Calculate Area Under the Curve (AUC) and Area Under the first Moment Curve (AUMC) in a table format

Calculate Area Under the Curve(AUC) and the first Moment Curve(AUMC) in two ways; 'linear trapezoidal method' or 'linear-up and log-down' method. Return a table of cumulative values.

AUC(x, y, down = "Linear")

Arguments

x

vector values of independent variable, usually time

y

vector values of dependent variable, usually concentration

down

either of "Linear" or "Log" to indicate the way to calculate AUC and AUMC

Details

down="Linear" means linear trapezoidal rule with linear interpolation. down="Log" means linear-up and log-down method.

Value

Table with two columns, AUC and AUMC; the first column values are cumulative AUCs and the second column values cumulative AUMCs.

References

Rowland M, Tozer TN. Clinical Pharmacokinetics and Pharmacodynamics - Concepts and Applications. 4th ed. pp687-689. 2011.

Author

Kyun-Seop Bae <k@acr.kr>

See also

LinAUC, LogAUC

Examples

AUC(Theoph[Theoph$Subject==1, "Time"], Theoph[Theoph$Subject==1, "conc"])
#>             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
AUC(Theoph[Theoph$Subject==1, "Time"], Theoph[Theoph$Subject==1, "conc"], down="Log")
#>             AUC        AUMC
#>  [1,]   0.00000    0.000000
#>  [2,]   0.44750    0.088750
#>  [3,]   1.95310    0.801534
#>  [4,]   6.64735    5.065382
#>  [5,]  15.71410   19.243482
#>  [6,]  32.11090   66.830600
#>  [7,]  42.95189  115.151380
#>  [8,]  58.21173  207.426110
#>  [9,]  72.70744  323.774418
#> [10,]  92.36544  531.108538
#> [11,] 147.23475 1499.129085