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A Method for Determination and Simulation of Permeability and Diffusion in a 3D Tissue Model in a Membrane Insert System for Multi-well Plates
Published on: February 23, 2018
Mathematical model using non-uniform flow distribution for dynamic protein breakthrough with membrane adsorption
Steven Schneiderman1, Hemanthram Varadaraju, Lifeng Zhang
1Department of Chemical and Biological Engineering, South Dakota School of Mines and Technology, 501 East St. Joseph Street, Rapid City, SD 57701, USA.
Journal of Chromatography. A
|November 15, 2011
Summary
A new mathematical model accurately predicts protein breakthrough in membrane adsorption operations by accounting for non-uniform flow. This model enhances predictions for chromatography devices using simple input data.
Area of Science:
- Biochemical Engineering
- Separation Science
- Mathematical Modeling
Background:
- Membrane adsorption/chromatography is crucial for protein separation.
- Real-world devices exhibit non-uniform flow deviating from ideal plug flow.
- Accurate prediction of protein breakthrough is essential for process optimization.
Purpose of the Study:
- To develop and validate a mathematical model for predicting protein breakthrough in membrane adsorption.
- To incorporate non-uniform inlet boundary conditions to improve model accuracy.
- To assess the impact of model assumptions on predictive capabilities.
Main Methods:
- Developed a mathematical model with non-uniform inlet boundary conditions.
- Modeled flow distribution using polynomial functions.
- Compared model predictions with experimental breakthrough curves from commercial and novel membrane devices.
- Evaluated the effect of simplifying assumptions on model performance.
Main Results:
- The model accurately predicts non-uniform and unsymmetrical protein breakthrough profiles.
- Incorporating non-uniform flow significantly improves prediction accuracy compared to simpler models.
- The model requires only basic batch equilibrium, kinetic uptake, and membrane property data.
- Experimental data from various membrane types validated the model's predictive power.
Conclusions:
- The developed mathematical model offers a robust tool for predicting protein breakthrough in membrane adsorption/chromatography.
- Accounting for non-uniform flow is critical for accurate modeling of these separation processes.
- The model provides a practical approach for process design and optimization using readily available data.
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