bioreactor studies of heterologous protein production by ...

where 6 = p- - p' + pp*, which is always positive because p- 2 $. Eq. (4.5) shows
that the concentration of plasmid-hx œlls inmases with culture the. Letting B = X /
f and dividing Eq. (4.5) by Eq. (4.2), one obtains:
Differentiaüng Eq. (4.6) and rearranging the resuit yields:
Substimting Eq. (4.6) into Eq. (4.7) gives:
dB
According to Eq. (4.8), the slope of a plot of - venus B is:
dt
and the intercept of the plot is:
C, =p--p++pp+ (4.9)
b = pp* (4.10)
According to Eq. (4.2), a semilogarithmic plot of X versus tirne t yields a dope oE
C, = v+-p~'-D=-k~ (4.1 1)
Solving Eq. (4.91, (4.10) and (4.1 1) for the spsinc growth rate of ped-beeg celis,
the s w c growth rate of plasruid-free celis and probability of plasmid los gives:
p+=C,+b+D (4.12)
p-=C,+C,+D (4.13)