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Zhao H, Lin X, Wang L, Yang Y, Zhu H, Li Z, Su Z, Yu R, Zhang S. Pore-blocking steric mass-action model for adsorption of bioparticles. J Chromatogr A 2024; 1726:464968. [PMID: 38723492 DOI: 10.1016/j.chroma.2024.464968] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/14/2024] [Revised: 05/01/2024] [Accepted: 05/04/2024] [Indexed: 05/23/2024]
Abstract
The steric mass-action (SMA) model has been widely reported to describe the adsorption of proteins in different types of chromatographic adsorbents. Here in the present work, a pore-blocking steric mass-action model (PB-SMA) was developed for the adsorption of large-size bioparticles, which usually exhibit the unique pore-blocking characteristic on the adsorbent and thus lead to a fraction of ligands in the deep channels physically inaccessible to bioparticles adsorption, instead of being shielded due to steric hindrance by adsorbed bioparticles. This unique phenomenon was taken into account by introducing an additional parameter, Lin, which is defined as the inaccessible ligand densities in the physically blocked pore area, into the PB-SMA model. This fraction of ligand densities (Lin) will be deducted from the total ligand (Lt) for model development, thus the steric factor (σ) in the proposed PB-SMA will reflect the steric shielding effect on binding sites by adsorbed bioparticles more accurately than the conventional SMA model, which assumes that all ligands on the adsorbent have the same accessibility to the bioparticles. Based on a series of model assumptions, a PB-SMA model was firstly developed for inactivated foot-and-mouth disease virus (iFMDV) adsorption on immobilized metal affinity chromatography (IMAC) adsorbents. Model parameters for static adsorption including equilibrium constant (K), characteristic number of binding sites (n), and steric factor (σ) were determined. Compared with those derived from the conventional SMA model, the σ values derived from the PB-SMA model were dozens of times smaller and much closer to the theoretical maximum number of ligands shielded by a single adsorbed iFMDV, indicating the modified model was more accurate for bioparticles adsorption. The applicability of the PB-SMA model was further validated by the adsorption of hepatitis B surface antigen virus-like particles (HBsAg VLPs) on an ion exchange adsorbent with reasonably improved accuracy. Thus, it is considered that the PB-SMA model would be more accurate in describing the adsorption of bioparticles on different types of chromatographic adsorbents.
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Affiliation(s)
- Hanying Zhao
- Key Laboratory of Drug-Targeting and Drug Delivery System of the Ministry of Education, West China School of Pharmacy, Sichuan University, Chengdu, 610041, China; State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Xuan Lin
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Liuyang Wang
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Yanli Yang
- Tecon Pharmaceutical Co., Ltd., Suzhou, 215000, China
| | - Hongyu Zhu
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China; Division of Molecular Science, Graduate School of Science and Technology, Gunma University, Kiryu, 376-8515, Japan
| | - Zhengjun Li
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Zhiguo Su
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China
| | - Rong Yu
- Key Laboratory of Drug-Targeting and Drug Delivery System of the Ministry of Education, West China School of Pharmacy, Sichuan University, Chengdu, 610041, China.
| | - Songping Zhang
- State Key Laboratory of Biochemical Engineering, Key Laboratory of Biopharmaceutical Preparation and Delivery (CAS), Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China.
