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. 2015 Nov 9;17(2):320–333. doi: 10.1093/biostatistics/kxv046

Table 1.

Notation

Pulse location model notation
Inline graphic Set of pulse locations for a population of subjects
Inline graphic Set of pulse locations for subject Inline graphic
Parameters defining the population intensity function Inline graphic
Inline graphic Set of cluster centers common to all subjects
Inline graphic Expected number of pulses in cluster Inline graphic
Inline graphic Variance of the pulse locations in cluster Inline graphic
Inline graphic Rate of non-clustered pulse locations/hour
Parameters defining the subject-level intensity function Inline graphic
Inline graphic Expected number of pulses in cluster Inline graphic for subject Inline graphic; Inline graphic
Inline graphic Rate of non-clustered pulse locations for subject Inline graphic; Inline graphic
Hormone concentration model notation for subject Inline graphic
Inline graphic Observed hormone concentration at time Inline graphic
Pulsatile secretion function, Inline graphic
Inline graphic Pulse mass and width for pulse Inline graphic
Inline graphic Pulse location for pulse Inline graphic
Inline graphic Number of pulses to time Inline graphic
Inline graphic Mean pulse mass and width, respectively
Inline graphic Variance–covariance matrix for the pulse mass and width
Elimination function Inline graphic
Inline graphic Half-life
Baseline concentration, Inline graphic
Inline graphic Number of knots in b-spline
Inline graphic Set of Inline graphic knot locations
Inline graphic Set of b-spline coefficients
Model error
Inline graphic Model error for log hormone concentration at time Inline graphic
Inline graphic Model error variance