sandipmumbai
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India,
2012-05-22 17:00
(4729 d 18:14 ago)

Posting: # 8601
Views: 8,877
 

 Area outside curve [NCA / SHAM]

HI,

I know calculation of AUCt but i want to calculate the area outside curve. Please provide me solution.

Regards,
Sandy


Edit: Category changed. [Helmut]
jag009
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NJ,
2012-05-22 17:40
(4729 d 17:34 ago)

@ sandipmumbai
Posting: # 8602
Views: 7,725
 

 Area outside curve

Hi Sandy,

❝ I know calculation of AUCt but i want to calculate the area outside curve. Please provide me solution.


What do you mean by the area outside curve? :confused:

John
ElMaestro
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Denmark,
2012-05-22 17:43
(4729 d 17:31 ago)

@ sandipmumbai
Posting: # 8603
Views: 7,754
 

 Area outside curve

Hi Sandy,

❝ I know calculation of AUCt but i want to calculate the area outside curve. Please provide me solution.


Erm, not sure what you mean, but how about (AUCinf-AUCt), absolute, or (AUCinf-AUCt)/AUCinf, relative?

Pass or fail!
ElMaestro
Helmut
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Vienna, Austria,
2012-05-23 01:34
(4729 d 09:40 ago)

@ sandipmumbai
Posting: # 8608
Views: 7,766
 

 AAC

Dear Sandy!

Do you mean AAC (Area above the Curve)? That’s easy; no algorithm, not even any calculation whatsoever needed – irrespective whether you sample for 24, 72, or 168 hours, extrapolate or not. The result is: (at least in Euclidean space). SCNR.

Can you please elaborate what you are trying to achieve?

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sandipmumbai
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India,
2012-05-23 08:40
(4729 d 02:34 ago)

@ Helmut
Posting: # 8609
Views: 7,735
 

 AAC

❝ Can you please elaborate what you are trying to achieve?


Dear Helmut,

Thanks......

[image]

I am attached one image of Plot. In that plot, i want to calculate the mark area of plot.
Kindly provide solution.

Regard,
Sandy


Edit: Full quote removed. Please delete anything from the text of the original poster which is not necessary in understanding your answer; see also this post! [Helmut]
jag009
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NJ,
2012-05-23 18:13
(4728 d 17:01 ago)

@ sandipmumbai
Posting: # 8613
Views: 7,672
 

 AAC

? You use the same AUC equation. You just calculate the area within the shaded region (That's what you want right?).

John
d_labes
★★★

Berlin, Germany,
2012-05-23 18:55
(4728 d 16:19 ago)

@ sandipmumbai
Posting: # 8614
Views: 7,674
 

 AAC

Dear Sandy!

[image]

❝ I am attached one image of Plot. In that plot, i want to calculate the mark area of plot.

❝ Kindly provide solution.

  1. Calculate the area under the curve (AUC) as usual using the trapezoidal rule or whatever other method you prefer.
  2. Calculate the area (also a trapezoid!) between the x-axis and the points x=0, Y(x=0) and x=9, Y(x=9).
    Lets call it Area9.
  3. Subtract Area9 - AUC and voilà you have your 'AAC' :cool:.
Can you please enlighten us why your are interested in this rather uncommon metric? What's the meaning of your axes?

Regards,

Detlew
Helmut
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Vienna, Austria,
2012-05-24 00:32
(4728 d 10:43 ago)

@ d_labes
Posting: # 8615
Views: 7,955
 

 AUEC (Phoenix/WinNonlin Model 220)

Dear Sandy & confused comrades!

❝ Can you please enlighten us why your are interested in this rather uncommon metric? What's the meaning of your axes?


I guess Sandy is talking about AUEC (Area Under the Effect Curve), where 100 is (a normalized?) baseline value. Think about about a blood-pressure lowering agent. Well, a maximum reduction by 60% would be a little bit tough. ;-)
I used following values: 100, 80, 70, 60, 50, 40, 45, 50, 65, 90 at t=0…9.

[image]

With Detlew’s method (which is the correct one, IMHO) I got 855–555=300 (the area enclosed by the blue line). Phoenix/WinNonlin (Model 220) draws a perpendicular line to the baseline of 100 at 9 (which is strange) and calculates 345 (the red line). We may also estimate a linear regression (here 7…9) – the orange line. This would give us the option to extrapolate from the last measured value 9/90 to the baseline, which is reached at 9.5 (algebra). This method would add the pink triangle and give an AUEC of 392.5. I don’t understand why the return to baseline easily could be estimated but is not given in the ouput.
Simon? :confused:

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SDavis
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UK,
2012-06-29 00:01
(4692 d 11:14 ago)

@ Helmut
Posting: # 8862
Views: 7,530
 

 AUEC (Phoenix/WinNonlin Model 220)

Hi Helmut,
Sorry I only just saw this question; I'm not entirely sure why you'd estimate the area enclosed in the blue line - why is the line returning back to baseline at 9 hours?

The AUC that the WNL NCA PD model calculates I've always considered analogous to AUCt because it draws that perpendicular line to the baseline at the last measured value.

I think your second question is why doesn't WNL's NCA 220 model provide AUCbelow Baseline to inf. The short answer is I don't know but equally I'm not sure whether it could always be so easily calculated, what if the experiment had stopped at 5 or 6 hours and a 3 point regression would then continue downwards?

Simon.

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Helmut
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Vienna, Austria,
2012-06-29 03:29
(4692 d 07:46 ago)

@ SDavis
Posting: # 8864
Views: 8,272
 

 AUEC (Phoenix/WinNonlin Model 220)

Hi Simon!

❝ I'm not entirely sure why you'd estimate the area enclosed in the blue line - why is the line returning back to baseline at 9 hours?

❝ The AUC that the WNL NCA PD model calculates I've always considered analogous to AUCt because it draws that perpendicular line to the baseline at the last measured value.


I’m not sure whether AUEC is entirely analogous to AUC. Think about AUC (single dose) first. At t=0 the concentration should be ‘true’ zero (leaving homoeopathy and carry-over after washouts aside) and will return to zero at t≤∞. The theoretically best estimate of F would be the ratio of two AUCs extrapolated to t=∞. In relative (!) BA sooner or later absorption will be complete; sampling after this time point increases only the variance (concentrations approaching the LLOQ). In BE by convention (!) the ratio of AUCts is employed (if AUCt ≥80% AUC). Here the perpendicular drop makes sense because we have a true zero baseline – think about AUC as C(t).
AUEC is different, IMHO. In Sandy’s example we start from a normalized baseline value (100%) and at the last measurement we may (!) still have a remaining effect (10% reduction). Unlike in PK in PD we often have to deal with highly variable measurements or observe a rebound (a negative effect or values above 100% in the example). In model 220 we assume a fixed baseline; fine. But then I would prefer to accept that the 9 h time point is not ‘the end of the story’ and extrapolate to the intersection of the regression line with the baseline (at 9.5 h). Only if I assume that the measured value at 9 h is pure random fluctuation I would use a perpendicular drop (or better: rise?) to the baseline. But of course this is pettifoggery.

❝ I think your second question is why doesn't WNL's NCA 220 model provide AUCbelow Baseline to inf. The short answer is I don't know…


:-D

❝ … but equally I'm not sure whether it could always be so easily calculated, what if the experiment had stopped at 5 or 6 hours and a 3 point regression would then continue downwards?


True, but does not speak against the method but against the design of the study. In PK extrapolation sometimes does not work as well (sampling stopped too early, long half life together with values close to the LLOQ).

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