shear stress turns this flow into a turbulent flow; the fluid moves randomly in all
directions but yields a flow in one direction with an average velocity. Turbulent
flow regimes are typically associated with higher shear stress.
Shear stress occurs in a bioreactor by stirring or when air bubbles disrupt.
Likewise, high shear stress conditions can occur, when cells or virus particles are
pumped through tubings. Peristaltic pumps are often used for such pumping actions
for example for inoculum or virus addition or harvesting. But peristaltic pumps can
cause very high shear stress that often results in cell damage or cell death. An
alternative option is, e.g., the use of magnetic levitating pumps from Levitronix.
Furthermore, for the transfer of all liquids containing cells or virus particles, the
flow rate and inner tube diameter should be well chosen. In particular, switching
between diameters can cause additional shear (equally the transfer through con-
nectors). For vessel-to-vessel transfers, tubes should end as close as possible to the
liquid level to avoid further cell damage.
5.6.2.4
Oxygen Supply
Lastly and of great relevance is the oxygen supply. Oxygen is an essential substrate
for the cell, due to its crucial role as last electron acceptor within the respiratory chain.
However, for their cultivation, cells are submerged in an aqueous liquid phase. Since
O2 is a gaseous non-polar molecule, its solubility is extremely low, around 7 mg/L at
37°C and 1 atm [56]. The biomass, salts, sugars, and other complex components in
conventional culture media lower O2 solubility in an additive way as a function of
their concentration, so it can be up to 30% lower in comparison to its solubility in
water at the same temperature and pressure [57,58]. To make O2 available to the cells
in culture, it has to be transferred from the gaseous to the liquid phase, which is the
limiting step in this process. The overall oxygen transfer rate (OTR) is described by
the following expression:
(
)
OTR
k a C
C
=
L
O
O
2
2
(5.2)
where k a
L
[h−1] is the volumetric mass transfer coefficient, CO2 [mM] is the oxygen
saturation concentration and CO2 [mM] the actual oxygen concentration.
As long as the O2 demand increases during the cell growth phase or early virus
production phase (before virus-induced apoptosis and cell death), pO2 decreases
progressively [56]. Below a threshold value (about 5% pO2), animal cells reshape
their metabolism to cope with their energy and reducing power needs. Under this
scenario, it is said that the cell culture is O2 limited. In industrial scale bioreactors,
O2 limitation not only is a function of time, but also of space in case of the in-
efficient mixing. The latter results in a poor dispersion of air bubbles, so that regions
with different O2 concentrations and OTRs can appear [59]. The heterogeneities to
which the cells are exposed to and that are magnified with the increase in scale, are
often responsible of their low process performance.
Maximizing the OTR in bioreactor design and operation might prolong cells’
productive time, from the high-throughput screening systems to the tenths m3
production bioreactors. The fundamental guidelines in the strategies to increase
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