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. Author manuscript; available in PMC: 2018 Jul 20.
Published in final edited form as: Stat Med. 2017 Apr 9;36(16):2576–2589. doi: 10.1002/sim.7292

Table 1.

Notation Dictionary

Hormone Concentration Model

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)

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)

θh,i Half-life for subject i
μh Mean half-life
σh2
Subject-to-subject variation in the half-life
Baseline Concentration, B(t)

θb,i Baseline for subject i
μb Mean baseline
σb2
Subject-to-subject variation in the baseline
Model Error

σε2
Model error variance