I've never done it in Perl, but did do it in C a few million years ago using algorithms from Numerical Recipes. A search on "Levenberg Marquardt perl" turns up this:

Perl Data Language.

It's not a totally canned tool for what you want, but you should be able to use Levmar to do what you want, at least fit-wise

In reply to Re: sigmoidal curve fitting, calculating IC/EC50, and plotting the fitted curve by bitingduck
in thread sigmoidal curve fitting, calculating IC/EC50, and plotting the fitted curve by perlfun

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