Nonlinear fitting with latest MMA 10.4.1 vs MMA 7?

Questions
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1

Hi expersts,
in the paper ***Golicnik, M. (2013). The integrated Michaelis-Menten rate equation: deja vu or vu jade. Journal of Enzyme Inhibition and Medicinal Chemistry, 28(4), 879-883. doi:10.3109/14756366.2012.688039 ** there is used Mathematica version 7 with an nonlinear optimization, which might work fine. But in the latest MMA 10.4.1 I get an optimization error: see pic attached

Error_Golicnik_MMA1041.gif
Error_Golicnik_MMA1041.gif1561×869 35.2 KB

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Can anyone here help me, in making the NB working for the latest MMA? I just realized that it works fine with only 4 datasets.

But can anyone here tell me how I can plot the solution sophistically?
I have attached the new NB here.

2

Ok.I’m no expert.You can tell me, base already met.

I do not have a MMA 10.4.1 only 10.2.0.In my version it works.

Please see uploaded file.

3

Thanks Mariusz, for the Verification. The originate problem was, that I had some wrong data points, so the ODE could not be solved.
Now the data is updated correctly and it works fine again.
Best