Versatility of mixed-function adsorbents in biospecific protein desorption: Accidental affinity and an improved purification of aspartate transcarbamoylase from wheat germ

Under appropriate experimental conditions (usually but not invariably including low ionic strength) wheat germ aspartate transcarbamoylase can be specifically desorbed by the substrate, carbamoyl phosphate, from hydroxyapatite, from N-(3-carboxypropionyl)aminooctyl-Sepharose, from 10-carboxydecylamino-Sepharose, from Cibacron Blue F3GA-Sepharose, and from Coomassie Blue R250-Sepharose. Experimental evidence suggests that (a) the enzyme is adsorbed at heterogeneous sites on each column, only some of which are susceptible to substrate-specific desorption; (b) in none of these cases is the initial adsorption essentially biospecific, i.e., these are not cases of classical affinity chromatography; (c) in the case of 10-carboxydecylamino-Sepharose, and therefore presumably also in the other cases, the desorption is biospecific, i.e., involves the formation of the catalytically significant enzyme-carbamoyl phosphate complex. Substrate-specific desorption in these cases appears to derive from “accidental” affinity between, on the one hand, clusters of active (ionic, hydrophobic, aromatic, etc.) groups on the protein and, on the other, complementary clusters on the adsorbent, some of these interactions being perturbed when the ligands binds to the protein. Biospecific desorption from 10-carboxydecylamino-Sepharose has been incorporated as the sole chromatographic step in a new, 8000-fold purification of the enzyme. It is suggested that biospecific desorption from essentially nonbiospecific adsorbents could explain some published purifications currently described as “affinity chromatography.”     

Affinity chromatography of the uterine estradiol receptor on estradiol-PAB-cellulose: an artefact.

Estradiol-PAB-cellulose, an easily prepared adsorbent, has been proposed to purify the uterine estradiol receptor according to the principle of biospecific affinity chromatography. It apparently removes all hormone binding sites when cytosol preparations are incubated with it. A systematic study of this adsorbent was undertaken, including the synthesis and testing of the radioactive material. Two main results were obtained: 1) Estradiol-PAB-cellulose is heavily contaminated with free ligand and releases it during the normal chromatographic conditions. 2) Estradiol spacer derivatives (hydroxyethylphenyl-diazo (2 or 4)-estradiol) have a very low affinity for the receptor (Ki = 10 muM). The conclusion is that estradiol-PAB-cellulose is unsuitable for affinity chromatography of estradiol receptor.     

Co-operative binding interactions in affinity chromatography: Theoretical considerations

A theoretical relationship has been developed to allow the effect of free ligand concentration on the capacity of an affinity Chromatography matrix to be determined where the protein adsorbed shows co-operative binding. Computer simulations using literature values for association constants show that under optimal conditions resin capacity can be increased significantly in the presence of a small but finite concentration of free ligand. The model also allows prediction of the soluble ligand concentration required for biospecific elution. The results obtained suggest the possibility of a new elution technique, "reverse biospecific elution," that reduces the amount of free ligand required to effect elution.     

Biospecific adsorption of lysozyme onto monoclonal antibody ligand immobilized on nonporous silica particles

It is very important to understand the equilibrium and dynamic characteristics of biospecific adsorption (affinity chromatography) for both scientific and application purposes. Experimental equilibrium and dynamic column data are presented on the adsorption of lysozyme onto antibody immobilized on nonporous silica particles. The Langmuir model is found to represent the equilibrium experimental data satisfactorily, and the equilibrium association constants and heats of adsorption have been estimated for two systems with different ligand densities. The effects of nonspecific interactions are more pronounced in the system with low-density ligand. The dynamic interaction kinetic parameters are estimated by matching the predictions of a fixed-bed model with the experimental breakthrough curves. The agreement between theory and experiment is good for the initial phases of breakthrough, where the mechanism of biospecific adsorption is dominant. In the later phase (saturation neighborhood) of breakthrough, the effects of nonspecific interactions appear to be greater in the low-density ligand system. The kinetics of the nonspecific interactions were estimated from the data of the later phase of breakthrough and were found to be considerably slower than those attributed to biospecific adsorption.     

