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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.
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
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.
In the field of pharmacokinetics, the area under the curve (AUC) is the definite integral of the concentration of a drug in blood plasma as a function of time (this can be done using liquid chromatography–mass spectrometry [1]).
5 paź 2023 · The trapezoidal rule is based on the Newton-Cotes formula that if one approximates the integrand by an \ (n^ {th}\) order polynomial, then the integral of the function is approximated by the integral of that \ (n^ {th}\) order polynomial. Integrating polynomials is simple and is based on the calculus formula.
Trapezoidal Rule is a rule that evaluates the area under the curves by dividing the total area into smaller trapezoids rather than using rectangles. This integration works by approximating the region under the graph of a function as a trapezoid, and it calculates the area.
definite integral of function F(X) is just the area under a curve, which can be represented as: =∫ b a AUC F(X)dX where [a, b] is the finite X domain. In Yeh’s SUGI paper2, three SAS macros were developed to perform the plasma concentration-time-curve AUC calculation using ‘trapezoidal rule’.
