dot-gompertz.formula: Gompertz equation.

In MicrobialGrowth: Estimates Growth Parameters from Models and Plots the Curve

Gompertz equation.

Description

Gompertz equation.

Usage

.gompertz.formula(N0, Nmax, mu, lambda, base = exp(1))

Arguments

N0	initial population.
Nmax	final/maximum population.
mu	growth rate.
lambda	latency time.
base	the logarithm base used for plot y-scaling. By default, the natural logarithm is used. Set NULL to not scale.

Details

The output result is by default in the form ln(N_t/N0) (with N_t the population at time t). The base used can be modified by specifying the desired base in the base argument. For example, specifying base=10 corresponds to output in the form ⁠log_{10}(N_t/N0)⁠. It is possible to specify base = NULL to retrieve the normal N_t output.

Value

a function taking as input x (the time) and outputting the value of the Gompertz equation.

Examples

f <- .gompertz.formula(0.1, 2, 0.2, 5)
f(4)
## [1] 0.1150952
f(20)
## [1] 2.505549

MicrobialGrowth documentation built on April 12, 2025, 1:34 a.m.