growthrates (version 0.8.4)

grow_logistic: Logistic Growth Model

Description

Classical logistic growth model written as analytical solution of the differential equation.

Usage

grow_logistic(time, parms)

Value

vector of dependent variable (y).

Arguments

time

vector of time steps (independent variable)

parms

named parameter vector of the logistic growth model with:

• y0 initial value of population measure

• mumax intrinsic growth rate (1/time)

• K carrying capacity (max. total concentration of cells)

Details

The equation used is: $$y = (K * y0) / (y0 + (K - y0) * exp(-mumax * time))$$

See Also

Other growth models: grow_baranyi(), grow_exponential(), grow_gompertz2(), grow_gompertz(), grow_huang(), grow_richards(), growthmodel, ode_genlogistic(), ode_twostep()

Examples

time <- seq(0, 30, length=200)
y    <- grow_logistic(time, c(y0=1, mumax=0.5, K=10))[,"y"]
plot(time, y, type="l")