Monte Carlo simulation of the Spearman-Kaerber TCID50.

Journal of Clinical Bioinformatics
Niels H WulffPhilip J Young

Abstract

In the biological sciences the TCID50 (median tissue culture infective dose) assay is often used to determine the strength of a virus. When the so-called Spearman-Kaerber calculation is used, the ratio between the pfu (the number of plaque forming units, the effective number of virus particles) and the TCID50, theoretically approaches a simple function of Eulers constant. Further, the standard deviation of the logarithm of the TCID50 approaches a simple function of the dilution factor and the number of wells used for determining the ratios in the assay. However, these theoretical calculations assume that the dilutions of the assay are independent, and in practice this is not completely correct. The assay was simulated using Monte Carlo techniques. Our simulation studies show that the theoretical results actually hold true for practical implementations of the assay. Furthermore, the simulation studies show that the distribution of the (the log of) TCID50, although discrete in nature, has a close relationship to the normal distribution. The pfu is proportional to the TCID50 titre with a factor of about 0.56 when using the Spearman-Kaerber calculation method. The normal distribution can be used for statistical inferences and ANOVA...Continue Reading

References

Dec 16, 1957·Annals of the New York Academy of Sciences·W R BRYAN

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Citations

Aug 2, 2014·Journal of Microbiology, Immunology, and Infection = Wei Mian Yu Gan Ran Za Zhi·Wenjun ShiHanxiao Sun
Aug 2, 2015·The Journal of Infectious Diseases·Olivier Reynard, Viktor E Volchkov
May 20, 2015·Journal of Immunology Research·Nohemí Salinas-JazmínSonia Mayra Pérez-Tapia
Jun 10, 2016·Journal of the Royal Society, Interface·Christoforos HadjichrysanthouRoy M Anderson
May 19, 2018·Nature Communications·Michel CrameriJovan Pavlovic
Sep 14, 2019·Journal of Cellular and Molecular Medicine·Shao-Ping ZhangQi-Kuan Hu
Mar 31, 2017·Science Translational Medicine·Yakir BerchenkoAmit Huppert
Jul 14, 2020·Frontiers in Microbiology·Govindaraj Dev KumarCharles P Gerba
Aug 23, 2020·International Journal of Environmental Research and Public Health·Angelo SpenaVincenzo Andrea Spena
Mar 11, 2021·Journal of Virological Methods·Michael SchuitPaul Dabisch
Aug 1, 2021·Nature Communications·Tingting LiDianfan Li

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