Estimation of mutation rates in cultured mammalian cells

The factors that affect reliable estimations of mutation rates (μ) in cultured mammalian somatic cell populations by fluctuation analysis are studied experimentally and statistically. We analyze the differential effect of the final cell population size in each culture (N_t) and the number of parallel cultures (C) on the variation in the rate estimates ($\text{μ}$) inferred from the P₀ method. The analysis can be made after the derivation of the variance of $\text{μ}$, which is a measure of variation of $\text{μ}$ for a given combination of N_t and C in a number of repeat experiments. The variance of $\text{μ}$ is inversely proportional to C and to the square of N_t. N_t determines the probability of occurrence of mutation in a cell culture. By influencing the size of P₀, N_t also determines whether a rate estimate is obtainable from the experiment. Since P_o is estimated from the fraction of cultures containing no mutation in a set of C cultures, C becomes a determining factor for the accuracy of $\text{μ}$. The rate estimated from $\text{P}\text{?}{}_0$ is biased, but the bias is in general 2 orders of magnitude smaller than $\text{μ}$. By the selection of an appropriate combination of N_t and C for the experiment, this bias can be reduced even further.Based on the notion of comparing two proportions, we propose a test statistic and have applied it to experimental results for a test of equality of mutation rates in different cell lines. This development places the comparison of mutation rates on a statistical basis.