Affinity chromatographic sorting of carboxypeptidase a and its chemically modified derivatives

Carboxypeptidase A and derivatives obtained by chemical modification of various active center components were subjected to affinity chromatography on a p-aminobenzylsuccinic acid-Sepharose 4B conjugate. Tetardation of the enzyme on the column was dependent on the residue modified when elution was carried out with 0.3 m NaCl at pH 7.0. Both the functional zinc atom and the active site residue Glu-270 are essential for effective adsorption while alteration of residues involved in hydrophobic interaction with substrate or in recognition of its terminal carboxyl group decreased retention on the affinity matrix. Elution of native carboxypeptidase with competing soluble benzylsuccinic acid indicated that only active center binding of the immobilized inhibitor accounts for retardation of the enzyme on the column. Hence, affinity chromatography on this biospecific adsorbent using mild elution conditions (which do not distort protein structure) provides an excellent tool for the rapid isolation and purification of active center modified enzyme even from a complex mixture of reaction products.     

Biospecific adsorption in fixed and periodic countercurrent beds

A mathematical model that describes the adsorption and wash stages of biospecific adsorption (affinity chromatography) in a packed column is presented. The model expressions account for film and pre diffusion mass transfer as well as for different mechanisms of interaction between the adsorbate(s) and the ligand. The model equations may be applicable to single and multi-component biospecific adsorption systems involving both monovalent and multivalent adsorbates.The results obtained from model simulations show that the breakthrough time of the adsorbate is significantly influenced by the rate of the interaction step between the adsorbate and the ligand. The results indicate that when short beds are employed, then the choice of ligand with respect to its rate of interaction with the adsorbate may be of paramount importance. In certain systems involving bivalent adsorbates, the adsorbate may be displaced from the one-site complex, reenter the flowing fluid stream, and increase the effluent adsorbate concentration above its inlet value. It is also shown that when a single column is divided into two beds operating in a periodic counter current mode, the ligand utilization can be almost four times higher than that obtained in a column of the same length operating in the fixed bed mode.The studies on the wash stage indicate that the reduction of the concentration of the contaminant to a specified low level may be accomplished for certain systems in a shorter time, if the direction of flow in the wash stage is opposite to that used in the adsorption stage. However, a larger amount of product will be lost, in general, when the direction of flow of the washing medium is opposite to that employed during the adsorption stage.     

Optimizing dye-ligand density with molecular analysis for affinity chromatography of rabbit muscle L-lactate dehydrogenase

Ligand density is an important factor in determining the binding capacity and separation efficiency for affinity chromatography. A molecular analysis method based on the three-dimensional structure of protein and protein-ligand interactions was introduced to optimize the dye-ligand density for target protein separation. Expanded-bed adsorption (EBA) of L-lactate dehydrogenase (LDH) from rabbit muscle crude extract with Procion Red HE-3B as the dye-ligand was used as the model. After the analysis of LDH three-dimensional molecular structure and dye-protein interaction modes, the rational dye-ligand distance was predicted at about 20 A for efficiently binding LDH. A series of dye-ligand adsorbents with different ligand densities were prepared, and the isotherm adsorption equilibria of LDH were measured. High adsorption capacity of LDH was achieved at about 1600 U/mL adsorbent. Packed-bed chromatography was performed, and the elution effects were investigated. Finally, an EBA process was achieved to capture the LDH directly from rabbit muscle crude extract. The method established in the present work could be expanded to guide the screening of ligand density for other affinity chromatographic processes.     

A quantitative study of the biospecific desorption of rat liver (M4) lactate dehydrogenase from 10-carboxydecylamino-Sepharose. Determination of the number of ligand-binding sites blocked on adsorption.

1. The theory of Nichol, Ogston, Winzor & Sawyer [(1974) Biochem. J. 143, 435-443] for quantitative affinity chromatography, when adapted for use with a non-specific column from which a multi-site protein can be specifically desorbed by its free ligand, permits determination of the concentration of adsorption sites on the column, their adsorptive affinity (as an association constant) and either the intrinsic (site) constant for ligand-binding to the protein or an 'occlusion coefficient' (defined as the number of ligand-binding sites blocked on adsorption), one of which must be known. 2. The theory has been applied to the NADH-specific desorption of rat liver M4 lactate dehydrogenase from 10-carboxydecylamino-Sepharose. It suggests that most of the enzyme molecules are adsorbed with at least two NADH-binding sites blocked, indicating an extensive adsorption interface in relation to the protein surface. Other chromatographic parameters were also determined for the system. 3. Among topics discussed are (a) factors affecting the experimentally determined value for the number of blocked sites, (b) the nature of the adsorption sites on the column and (c) the similarity of the analysis to that for determining Hill coefficients, and other possible applications.     

