Abstract
Breakthrough performance of linear-DNA adsorption on ion-exchange membrane columns was theoretically and experimentally investigated using batch and fixed-bed systems. System dispersion curves showed the absence of flow non-idealities in the experimental arrangement. Breakthrough curves were not significantly affected by flow-rate or inlet solution concentration. In the theoretical analysis a model was integrated by the serial coupling of the membrane transport model and the system dispersion model. A transport model that considers finite kinetic rate and column dispersed flow was used in the study. A simplex optimization routine coupled to the solution of the partial differential model equations was employed to estimate the maximum adsorption capacity constant, the equilibrium desorption constant and the forward interaction rate-constant, which are the parameters of the membrane transport model. Through this approach a good prediction of the adsorption phenomena is obtained for inlet concentrations and flow rates greater than 0.2 mg/ml and 0.16 ml/min.
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Abbreviations
- A :
-
membrane column cross-sectional area (cm2)
- c :
-
DNA concentration in the bulk phase (mg/ml)
- c o :
-
DNA concentration in the bulk phase at column inlet (mg/ml)
- C exp i :
-
experimental values of the DNA dimensionless concentration at time t
- c out :
-
CSTR effluent DNA concentration (mg/ml)
- C simi :
-
simulated values of the DNA dimensionless concentration at time t
- d m :
-
membrane diameter (cm)
- d p :
-
average pore diameter (cm)
- D ax :
-
axial dispersion coefficient (cm2/s)
- F :
-
volumetric flow-rate (ml/min)
- k 1 :
-
forward adsorption rate constant (ml/mg s)
- k −1 :
-
reverse adsorption rate constant (1/s)
- K :
-
number of parameters to be estimated
- K d :
-
dissociation constant (mg/ml)
- L :
-
length of membrane column (μm)
- L m :
-
membrane thickness (μm)
- n :
-
number of data points in the experiment
- q :
-
average protein concentration (mg/ml)
- q m :
-
maximum binding capacity of the membrane, mg/ml based in bed volume
- t :
-
time (s)
- \(\bar{t}\) :
-
residence time in the chromatographic system (min)
- V :
-
column volume (cm3)
- V ext :
-
external volume (cm3)
- V sys :
-
system volume (cm3)
- V CSTR :
-
CSTR volume (cm3)
- V PFR :
-
PFR volume (cm3)
- z :
-
axial distance along the membrane column (cm)
- ɛ:
-
void fraction of the fixed bed
- υ :
-
interstitial velocity (cm/s)
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Acknowledgments
The authors gratefully acknowledge support of this work by the Consejo Nacional de Ciencia y Tecnología de México under grant U39963-Z, CINVESTAV-IPN and the Universidad de Sonora.
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Montesinos-Cisneros, R.M., Ortega, J., Guzmán, R. et al. Breakthrough performance of linear-DNA on ion-exchange membrane columns. Bioprocess Biosyst Eng 29, 91–98 (2006). https://doi.org/10.1007/s00449-006-0055-2
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DOI: https://doi.org/10.1007/s00449-006-0055-2