# Dynamic Behavior of a Bioreactor

Dynamic Behavior of a Bioreactor

The dynamic behavior of a chemostat can be described with the following system of ordinary differential equations:

dX

dt

dS

dt

-μX

Y

S

in

where is the dilution rate in , is the biomass concentration in g/l, is the substrate concentration in g/l, is the feed substrate concentration, is the yield, and is the specific growth rate given by the Monod function: , where is the half saturation constant and is the maximum value of the specific growth rate (=1 here).

D

-1

s

X

S

S

in

Y=

dX

dS

μ

μ=S+S

μ

max

K

S

K

S

μ

max

μ

max

This Demonstration lets you plot the substrate and biomass concentrations versus time and observe the washout (a phenomenon that occurs when the dilution rate, , is so large that all micro-organisms will end up exiting the bioreactor). Another snapshot shows a situation where the biomass in the reactor reaches a steady-state value different from zero.

D