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Solutions of Population Balance Models Based on a Successive Generations Approach by Jia-Jer Liou; Friedrich Srienc; A.G. Fredrickson is a Engineering article available to read on EtoBox.

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Microbial and cell cultures are composed of discrete organisms, each of which goes through a cell cycle that terminates in production of new cells. The internal state of an individual cell changes as the cell progresses through the cell cycle, and randomness in various features of the cell cycle always produces a distribution of cell states in the culture. Rigorous models of this situation lead to the so-called population balance equations, which are integropartial differential equations. These equations are notoriously difficult to solve, and the difficulties increase as the number of parameters needed to describe cell state increases. The cells in a culture are of different generations, and cells of the (k + l jth generation originate only from divisions of cells of the kth generation. A population balance equation written for the Ik + l lth generation is therefore not an integral equation, although it contains a source term which is an integral over the distribution of states of the kth generation. If competition of coexisting generations for environmental resources does not affect growth and reproduction rates, the population balance equations for the various generations in a c

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Author

Jia-Jer Liou; Friedrich Srienc; A.G. Fredrickson

Publisher

Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0009-2509)

Published

1997

Language

EN

Field

Engineering (Physical Sciences)