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Figure 2 | BMC Systems Biology

Figure 2

From: Quantifying uncertainty, variability and likelihood for ordinary differential equation models

Figure 2

Example 1 (autoregulated gene expression). (a) For an initial uniform grid on [0, 5] with grid size h = 0.05, the density in t [0, 50] is computed along the trajectories. The gray line at t = 0 indicates the right hand side F (x) of the ODE. (b): For a final (T = 50) uniform grid on [0, 10] with grid size h = 0.1, the trajectories are computed backward in time; subsequently, forward in time, the density is computed along the trajectories. The backward-forward solution allows for computing the pdf on arbitrary sub-regions of the state space. (c) & (d) Same as (a) & (b) but with an initial exponential distribution.

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