메뉴 건너뛰기




Volumn 46, Issue 1, 2004, Pages 56-71

Nonlinear response surface and mixture experiment methodologies applied to the study of synergism

Author keywords

Antagonism; Mixture amount model; Nonlinear regression; Pharmacometrics; Process variable; Response surface; Synergism

Indexed keywords

NONLINEAR EQUATIONS;

EID: 22144454082     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/bimj.200210002     Document Type: Article
Times cited : (27)

References (35)
  • 1
    • 0033976780 scopus 로고    scopus 로고
    • Modeling synergistic and anagonistic interactions in xenobiotic compounds
    • Alonso-Amelot, M. E. and Calcagno, M. P. (2000). Modeling synergistic and anagonistic interactions in xenobiotic compounds. Journal of Chemical Ecology 26(2), 513-531.
    • (2000) Journal of Chemical Ecology , vol.26 , Issue.2 , pp. 513-531
    • Alonso-Amelot, M.E.1    Calcagno, M.P.2
  • 3
    • 0022891244 scopus 로고
    • Design of experiments for the precise estimation of dose-response parameters: The hill equation
    • Bezeau, M. and Endrenyi, L. (1986). Design of experiments for the precise estimation of dose-response parameters: the hill equation. Journal of Theoretical Biology 123, 415-430.
    • (1986) Journal of Theoretical Biology , vol.123 , pp. 415-430
    • Bezeau, M.1    Endrenyi, L.2
  • 5
    • 0029591889 scopus 로고
    • Relating isobolograms to response surfaces
    • Carter, W. H. Jr. (1995). Relating isobolograms to response surfaces. Toxicology 105, 181-188.
    • (1995) Toxicology , vol.105 , pp. 181-188
    • Carter Jr., W.H.1
  • 6
    • 0142035538 scopus 로고    scopus 로고
    • Optimal designs for experiments with mixtures: A survey
    • Chan, L. Y., 2000: Optimal designs for experiments with mixtures: a survey. Communications in Statistics -Theory and Methods 29(9 & 10), 2281-2312.
    • (2000) Communications in Statistics -theory and Methods , vol.29 , Issue.9-10 , pp. 2281-2312
    • Chan, L.Y.1
  • 7
    • 0029222605 scopus 로고
    • Fitting models to data from mixture experiments containing other factors
    • Cornell, J. A. (1995). Fitting models to data from mixture experiments containing other factors. Journal of Quality Technology 27(1), 13-33.
    • (1995) Journal of Quality Technology , vol.27 , Issue.1 , pp. 13-33
    • Cornell, J.A.1
  • 9
    • 0002382654 scopus 로고
    • Design of experiments with both mixture and qualitative factors
    • Donev, A. N. (1989). Design of experiments with both mixture and qualitative factors. Journal of the Royal Statistical Society B 51(2), 297-302.
    • (1989) Journal of the Royal Statistical Society B , vol.51 , Issue.2 , pp. 297-302
    • Donev, A.N.1
  • 10
    • 0033104229 scopus 로고    scopus 로고
    • Folic acid-enhanced synergy for the combination of trimetrexate plus the glycinamide ribonucleotide formyltransferase inhibitor 4-[2-(2-amino-4-oxo-4,6, 7,8-tetrahydro-3H-pyrimidino[5,4,6][1,4]thiazin-6-yl)-(S)-ethyl]-2, 5-thienoylamino-L-glutamic acid (AG2034): Comparison across sensitive and resistant human tumor cell lines
    • Faessel, H. M., Slocum, H. K., Rustum, Y. M., and Greco, W. R. (1999). Folic acid-enhanced synergy for the combination of trimetrexate plus the glycinamide ribonucleotide formyltransferase inhibitor 4-[2-(2-amino-4-oxo-4,6, 7,8-tetrahydro-3H-pyrimidino[5,4,6][1,4]thiazin-6-yl)-(S)-ethyl]-2, 5-thienoylamino-L-glutamic acid (AG2034): comparison across sensitive and resistant human tumor cell lines. Biochemical Pharmacology 57, 567-577.
    • (1999) Biochemical Pharmacology , vol.57 , pp. 567-577
