C
|
solute concentration, M |
Ccell
|
cell density, cell/cm2
|
CL,a
|
lidocaine concentration in the adsorbed phase, moles/cm2
|
CO2,eq
|
dissolved oxygen concentration in medium equilibrating the above gas, M |
|
Damkoehler number, |
DO2
|
oxygen diffusion coefficient in medium, cm2/s |
fu
|
unbound lidocaine fraction, |
h
|
medium thickness above cell surface in adhesion culture, cm |
ki
|
kinetic constant for the i-th transformation, s−1
|
ki’ = ki/Ccell
|
cell-specific kinetic constant for the i-th transformation, cm3/(s ncell) |
KM
|
Michaelis constant, M |
m |
number of experiments, |
n |
number of data points, |
p |
number of model parameters, |
-r |
metabolite disappearance rate, M/s |
Subscripts/Superscripts
|
a |
adsorption |
d |
desorption |
exp |
experimental |
i |
i-th metabolite |
j |
j-th data point |
k |
k-th experiment |
mod |
model-predicted |
os |
species other than MEGX produced by lidocaine metabolic transformation |
A |
adhesion culture |
B |
bioreactor culture |
L |
lidocaine |
M |
MEGX |
O2
|
dissolved oxygen |
0 |
initial value |
1 |
lidocaine metabolic transformation |
2 |
MEGX further metabolic transformation |
α |
reaction rate order |