This study considers the transport of oxygen (a growth-associated solute) a
nd lactate (a metabolic byproduct) in a flat-bed perfusion chamber modified
to retain cells through the addition of grooves, perpendicular to the dire
ction of flow, at the chamber bottom. The chamber has been successfully app
lied to hematopoietic cell culture and may be useful for other basic and ap
plied biomedical applications. The objective of this study is to characteri
ze the culture environment in terms of solute transport under various opera
tional conditions. This will allow one to improve the design and operating
strategy of the perfusion system for maximizing cell numbers. The system is
numerically simulated using the finite element package FIDAP. The reaction
kinetics describing oxygen uptake by cells are simplified to zero order to
give an upper bound for the oxygen consumption. A flat-bed chamber without
grooves is considered here as a benchmark. We show that the growth environ
ment is not oxygen limited (local oxygen concentration above 10 mu M) for a
variety of flow rates and culture conditions (qo(2) = 0.1 mu mol/(10(6) ce
lls h)). With a medium flow rate of 2.5 mL/min through the reactor, the mod
el predicts that the 29-cm(2) reactor can support at least 33.4 x 10(6) tot
al cells when the inlet medium is in equilibrium with high (20%) oxygen con
centration. The culture becomes oxygen limited however for the same flow ra
te for low (5%) oxygen concentration and can only support 7.2 x 10(6) total
cells. Comparison of grooved vs nongrooved chambers reveals that the prese
nce of grooves only affects solute transport on a local scale. This result
is attributed to the small size (200 mu m) of the cavities relative to the
chamber dimensions. The comparison also yields an empirical relation that a
llows for rapid estimation of oxygen and lactate concentrations in the groo
ves using only the numerical simulation of the simpler nongrooved chamber.
Finally, our investigation shows that, while decreasing the spacing between
cavities decreases the total number of cells the reactor can support, the
efficiency of the reactor is increased by 25% (on an area basis) without gr
owth restriction.