Applied mathematics: Is there a way to characterize transient warmup time to reduce settling time errors?

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I don't know if this is the right place to post this but

I have an electronic sensor that measures conductance using Conductance = I/V. The results are very good especially with a Newton Raphson filtering algorithm. However there is a warmup time of the circuit itself of approximately 4 minutes before getting peak performance, as seen below., (Xaxis in seconds)

For each individual sensor reading there will be a warmup time if the system isn't running for 4 minutes or longer.

In some ways 4 minutes is way too long. Is there a way to capture the first 30 readings and mathematically characterize the transient warmup time? Or characterize the trajectory?

That way, instant readings under 4 minutes can be calibrated out to be closer to peak performance?

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