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Μms K S+ S K Ki: Α∧Β Constant

The document discusses mathematical models for microbial growth including a Monod growth model involving substrate and light intensity, a model linking biomass and product formation, and models linking substrate or light consumption to biomass growth with yield and maintenance coefficients.

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DoctorOberman
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84 views1 page

Μms K S+ S K Ki: Α∧Β Constant

The document discusses mathematical models for microbial growth including a Monod growth model involving substrate and light intensity, a model linking biomass and product formation, and models linking substrate or light consumption to biomass growth with yield and maintenance coefficients.

Uploaded by

DoctorOberman
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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m S

1- =

dx
=
xdt

S2
K s+ S+
K is

K I

I2
KI +I +
K II

X(gr/lit biomass concentration), S(substrate concentration gr/lit), (I light


intensity), Ks(saturation constant, gr/lit), (kis inhibition constant gr/lit),( Ki
saturation constant),(KII inhibition constant), (t time day)
According to experiment results and curve fitting with matlab
m

Ks

Kis

KI

KII

R^2

0.13

0.117

0.073

4.92

1.56

15.42

0.917
4

2-

adj
R^2
0.897
6

dp
dX
=
+X
dt
dt
(P product concentration gr/lit, X biomass concentration

3-

d S
1 dX
=
+ m1 X
dt
Y X dt
S

(Yx/s =constant, m1 constant)

d I 1 d X
=
+m2 X
Y X dt
4- dt
I

constant

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