The derivative of the Gompertz function
'gompertzd' provides a way of specifying the derivative of the Gompertz function as a dose-response model.
gompertzd(fixed = c(NA, NA), names = c("a", "b"))fixed |
numeric vector. Specifies which parameters are fixed and at what value they are fixed. NAs for parameter that are not fixed. |
names |
a vector of character strings giving the names of the parameters (should not contain ":"). The default is (notice the order): a, b. |
The derivative of the Gompertz function is defined as
f(x) = a \exp(bx-a/b(exp(bx)-1))
For a>0 and b not 0, the function is decreasing, equaling a at x=0 and approaching 0 at plus infinity.
The value returned is a list containing the model function, the self starter function and the parameter names.
This function is for use with the function drm.
Christian Ritz
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