TY - JOUR
T1 - Density distribution of growing immobilized cells
AU - Wolffberg, Adriana
AU - Moshe, Sheintuch
N1 - Funding Information:
Acknowledgement-Work supported by the Nidersachsis-then Ministerium fur Wissenschaft und Kunst.
PY - 1993
Y1 - 1993
N2 - The cell-density distribution, associated with the slow growth of cells immobilized within a hollow-fiber or packed-bed reactor, is solved for various kinetics of substrate consumption. Approximate and numerical solutions, for first-order kinetics, show that the total cell mass grows at half the specific rate of free cells when substrate diffusion is growth limiting. This integral property, as well as the spatial distribution of substrate concentration and cell density, are approximately similar to those of zero-order kinetics, for which a simple analytical solution exists. Similar features are simulated for other positive-order (e.g. Monod) kinetics. Self-inhibitory kinetics of substrate consumption may lead to a nonmonotonic profile of cell-density and to multiple growth solutions.
AB - The cell-density distribution, associated with the slow growth of cells immobilized within a hollow-fiber or packed-bed reactor, is solved for various kinetics of substrate consumption. Approximate and numerical solutions, for first-order kinetics, show that the total cell mass grows at half the specific rate of free cells when substrate diffusion is growth limiting. This integral property, as well as the spatial distribution of substrate concentration and cell density, are approximately similar to those of zero-order kinetics, for which a simple analytical solution exists. Similar features are simulated for other positive-order (e.g. Monod) kinetics. Self-inhibitory kinetics of substrate consumption may lead to a nonmonotonic profile of cell-density and to multiple growth solutions.
UR - http://www.scopus.com/inward/record.url?scp=0027790603&partnerID=8YFLogxK
U2 - 10.1016/0009-2509(93)80372-W
DO - 10.1016/0009-2509(93)80372-W
M3 - 文章
AN - SCOPUS:0027790603
SN - 0009-2509
VL - 48
SP - 3937
EP - 3944
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 23
ER -