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 Convolved Gaussian and Stretched Exponential		  New Topic  Reply to Topic
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kessm05

USA
2 Posts
Posted - 11/14/2022 :  10:13:02 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Hello,

We have some kinetic lifetime data that we are trying to model by the convolution of a gaussian instrument response function with a stretched exponential function for the signal. For reference the stretched exponential expression is given below.

y = Y0 + A * exp[-(x/t0)^b]

Unfortunately, the kinetic data we measure cannot be satisfactorily fit to either an exponential or biexponential function, and there is no physical basis for a triexponential model to be used.

I have tried fitting the signal and response together with the readily available convolution functions on the gaussian forums and cannot obtain a satisfying fit.

I have also followed the tutorial found here to perform the fit to a stretched exponential function in the worksheet with little success.

https://www.originlab.com/doc/tutorials/fitting-convolution

Any help creating a fitting function that can convolute these two functions would be greatly appreciated.

For reference, our lab is using OriginPro 2022b (academic)

Thanks!

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YimingChen

1691 Posts
Posted - 11/14/2022 :  1:50:19 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Have you tried this app to fit convolution?
https://www.originlab.com/FileExchange/details.aspx?fid=423

Please also check the attached project file for the fitting result using the stretched exponential function.
https://my.originlab.com/ftp/forum_and_kbase/Images/fitCon.opju

If it still doesn't work, please share your project file.

James
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