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Feb 12, 2018 3:35 AM
(556 views)

Hi,

I have a set of tablets in which one component determines how slowly the active is released (measured at 1, 2, 3, 4, 5 and 6hours).

If I have the results for tablets containing 10, 15, 20 and 25% of this component how can I create a model that will tell me how much of that component is needed to obtain a target profile (target release values at target timepoints)?

Thanks

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Feb 13, 2018 6:29 AM
(965 views)

Solution

Also, you might try saving the model and creating a new response to optimize. A good choice would be the root mean square error (RMSE). A column formula could compare the predicted response with the target response using something like this

```
Sqrt(
Sum(
(P(t1,X) - T(t1))^2 +
(P(t2,X) - T(t2))^2 +
(P(t3,X) - T(t3))^2 +
(P(t4,X) - T(t4))^2 +
(P(t5,X) - T(t5))^2
)
)
```

where the P(t,X) is the fitted model of the predicted response at time t and excipient level X. T(t) is the target level at time t. You could use the Graph > Profiler with this column to optimize X (minimize response with desirability function).

Learn it once, use it forever!

7 REPLIES

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Feb 12, 2018 4:34 AM
(551 views)

One JMP platform you may want to take a look at is the Fit Curve platform for the type of problem you are trying to address. Here is the link to the JMP online documentation for the Fit Curve platform.

https://www.jmp.com/support/help/13-2/Fit_Curve.shtml

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Feb 12, 2018 4:59 AM
(541 views)

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Feb 12, 2018 8:39 AM
(528 views)

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Feb 12, 2018 8:52 AM
(523 views)

You might also try using Analyze > Reliability > Degradation. Use the excipient level as X. You can try transforms on Y and X with a linear path or use a nonlinear path.

Learn it once, use it forever!

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Feb 13, 2018 2:46 AM
(507 views)

I probably do not fully understand how the degradation model works but...

When I have a target profile it means that I have target values for the various timepoints (e.g. timepoint 100: 10%, 200: 15%, 400: 45%, etc.) so not just one point. And I would need a model that would tell me what concnetration of X would give me a closest match.

My best shot so far was to create a single factor DOE where I set the timepoints as the responses and simply overwrote the parameters in the provided table with the parameters and results of my experiments and used the profilers.

But there must be a better way to do that, I guess.

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Feb 13, 2018 6:21 AM
(494 views)

Please don't be put off by the terminology. The 'degradation path' in the Degradation platform is just a model of the change in the response (dissolution) over time under the influence of a factor (excipient level). You can then profile the response under different conditions to find the target profile. You can use inverse prediction to find the condition that achieves a desired response level, too.

Learn it once, use it forever!

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Feb 13, 2018 6:29 AM
(966 views)

Also, you might try saving the model and creating a new response to optimize. A good choice would be the root mean square error (RMSE). A column formula could compare the predicted response with the target response using something like this

```
Sqrt(
Sum(
(P(t1,X) - T(t1))^2 +
(P(t2,X) - T(t2))^2 +
(P(t3,X) - T(t3))^2 +
(P(t4,X) - T(t4))^2 +
(P(t5,X) - T(t5))^2
)
)
```

where the P(t,X) is the fitted model of the predicted response at time t and excipient level X. T(t) is the target level at time t. You could use the Graph > Profiler with this column to optimize X (minimize response with desirability function).

Learn it once, use it forever!