bioreactor studies of heterologous protein production by ...

pi(X-+X;) =DX-
Substituting Equations (6.13) and (6.7) into Equation (6.9) gives:
Integrating Equation (6.15) yields:
x+ = Xlexp(-k,t) (6. 16)
From Equation (6.2) and (6.16), it is interesthg to note that based on the ideaiized biafllm
model, plasmid loss kinetics for both biofilm and suspended ceUs in the immobïiized ce11
systern follow fust-order decay pattern with same decay rate constant in addition,
rearranghg Equation (6.12) and substituting X = X+ + X- and Xi = X: + X; into it
@va:
Equation (6.17) can be used to estimate the specinc growth rate in the immobilized-cell
system (b).
Since glucoamylase formation is growth-wociated, a quasi-steady-state enzyme
mas balance in the immobilized-ceU bioreactor cm be desaibed as following:
or
DP = Yp,xpiX* + Y,,,,piXi+
Subs tituting Equations (6.2) and (6.16) into Equation (6.19) gives:
(6.18)