    • Faessel, H.M.1    Slocum, H.K.2    Rustum, Y.M.3    Greco, W.R.4
  • 11
    • 0032527904 scopus 로고    scopus 로고
    • Super in vitro synergy between inhibitors of dihydrofolate reductase and inhibitors of other folate-requiring enzymes: The critical role of polyglutamylation
    • Faessel, H. M., Slocum, H. K., Jackson, R. C., Boritzki, T. J., Rustum, Y. M., Nair, M. G. and Greco, W. R. (1998). Super in vitro synergy between inhibitors of dihydrofolate reductase and inhibitors of other folate-requiring enzymes: the critical role of polyglutamylation. Cancer Research 58, 3036-3050.
    • (1998) Cancer Research , vol.58 , pp. 3036-3050
    • Faessel, H.M.1    Slocum, H.K.2    Jackson, R.C.3    Boritzki, T.J.4    Rustum, Y.M.5    Nair, M.G.6    Greco, W.R.7
  • 12
    • 0029067263 scopus 로고
    • Analysis of anticolvulsant and neurotoxic responses to combination therapy with Carbamazepine, Felbamate and Phenytoin by response-surface modeling
    • Gennings, C., Sophia, R. D., Carchman, R. A., Carter, W. H. Jr., and Swinyard, E. A. (1995). Analysis of anticolvulsant and neurotoxic responses to combination therapy with Carbamazepine, Felbamate and Phenytoin by response-surface modeling. Arzneimittel-Forschung/Drug Research 45(II,7), 739-748.
    • (1995) Arzneimittel-forschung/Drug Research , vol.45 , Issue.2-7 , pp. 739-748
    • Gennings, C.1    Sophia, R.D.2    Carchman, R.A.3    Carter Jr., W.H.4    Swinyard, E.A.5
  • 13
    • 0029562981 scopus 로고
    • An efficient experimental design for detecting departure from additivity in mixtures of many chemicals
    • Gennings, C. (1995). An efficient experimental design for detecting departure from additivity in mixtures of many chemicals. Toxicology 105, 189-197.
    • (1995) Toxicology , vol.105 , pp. 189-197
    • Gennings, C.1
  • 16
    • 0025113618 scopus 로고
    • Application of a new approach for the quantitation of drug synergism to combination of cis-diamminedichloroplatinum and l-_-D-arabinofuranosylcytosine
    • Greco, W. R., Park, H. S., and Rustum, Y. M. (1990). Application of a new approach for the quantitation of drug synergism to combination of cis-diamminedichloroplatinum and l-_-D-arabinofuranosylcytosine. Cancer Research 50, 5318-5327.
    • (1990) Cancer Research , vol.50 , pp. 5318-5327
    • Greco, W.R.1    Park, H.S.2    Rustum, Y.M.3
  • 17
    • 0029036955 scopus 로고
    • A search for synergy: A critical review from a response surface perspective
    • Greco, W. R., Bravo, G., and Parsons, J. C. (1995). A search for synergy: a critical review from a response surface perspective. Pharmacological Reviews 47(2), 331-385.
    • (1995) Pharmacological Reviews , vol.47 , Issue.2 , pp. 331-385
    • Greco, W.R.1    Bravo, G.2    Parsons, J.C.3
  • 18
    • 0014577385 scopus 로고
    • Measurement of the potencies of drug mixtures
    • Hewlett, P. S. (1969). Measurement of the potencies of drug mixtures. Biometrics 25, 477-487.
    • (1969) Biometrics , vol.25 , pp. 477-487
    • Hewlett, P.S.1
  • 20
    • 0033458487 scopus 로고    scopus 로고
    • Design efficiency and estimation for component amount models
    • Hilgers, R. D. (1999). Design efficiency and estimation for component amount models. Biometrical Journal 41(7), 783-798.
    • (1999) Biometrical Journal , vol.41 , Issue.7 , pp. 783-798
    • Hilgers, R.D.1
  • 21
    • 0003043542 scopus 로고
    • The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves
    • Hill, A.V. (1910). The possible effects of the aggregation of the molecules of haemoglobin on its dissociation curves. Journal of Physiology 40, iv-vii.
