press, Ames, 1967. 8th ed., 1989.
86. Tallarida, R.J., Stone, D.J., and Raffa, R.B. Efficient designs for studying synergistic drug combinations. Life Sci. 61:PL417–425, 1997.
87. Bliss, C.I. The method of probits. Science 79:38–39, 1934, and a correction, Science 79:409–410, 1934.
88. Finney, D.J. Probit Analysis, 3rd ed. Cambridge University Press, Cambridge, 1971.
89. Gaddum, J.H. Reports on biological standards, III. Methods of biological assay depending on the quantal response. Spec. Rep. Ser. Med. Res. Coun. London, no. 183, 1933.
90. Litchfield, J.T. and Wilcoxon, F. A simplified method of evaluating dose-effect experiments. J. Pharmacol. Exp. Ther. 95:99–113, 1949.
91. Raffa, R.B., Stone, D.J. and Tallarida, R.J. (abstract, reporting preliminary results) Antinociceptive self-synergy between spinal and supraspinal acetaminophen (paracetamol). 9th World Congress on Pain, Vienna, 1999.
92. Tallarida, R.J. and Murray, R.B. Manual of Pharmacologic Calculations with Computer Programs, 2nd ed. Springer-Verlag, New York, 1987.
93. Tallarida, R.J. and Raffa, R.B. Testing for synergism over a range of fixed-ratio drug combinations: replacing the isobologram. Life Sci. 58:PL23–28, 1996.
94. Ariens, E.J. Molecular Pharmacology I. Acad. Press, N.Y., p. 169, 1964.
95. Tallarida, R.J. Pocket Book of Integrals and Mathematical Formulas 3rd ed. Chapman & Hall/CRC, Boca Raton, p. 68, 1999.
96. Arunlakshana O. and Schild, H.O. Some quantitative use of drug antagonists. Br. J. Pharmacol. 14:48, 1959.
97. Braverman, A. and Ruggieri, M. Submitted for publication, 2000.
98. Bjorkman, R. Acta Anaesthesiol. Scand. 39 (Suppl. 103):2, 1995.
99. Collier, H.O., Dinneen, L.C., Johnson, C.A., and Schneider, C. The abdominal constriction response and its suppression by analgesic drugs in the mouse. Brit. J. Pharmacol. 32:295, 1968.
100. Haley, T.J. and McCormick, W.G. Pharmacological effects produced by intracerebral injections of drugs in the conscious mouse. Brit. J. Pharmacol. 12:12, 1957.
101. Hylden, J.L.K. and Wilcox, G.L. Intrathecal morphine in mice: a new technique. Eur. J. Pharmacol. 67: 313, 1980.
102. Hurley, R.W., Grabow, T.S., Tallarida, R.J., and Hammond, D.L. Interaction between medullary and spinal delta-1 and delta-2 opioid receptors in the production of antinociception in the rat. J. Pharmacol. Exp. Ther. 289:993–999, 1999.
103. 5]enkephalin: a synergistic interaction. Eur. J. Pharmacol.179:463–468, 1990
104. Raffa, R.B., Stone, D., and Tallarida, R.J. Abstract. Antinociceptive self synergy between spinal and supraspinal acetaminophen (paracetamol). Int. Assoc. for the Study of Pain, Austria, 1999.
105. 5 enkephalin in morphine-tolerant and nontolerant mice. J. Pharmacol. Exp. Ther. 257:1091–1099, 1991.
106. 2 and receptor differentiation: A statistical analysis of competitive antagonism. Life Sci. 25:637–653, 1979.
107. Vezza, R., Spina, D., Tallarida, R.J., Malevika, N., Page, C.P., and Gresele, P. Antivasoconstrictor and antiaggregatory activities of picotamide unrelated to thromboxane A2 antagonism. Thromb. Haem. 78:1385–91, 1997.
108. Walker, J.S. NSAID: an update on their analgesic effects. Clin. Exper. Pharmacol. Physiol. 22:855, 1995.
109. Yeung, J.C. and Rudy, R.A. Multiplicative interaction between narcotic agonisms expressed at spinal and supraspinal sites of action as revealed by concurrent intrathecal and intracerebroventricular injections of morphine. J. Pharmacol. Exp. Ther. 215:633–642, 1980.
110. Adams, J.U., Tallarida, R.J., Geller, E.B., and Adler, M.W. Isobolographic superadditivity between delta and mu opioid agonists in the rat depends on the ratio of the compounds, the mu agonist and the analgesic assay used. J. Pharmacol. Exp. Ther. 266:1261–1267, 1993.
111. Fairbanks, C.A. and Wilcox, G.I. Spinal antinociceptive synergism between morphine and clonidine persists in mice made acutely or chronically tolerant to morphine. J. Pharmacol. Exp. Ther. 288:1107–1116, 1999.
112. Hurley, R.W., Grabow, T.S., Tallarida, R.J., and Hammond, D L. Interaction between medullary and spinal delta-1 and delta-2 opioid receptors in the production of antinociception in the rat. J. Pharmacol. Exp. Ther. 289:993–999, 1999.
113. Hylden, J.L.K. and Wilcox, G.L. Intrathecal morphine in mice: a new technique. Eur. J. Pharmacol. 67:313–316, 1980.
114. Meissler Jr., J.J., Adler, M.W., Rogers, T.J., Geller, E.B., Tallarida, R.J., and Eisenstein, T.K. Super-and sub-additive interactions of morphine and deltorphin in inducing immunosuppression. NIDA Monograph Series. 178:200, 1998.
115. Ossipov, M.H., Harris, S., Lloyd, P., and Messineo, E. An isobolographic analysis of the antinociceptive effect of systemically and intrathecally administered combinations of morphine and clonidine. J. Pharmacol. Exp. Ther. 255:1107–1115, 1990.
116. Ossipov, M.H., Lozito, R., Messineo, E., Green, J., Harris, S., and Lloyd, P. Spinal antinociceptive synergy between clonidine and morphine, U69593, and DPDPE: Isobolographic analysis. Life Sci. 46:PL71–PL76, 1990a.
117. Raffa, R.B. and Stone, D.J. Could dual G-protein coupling explain [D-Met2]-FMRFamide’s mixed action in vivo? Peptides 17:1261–1265, 1996.
118. Tallarida, R.J., Stone, D.J., McCary, J.D., and Raffa, R.B. A response surface analysis of synergism between morphine and clonidine. J. Pharmacol. Exp. Ther. 289:8–13, 1999.
119. Tallarida, R.J., Stone, D.J., and Raffa, R.B. Efficient designs for studying synergistic drug combinations. Life Sci. 61:PL417–425, 1997.
120. Wilcox, G.L., Carlsson, K.H., Jochim, A., and Jurna, I. Mutual potentiation of antinociceptive effects of morphine and clonidine on motor and sensory responses in rat spinal cord. Brain Res. 405:84–93, 1987.
121. Rainville, E.D. and Bedient, P.E. Elementary Differential Equations, 7th ed. Macmillan, New York, 1989.
122. Weisstein, E.W. CRC Concise Encyclopedia of Mathematics. Chapman & Hall/CRC, Boca Raton, 1999.
123. Cochran, W.G. Appendix to a paper by F. Tattersfield and J.T. Martin, Ann. Appl. Biol. 25:426–429, 1938.
124. Fieller, E.C. A fundamental formula in the statistics of biological assay, and some applications. Quart. J. Pharm. 17:117–123, 1944.
125. Finney, D.J. Statistical Methods in Biological Assay, 2nd ed. London, Charles Griffin and Co. Ltd., 1964.