Figure 4
From: Quantifying uncertainty, variability and likelihood for ordinary differential equation models
Example 1 (autoregulated gene expression, extended state space). (a) Marginal distributions of protein concentration x at t = 50 for the extended variables (x β)' (dashed black), (x Vmax)' (solid gray), and (x β Vmax)' (dotted) compared to the distribution without parameter variability (dashed-dotted gray) computed by the two-step procedure with a final uniform grid (x ∈ [0, 60] with h = 1 and Vmax ∈ [0.5, 1.5], β ∈ [3.5, 4.5] both with h = 0.01) and subsequent integration. (b) Joint distribution of (x Vmax)' and (x β)' at t = 50 (upper panels), and two-dimensional marginal distributions of the three-dimensional system (lower panels, note the difference in color coding by a factor of 10 between the lower right and the other panels).