[R] nls problem with R
sterlesser
sterlesser at hotmail.com
Thu May 5 10:20:33 CEST 2011
ID1 ID2 t V(t)
1 1 0 6.053078443
2 1 0.3403 5.56937391
3 1 0.4181 5.45484486
4 1 0.4986 5.193124598
5 1 0.7451 4.31386722
6 1 1.0069 3.645422269
7 1 1.5535 3.587710965
8 1 1.8049 3.740362689
9 1 2.4979 3.699837726
10 1 6.4903 2.908485019
11 1 13.5049 1.888179494
12 1 27.5049 1.176091259
13 1 41.5049 1.176091259
The model
(1) V(t)=V0[1-epi+ epi*exp(-c(t-t0))]
(2) V(t)=V0{A*exp[-lambda1(t-t0)]+(1-A)*exp[-lambda2(t-t0)]}
in formula (2) lambda1=0.5*{(c+delta)+[(c-delta)^2+4*(1-epi)*c*delta]^0.5}
lambda2=0.5*{(c+delta)-[(c-delta)^2+4*(1-epi)*c*delta]^0.5}
A=(epi*c-lambda2)/(lambda1-lambda2)
The regression rule :
for formula (1):(t<=2,that is) first 8 rows are used for non-linear
regression
epi,c,t0,V0 parameters are obtained
for formula (2):all 13 rows of results are used for non-linear regression
lambda1,lambda2,A (with these parameters, delta can be calculated from them)
Thanks for help
Ster Lesser
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