    • (1910) Journal of Physiology , vol.40
    • Hill, A.V.1
  • 22
    • 0034026479 scopus 로고    scopus 로고
    • Synergistic interactions among antifolates
    • Kisliuk, R. L. (2000). Synergistic interactions among antifolates. Pharmacology and Therapeutics 85, 183-190.
    • (2000) Pharmacology and Therapeutics , vol.85 , pp. 183-190
    • Kisliuk, R.L.1
  • 24
    • 0027939470 scopus 로고
    • A direct, general approach based on isobolograms for assessing the joint action of drugs in preclinical experiments
    • Machado, S.G. and Robinson, G. A. (1994). A direct, general approach based on isobolograms for assessing the joint action of drugs in preclinical experiments. Statistics in Medicine 13, 2289-2309.
    • (1994) Statistics in Medicine , vol.13 , pp. 2289-2309
    • Machado, S.G.1    Robinson, G.A.2
  • 25
    • 0022113312 scopus 로고
    • Models for mixture experiments when the response depends on the total amount
    • Piepel, G. F. and Cornell, J. A. (1985). Models for mixture experiments when the response depends on the total amount. Technometrics 27(3), 219-227.
    • (1985) Technometrics , vol.27 , Issue.3 , pp. 219-227
    • Piepel, G.F.1    Cornell, J.A.2
  • 26
    • 0024105863 scopus 로고
    • A note on models for mixture-amount experiments when the total amount takes a zero value
    • Piepel, G. F. (1988). A note on models for mixture-amount experiments when the total amount takes a zero value. Technometrics 30(4), 449-450.
    • (1988) Technometrics , vol.30 , Issue.4 , pp. 449-450
    • Piepel, G.F.1
  • 29
    • 0026774681 scopus 로고
    • Zero interaction response surfaces, interaction functions and difference response surfaces for combinations of biologically active agents
    • Suhnel, J. (1992). Zero interaction response surfaces, interaction functions and difference response surfaces for combinations of biologically active agents. Arzneimittel-Forschung/Drug Research 42-2(10), 1251-1258.
    • (1992) Arzneimittel-forschung/Drug Research , vol.2-42 , Issue.10 , pp. 1251-1258
    • Suhnel, J.1
  • 30
    • 0142130847 scopus 로고
    • Comparison between the method of Chou and Talalay and a new method for the assessment of the combined effects of drugs: A Monte-Carlo simulation study
    • Syracuse, K. C. and Greco, W. R. (1986). Comparison between the method of Chou and Talalay and a new method for the assessment of the combined effects of drugs: a Monte-Carlo simulation study. American Statistical Association Proceedings of the Biopharmaceutical Section, 127-132.
    • (1986) American Statistical Association Proceedings of the Biopharmaceutical Section , pp. 127-132
    • Syracuse, K.C.1    Greco, W.R.2
  • 34
    • 0142074686 scopus 로고    scopus 로고
    • A new nonlinear mixture response surface paradigm for the study of synergism: A three drug example
    • White, D. B., Slocum, H. K., Brun, Y., Wrzosek, C., and Greco, W. R. (2003). A new nonlinear mixture response surface paradigm for the study of synergism: a three drug example. Current Drug Metabolism 4, 399-409.
    • (2003) Current Drug Metabolism , vol.4 , pp. 399-409
    • White, D.B.1    Slocum, H.K.2    Brun, Y.3    Wrzosek, C.4    Greco, W.R.5
  • 35
    • 0035099139 scopus 로고    scopus 로고
    • Robust two-stage estimation in hierarchical linear models
    • Yeap, Y. Y. and Davidian, M. (2001). Robust two-stage estimation in hierarchical linear models. Biometrics 57, 266-272.
    • (2001) Biometrics , vol.57 , pp. 266-272
    • Yeap, Y.Y.1    Davidian, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.