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Mathematical and Statistical Characterization of LD50 Estimation  

Kim Se Ki (성균관대학교 자연과학대학)
Kim Keun-Chong (홍익대학교 상경대학)
Lee Byung Mu (성균관대학교 약학대학)
Publication Information
Toxicological Research / v.20, no.4, 2004 , pp. 321-324 More about this Journal
Abstract
Lethal dose 50% ($LD_{50}$) has been commonly used as a parameter for the estimation of acute toxicity not only in animal experiment, but also in human study. Several methods to estimate $LD_{50}$ had been introduced, but Spearman-Karber and Berens-Karber method have been widely used due to their relative convenience and accuracy. However, $LD_{50}$ values estimated from the two methods showed inconsistency and variation depending on the characteristics of mortality data. In this study, the two methods were comparatively investigated in terms of accuracy and stability for the estimation of $LD_{50}$.
Keywords
Lethal dose 50% $LD_{50}$); Spearman-Karber; Berens-Karber;
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1 An, Y.J. (2004): Soil ecotoxicity assessment using cadmium sensitive plants. Environ. Pollut., 127, 21-26
2 Bliss, C.I. (1934): The method of method of probits-A, Correction Science, 79, 409-410   DOI   PUBMED
3 Hamilton, M.A., Russo, R.C. and Thurston, R.C. (1997): Trimmed Spearman-Karber method for estimating median lethal concentration in toxicity bioassays. Evn. Sci. Technol., 7, 714-719
4 Lynn, DE (2001): Effects of temperature on the susceptibility of insect cells to infection by baculoviruses. Methods Cell Sci., 23, 221-225
5 Park, H.S., Hong, C.Y., Oh, J.A, Yun, S.C. and Lee, B.M. (1996): Toxicological evaluation of median lethal dose $(LD_{50})$. Kor. J. Toxicol. 12, 143-154
6 Suarez, A, Echandi, M.M., Ulate, G. and Ciccio, J.F. (2003): Pharmacological activity of the essential oil of Satureja viminea (Lamiaceae). Rev. BioI. Trop., 51, 247-252
7 Jung, H. and Choi, S.C. (1994): Sequential method of estimating the $LD_{50}$ using a modified up-and-down rule. J. Biopharm. Stat., 4, 19-30   DOI   ScienceOn
8 Finney, D.J. (1971): Chapter 3 and 4 in probits Analysis (Cambridge University Press, Cambridge UK
9 Thakur, AK. and Fezio, WL. (1981): A computer program for estimating $LD{50}$ and its confidence limits using modified Behrens-Reed-Muench cumulant method. Drug Chem. Toxicol., 4, 297-305
10 Miller, J. and Ulrich, R. (2004): A computer program for Spearman-Karber and probil analysis of psychometric function data. Behav. Res. Methods Instrum. Comput., 36, 11-16
11 Wilbrandt, W. (1952): [Behrens methods for calculation of $LD_{50}$]. Arzneimittelforschung., 2, 501-503.
12 Litchfield, J.T. (1949): Asimplified method of evaluating doseeffect experiments. J. Pharmacol. Exp. Ther., 96, 99-115
13 Hunter, W.J., Lingk, W. and Recht, P. (unpublished document, not dated): An intercomparison study conducted by the Commision of the European Communities of the determination of the single the Health and Safety Directorate (Commision of the European Communities
14 Behrens, B. and Schlosser, L. (1957): [Determination of $LD_{50}$ and calculation of the error range], Naunyn. Schmiedebergs. Arch. Exp. Pathol. Pharmakol., 230, 59-72.
15 Brownlee, K.A., Hodges, J.L. and Rosenbaltt, M. (1953): The up-and-down method with small samples. J. Am. Statist. Assoc., 48, 262-277   DOI   ScienceOn
16 Benjumovich, M.S. (2001): The application of Poisson units to the determination of median lethal cell culture dose, Toxicol. In Vitro, 15. 671-675
17 Van der Heuvel, M.J., Clark, D.G., Fielder, R.J., Koundakjian, P.P., Oliver, G.J.A., Pelling, D., Thomlison, N.J. and Walker, A.P. (1990): The international validation of a fixed dose procedure as an alernative to the classical $LD{50}$ test. Food Chem. Toxicol., 28, 469-482.
18 Lee, B.M., Yoo, S.D. and Kim, S. (2002): A proposed methodology of cancer risk assessment modeling using biomarkers. J. Toxicol. Environ. Health, 65, 341-354   DOI   ScienceOn
19 Trevan, J.W (1927): The error of determination of toxicity. Pro. Royal Soc. Lond., 101B, 483-514
20 Zbinden, G. and Flury-Roversi, M. (1981): Significance of the $LD{50}$-test for the toxicoioqical evaluation of chemical substances. Arch Toxicol., 47, 77-99
21 Rosiello, A.P., Essignmann, J.M. and Wogan, G.N. (1977): Rapid and accurate determination of the median lethal dose $(LD_{50})$ and its error with a small computer. J. Toxicol. Environ. Health, 3, 797-809   DOI   ScienceOn