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 Modified Gompertz equation
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jcjuan

Malaysia
2 Posts

Posted - 01/19/2012 :  02:22:29 AM  Show Profile  Edit Topic  Reply with Quote  View user's IP address  Delete Topic
Origin Ver. and Service Release (Select Help-->About Origin): 8.5
Operating System:Window

How can I modify Gompertz equation to

y = ae -exp[k(xc-x)+1]

Original Gompertz equation:
y = ae -exp[-k(x-xc)]

Thank you

JC

Hideo Fujii

USA
1582 Posts

Posted - 01/19/2012 :  1:46:23 PM  Show Profile  Edit Reply  Reply with Quote  View user's IP address  Delete Reply
Hi JC,

The original Gompertz function is called SGompertz in Origin's NLFit tool, 
and can be referred as nlf_SGompertz(x, a, xc, k) in your user-defined 
fit function. Say, the original function is called G(x), and your modified 
function is Gm(x)=am*exp(-exp(k*(xc-x))); Then, 
  Gm(x)=G(x)^e , and am = a^e

Therefore, you can define your function Gm as:
 nlf_SGompertz(x, a, xc, k)^e  .

You can also define a derived parameter am such that 
 am = a^e

Hope I didn't make mistakes; (sorry if there...)

--Hideo Fujii
OriginLab



Edited by - Hideo Fujii on 01/19/2012 1:48:11 PM
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