Bioprocess Engineering 2nd Edition by Fikret Kargi,Michael Shuler

تمرين 10

It is desired to model the growth of an individual bacterium. The cell transports S₁ into the
cell enzymatically, and the permease is subject to product inhibition. S₁ is converted into pre-
cursors, P, that are converted finally into the macromolecular portion of the cell, M. The cata-
lyst of all reactions is M.
(1) (per unit surface area)where S* = outside concentration of S
(2) (3a) (3b) The dry weight of the cell is T and is equal to
(4) where cell density and V = cell volume
Write the equations and define all symbols necessary to describe the changes in S₁, P, M, and
T within the cell. Remember that the cell volume is always changing.