$$\sum_{j=1}^k \frac{g_{j}m_{j}}{1-exp(-\lambda m_{j})}=\sum_{j=1}^k t_{j}m_{j}$$
$$MPN=\lambda$$
$k$ denotes the number of dilutions,
$g_{j}$ denotes the number of positive (or growth) tubes in the jth dilution,
$m_{j}$ denotes the amount of the original sample put in each tube in the jth dilution,
$t_{j}$ denotes the number of tubes in the $j$th dilution.
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