Figure 7
From: Quantifying uncertainty, variability and likelihood for ordinary differential equation models
Example 3 (parameter estimation). For a fictional data point ξ = 5 at T = 20 we computed the likelihood of different values of Vmax ∈ [0, 2] (uniform discretization points with grid size h = 0.05) applying the two-step procedure as illustrated in Figure 3 to the autoregulation system (7) from Example 1 extended by Vmax. Shown are two different likelihood functions corresponding to (a) prior information imposed on both x0 and Vmax by means of a joint normal distribution (solid gray line), and (b) no prior information on Vmax in terms of Vmax assumed to be uniformly distributed on [0, 2] (dashed black line).