Stochastic gene expression in proliferating cells: Differing noise intensity in single-cell and population perspectives
Fig 2
Comparison of protein distribution in single-cell and population perspectives as the feedback intensifies.
(A) The region of existence of the steady-state protein distribution in terms of the feedback strength k and relative burst frequency . Green region: stationary distribution p(x) exists in both single cell and population perspectives. Brown region: Only the distribution in the population perspective exists. Yellow region: Distribution does not exist in any of the frameworks. Bold red line: a set of values
, resulting in fixed
as per (7). Black dashed line represents the maximum burst frequency in which the distribution exists for both perspectives regardless the feedback strength. (B) Comparison of protein distribution in single-cell (solid green line) and population perspectives (brown dashed) as feedback increases: (top:) weak feedback, (bottom:) strong feedback. (C) From top to bottom: Mean protein level, protein noise, and distribution asymmetry in the single cell and population frameworks;
is chosen so that
as k increases following the bold red line in panel (A). For all plots, we set
,
.