grofit (version 1.1.1-1)

gompertz: Gompertz growth law

Description

The function calculates the values of the Gompertz growth curve for given time points.

Usage

gompertz(time, A, mu, lambda, addpar = NULL)

Arguments

time

Time points (x-axes) for which the function values will be returned.

A

Maximum of the curve. If a vector is provided only the first entry is used.

mu

Maximum slope. If a vector is provided only the first entry is used.

lambda

Lag-phase. If a vector is provided only the first entry is used.

addpar

Additional parameters have no effect in this type of model. They belong to the standard model description in grofit and are initialized as addpar=NULL in the function header.

Value

Numeric vector giving the values of Gompertz growth law for numeric input vector time.

Details

The function follows the parametrization $$y(t)=A\cdot\exp\left[-\exp\left(\frac{\mu\cdot\exp(1)}{A}(\lambda-t)+1\right)\right]$$

Examples

x <- 1:30
y <- gompertz(x, 10, 2, 5)
plot(x,y)