Figure 10.
Probability distributions of the luciferase assay fluorescence intensity L from Eq. 23. (a) A toy example of a discrete probability distribution of allowable fluorescence intensities for N = 30 viruses infecting M = 20 cells is shown. Due to the MN finite number of allowable configurations of the SMOI, there are a corresponding finite number of intensities with specific probabilities determined by Eq. 5 and represented by a unique circle. The parameters used for the reporter kinetics are fmax = 2, h = 1, K = 1, and L0 = 1. The mean intensity of the fluorescence signal is E[L] = 19.5, represented by the vertical dotted line, and variance is Var[L] = 1.49, represented by the shaded region. (b) The normally distributed approximation of fluorescence intensity using M = 1 × 105, fmax = 2, h = 1, K = 1, and L0 = 1 is shown. The distributions are plotted for μ = 1.4, 1.5, and 1.6 by computing the expected values E[L] = 9.23 × 104, 9.64 × 104, and 1 × 105 and the variances Var[L] = 1.7 × 105, 1.24 × 105, and 1.3 × 105 respectively. To see this figure in color, go online.