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. 2021 Jul 23;8(8):104. doi: 10.3390/bioengineering8080104
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
Da=kO2 Ccell hKM,O2 DO2 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