Table 3. The Estimated Model Parameters and the Squares of the Multiple Correlation Coefficients (R 2) for the Fits of the Simulated Cortisol Time Series.
Participant | N | R 2 | |||||
1 | 0.0628 | 0.0068 | 16 | 0.99 | 0.38 | 15.02% | 1.49% |
2 | 0.0569 | 0.0056 | 15 | 0.97 | 0.75 | 25.33% | 1.75% |
3 | 0.0747 | 0.0078 | 15 | 0.98 | 0.67 | 18.89% | 4.88% |
4 | 0.0918 | 0.0071 | 16 | 0.94 | 1.44 | 26.44% | 16.39% |
5 | 0.0492 | 0.0123 | 18 | 0.99 | 0.52 | 15.90% | 0.82% |
6 | 0.0490 | 0.0122 | 19 | 0.99 | 0.29 | 32.51% | 28.42% |
7 | 0.0770 | 0.0098 | 16 | 0.97 | 0.98 | 3.63% | 8.41% |
8 | 0.0375 | 0.0094 | 18 | 0.99 | 0.33 | 2.74% | 3.30% |
9 | 0.0365 | 0.0091 | 16 | 0.99 | 0.35 | 1.11% | 1.11% |
10 | 0.0654 | 0.0076 | 19 | 0.99 | 0.31 | 24.30% | 4.11% |
Median | 0.0599 | 0.0084 | 16 | 0.99 | 0.45 | 17.39% | 3.70% |
The parameters and are, respectively, the estimated infusion rate of cortisol into the circulation from the adrenal glands and the estimated clearance rate of cortisol by the liver. N is the estimated number of hormone pulses and R 2 is the square of the multiple correlation coefficient. is the standard deviation of the zero mean Gaussian noise added to each simulated data point. For each participant, blood samples were assayed in duplicate, and the corresponding standard deviation of noise was obtained. The parameters and are, respectively, the infusion rate of cortisol into the circulation from the adrenal glands and the clearance rate of cortisol by the liver used in simulating each dataset. The values of and are given in Table 2.