grow_gompertz2 {growthrates} | R Documentation |
Growth Model According to Gompertz
Description
Gompertz growth model written as analytical solution of the differential equation system.
Usage
grow_gompertz2(time, parms)
grow_gompertz3(time, parms)
Arguments
time |
vector of time steps (independent variable). |
parms |
named parameter vector of the Gompertz growth model with:
|
Details
The equation used here is:
Functions grow_gompert2
and grow_gompertz3
describe
sigmoidal growth with an exponentially decreasing intrinsic growth rate with
or without an additional lag parameter. The formula follows the
reparametrization of Zwietering et al (1990), with parameters that have
a biological meaning.
Value
vector of dependent variable (y
)
References
Tsoularis, A. (2001) Analysis of Logistic Growth Models. Res. Lett. Inf. Math. Sci, (2001) 2, 23-46.
Zwietering, M. H., Jongenburger, I., Rombouts, F. M., and Van't Riet, K. (1990). Modeling of the bacterial growth curve. Appl. Environ. Microbiol., 56(6), 1875-1881.
See Also
Other growth models:
grow_baranyi()
,
grow_exponential()
,
grow_gompertz()
,
grow_huang()
,
grow_logistic()
,
grow_richards()
,
growthmodel
,
ode_genlogistic()
,
ode_twostep()
Examples
time <- seq(0, 30, length=200)
y <- grow_gompertz(time, c(y0=1, mumax=.2, K=10))[,"y"]
plot(time, y, type="l", ylim=c(0, 12))