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Carvalho BMA, Silva Júnior WF, Carvalho LM, Minim LA, Carvalho GGP. STERIC MASS ACTION MODEL FOR LACTOFERRIN ADSORPTION IN CRYOGEL WITH IMMOBILIZED COPPER IONS. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2016. [DOI: 10.1590/0104-6632.20160331s20140112] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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3
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Mirani MR, Rahimpour F. Thermodynamic modelling of hydrophobic interaction chromatography of biomolecules in the presence of salt. J Chromatogr A 2015; 1422:170-177. [DOI: 10.1016/j.chroma.2015.10.019] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/06/2015] [Revised: 10/08/2015] [Accepted: 10/08/2015] [Indexed: 10/22/2022]
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4
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Liang J, Fieg G, Keil FJ, Jakobtorweihen S. Adsorption of Proteins onto Ion-Exchange Chromatographic Media: A Molecular Dynamics Study. Ind Eng Chem Res 2012. [DOI: 10.1021/ie301407b] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Juan Liang
- Institute of Process and Plant Engineering and ‡Institute of
Chemical Reaction Engineering, Hamburg University of Technology, 21073 Hamburg, Germany
| | - Georg Fieg
- Institute of Process and Plant Engineering and ‡Institute of
Chemical Reaction Engineering, Hamburg University of Technology, 21073 Hamburg, Germany
| | - Frerich J. Keil
- Institute of Process and Plant Engineering and ‡Institute of
Chemical Reaction Engineering, Hamburg University of Technology, 21073 Hamburg, Germany
| | - Sven Jakobtorweihen
- Institute of Process and Plant Engineering and ‡Institute of
Chemical Reaction Engineering, Hamburg University of Technology, 21073 Hamburg, Germany
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5
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Liao QG, Li WH, Luo LG. Applicability of accelerated solvent extraction for synthetic colorants analysis in meat products with ultrahigh performance liquid chromatography–photodiode array detection. Anal Chim Acta 2012; 716:128-32. [DOI: 10.1016/j.aca.2011.12.033] [Citation(s) in RCA: 34] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2011] [Revised: 12/14/2011] [Accepted: 12/15/2011] [Indexed: 11/29/2022]
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6
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Lienqueo ME, Mahn A, Salgado JC, Shene C. Mathematical Modeling of Protein Chromatograms. Chem Eng Technol 2011. [DOI: 10.1002/ceat.201100282] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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7
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Fasoli E, Farinazzo A, Sun CJ, Kravchuk AV, Guerrier L, Fortis F, Boschetti E, Righetti PG. Interaction among proteins and peptide libraries in proteome analysis: pH involvement for a larger capture of species. J Proteomics 2010; 73:733-42. [DOI: 10.1016/j.jprot.2009.10.008] [Citation(s) in RCA: 48] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/10/2009] [Revised: 10/05/2009] [Accepted: 10/22/2009] [Indexed: 10/20/2022]
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8
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Wongchuphan R, Tey BT, Tan WS, Taip FS, Kamal SMM, Ling TC. Application of dye-ligands affinity adsorbent in capturing of rabbit immunoglobulin G. Biochem Eng J 2009. [DOI: 10.1016/j.bej.2009.04.003] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
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9
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Effect of ionic capacity on dynamic adsorption behavior of protein in ion-exchange electrochromatography. Sep Purif Technol 2009. [DOI: 10.1016/j.seppur.2009.04.002] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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10
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Sun Y, Liu FF, Shi QH. Approaches to high-performance preparative chromatography of proteins. ADVANCES IN BIOCHEMICAL ENGINEERING/BIOTECHNOLOGY 2009; 113:217-254. [PMID: 19373447 DOI: 10.1007/10_2008_32] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
Preparative liquid chromatography is widely used for the purification of chemical and biological substances. Different from high-performance liquid chromatography for the analysis of many different components at minimized sample loading, high-performance preparative chromatography is of much larger scale and should be of high resolution and high capacity at high operation speed and low to moderate pressure drop. There are various approaches to this end. For biochemical engineers, the traditional way is to model and optimize a purification process to make it exert its maximum capability. For high-performance separations, however, we need to improve chromatographic technology itself. We herein discuss four approaches in this review, mainly based on the recent studies in our group. The first is the development of high-performance matrices, because packing material is the central component of chromatography. Progress in the fabrication of superporous materials in both beaded and monolithic forms are reviewed. The second topic is the discovery and design of affinity ligands for proteins. In most chromatographic methods, proteins are separated based on their interactions with the ligands attached to the surface of porous media. A target-specific ligand can offer selective purification of desired proteins. Third, electrochromatography is discussed. An electric field applied to a chromatographic column can induce additional separation mechanisms besides chromatography, and result in electrokinetic transport of protein molecules and/or the fluid inside pores, thus leading to high-performance separations. Finally, expanded-bed adsorption is described for process integration to reduce separation steps and process time.
