MathBench > Measurement

Serial Dilution... or,
how to count to a million

Pick your plate

 

 

If we put dilution and scaling up together, we can estimate the number of bacteria in the original sample. For example:

If a 1:10,000 dilution results in a plate with 176 CFUs, then the original number of bacteria in the sample?

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I think I have the answer: approximately 1,800,000.

 

Pretty easy, right? The only tricky part is that you don't know in advance how far to dilute your original sample. Let's see what happens if you always count a 1:10,000 diluted sample. If your original solution contained...

So here's the general rule: in order to be valid, the plate that you scale up should contain between 25 and 250 CFUs. Any more than 250 CFUs can cause overlap, and you'll underestimate the population size. Any fewer than 25 makes your estimate vulnerable to over- OR under-estimates based on random chance alone.

So the real trick here is picking the correct dilution. For the 50 million bacteria case, 1:1,000,000 would have been a good dilution facter. For the 5 thousand bacteria case, 1:100 would have done the trick. And since you can't know ahead of time what that is, instead you'll need a series of dilutions.

A series of dilutions ensures that one of these dilutions will be in the countable range (25 to 250 CFUs).