Hi.  I am trying to do a nonlinear regression on a set of data with Monod
kinetics and Haldane inhibition.  I am using the following commands to do
the nonlinear regression:

dce<-read.delim("data.txt", header = TRUE, sep = "\t", quote="\"", dec=".",
fill = TRUE, comment.char="")
dce.m1<-nls(rate~kmax*conc/(Ks+conc+((conc^2)/Ki),data=dce
,start=list(Ks=1000,kmax=6000,Ki=10000),trace=TRUE)

I get reasonable answers for Ks, kmax and Ki from this.
However, I want to find the 95% confidence intervals for each of these
values.  So I first use the command profile:

(pr <- profile(dce.m1))

And then I ususally use the following command to get the confidence
intervals:

confint(pr, level=0.95)

However, when I run the profile command, I am getting the following error:

Error in prof$getProfile() : singular gradient

Do you have any idea what this means, or what I can do to fix it?
I have attached the corresponding file with the data I'm using in case that
helps.

Thanks!
Gretchen Heavner
conc    rate
1.642954108     4.460677577
1.96419336      5.369018741
2.411233484     303.4816161
2.083860628     406.5940798
3.237105618     332.5106627
1.541574251     310.1025388
0       2.746097252
0       3.236122145
0       5.387406642
2.613273505     544.3881261
1.674376521     535.2056647
1.272419565     688.773693
6506.124712     3193.54196
636.4890845     534.5243761
179.4848649     642.7148796
394.8780499     536.3999568
821.4336211     3018.968118
1985.399238     2880.47305
203.254026      1030.660214
11.6416869      446.6209406
1159.841416     2240.487362
179.1906363     1245.802977
25.32770902     562.8883166
278.1572449     709.1081229
24.3055219      249.1544286
187.6656906     678.752123
8.881946288     350.5795416
7554.586825     2724.21323
7430.314722     2745.073389
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