Correlation for the partition behavior of proteins in aqueous two-phase systems: effect of surface hydrophobicity and charge

Correlations to describe the effect of surface hydrophobicity and charge of proteins with their partition coefficient in aqueous two-phase systems were investigated. Polyethylene glycol (PEG) 4000/phosphate, sulfate, citrate, and dextran systems in the presence of low (0.6% w/w) and high (8.8% w/w) levels of NaCl were selected for a systematic study of 12 proteins. The surface hydrophobicity of the proteins was measured by ammonium sulfate precipitation as the inverse of their solubility. The hydrophobicity values measured correlated well with the partition coefficients, K, obtained in the PEG/salt systems at high concentration of NaCl (r = 0.92-0.93). In PEG/citrate systems the partition coefficient correlated well with protein hydrophobicity at low and high concentrations of NaCl (r = 0.81 and 0.93, respectively). The PEG/citrate system also had a higher hydrophobic resolution than other systems to exploit differences in the protein's hydrophobicity. The surface charge and charge density of the proteins was determined over a range of pH (3-9) by electrophoretic titration curves; PEG/salt systems did not discriminate well between proteins of different charge or charge density. In the absence of NaCl, K decreased slightly with increased positive charge. At high NaCl concentration, K increased as a function of positive charge. This suggested that the PEG-rich top phase became more negative as the concentration of NaCl in the systems increased and, therefore, attracted the positively charged proteins. The effect of charge was more important in PEG/dextran systems at low concentrations of NaCl. In the PEG/dextran systems at lower concentration of NaCl, molecular weight appeared to be the prime determinant of partition, whereas no clear effect of molecular weight could be found in PEG/salt systems.     

Use of chemically modified proteins to study the effect of a single protein property on partitioning in aqueous two-phase systems: Effect of surface charge

A series of charge-modified thaumatins with different values of surface charge were partitioned in aqueous two-phase systems (ATPS) to study the effect of surface charge as a single property on partitioning. Electrophoretic mobility of the proteins in titration curves was used as a measure of surface charge. Four modified proteins derived from thaumatin with the following values of isoelectric point: 8.70, 8.15, 5.60, and 4.50 were used for partitioning. The resolution of the systems in terms of protein surface charge was calculated. Partitioning of modified thaumatins in PEG 4000/dextran systems with phosphate buffer, Tris buffer, NaCl, KCl, and sulfate salts was carried out. Among the sulfate salts tested, the addition of 50 mM Li(2)SO(4) to the system buffered with phosphate gave the highest value of resolution for differences in surface protein charge (RSPC). It shows a decrease in the value of K (partition coefficient) with an increase in the protein's charge. The addition of 100 mM KCl to the system promoted the opposite effect on the RSPC value. Charge-modified proteins were partitioned in PEG/salt systems to investigate the ability of these systems for resolving differences in surface charge. The PEG/citrate system seemed to have almost no ability for resolving proteins on the basis of surface charge differences; PEG/phosphate systems had some capability for resolving differently charged proteins. The more negative proteins tended to have higher values of K than the more positively charged fractions. The use of charge-modified proteins allowed the investigation of the effect of protein surface charge on partitioning in aqueous two-phase systems independently from other protein parameters as they were prepared from a common parent protein thaumatin. This technique provides an interesting novel tool to investigate the effect of protein surface charge on partitioning in ATPS taking protein charge as an independent parameter. (c) 1996 John Wiley & Sons, Inc.     

Partition of proteins in aqueous two-phase systems containing charged dextran or hydrophobic PEG

Summary The electrochemical effect of a charged dextran derivative and the hydrophobic effect of hydrophobic chain PEG derivative on partitioning of six types of proteins in PEG/dextran aqueous two-phase systems were investigated- When 1. 6%(w/w)DEAE-dextran was present in the system,the partition coefficient decreased quickly with increasing pH value;when 0. 4% (w/w)PEG pentadecanoic acid ester was present in the system, the partition coefficient of protein with strong hydrophobicity was greatly increased. The experimental results show that the influence of hydrocarbon chain PEG derivative on partition coefficient is closely related to the hydrophobicity of proteins.     

Correlations for the partition behavior of proteins in aqueous two-phase systems: effect of overall protein concentration

The effect of protein concentration in partitioning in PEG/salt aqueous two-phase systems has been investigated. PEG 4000/phosphate systems in the presence of 0% w/w and 8.8% w/w NaCl have been evaluated using amyloglucosidase, subtilisin, and trypsin inhibitor. Also, a PEG 4000/phosphate system with 3% w/w NaCl was used for alpha-amylase. The concentration of the protein in each of the phases affected its partition behavior. The pattern for the individual proteins was dependent on their physicochemical properties. In the top phase, maximum protein concentration was determined mainly by a steric exclusion effect of PEG, and hydrophobic interaction between PEG and proteins. In the bottom phase, maximum concentration was determined mainly by a salting-out effect of the salts present. As the ionic strength was increased in the systems the concentration in the top phase increased for all proteins. In the bottom phase an increase in ionic strength increased the salting-out effect. Amyloglucosidase had a very low maximum concentration in the PEG-rich top phase which was probably due to its large size (steric exclusion) and low hydrophobicity, and a high concentration in the salt-rich bottom phase due to its high hydrophilicity. In the case of subtilisin and trypsin inhibitor, their high concentrations in the top phase were due to their hydrophobic nature (hydrophobic interaction with PEG) and small size (negligible steric exclusion). The maximum concentration in the bottom phase for trypsin inhibitor was lower than that of subtilisin which was probably due to its higher hydrophobicity and, hence, a stronger salting-out effect. The protein concentration in each of the two phases was correlated with a "saturation"-type equation. The partition coefficient could be satisfactorily predicted, as a function of the overall protein concentration, by the ratio between the "saturation" equations of the two individual phases. Better correlations were obtained when an empirical sigmoidal Boltzmann equation was fitted to the data, since in virtually all cases the partition coefficient is constant at low protein concentration (true partitioning) and changes to a different constant value at a high overall protein concentration. (c) 1996 John Wiley & Sons, Inc.     

