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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.
2 kwi 2011 · The linear trapezoidal method uses linear interpolation between data points to calculate the AUC. This method is required by the OGD and FDA, and is the standard for bioequivalence trials. For a given time interval (t 1 – t 2 ), the AUC can be calculated as follows:
Trapezoidal rule: It consists in dividing the plasma concentration-time profile into several trapezoids and calculating the AUC by adding the area of these trapezoids. AUC = Area under the concentration-time curve . F = bioavailability. D = dose . CL = clearance. C(0) = extrapolated plasma concentration at time 0 . λ = elimination rate ...
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 trapezoidal rule is widely used to calculate the area under the PK curve. The basic principle is that observations segment entire integration interval into multiple sub-intervals.
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.
