Half-emptying time t50 as determined from the fit of a beta exponential function. In the Maes/Ghoos model, it is defined as the time when the area under curve (AUC) is 50% of the AUC from 0 to infinity.

Maes B D, Ghoos Y F, Rutgeerts P J, Hiele M I, Geypens B and Vantrappen G 1994 Dig. Dis. Sci. 39 S104-6.

t50_maes_ghoos(cf)

cf | named vector of coefficients; only |
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Time in minutes when area under curve is 50% of the AUC to infinity.
In the Maes/Ghoos model, this is used as a surrogate for gastric emptying
half time `t50`

.

`exp_beta`

, and `t50_bluck_coward`

for an example.

# Integral from 0 to infinity is 100 at dose 100 mg integrate(exp_beta, 0, Inf, beta = 1.5, k = 0.01, m = 1, dose = 100)#> 100 with absolute error < 0.0014#> [1] 99# Integral to half-emptying time \code{t50_maes_ghoos} is 50 integrate(exp_beta, 0, t50_mg, beta = 1.5, k = 0.01, m = 1, dose = 100)#> 50 with absolute error < 0.0042