title: Mathematical model using non-uniform flow distribution for dynamic protein breakthrough with membrane adsorption media.
abstract: A mathematical model has been investigated to predict protein breakthrough during membrane adsorption/chromatography operations. The new model incorporates a non-uniform boundary condition at the column inlet to help describe the deviation from plug flow within real membrane adsorption devices. The model provides estimated breakthrough profiles of a binding protein while explicitly accounting for non-uniform flow at the inlet of the separation operation by modeling the flow distribution by a polynomial. We have explored experimental breakthrough curves produced using commercial membrane adsorption devices, as well as novel adsorption media of nanolayered nanofiber membranes, and compare them to model predictions. Further, the impact of using various simplifying assumptions is considered, which can have a dramatic effect on the accuracy and predictive ability of the proposed models. The new model, using only simple batch equilibrium and kinetic uptake rate data, along with membrane properties, is able to accurately predict the non-uniform and unsymmetrical shape for protein breakthrough during operation of membrane adsorption/chromatography devices.
authors.affiliation: Department of Chemical and Biological Engineering, South Dakota School of Mines and Technology, 501 East St. Joseph Street, Rapid City, SD 57701, USA.
authors.forename: Steven
authors.initials: S
authors.lastname: Schneiderman
authors.forename: Hemanthram
authors.initials: H
authors.lastname: Varadaraju
authors.forename: Lifeng
authors.initials: L
authors.lastname: Zhang
authors.forename: Hao
authors.initials: H
authors.lastname: Fong
authors.forename: Todd J
authors.initials: TJ
authors.lastname: Menkhaus
mesh_terms: D000327:Adsorption; D002853:Chromatography, Liquid / Q000295:instrumentation*; D008567:Membranes, Artificial; D008956:Models, Chemical; D011506:Proteins / Q000737:chemistry* / Q000378:metabolism
chemical_list: D008567:Membranes, Artificial; D011506:Proteins