Biospecific adsorption chromatography of phospholipase A2 from different sources

Methods of biospecific adsorption chromatography of phospholipase A2 obtained from porcine pancreas and Naja naja oxiana, Vipera ursini renardi, Vespa orientalis venoms were developed. Granulated polyamide with covalently linked phosphatidylethanolamine were used as an affinity adsorbent. Chemical inertness of linked phosphatidylethanolamine to the hydrolytic action of phospholipase A2 and its high affinity for biospecific complexes are shown. Forms of phospholipase A2 different in their affinity for an immobilized substrate was isolated by biospecific adsorption chromatography. The role of hydrophobic and electrostatic interactions in formation of enzyme-ligand complexes was studied.     

Affinity chromatography of amine oxidase from Aspergillus niger.

Omega-Aminohexyl-Sepharose 4B served as an excellent biospecific adsorbent for affinity chromatography of amine oxidase (monoamine:O2 oxidoreductase (deaminating), EC 1.4.3.4) from Aspergillus niger. The enzyme was completely adsorbed on this affinity resin when applied to a column in 0.1 M potassium phosphate buffer (pH 7.2). Although a small part of the enzyme was retained on the column through ionic interaction and eluted with 1.0 M potassium phosphate buffer (pH 7.2), most of the enzyme adsorbed was eluted with 0.5 M potassium phosphate buffer (pH 7.2) containing 10 mM butylamine. Essentially no retention of the enzyme on a column of epsilon-aminopentyl-Sepharose or delta-aminobutyl-Sepharose occurred under the same conditions, indicating that an appropriate length (more than approx. 12 A) of a hydrocarbon extension between the agarose matrix and the terminal amino group would be necessary for efficient adsorption of amine oxidase. The modification of the enzyme with 3-methyl-2-benzothiazolinone hydrazone (carbonyl inhibitor) or dithionite (reducing agent) resulted in loss of the ability to bind to omega-aminohexyl-Sepharose. It was also demonstrated that the affinity chromatography on omega-aminohexyl-Sepharose can be used as a powerful means of purifying this enzyme from crude extracts of Aspergillus niger. All of the three adsorbents were effective as a substrate in the amine oxidase reaction, but their substrate activities were as low as the corresponding free diamines.     

Preparation of a new thermo-responsive adsorbent with maltose as a ligand and its application to affinity precipitation

A thermo-responsive polymer on which maltose was covalently immobilized as an affinity ligand was newly synthesized for purification of thermolabile proteins from the crude solution by affinity precipitation. Among the thermo-responsive polymers synthesized as carriers for adsorbent, poly(N-acryloylpiperidine)-cysteamine (pAP) has a lower critical solution temperature (LCST) of around 4 degrees C, at which its solubility exhibits a sharp change. Adsorbent for affinity precipitation was prepared by combining pAP with maltose using trimethylamine-borane as a reducing reagent. This adsorbent (pAPM) obtained showed a good solubility response: pAPM in the basal buffer (pH 7.0) became soluble below 4 degrees C and was completely insoluble above 8 degrees C. The affinity precipitation method using pAPM consisted of the following four steps: adsorption at 4 degrees C, precipitation of the complex at 10 degrees C, desorption by adding the desorption reagent at 4 degrees C, and recovery of a target protein at 10 degrees C. In the affinity precipitation of Con A from the crude extract of jack bean meal, 82% of Con A added was recovered with 80% purity by addition of 0.2 M methyl-alpha-D-mannopyranoside as a desorption reagent. In the repeated purification of Con A from the crude extract, pAPM could be satisfactorily reused without decrease in the affinity performance. Moreover, when pAPM was used for the purification of thermolabile alpha-glucosidase from the cell-free extract of Saccharomyces cerevisiae, 68% of total activity added was recovered and the specific activity per amount of protein of the purified solution was enhanced 206-fold higher than that of the cell-free extract without thermal deactivation of the enzyme.     

