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Detailed Algorithms of Interactive Computer Programs in MATLAB for the Calculation of LDso and Other LD Values Using Methods of Finney, Miller-Tainter and Comparison with OECD Modifications

Milan B. ArambaSic', Mohammad A. Randhawa’ and Vladan M. Arandjelovic*

1) Pharmaceutical factory “Galenika a.d.”, Quality Control Dept., Biological
Control Div., Batajnicki put bb., 11.080 Beograd-Zemun, Serbia
2) College of Medicine, Northern Border University, P.O. Box 1321, Arar, 91431,
Saudi Arabia
3) Pharmaceutical factory “Galenika a.d.”, Technical and Logistic Dept., Batajnicki
put bb., 11.080 Beograd- Zemun, Serbia

Milan B. Arambasi¢, Mohammad A. Randhawa and Vladan M. Arandjelovi¢. Detailed Algorithms of Interactive Computer Programs in MATLAB for the Calculation of LDso and Other LD Values Using Methods of Finney, Méiller-Tainter and Comparison with OECD Modifications. Asian Journal of Pharmacology and Toxicology, 03(12), 2015, 10-26.
Abstract
A test example for LDs ) determination for thymoquinone administered intraperitoneally in rats, demonstrates the implementation of interactive computer programs for computing LDso and other LD values using Finney method (Program 'LDsomortality- Finney') and Miller-Tainter method (Program 'LDsomortality- Miller-Tainter'), written in MATLAB. Detailed program algorithms and their execution, as well as the differences between them, resulting from differences between the methods, are presented. The Finney method transforms results obtained for mortality (in %) to probit values, where probit values for 0% and 100% mortality depend on the number of experimental animals in the group, and then continues processing. The Miller-Tainter method also transforms mortality results (in %) to probit values, but previously
corrects percentage values, relevant to the number of experimental animals, if mortality for the lowest dose is 0% and for the highest dose 100%, the corrected values are changed to probit values, and then continues processesing. In the case of O0ECD Modifications 420, 423 and 425, once the doses for the determination of LD) and other LD values are chosen, Litchfield-Wilcoxon statistical program is usually used to estimate these values and their confidence limits. In the test example of thymoquinone given intraperitoneally to rats LDo, LDi., LDs0, LDga and LD 190 values obtained by applying the programs “LDsomortality- Finney”, “LDso-mortality-Miller-Tainter” and those calculated by Litchfield-Wilcoxon method were very similar and Fischer's coefficient (F) value showed no statistically significant differences between them (P>0.05).
Keywords
Acute toxicity; LDso and other LD values; probit analysis; Finney method; Miller-Tainter method; interactive programs; MATLAB; OECD modifications; Litchfield-Wilcoxon method; modified one-way analysis of variance

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