WOLFRAM NOTEBOOK

WOLFRAM|DEMONSTRATIONS PROJECT

Michaelis-Menten Kinetics in a Chemostat

​
a
1.5
b
1.5
c
0.35
The concentration of an organism culture
(
X
1
)
grows in the presence of nutrient concentration
(
X
2
)
at a rate described by the Michaelis–Menten scheme. In dimensionless form the kinetic equations are:
X
1
'(t)=a
X
1
(t)
X
2
(t)/(1+
X
2
(t))-
X
1
(t)
,
X
2
'(t)=-
X
1
(t)
X
2
(t)/(1+
X
2
(t))+b
. The time evolution of the two concentrations is presented as a function of the growth constant
a
, the nutrient flux,
b
, and the initial concentration,
c
. The phase plane map of these equations is shown simultaneously.
Wolfram Cloud

You are using a browser not supported by the Wolfram Cloud

Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.


I understand and wish to continue anyway »

You are using a browser not supported by the Wolfram Cloud. Supported browsers include recent versions of Chrome, Edge, Firefox and Safari.