Examination of protein adsorption in fluidized bed and packed bed columns at different temperatures using frontal chromatographic methods

The influences of various experimental parameters on the dynamic adsorption capacity (DAC) and the dynamic adsorption rate (DAR) of a biomimetic affinity silica-based adsorbent in fluidized and packed bed columns operated under plug flow conditions and at different temperatures have been investigated with different inlet concentrations of hen egg white lysozyme (HEWL) and human serum albumin (HSA). The DACs as well as the DARs of both the fluidized and packed beds were examined at 10% saturation (i.e., at the QB value) and the experimental data compared with the corresponding data obtained from batch equilibrium adsorption procedures. Parameters examined included the fluid superficial velocity and protein concentration and their effect on the binding capacity and column efficiency. Consistent with various results reported from this and other laboratories on the behavior of biospecific affinity adsorbents derived from porous silica and zirconia particles, adsorbents prepared from Fractosil 1000 were found to exhibit appropriate rheological characteristics in fluidized bed systems under the experimental conditions. Moreover, changes in temperature resulted in a more significant effect on the breakthrough profiles of HSA compared to HEWL with the immobilized Cibacron Blue F3G-A with Fractosil 1000 adsorbent. This result suggests that temperature effects can possibly be employed profitably in some processes as part of a strategy to enhance column performance with fluidized bed systems for selective recovery of target proteins. At relatively low superficial velocities of the feed, the DARs with HEWL and HSA were similar for both the fluidized and packed bed column systems, whereas, at high superficial velocities, the DARs for these proteins were larger with the packed bed columns.     

A kinetic locking-on strategy for bioaffinity purification: further studies with alcohol dehydrogenase

The kinetic locking-on strategy improves the selectivity of protein purification procedures based on immobilized cofactor derivatives through use of enzyme-specific substrate analogues in irrigants to promote biospecific adsorption. This paper describes the development and application of this strategy to the one-chromatographic step affinity purification of NAD(P)+-dependent alcohol dehydrogenases using 8'-azo-linked immobilized NAD(P)+, S6-linked and N6-linked immobilized NAD+, and N6-linked immobilized NADP+ derivatives. These studies were carried out using alcohol dehydrogenases from Saccharomyces cerevisiae (YADH, EC 1.1.1.1), equine liver (HLADH, EC 1.1.1.1), and Thermoanaerobium brockii (TBADH, EC 1.1.1.2). The results reveal that the factors which require careful consideration before development of a truly biospecific system based on the locking-on strategy include: (i) the stability of the immobilized cofactor derivative; (ii) the spacer-arm composition of the affinity derivative; (iii) the accessible immobilized cofactor concentration; (iv) the soluble locking-on ligand concentration; (v) the dissociation constant of locking-on ligand, and (vi) the identification and elimination of nonbiospecific interference. The S6-linked immobilized NAD+ derivative (synthesized with a hydrophilic spacer arm) proved to be the most suitable of the affinity adsorbents investigated in the present study for use with the locking-on strategy. This conclusion was based primarily on the observations that this affinity adsorbent was stable, retained cofactor activity with the "test" enzymes under study, and was not prone to nonbiospecific interactions. Using this immobilized derivative in conjunction with the locking-on strategy, alcohol dehydrogenase from Saccharomyces cerevisiae was purified to electrophoretic homogeneity in a single affinity chromatographic step.     

Ligand binding characteristics and aggregation behavior of purified cow's milk folate binding protein depends on the presence of amphiphatic substances including cholesterol,phospholipids, and synthetic detergents

Folate binding protein was purified from cow's milk by a combination of cation exchange chromatography and methotrexate-AH-sepharose affinity chromatography. Dilution of the preparation to concentrations of protein less than 10 nM resulted in drastic changes of radioligand (folate) binding characteristics, i.e., a decrease in binding affinity with a change from upward to downward convex Scatchard plots and increased ligand dissociation combined with appearance of weak-affinity aggregated forms of the binding protein on gel filtration. These findings, consistent with a model predicting dimerization between unliganded and liganded monomers, were reversed in the presence of material eluted from the affinity column after adsorption of the protein(cofactor) or cholesterol, phospholipids, and synthetic detergents. The latter amphiphatic substances form micelles and lipid bilayers which could separate hydrophobic unliganded monomers from hydrophilic liganded monomers in the surrounding aqueous medium and thereby prevent association between these monomeric forms prevailing at low concentrations of the protein. Our data have some bearings on studies which show that cholesterol and phospholipids are necessary for the clustering of folate receptors in the cell membrane; a process required for optimum receptor function and internalization of folate.     

