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Microbialbiotechnologyinthelaboratoryandinpractce
Thebiomassbalanceforthistypeofcultureisdescribedas
follows:
dx
dt
1
P
X
Intheexponentialphase,forthevalueP=u
max
:
X
1
Xe
0
P
max(
t
-
t
0
)
𝑑𝑋
𝑑𝑑
=𝜇𝑋
Thegrowthofthemicroorganismcanalsobeexpressedby
theparameter
-timetodoublethebiomass(td).Assumptionthat:
2
X
0
1
Xe
0
P
max
td
leadstotherelationshipln2=ut
d
,i.e.,
t
d1
P
ln
max
2
TheeasiestwaytodeterminePmaxinthecultureistoobserve
thechangesintheamountofbiomassovertime,preparingagraph
inlnX-timeofculturesystem.Fortheidentifiedexponentialphase,
wedeterminetwopoints,t
1
X
1
andt
2
X
2
andusingtheformula:
P
max
1
ln
X
t
2
2
-
-
t
ln
1
X
1
calculateP
max
[h
-1
].
Thegrowthofthemicrobialbiomassisassociatedwiththe
disposalofthesubstrateintheculturemedium.Theparameter
describingtheratioofbiomassgrowthtotheamountofused
substrateisthemassyieldfactorY
XS
Y
xs1
-
'
'
X
S
1
-
X
(
SS
-
-
X
0
0
)
forX
0
,S
0
describingtheinitialconcentrationofbiomassand
substrate.
Advantagesofbatchculture:
•
shortculturetimefacilitatesthemaintenanceofsterile
conditionsandpreventsmutations;
•Simpleculturepreparation.
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