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Affiliation(s)
- Yan Sun
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin, 300072, China,
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11
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Zhang S, Sun Y. A Model for the Salt Effect on Adsorption Equilibrium of Basic Protein to Dye-Ligand Affinity Adsorbent. Biotechnol Prog 2008; 20:207-14. [PMID: 14763844 DOI: 10.1021/bp0300319] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
A model describing the salt effect on adsorption equilibrium of a basic protein, lysozyme, to Cibacron Blue 3GA-modified Sepharose CL-6B (CB-Sepharose) has been developed. In this model, it is assumed that the presence of salt causes a fraction of dye-ligand molecules to lodge to the surface of the agarose gel, resulting from the induced strong hydrophobic interaction between dye ligand and agarose matrix. The salt effect on the lodging of dye-ligand is expressed by the equilibrium between salt and dye-ligand. For the interactions between protein and vacant binding sites, stoichiometric equations based either on cation exchanges or on hydrophobic interactions are proposed since the CB dye can be regarded as a cation exchanger contributed by the sulfonate groups on it. Combining with the basic concept of steric mass-action theory for ion exchange, which considers both the multipoint nature and the macromolecular steric shielding of protein adsorption, an explicit isotherm for protein adsorption equilibrium on the dye-ligand adsorbent is formulated, involving salt concentration as a variable. Analysis of the model parameters has yielded better understanding of the mechanism of salt effects on adsorption of the basic protein. Moreover, the model predictions are in good agreement with the experimental data over a wide range of salt and ligand concentrations, indicating the predictive nature of the model.
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Affiliation(s)
- Songping Zhang
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, People's Republic of China
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12
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Vanková K, Antosová M, Polakovic M. Adsorption equilibrium of fructosyltransferase on a weak anion-exchange resin. J Chromatogr A 2007; 1162:56-61. [PMID: 17543316 DOI: 10.1016/j.chroma.2007.05.031] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/13/2006] [Revised: 05/07/2007] [Accepted: 05/08/2007] [Indexed: 11/21/2022]
Abstract
The adsorption equilibrium of a glycoprotein, fructosyltransferase from Aureobasidium pullulans, on an anion-exchange resin, Sepabeads FP-DA activated with 0.1M NaOH, was investigated. The adsorption isotherms were determined at 20 degrees C in a phosphate-citrate buffer with pH 6.0 using the static method. Sodium chloride was used to adjust the ionic strength in the range from 0.0215 to 0.1215 mol dm(-3) which provided conditions varying from a weak effect of salt concentration on protein binding to its strong suppression. The equilibrium data were very well fitted by means of the steric mass-action model when the ion-exchange capacity of 290 mmol dm(-3) was obtained from independent frontal column experiments. The model fit provided the protein characteristic charge equal to 1.9, equilibrium constant 0.326, and steric factor 1.095 x 10(5).
