Custom path definition in the Destructive Degradation platform

pepees — Thu, 10 Aug 2023 15:02:07 GMT

The Destructive Degradation (DD) platform provides a list of built-in path definition models. I'm interested in fitting a first-order nonlinear kinetics model to experimental data collected at various temperatures using an Arrhenius transformation of temperature. All the Arrhenius-based kinetics models that are built-in in JMP 17.0 represent the path definitions having common intercepts and asymptotes. For example,

(1) First-order kinetics type 2: μ = b0 * [1 - Exp[-b1 * Exp[b2 * [Arrhenius(X0) - Arrhenius(X)]] * f(time)]], where b0 represents a common asymptote, or

(2) Arrhenius Rate: μ = b0 ± Exp[b1 + b2 * Arrhenius(X)] * f(time), where b0 represents a common intercept.

Is there a way to create a custom path definition for the DD model that fits experimental data approaching separate asymptotes?

Re: Custom path definition in the Destructive Degradation platform

peng_liu — Sat, 12 Aug 2023 13:40:19 GMT

The software allows you to do so. Just put a bracket after the asymptote parameter, inside of which is the variable for the separation, like this: .

But you should approach this carefully. The model is not designed for such a purpose. New issues will emerge based on your data and choice of model. One immediate consequence is that the distribution profiler in the result is no longer valid.

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Custom path definition in the Destructive Degradation platform

Re: Custom path definition in the Destructive Degradation platform