Effective Single-Step Posttranscriptional Dynamics Allowing for a Direct Maximum Likelihood Estimation of Transcriptional Activity and the Quantification of Sources of Gene Expression Variability with an Illustration for the Hypoxia and TNFα Regulated Inflammatory Pathway
Figure 2
Drift and diffusion parameters as used in the stochastic stimulation of the multistep model defined by (6), (7), and (24) and as estimated from the approximate single-step model defined by (32) as functions of the transcription rate . (a) Drift coefficients and computed from (27) and (33), respectively. (b) Diffusion coefficients and as obtained from (31) and (33). Sample mean values are presented. SDs for were smaller than 1, which is the size of the symbol. SDs for are shown as error bars. Number of repetitions: 10. Parameters as in Figure 1. Additional parameters: and . Stochastic simulations were performed by means of an Euler forward method with computational time step of 0.01 h, and trajectories were computed in the interval from 0 to 100 h.
