Keywords
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- AOB:
-
Ammonium oxidizing bacteria
- BbM:
-
Biomass-based model
- C:
-
Constant in Eq. (14)
- c :
-
Concentration (g/m3)
- CA:
-
Cellular automata
- c Fi :
-
Concentration of dissolved substance i at the biofilm surface (g/m3)
- c Bi :
-
Concentration of dissolved substance i in the completely mixed liquid phase (bulk phase) (g/m3)
- CBL:
-
Concentration boundary layer
- D :
-
Diffusion coefficient (m2/s)
- d :
-
Diameter (m)
- IbM:
-
Individual-based model
- j :
-
Mass flux (g/m2 d)
- k d :
-
Detachment coefficient (1/d)
- k d,random :
-
Detachment coefficient for random detachment events (1/d)
- k L :
-
Mass transfer coefficient (m/s)
- K S :
-
Monod constant (g/m3)
- L :
-
Number of grid cells in height/Length (m)
- L C :
-
Thickness of the concentration boundary layer (m)
- L F :
-
Biofilm thickness (m)
- L F,base :
-
Base biofilm thickness (m)
- m X :
-
Mass of biomass (g)
- N :
-
Number grid cells in length
- NOB:
-
Nitrite oxidizing bacteria
- Pe :
-
Peclet number
- p :
-
Pressure (N/m2)
- Re :
-
Reynolds number
- RS:
-
High rate strategist
- r :
-
Conversion rate (g/m3d)
- Sc :
-
Schmidt number
- Sh :
-
Sherwood number
- t :
-
Time (d)
- u :
-
Flow velocity (m/s)
- u F :
-
Relative velocity of a particulate component in the biofilm perpendicular to the substratum (m/d)
- V :
-
Volume (m3)
- X :
-
Biomass concentration (g/m3)
- Y :
-
Yield coefficient (g/g)
- YS:
-
High yield strategist
- Z f :
-
Position of an occupied grid cell above the substratum within the grid (N,L)
- Z fmax :
-
Highest occupied grid cell above the substratum within the grid (N,L)
- z :
-
Space coordinate perpendicular to the substratum
- α :
-
Biofilm surface enlargement
- ε :
-
Porosity
- ε S :
-
Fraction of the solid phase in the biofilm volume
- ε Fl :
-
Fraction of the liquid phase in the biofilm volume
- κ :
-
Parameter in Eq. (9)
- δ :
-
Parameter in Eq. (9)
- µ :
-
Growth rate (1/d)
- µ max :
-
Maximum growth rate (1/d)
- Ω :
-
Parameter in Eq. (12)
- σ :
-
Biofilm surface roughness
- ν :
-
Kinematic viscosity (m2/s)
- ρ :
-
Biofilm density (gX/m3) or
- .:
-
Density of fluid (kg/m3)
- τ :
-
Shear stress (N/m2)
- EPS:
-
Extracellular polymeric substances
- F :
-
Biofilm
- i :
-
Component i
- O2 :
-
Oxygen
- P :
-
Particle
- S :
-
Substrate
- X :
-
Biomass
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Acknowledgment
Many thanks to Roland Möhle and Danial Taherzadeh. Both did their PhDs on modeling of biofilm systems and thereby contributed significantly to the understanding of structure and function of mixed culture biofilm systems.
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Horn, H., Lackner, S. (2014). Modeling of Biofilm Systems: A Review. In: Muffler, K., Ulber, R. (eds) Productive Biofilms. Advances in Biochemical Engineering/Biotechnology, vol 146. Springer, Cham. https://doi.org/10.1007/10_2014_275
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