trapezoidal_linear: Linear trapezoidal rule

In nlmixr2autoinit: Automatic Generation of Initial Estimates for Population Pharmacokinetic Modeling

Linear trapezoidal rule

Description

Computes the area under the curve (AUC) or the area under the moment curve (AUMC) using the linear trapezoidal rule. If moment = TRUE, the function estimates AUMC by integrating time * concentration.

Usage

trapezoidal_linear(x, y, moment = FALSE)

Arguments

x	A numeric vector representing the time points.
y	A numeric vector representing the corresponding concentration values at each time point.
moment	Logical. If TRUE, computes AUMC by integrating t * C(t) instead of just C(t).

Value

A numeric value representing the estimated AUC or AUMC using the linear trapezoidal rule.

Examples

x <- c(0.5, 1, 2, 4, 6, 8)
y <- c(12, 8, 5, 3, 2, 1)
trapezoidal_linear(x, y)                # AUC
trapezoidal_linear(x, y, moment = TRUE) # AUMC

nlmixr2autoinit documentation built on Nov. 14, 2025, 1:07 a.m.