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The trapezoidal rule is a numerical integration method to be used to approximate the integral or the area under a curve. The integration of [a, b] from a functional form is divided into n equal pieces, called a trapezoid. Each subinterval is approximated by the integrand of a constant value.
Using the integrated equation, the calculated AUC (AUC=Cpo/k) is the area under the best curve that fits the experimental data. The trapezoidal rule calculates the area using the experimental data without making any assumption about the equation that describes the drug plasma profile.
Where a logarithmic trapezoidal rule is employed for a trapezoid, the formula is: AUC t1-t2 = (t 2 -t 1 )*((C p1 -C p2 )/ln(C p1 /C p2 )) AUC 0-last describes the area under the curve up to the last quantifiable time-point (sometimes referred to as AUC 0-t )
Calculating AUC using Integration Method. Trapezoidal Rule Numerical Integration method is used to find area under curve. The area of a trapezoid is as follows: ( x i+1 – x i) * ( y i + y i+1) / 2
The function f (x) (in blue) is approximated by a linear function (in red). In calculus, the trapezoidal rule (also known as the trapezoid rule or trapezium rule) [a] is a technique for numerical integration, i.e., approximating the definite integral:
2 kwi 2011 · The logarithmic trapezoidal method uses logarithmic interpolation between data points to calculate the AUC. This method is more accurate when concentrations are decreasing because drug elimination is exponential (which makes it linear on a logarithmic scale).
perform the plasma concentration-time-curve AUC calculation using ‘trapezoidal rule’. If a metabolic reading curve can not be described as a smooth and continuous function F(X), the “trapezoidal rule” will be the ‘golden rule’ to compute the area of each individual small trapezoid (see Figure 1 and SAS3 graphic code below). Then ...
