TABLE I.
Gaussian noise model parameters. Note that if burst size b ≫ 1 then the output noise is determined by the average number of mRNA molecules, α ~ (〈mRNA〉)−1. Note also that if the on rate is diffusion limited, i.e., k+ = 4πDa, then both input noise magnitudes β and γ are proportional to each other and decrease with increasing k−, or alternatively, with increasing Kd = k−/k+. In steady state the system averages the fluctuations on the time scale of τint, so that all noise strengths α, β, and γ are inversely proportional to the integration time.
| Parameter | Value | Description |
|---|---|---|
| α | (1+b)/g0 | Output noise strength |
| β | h2/πDaKdτint | Diffusion input noise strength |
| γ | (k−τint)−1 | Switching input noise strength |
| h | Cooperativity (Hill coefficient) |