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Using trapezoidal rule to approximate the area under a curve first involves dividing the area into a number of strips of equal width. Then, approximating the area of each strip by the area of the trapezium formed when the upper end is replaced by a chord. The sum of these approximations gives the final numerical result of the area under the curve.
The area of a trapezoid can be calculated using a variety of rules. For example, the Linear Log Trapezoidal rule will draw a linear line between pairs of data points that are prior to C max, and a logarithmic line between data points following C max.
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.
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).
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.
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
The trapezoidal rule can be used to calculate the AUC after any route of administration: The method is based on divididing the plasma concentration-time profile to several trapezoids, and calculate the AUC by adding the areas of these trapezoids.
