Table 1.
Clinical Characteristics of the Participants.
Figure 1.
Estimated Deconvolution of the Experimental Twenty-Four-Hour Cortisol Levels in 10 Women.
Each panel shows the measured 24-hour cortisol time series (red stars), the estimated cortisol levels (black curve), the estimated pulse timing and amplitudes (blue vertical lines with dots) for one of the participants. The estimated model parameters are given in Table 2.
Table 2.
The Estimated Model Parameters and the Squares of the Multiple Correlation Coefficients (R2) for the Fits of the Experimental Cortisol Time Series.
Table 3.
The Estimated Model Parameters and the Squares of the Multiple Correlation Coefficients (R2) for the Fits of the Simulated Cortisol Time Series.
Figure 2.
White Gaussian Structure in the Model Residuals of 10 Women.
In each panel, (i) the top sub-panel displays the autocorrelation function of the model residuals in one of the 10 participants; the graph shows that the model captures the dynamics and that residuals are white; (ii) the bottom sub-panel displays the quantile-quantile plot of the model residuals for that participant; the graph shows that the residuals are Gaussian.
Figure 3.
Simulated Twenty-Four-Hour Cortisol Levels with Measurement Errors Corresponding to Datasets from 10 Women.
Each panel displays the simulated serum cortisol levels based on pulse patterns in Figure 1 and estimated model parameters and
in Table 2 in one of the 10 participants, assuming a zero mean Gaussian measurement error with standard deviation
in Table 3. In all simulations the initial conditions are
,
equals the initial cortisol level of the corresponding participant, and the cortisol levels are recorded every 10 minutes.
Figure 4.
Estimated Deconvolution of Simulated Twenty-Four-Hour Cortisol Levels with Different Measurement Errors Corresponding to Datasets from 10 Women.
Each panel shows the simulated 24-hour cortisol time series (blue stars), the estimated cortisol levels (black curve), the simulated pulse timing and amplitudes (blue vertical lines with dots) and the estimated pulse timing and amplitudes (red vertical lines with empty circles) for one of the simulated datasets that each correspond to a participant. The estimated parameters are given in Table 3.
Table 4.
The Error in Estimated Pulses of the Simulated Cortisol Time Series.