Gompertz (log y = false) (locked by owner)

Simulation URL

https://sels.tecnico.ulisboa.pt/simulators/gompertza.cgi

Parameter estimation URL

https://sels.tecnico.ulisboa.pt/estimators/gompertza.cgi

Description

This model will transform your data to y* = y - y0 and fit the transformed data to the model. And then revert the transformation and show the results in the initial space.

It assumes that the data is already in log scale.

M. H. Zwietering, I. Jongenburger, F. M. Rombouts, and K. van t Riet. Modeling of the bacterial growth curve. Applied and Environmental Microbiology, 56(6):18751881, June 1990.

Definition

\(
y(t) = A \cdot \exp \left \{ -\exp\left [ \frac{\mu_{\max}\cdot e}{A}\left ( \lambda -t \right )+1\right ] \right \}
\)

Listing 5 parameters

Code	Human	Description	Bottom	Top	Output	I.Cond.
A	A	A=ln( Nmax / N0)	0.3	30.0	false	false
lambda	λ	lag until exponential growth occurs	-0.2	5.0	false	false
miu	μ max.	maximum growth rate	0.0	2.0	false	false
N_0	Ln(N(0))	Initial value for N			true	false
o	Optimal Cost	not used in the solver			true	false