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Affiliation(s)
- Katarína Vanková
- Department of Chemical and Biochemical Engineering, Institute of Chemical and Environmental Engineering, Faculty of Chemical and Food Technology, Slovak University of Technology, Radlinského 9, 81237 Bratislava, Slovakia
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13
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Langford JF, Yao XXY, Maloney SF, Lenhoff AM. Chromatography of proteins on charge-variant ion exchangers and implications for optimizing protein uptake rates. J Chromatogr A 2007; 1163:190-202. [PMID: 17640661 PMCID: PMC2001243 DOI: 10.1016/j.chroma.2007.06.028] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/13/2007] [Revised: 06/11/2007] [Accepted: 06/18/2007] [Indexed: 11/24/2022]
Abstract
Intraparticle transport of proteins usually represents the principal resistance controlling their uptake in preparative separations. In ion-exchange chromatography two limiting models are commonly used to describe such uptake: pore diffusion, in which only free protein in the pore lumen contributes to transport, and homogeneous diffusion, in which the transport flux is determined by the gradient in the total protein concentration, free or adsorbed. Several studies have noted a transition from pore to homogeneous diffusion with increasing ionic strength in some systems, and here we investigate the mechanistic basis for this transition. The studies were performed on a set of custom-synthesized methacrylate-based strong cation exchangers differing in ligand density into which uptake of two proteins was examined using confocal microscopy and frontal loading experiments. We find that the transition in uptake mechanism occurs in all cases studied, and generally coincides with an optimum in the dynamic binding capacity at moderately high flow rates. The transition appears to occur when protein-surface attraction is weakened sufficiently, and this is correlated with the isocratic retention factor k' for the system of interest: the transition occurs in the vicinity of k' approximately 3000. This result, which may indicate that adsorption is sufficiently weak to allow the protein to diffuse along or near the surface, provides a predictive basis for optimizing preparative separations using only isocratic retention data.
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Affiliation(s)
| | | | | | - Abraham M. Lenhoff
- *Corresponding author. Tel.: +1 302 8318989; fax: +1 302 8314466. E-mail address: (A.M. Lenhoff)
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14
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Zhou XP, Su XL, Sun Y. Analysis of the Statistical Thermodynamic Model for Nonlinear Binary Protein Adsorption Equilibria. Biotechnol Prog 2007; 23:1118-23. [PMID: 17672478 DOI: 10.1002/bp070092x] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Abstract
The statistical thermodynamic (ST) model was used to study nonlinear binary protein adsorption equilibria on an anion exchanger. Single-component and binary protein adsorption isotherms of bovine hemoglobin (Hb) and bovine serum albumin (BSA) on DEAE Spherodex M were determined by batch adsorption experiments in 10 mM Tris-HCl buffer containing a specific NaCl concentration (0.05, 0.10, and 0.15 M) at pH 7.40. The ST model was found to depict the effect of ionic strength on the single-component equilibria well, with model parameters depending on ionic strength. Moreover, the ST model gave acceptable fitting to the binary adsorption data with the fitted single-component model parameters, leading to the estimation of the binary ST model parameter. The effects of ionic strength on the model parameters are reasonably interpreted by the electrostatic and thermodynamic theories. The effective charge of protein in adsorption phase can be separately calculated from the two categories of the model parameters, and the values obtained from the two methods are consistent. The results demonstrate the utility of the ST model for describing nonlinear binary protein adsorption equilibria.
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Affiliation(s)
- Xiao-Peng Zhou
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China
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15
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Liu Y, Dong XY, Sun Y. Effect of hexanol on the reversed micelles of Span 85 modified with Cibacron Blue F-3GA for protein solubilization. J Colloid Interface Sci 2006; 297:805-12. [PMID: 16330038 DOI: 10.1016/j.jcis.2005.11.012] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/08/2005] [Revised: 11/01/2005] [Accepted: 11/08/2005] [Indexed: 10/25/2022]
Abstract
Sorbitan trioleate (Span 85) modified with Cibacron Blue F-3GA (CB) was used as an affinity surfactant (CB-Span 85) to form affinity-based reversed micelles in n-hexane. It was found that the addition of hexanol to the reversed micellar system resulted in a significant increase in water content and hydrodynamic radius of the affinity-based reversed micelles. Moreover, the reversed micelles with hexanol revealed broader aggregation number distribution and larger average aggregation number than the reversed micelles without hexanol addition. This is considered to be due to the decreases in the micellar curvature and rigidity of the micellar interfacial layer and the increase in the micellar interfacial fluidity. Consequently, the solubilization capacity of lysozyme increased about 70% in the reversed micellar solution with 3 vol% hexanol. On the other hand, the capacity of BSA was only 30% increased under the same conditions due to its larger molecular size than lysozyme. Kinetic analysis revealed that the increase in the micellar interfacial fluidity in the presence of hexanol resulted in faster release of lysozyme from the micelles, thus leading to an increase of the overall volumetric mass transfer coefficient in the back extraction.
