R: Gompertz Growth Model

SSgompertz {nls} | R Documentation

## Gompertz Growth Model

### Description

This `selfStart` model evaluates the Gompertz growth model and its gradient. It has an `initial` attribute that creates initial estimates of the parameters `Asym`, `b2`, and `b3`.

### Usage

    SSgompertz(x, Asym, b2, b3)

### Arguments

`x` | a numeric vector of values at which to evaluate the model.
`Asym` | a numeric parameter representing the asymptote.
`b2` | a numeric parameter related to the value of the function at `x = 0`
`b3` | a numeric parameter related to the scale the `x` axis.

### Value

a numeric vector of the same length as `input`. It is the value of the expression `Asym*exp(-b2*b3^x)`. If all of the arguments `Asym`, `b2`, and `b3` are names of objects the gradient matrix with respect to these names is attached as an attribute named `gradient`.

### Author(s)

Douglas Bates

### See Also

`nls`, `selfStart`

### Examples

    data(DNase )
    DNase.1 <- subset(DNase, Run == 1)
    SSlogis(log(DNase.1$conc), 4.5, 2.3, 0.7)  # response only
    Asym <- 4.5; b2 <- 2.3; b3 <- 0.7
    SSgompertz(log(DNase.1$conc), Asym, b2, b3 ) # response and gradient
    getInitial(density ~ SSgompertz(log(conc), Asym, b2, b3),
               data = DNase.1)
    ## Initial values are in fact the converged values
    fm1 <- nls(density ~ SSgompertz(log(conc), Asym, b2, b3),
               data = DNase.1)
    summary(fm1)

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