Table 1.
Notation Dictionary
| Hormone Concentration Model | ||
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| yij | Observed hormone concentration at time tj for subject i | |
| N | Number of subjects | |
| m | Number of observations on a subject | |
| S(t) | Pulsatile secretion function | |
| E(t) | Elimination function | |
| εij | Model error for log hormone concentration | |
| Pulsatile Secretion Function, S(t) | ||
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| ||
| Ns,i | The number of secretion events (pulses) for subject i | |
| θs,i,k = (αik, ωik, τik) | Log pulse mass and width and location for pulse k, subject i | |
| μs,i = (μα,i, μω,i) | Mean log pulse mass and width for subject i | |
| μs = (μα, μω) | Mean log pulse mass and width | |
| ϒs | Pulse-to-pulse variation in log pulse mass and width (i.e., within subject variation) | |
| Σs | Subject-to-subject variation in mean log pulse mass and width | |
| Elimination Function E(t) | ||
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| θh,i | Half-life for subject i | |
| μh | Mean half-life | |
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Subject-to-subject variation in the half-life | |
| Baseline Concentration, B(t) | ||
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| θb,i | Baseline for subject i | |
| μb | Mean baseline | |
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Subject-to-subject variation in the baseline | |
| Model Error | ||
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Model error variance | |