Abstract
Design and selection of cell culture bioreactors are affected by cell-specific demands, engineering aspects, as well as economic and regulatory considerations. Mainly, special demands such as gentle agitation and aeration without cell damage, a well controlled environment, low levels of toxic metabolites, high cell and product concentrations, optimized medium utilization, surface for adherent cells, and scalability have to be considered. This chapter comprises engineering aspects of bioreactor systems (design, operation, scale-up) developed or adapted for cultivation of mammalian cells, such as bioreactors for suspension culture (stirred-tank reactors, bubble columns, and air-lift reactors), fixed bed and fluidized bed reactors, hollow fiber and membrane reactors, and, finally, disposable bioreactors. Aspects relevant for selection of bioreactors are discussed. Finally, an example is given of how to grow mammalian suspension cells from cryopreserved vials to laboratory and pilot scale.
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Abbreviations
- C o2 :
-
oxygen concentration
- d R :
-
stirrer diameter
- D R :
-
vessel diameter
- n R :
-
stirrer speed
- P/V :
-
mean power input per volume
- Re:
-
Reynolds number
- Θ m :
-
mixing time
- k La:
-
mass transfer coefficient
- U s :
-
superficial gas velocity
- A :
-
active membrane area
- Δci :
-
transmembrane concentration difference of component i
- P i :
-
permeability coefficient of a single component i
- r p :
-
particle radius
- S i :
-
transport of a certain component i through the membrane
- U p :
-
particle velocity in the gravitational field
- η fl :
-
fluid viscosity
- ρ fl :
-
fluid density
- g :
-
gravitational force
- A :
-
cross-sectional area of the fluidized bed vessel
- D FB :
-
diameter of the bed of the fluidized bed or fixed bed
- H FB :
-
height of the fluidized bed or fixed bed
- K :
-
constant depending on particle shape and surface properties
- k aV :
-
decay constant of retrovirus vector
- q O2 :
-
cell specific oxygen consumption rate
- q FB * :
-
volume-specific uptake or production rate related to fixed bed volume
- S v :
-
surface area per unit volume of particles
- U fl :
-
fluid velocity
- V FB :
-
volume of fluidized bed or fixed bed
- X :
-
number of immobilized cells
- Δp :
-
pressure drop
- ε:
-
void fraction
- ρ fl :
-
fluid density
- ρ s :
-
solids apparent density
- a :
-
solute equivalent spherical radius (m)
- C = X 2/X 1 :
-
cell concentration factor
- D s :
-
unhindered solute diffusion coefficient (m2 s−1)
- D M :
-
solute diffusion coefficient in the membrane (m2 s−1)
- D R = Q F/V :
-
dilution rate (s−1)
- D R,crit :
-
critical dilution rate at wash-out (s−1)
- J s :
-
solute flux (gmol s−1 m−1)
- J v :
-
solvent flux (m s−1)
- k :
-
overall cell mass transport coefficient (m3 m−2 s−1)
- k c :
-
kinetic constant of substrate utilization (s−1)
- K :
-
partition coefficient of a solute between the membrane and the neighboring fluid
- K s :
-
Michaelis constant for substrate utilization (gmol m−3)
- L :
-
active fibre length (m)
- L p :
-
membrane hydraulic permeability (m2 s kg−1)
- MW:
-
molecular weight
- N A = 6.023 × 1023 :
-
Avogadro’s number (molecules/mole)
- P :
-
pressure (kPa)
- \(Pe_{ax} = {U_0 L \over D_s}\big({R_i \over L}\big)\) :
-
reduced axial Peclet number
- P M :
-
solute diffusive permeability in the membrane (m s−1)
- \(Pe_{w}(Z) = {V_w (Z) R_i \over D_s}\) :
-
local wall Peclet number
- Q F :
-
feed flow rate (m3 s−1)
- Q R :
-
recycle flow rate (m3 s−1)
- Q 1 :
-
flow rate of the stream leaving the bioreactor tank (m3 s−1)
- R = (1 − S):
-
membrane rejection coefficient towards the solute
- \({\rm Re}_{in} = {U_0 R_i \over \eta\pi}\) :
-
inlet Reynolds number
- R i :
-
inner membrane radius (m)
- R K :
-
radius of Krogh cylinder (m)
- R M :
-
membrane resistance to diffusive transport (s m−1)
- R o :
-
outer membrane radius (m)
- R R = QR/QF :
-
recycle ratio
- R u = 8.314 × 107 :
-
universal gas constant, (dynes cm (mole K)−1)
- S :
-
membrane sieving coefficient towards the solute
- S F :
-
substrate concentration in the feed stream, (gmol m−3)
- S 1 :
-
substrate concentration in the stream leaving the bioreactor tank (gmol m−3)
- T :
-
temperature (K)
- u o :
-
fiber lumen inlet axial velocity (m s−1)
- V :
-
bioreactor volume
- v w :
-
transmembrane wall velocity (m s−1)
- X :
-
cell concentration in the permeate or removal stream (cells/m3)
- X gell :
-
cell concentration in the gel/cake (cells/m3)
- X o :
-
initial cell concentration in the bioreactor (cells/m3)
- X 1 :
-
cell concentration in the stream leaving the bioreactor tank (cells/m3)
- X 2 :
-
cell concentration in the stream leaving the membrane module (cells/m3)
- Y X/S :
-
cell yield coefficient
- Z :
-
axial coordinate (m)
- \(\alpha = L\big({16 \eta_{fi}L_P \over R_i^3} \big)^{1 \over 2}\) :
-
fiber Pressure modules
- δ :
-
membrane wall thickness (m)
- η fl :
-
bulk solution viscosity (kg m−1 s−1)
- μ :
-
specific cell growth rate (s−1)
- μ max :
-
maximal cell growth rate (s−1)
- Π:
-
osmotic pressure (kPa)
- σ:
-
Staverman reflection coefficient
- \(\Phi^2 = {\pi_{{\rm max}}x_o \over y_{x/s} S_F D_S} (R_k - R_o)^2\) :
-
towards the solute squared Thiele modulus
- \(\Psi = {S_F Y_{X/S} \over X_o}\) :
-
dimensionless yield coefficient
- i :
-
refers to device inlet
- L :
-
liquid phase
- M :
-
membrane phase
- o :
-
refers to device outlet
- w :
-
refers to the membrane interface with the liquid
- BEV:
-
Baculovirus expression vector CHO cells Chinese hamster ovary cells
- PER.C6:
-
cells human embryogenic retinoblast cells
- k La:
-
gas-liquid mass transfer coefficient
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Catapano, G., Czermak, P., Eibl, R., Eibl, D., Pörtner, R. (2009). Bioreactor Design and Scale-Up. In: Cell and Tissue Reaction Engineering. Principles and Practice. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-68182-3_5
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