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 Modified Gompertz equation for Bio-Hydrogen

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T O P I C    R E V I E W
Tejaswi Posted - 04/14/2021 : 06:10:20 AM
Hello all,
I am trying to fit my experimental data of bio-H2 production into modified gompertz.

The equation I want to use is

y = H*exp(-exp(((H*2.718)/H)*(l-t)+1))

Here H is the maximu cumulative Hydrogen
Y is the amount of hydrogen that is calculated at a given time

I created a duplicate version of the existing gompertz equation and modified the C program.
I have "x" as independant variable and "y" as dependant variable. The parameters are H, R,l,t

When I try to fit the equation, it does not calculate the values of y when I check the report. It shows an error saying "Fit failed (-207)"

I tried making modifications in the program and it shows an error. Any help in regards to programming and fitting the datas is appreciated.

Thanks and Regards,
Tejaswi
3   L A T E S T    R E P L I E S    (Newest First)
AmandaLu Posted - 04/20/2021 : 10:47:16 PM
Hi Tejaswi,

The OC code is used to calculate the initial values of parameters. Y doesn’t need a initial value to fit. If you want to fit Y with your defined function, you can select Analysis: Fitting: Nonlinear Curve Fit menu. In the dialog, select your defined function and fit your XY data.

Thanks,
Amanda
OriginLab Technical Service
Tejaswi Posted - 04/15/2021 : 1:19:43 PM
Hi,
I corrected the equation.
y=H*exp(-exp(((R*2.718)/H)*(l-t)+1))

and the C program I modified is :

sort( x_y_curve );
//smooth( x_y_curve, 2 );
H = max(y_data);
x_y_curve = ln( x_y_curve );
x_y_curve = ln( ln(H) - x_y_curve );
double coeff[2];
fitpoly( x_y_curve, 1, coeff );
R= -coeff[0] / coeff[1];
l = -coeff[1];

I am not sure how I can write a code to calculate the values of Y.

Regards,
Tejaswi.
AmandaLu Posted - 04/14/2021 : 06:41:05 AM
Hi,

First of all, please make sure you defined the function correctly. For example, I don’t see a parameter “R” in the function you mentioned.

Secondly, "Fit failed (-207)" means “Fit did not converge, for some other unknown reason(s).”
https://www.originlab.com/doc/Origin-Help/NLFit-Result-FitStatusCode

You can refer to this page for a possible reason:
https://www.originlab.com/doc/Origin-Help/The_Reason_Why_Fail_to_Converge

Thanks,
Amanda
OriginLab Technical Service

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