Density distribution of growing immobilized cells

Adriana Wolffberg; Sheintuch Moshe

doi:10.1016/0009-2509(93)80372-W

Density distribution of growing immobilized cells

Adriana Wolffberg, Sheintuch Moshe^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	3937-3944
Number of pages	8
Journal	Chemical Engineering Science
Volume	48
Issue number	23
DOIs	https://doi.org/10.1016/0009-2509(93)80372-W
State	Published - 1993
Externally published	Yes

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title = "Density distribution of growing immobilized cells",

abstract = "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.",

author = "Adriana Wolffberg and Sheintuch Moshe",

note = "Funding Information: Acknowledgement-Work supported by the Nidersachsis-then Ministerium fur Wissenschaft und Kunst.",

year = "1993",

doi = "10.1016/0009-2509(93)80372-W",

language = "英语",

volume = "48",

pages = "3937--3944",

journal = "Chemical Engineering Science",

issn = "0009-2509",

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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.

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DO - 10.1016/0009-2509(93)80372-W

M3 - 文章

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SN - 0009-2509

VL - 48

SP - 3937

EP - 3944

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 23

ER -

Density distribution of growing immobilized cells

Abstract

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