(a) The calculated distribution of nascent RNA at small values of
m , for k01 =
k0= 0.1 ,
kINI = 50. A larger range of
m is shown in the inset. The range of m
was divided into windows covering 0.5 to 0.5 around each integer (colored
shading). (b) The origin of discontinuity at m=1. The
total probability of observing m is a marginalization over
different numbers of RNAPs on the gene (plotted for
N=1, 2, 3 ). (c) The discontinuity factor
r as a function of k01,
k10 and kINI was
calculated and thresholded (rth = 0.1, left,
red surface). Black dot indicates the experimental data analyzed in panel
d. (d) The experimental signature of
P(m) discontinuity. Nascent RNA from
bcd3-lacZ was measured using smFISH (at 0.1–0.3
embryo length, 23 embryos). The distribution of m0,
the deviation of m from the nearest integer, was calculated
(gray, 3.5 ≤ m< 6.5, ~500 data points, bin width
= 0.1) and compared to model predictions with (red) and without (dashed
blue) incorporating the effect of finite probe binding probability
p0.