Restricted diffusion of molecules in porous affinity chromatography adsorbents.

A restricted diffusion model is constructed and solved in order to study the permeability of large adsorbate molecules in the pores of affinity chromatography media, when the adsorbate molecules are adsorbed onto immobilized ligands. The combined effects of steric hindrance at the entrance to the pores and frictional resistance within the pores, as well as the effects of pore size distribution, pore connectivity of the adsorbent, molecular size of adsorbate and ligand, and the fractional saturation of adsorption sites (ligands), are considered. Affinity adsorbents with dilute and high ligand concentrations are examined, and the permeability of the adsorbate in porous networks of connectivity nT is studied by means of effective medium approximation (EMA) numerical solutions. As expected, the permeability of the adsorbate decreases as the size of the adsorbate and/or ligand molecule increases. The permeability also decreases when the fractional saturation of the ligands increases, as well as when the pore connectivity of the network decreases. The dependence of the permeability on the pore connectivity tends to be less marked in adsorbents with concentrated ligand than in porous media with dilute ligand concentration. The conditions are also presented for which the percolation threshold is attained in a number of different systems. The restricted diffusion model and results of this work may be of importance in studies involving the modeling, prediction of the dynamic behavior, design, and control of affinity chromatography (biospecific adsorption) systems employing porous adsorbents. The theoretical results may also have important implications in the selection of a ligand as well as in the selection and construction of an affinity porous matrix, so that the adsorbate of interest can be efficiently separated from a given solution. Furthermore, with appropriate modifications this restricted diffusion model may be used in studies involving the immobilization of ligands or enzymes in porous solids.     

Direct observation of intraparticle equilibration and the rate-limiting step in adsorption of proteins in chromatographic adsorbents with confocal laser scanning microscopy

The adsorption of different proteins in a single biospecific and hydrophobic adsorbent particle for preparative protein chromatography has been observed directly by confocal laser scanning microscopy as a function of time at a constant bulk concentration c(b). The bulk concentration was in the non-linear part of the adsorption isotherm. At all times the concentration of free protein at the particle surface was almost equal to the bulk content indicating that external mass transfer resistance is not rate limiting for the adsorption under these conditions. Inside the particles a distinct maximum in adsorbed and free protein concentration that moved inside to a distance of approximately 0.2 R (R particle radius) from the particle surface, was observed. This is due to a decreasing solid-phase density and adsorptive capacity in the particle between 0.8 R and R indicating that the fraction of macropores (or void space) is larger in the outer than in the inner part of the adsorbent particles. By increasing the bulk concentration by a factor of 10 the equilibration time was reduced by about the same magnitude. This is in agreement with the concentration dependence of the effective pore diffusion coefficient D(p,eff)=D(p)/[epsilon(p)[1+nK/(K +c)(2)]] derived from the mass conservation relations describing the adsorption process. The time dependence protein adsorption up to approximately 90% of the equilibration value q* could be described by a bilinear free driving force model. The rapid equilibration in the outer part of the particle with a half-life time of approximately 100 s in the studied systems accounted for 0.3-0.4 q*. The slower equilibration with a up to ten times longer half-life time, was the adsorption in the inner part of the particle that outside 0.5 R accounts for 0.5-0.6 q*. These data were compared with literature data for batch adsorption of proteins in biospecific, hydrophobic and ion-exchange adsorbents. They could also be described by a bilinear free driving force model, with about the same quantitative results as obtained for similar conditions in the single particle experiments. The static adsorption parameters, maximum binding site concentration n, and dissociation constant for the protein binding to a binding site K, were determined from Scatchard plots. For the same protein-adsorbent system the plots changed from linear to non-linear with increasing n. This change occurred when the average distance between adjacent binding sites become of the same order of magnitude as the size of the binding site or adsorbed protein. This causes a shielding of free binding sites increasing with n and the concentration of adsorbed protein, yielding a concentration dependence in K. These results show that for a high throughput and rapid adsorption in preparative chromatography, the adsorption step should be carried out in the non-linear part of the adsorption isotherm with concentrations up to c(b) where q*/c(b)>/=10 to obtain high protein recoveries. To avoid tailing due to the flow of adsorbed proteins in the inner part of the particles further into the particles at the start of the desorption, and to speed up desorption rates, protein adsorption in the particle within 0.5 R from the particle center should be avoided. This requires the further development of suitable pellicular particles for preparative protein chromatography that meet this requirement.     