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Affiliation(s)
- Yang Liu
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, China
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16
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Liu Y, Dong XY, Sun Y. Equilibria and kinetics of protein transfer to and from affinity-based reverse micelles of Span 85 modified with Cibacron Blue F-3GA. Biochem Eng J 2006. [DOI: 10.1016/j.bej.2005.11.012] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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17
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Zhou XP, Li W, Shi QH, Sun Y. Analysis of mass transport models for protein adsorption to cation exchanger by visualization with confocal laser scanning microscopy. J Chromatogr A 2006; 1103:110-7. [PMID: 16313916 DOI: 10.1016/j.chroma.2005.11.006] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/31/2005] [Revised: 10/19/2005] [Accepted: 11/03/2005] [Indexed: 10/25/2022]
Abstract
The mass transfer of bovine serum albumin (BSA) to a cation exchanger, SP Sepharose FF, has been studied by finite batch adsorption experiments. The uptake curve was simulated with three mass transport models (i.e., effective pore diffusion model, surface diffusion model and Maxwell-Stefan model) incorporating the particle size distribution of the adsorbent particles. All the three models can simulate the uptake curves reasonably well. However, how well these models could simulate the real concentration profile within the adsorbent particle cannot be verified by the fitness of the models to the uptake curve. Thus, confocal laser scanning microscopy (CLSM) was used to visualize protein uptake to the porous adsorbent particles during the batch experiments. Using a fluorescent dye-labeled bovine serum albumin (BSA) for the dynamic adsorption experiments, the radial concentration profiles of the labeled BSA molecules into individual adsorbent particles at different times were obtained from the CLSM images. The protein distribution profiles within various particle diameters at different time were compared with the radial protein distributions predicted from the models. It reveals that surface diffusion model describes the intraparticle protein concentration profiles better than the other two models.
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Affiliation(s)
- Xiao-Peng Zhou
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, PR China
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18
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Computer-aided model analysis for ionic strength-dependent effective charge of protein in ion-exchange chromatography. Biochem Eng J 2005. [DOI: 10.1016/j.bej.2005.04.021] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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19
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Li W, Zhang S, Sun Y. Modeling of the linear-gradient dye-ligand affinity chromatography with a binary adsorption isotherm. Biochem Eng J 2004. [DOI: 10.1016/j.bej.2004.08.003] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Abstract
A two-state protein model is proposed to describe the salt effects on protein adsorption equilibrium on hydrophobic media. This model assumes that protein molecules exist in two equilibrium states in a salt solution, that is, hydrated and dehydrated states, and only the dehydrated-state protein can bind to hydrophobic ligands. In terms of the two-state protein hypothesis and the steric mass-action theory, protein adsorption equilibrium on hydrophobic media is formulated by a five-parameter equation. The model is demonstrated with the adsorption of bovine serum albumin to Phenyl Sepharose gels as a model system. The effects of salt type (sodium chloride, sodium sulfate and ammonium sulfate) on the model parameters are discussed. Then, the model formulism is simplified in terms of the small magnitude of the protein dehydration equilibrium constant in the model. This simplification has returned the model derived on the basis of the two-state protein hypothesis to its original mechanism of salt effects on the hydrophobic adsorption of protein. This simplified model also creates satisfactory prediction of protein adsorption isotherms.
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Affiliation(s)
- Jie Chen
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, People's Republic of China
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Zhang S, Sun Y. A Predictive Model for Salt Effects on the Dye-Ligand Affinity Adsorption Equilibrium of Protein. Ind Eng Chem Res 2003. [DOI: 10.1021/ie020542k] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Songping Zhang
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, People's Republic of China
| | - Yan Sun
- Department of Biochemical Engineering, School of Chemical Engineering and Technology, Tianjin University, Tianjin 300072, People's Republic of China
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