Area Under the Curve(AUC) and Area Under the first Moment Curve(AUMC) by linear trapezoidal method

It calculates AUC and AUMC using the linear trapezoidal method

LinAUC(x, y)

Arguments

x

vector values of the independent variable, usually time

y

vector values of the dependent variable, usually concentration

Details

This function returns AUC and AUMC by the linear trapezoidal method.

Value

AUC

area under the curve

AUMC

area under the first moment curve

References

  1. Gabrielsson J, Weiner D. Pharmacokinetic and Pharmacodynamic Data Analysis - Concepts and Applications. 5th ed. 2016.

  2. Shargel L, Yu A. Applied Biopharmaceutics and Pharmacokinetics. 7th ed. 2015.

  3. Rowland M, Tozer TN. Clinical Pharmacokinetics and Pharmacodynamics - Concepts and Applications. 4th ed. 2011.

  4. Gibaldi M, Perrier D. Pharmacokinetics. 2nd ed. revised and expanded. 1982.

Author

Kyun-Seop Bae <k@acr.kr>

See also

LogAUC, AUC

Examples

LinAUC(Theoph[Theoph$Subject==1, "Time"], Theoph[Theoph$Subject==1, "conc"])
#>      AUC     AUMC 
#>  148.923 1459.071 
AUC(Theoph[Theoph$Subject==1, "Time"], Theoph[Theoph$Subject==1, "conc"]) # compare the last line
#>             AUC        AUMC
#>  [1,]   0.00000    0.000000
#>  [2,]   0.44750    0.088750
#>  [3,]   1.95310    0.801534
#>  [4,]   6.64735    5.065382
#>  [5,]  15.71935   19.138321
#>  [6,]  32.13535   66.198241
#>  [7,]  42.97695  114.461665
#>  [8,]  58.25290  206.281512
#>  [9,]  72.75650  322.298798
#> [10,]  92.45055  528.521903
#> [11,] 148.92305 1459.071104