![]() Showing how the number of infected wells varies with tube number. Number our tubes used in the serial dilution 1, 2, 3. Let us consider how changes to d or n will affect the d is the logarithm of the ratio of consecutive.The rather simplified criterion that I will use here is toĪim for the smallest possible estimated standard error, as calculated by the Relatively few replicates per well, or more widely spaced dilutions (e.g.ġ0-fold serial dilutions) with a larger number of replicates per well. It is best to use closely spaced dilutions (e.g. Then there will still be room for doubt about whether Let us also assume that economic constraints prevent you Let us assume that you know from experience what range ofĭilution factors need to be covered in order to obtain all infection rates from Standard errors by half it would be necessary to increase the total number of It is also shown that in order to cut the One in which the number of replicate wells per dilution is about equal to the The main conclusion is that the best design of an assay is To achieve the smallest possible standard errors while keeping the total number The number of wells (or tubes or animals) inoculated per dilution. How to achieve an optimal balance between the number of different dilutions and Or animals), and the number of wells (or tubes or animals) that show a Of the substance to be assayed are each inoculated into several wells (or tubes Economic Design of a Limiting Dilution AssayĪ limiting dilution assay is one in which serial dilutions
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