Recovery of Acinetobacter radioresistens lipase by hydrophobic adsorption to n-hexadecane coated on nonwoven fabric

A simple and clean adsorption/desorption process was proposed for recovering Acinetobacter radioresistens lipase from fermentation broth. The adsorbent used was n-hexadecane coated on a hydrophobic nonwoven fabric (NWF). n-Hexadecane has a melting point of 16-18 degrees C, and its affinity for lipase decreases markedly from liquid to solid state. Accordingly, performing the adsorption and desorption above and below, respectively, the melting point would need no extraneous materials for separation. The adsorption isotherms at various temperatures were found to follow the Langmuir model. Simulation of the batch adsorption/desorption process showed that there exists an optimal amount of adsorbent for both concentration factor and enzyme recovery; the process is restrained by equilibrium. The performance of column adsorption/desorption could also be simulated using the adsorption isotherm, and it was shown that the concentration factor was proportional to the amount of adsorbent used. The benefits of this process include easy preparation of adsorbent, low operational cost, no extraneous materials needed, negligible enzyme denaturation, high efficiency, and simple process simulation.     

Isoelectric focusing of interacting systems. IV. interaction of macromolecules with each other and with ligands

The theoretical isoelectric focusing behavior for rapidly reversible, bimolecular complexing between two macromolecules depends upon the relative value of the isoelectric point of the complex. When it is intermediate in value, the transient patterns exhibit three peaks. As equilibrium is approached the central peak of complex disappears leaving two reactant peaks. When the isoelectric point is acidic or alkaline to both reactants, the equilibrium pattern also shows two peaks; but in this case only one is pure reactant, the other being a reaction zone. The two cases can be distinguished by varying the relative amounts of reactants. Transient patterns for ligand-binding exhibit a peak of unliganded protein and a reaction zone. As the charged ligand is driven out of the focusing column the reaction zone disappears, so that the equilibrium pattern shows only a peak of unliganded protein. In general, the isoelectric point of the complex cannot be determined from the transient patterns.     

In vitro modeling of cell-scaffold interaction

A simple method of controlling the efficiency of surface ligand-cell receptor interaction has been developed in the course of modeling the specific adhesion of cells on a support with their subsequent proliferation and bone tissue formation, using affinity chromatography on macroporous monolithic sorbents. The biospecific peptide GRGDSP played the role of an active ligand on the support, whereas cells were simulated by polymeric (polystyrene) microparticles with the peptide EDYPVDIYYLMDLSYSMKDD immobilized on their surface. The latter peptide is part of the active site of the integrin molecule responsible for binding the RGD sequence. Thus, the monolithic ultrashort column (CIM® disk) represented a simplified model of the support (structural scaffold) possessing biospecific properties. The parameters of the interaction of affinity partners were quantitatively estimated by frontal analysis involving the construction of adsorption isotherms, followed by their linearization and mathematical processing. The data obtained indicate a high specificity of biological pairing, which is supported by the results of cell culture experiments.     

Interactions in affinity partition studied using fluorescence spectroscopy.

Fluorescence titration has been used to determine the binding constant and number of binding sites for the textile triazine dye Procion Yellow HE-3G to lactate dehydrogenase from rabbit muscle (E.C. 1.1.1.27). Triazine dye was either free in solution or attached to one of the polymer carriers, polyethylene glycol or dextran. Titrations were performed in solutions of buffer, dextran, and polyethylene glycol. Aqueous two-phase systems composed of polyethylene glycol and dextran were prepared and the binding constant and number of binding sites for ligand polyethylene glycol-Procion Yellow to lactate dehydrogenase were determined in both upper and lower phases of these systems. Affinity partition of lactate dehydrogenase in a PEG-dextran system was also performed using PEG-Procion Yellow as ligand, and partition coefficients of lactate dehydrogenase showed good agreement with theoretical partition coefficients calculated from the binding constant and number of binding sites obtained from fluorescence titration. The advantage of using fluorescence titration to determine affinity of a polymer ligand for a protein is that measurement of binding strength can be made in the actual environment encountered by protein-ligand complex during the purification process.