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RegisterNumerical integration [Bioanalytics]
posted by Helmut 
– Vienna, Austria, 2007-08-12 20:51 (6095 d 06:55 ago) – Posting: # 978
Views: 11,453
Dear Dr. Shiv!
Me too!
Agree. If you are interested in a more thorough discussion:
Everybody should be aware that the linear trapezoidal rule is close to the worst numerical integration algorithm (just after the rectangular rule).
There are other algorithms available (log-trapezoidal, lin/log-trapezoidal, Lagrange, Splines, Simpson’s rule, Runge-Kutta). This was pointed out almost 30 years ago by Yeh and Kwan – without further notice by the scientific community.
At least modern software allows selection of the log-trapezoidal rule, or even better lin-up/log-down. Funny enough in all packages I know the linear trapezoidal rule is set as the default leaving the unwary investigator with a suboptimal method.
❝ I am really on a high on this subject. Thanks we are really discussing technical aspects of BE not just guidelines (ehich I am bored of)!!!.
Me too!
❝ NCA is useful tool for typical single dose studies…
Agree. If you are interested in a more thorough discussion:
Everybody should be aware that the linear trapezoidal rule is close to the worst numerical integration algorithm (just after the rectangular rule).
There are other algorithms available (log-trapezoidal, lin/log-trapezoidal, Lagrange, Splines, Simpson’s rule, Runge-Kutta). This was pointed out almost 30 years ago by Yeh and Kwan – without further notice by the scientific community.
At least modern software allows selection of the log-trapezoidal rule, or even better lin-up/log-down. Funny enough in all packages I know the linear trapezoidal rule is set as the default leaving the unwary investigator with a suboptimal method.
- Yeh, KC and KC Kwan
A Comparison of Numerical Integrating Algorithms by Trapezoidal, Lagrange, and Spline Approximation
J Pharmacokin Biopharm 6(1), 79–98 (1978)
- RD Purves
Optimum Numerical Integration Methods fo Estimation of Area-Under-the-Curve (AUC) and Area-under-the-Moment-Curve (AUMC)
J Pharmacokin Biopharm 20(3), 211–26 (1992)
—
Dif-tor heh smusma 🖖🏼 Довге життя Україна!![[image]](https://static.bebac.at/pics/Blue_and_yellow_ribbon_UA.png)
Helmut Schütz
![[image]](https://static.bebac.at/img/CC by.png)
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Dif-tor heh smusma 🖖🏼 Довге життя Україна!
Helmut Schütz
The quality of responses received is directly proportional to the quality of the question asked. 🚮
Science Quotes
Complete thread:
- PK Vs Analytical Charl 2007-07-23 10:44 [Bioanalytics]
![[Mix]](https://static.bebac.at/img/mix.png "open in Mix view")
- PK Vs Analytical Helmut 2007-07-23 18:04
- PK Vs Analytical Charl 2007-07-24 10:31
- PK Vs Analytical Helmut 2007-07-24 13:42
- PK Vs Analytical Charl 2007-07-24 15:02
- PK Vs Analytical Helmut 2007-07-24 13:42
- PK Vs Analytical Charl 2007-07-24 10:31
- PK Vs Analytical drshiv 2007-07-31 08:47
- PK Vs Analytical Charl 2007-07-31 14:07
- PK Vs Analytical drshiv 2007-08-07 16:37
- NCA 'model independent'? Helmut 2007-08-11 20:09
- NCA 'model independent'? drshiv 2007-08-12 13:08
- Numerical integrationHelmut 2007-08-12 18:51
- Numerical integration drshiv 2007-08-14 08:29
- Numerical integrationHelmut 2007-08-12 18:51
- NCA 'model independent'? drshiv 2007-08-12 13:08
- NCA 'model independent'? Helmut 2007-08-11 20:09
- PK Vs Analytical drshiv 2007-08-07 16:37
- PK Vs Analytical Charl 2007-07-31 14:07
- PK Vs Analytical Helmut 2007-07-23 18:04
Ing. Helmut Schütz