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 Modified Gompertz equation

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T O P I C    R E V I E W
jcjuan Posted - 01/19/2012 : 02:22:29 AM
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
1   L A T E S T    R E P L I E S    (Newest First)
Hideo Fujii Posted - 01/19/2012 : 1:46:23 PM
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



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