Corrections, i.e. the offsets between the initial trajectory and the fitted trajectory, are small and the kink angles are to good approximation linear functions of the these corrections, cf. Eq. (3) in reference [23] and Eq. (4) in [27].
The best fitting trajectory was selected based on a goodness-of-fit score ('replay score'), computed as the mean posterior probability within 15 cm of the fitted trajectory.
As we have previously shown in this cohort that females are at a disadvantage in terms of disability (Collerton et al., 2009), we fitted trajectory models separately for men and women.
From each child's fitted trajectory, we estimated age and BMI at infancy peak and adiposity rebound, and velocity and area under curve between 1 week, infancy peak, adiposity rebound, and 18 years.
A number of behaviors of the control system described in this paper enable it to use the given workspace efficiently to fit trajectories of the two satellites into it.
Overall, the fitted trajectories of insulin are very accurate.
The fitted trajectories seen in Figure 2 appear to capture the subject-specific measurements well, although some panels appear to only require a linear trend.
Starting with the resulting model fits, the residual error over time of the fitted trajectories throughout the cohort (visit 1, Figure 4a ) is comparable with Subject 117 (11% absolute normalized fit error, cohort: 12%).
Whereas this clearly demonstrates the power of the PBPK/PD modeling approach, a full quantification of the quality of fit and predictions of the model presented here in comparison to state-of-the-art model implementations of the GIM is difficult as no validations of individual model predictions of full-day trials are published, but only pure predictions without data or only fitted trajectories.
To test if fitted trajectories could be expected by chance alignment of position estimates, the replay score for each candidate event was compared to replay score distributions derived with two shuffles of the data, using the approach described in (Davidson et al., 2009).
Fourth degree polynomials were chosen over third degree polynomials for their convenience in systematically fitting the trajectory curves with two inflection points, a feature that appeared characteristic of tachyzoite invasive motions.
