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Chris Myers I read the paper by Beal, “Biochemical complexity drives log-normal variation in genetic expression,” and I think it looks reasonable. Gene expression is catalytic, so you get a product of random variables that tends to a log-normal distribution. Alternate distributions, such as the gamma distribution, can appear as edge cases. I’m unclear on whether the gamma distribution is a known mathematical consequence of “stochastic bursting,” or is it an empirical fit?
For modeling and simulation in synthetic biology, I guess this would impact how intra-cellular processes aggregate at the population level. Extrinsic reaction products would follow a log-normal distribution which could influence the intrinsic behavior.