Abstract
A mathematical model of the biodegradation of xenobiotics by microbial cells attached to particles of granulated activated carbon was developed. The model allowed the quantitative evaluation of different characteristics of the biofilm behavior: retarded microbial growth, increased concentration of immobilized cells compared to suspended cultures, potential cell detachment from the solid support and consequent independent growth of free cells. The applicability of the model was demonstrated for our own experimental data for 1,2- dichloroethane (DCA) biodegradation by Klebsiella oxytoca VA 8391 cells attached to granulated activated carbon. Two types of reactors, recirculated batch and continuous flow bioreactor, were studied. It was shown that in all investigated cases, the major contribution to DCA biodegradation was provided by the immobilized cells. Furthermore, immobilized cells were found to tolerate much higher substrate concentration and dilution rates in continuous culture than the free cells.
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Abbreviations
- A :
-
adsorbent/liquid interface area, m2
- a = A/V :
-
specific interface area of the adsorbent, m−1
- D :
-
dilution rate for the storage tank, h−1
- D r = Q/V :
-
dilution rate for the fixed-bed reactor with immobilized cells, h-1
- k :
-
a parameter in the Langmuir isotherm, kg m−3
- K I :
-
substrate inhibition constant, kg m−3
- k im, :
-
cells leakage factor, m h−1
- k L :
-
mass transfer coefficient for DCA for porous media, m h−1
- k L a :
-
volumetric mass transfer coefficient for DCA for adsorption, h−1
- K s :
-
saturation constant, kg m−3
- M :
-
molecular masses of substrate (DCA) and of the product (Cl2)
- P :
-
product (chloride) concentration, kg m−3
- Q :
-
feed flow rate, m3 h−1
- S :
-
substrate (DCA) concentration, kg m−3
- t :
-
time, h
- V :
-
fixed-bed volume, m3
- w :
-
average linear flow velocity at feed flow rate Q, m s−1
- X :
-
concentration of free cells, kg m−3
- X im,0 :
-
initial concentration of immobilized cells, kg m−3
- Y X/S :
-
yield coefficient for free biomass production, kg cells/kg substrate, Table 2
- Y P/S = M Cl2/M DCE :
-
product yield coefficient (–)
- β :
-
biodegradation rate constant due to free cells in the stationary phase, h−1
- β im :
-
biodegradation rate constant due to immobilized cells in the stationary phase, h−1
- Г:
-
equilibrium adsorption capacity of DCA in the Langmuir isotherm, g kg−1
- Г∞ :
-
adsorption capacity limit for DCA in the Langmuir isotherm, g kg−1
- ε:
-
stagnant bed porosity, (–)
- η = P/S inlet :
-
degradation efficiency of the continuous-flow bioreactor, moles/moles
- μ max :
-
maximum specific growth rate for free cells, h−1
- μ max,im :
-
maximum specific growth rate for immobilized cells, h−1
- 1:
-
values of the free cells in the fixed-bed reactor
- im:
-
values of the bacteria immobilized on the granulated activated carbon
- inlet:
-
the inlet substrate concentration
- 0:
-
initial values
- max:
-
maximum values
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Acknowledgments
This work is supported by a research grant from the European Community’s Human Potential Programme under contract HPRN-CT-2002-00213 (BIOSAP).
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Mileva, A., Sapundzhiev, T. & Beschkov, V. Modeling 1,2-dichloroethane biodegradation by Klebsiella oxytoca va 8391 immobilized on granulated activated carbon. Bioprocess Biosyst Eng 31, 75–85 (2008). https://doi.org/10.1007/s00449-007-0148-6
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DOI: https://doi.org/10.1007/s00449-007-0148-6