Optimization of bovine serum albumin sorption and recovery by hydrogels

Aqueous two-phase systems are composed of aqueous solutions of either two water-soluble polymers, usually polyethylene glycol (PEG) and dextran (Dx), or a polymer and a salt, usually PEG and phosphate or sulfate. Partitioning of proteins in such systems provides a powerful method for separating and purifying mixtures of biomolecules by extraction. If one of the phase forming polymers is a crosslinked gel, then the solution-controlled gel sorption may be considered as a modification of aqueous two-phase extraction. Since PEG/dextran systems are widely used in aqueous two-phase extraction and dextran gels (Sephadex) are common chromatographic media, we choose a PEG/dextran gel system as a model system in this study. The partitioning behavior of pure bovine serum albumin (BSA) in PEG/dextran gel systems is investigated to see the effects of variations in PEG and NaCl concentrations on the partition coefficient K. By making use of the Box-Wilson experimental design, K is shown to be maximized at 9.8 (%, w/w) PEG and 0.2 M NaCl concentrations, respectively, as 182.     

The application of aqueous two-phase systems to the purification of pharmaceutical proteins from transgenic sheep milk

Transgenic sheep milk containing the protein human₁-Antitrypsin (AAT) was partitioned in Poly(ethyleneglycol) (PEG)-Sulphate and PEG-Phosphate biphasic systems. Individual partition coefficients for AAT and some of the milk proteins were determined in these systems. The effects of PEG molecular weight, pH and the inclusion of NaCl on the partitioning of the proteins were also studied. It was found that increasing the concentration of NaCl and decreasing the molecular weight of the PEG resulted in an increase of the partition coefficients of the proteins to the upper (PEG) phase. This partitioning effect was greater for the more hydrophobic proteins and particularly in systems having a pH close to the isoelectric point of the protein. Solubilities of the proteins in increasing concentrations of ammonium sulphate were measured in order to investigate the effects of hydrophobic and electrostatic interactions on the partitioning of these proteins in aqueous two-phase systems. Those proteins that precipitated at low levels of ammonium sulphate showed an increase in partition coefficient at low concentrations of NaCl, or they were precipitated at the interface of the phases at low concentrations of NaCl. Proteins that had low salting out constants in ammonium sulphate solutions were relatively unaffected by NaCl in ATPS. It is probable however that conformational changes and the state of aggregation of proteins are also important and should be invoked in describing the partitioning behavior observed for -Lg for example. Comparison of theoretical and experimental values for AAT yield and purity showed clearly that partition coefficients are influenced by the degree of purity and values obtained with purified standards are not necessarily the same as for the same protein present in a complex mixture. Under the most favourable conditions using a 4% w/w loading of transgenic ovine milk, we obtained a 91% yield of AAT in the PEG phase with a purity of 73%.This revised version was published online in October 2005 with corrections to the Cover Date.     

Relationship between the protein surface hydrophobicity and its partitioning behaviour in aqueous two-phase systems of polyethyleneglycol-dextran

In order to develop possible correlations to predict partioning behaviour of proteins, five mammalian albumins (goat, bovine, equine, human and pig ones) with similar physico-chemical properties (molecular mass and isoelectrical point) were chosen. Evaluation of the relationship between hydrophobicity and partitioning coefficient (Kr) in polyethylenglycol-dextran (PEG-DxT500) systems formed by polyethyleneglycols of different molecular mass (3350, 6000 and 10,000) was investigated by estimating relative surface hydrophobicity (So) with a fluorescent probe, 1 anilino-8-naphthalene sulfonate. No relationship between Kr and So was found for systems formed by PEG3350, while aqueous two-phase systems with PEG6000 and PEG10,000 gave better correlations. The results obtained may be explained on the basis of an increase in the interaction between the latter PEGs and the protein due to their higher hydrophobic character which increases as the PEG molecular mass does so. In this way, systems with PEGs of higher molecular mass give the highest resolution to exploit hydrophobicity in partitioning.     

Protein sorption and recovery by hydrogels using principles of aqueous two-phase extraction

Use of the thermodynamic principles of aqueous two-phase extraction (ATPE) to drive protein into a crosslinked gel is developed as a protein isolation and separation technique, and as a protein loading technique for drug delivery applications. A PEG/dextran gel system was chosen as a model system because PEG/dextran systems are widely used in aqueous two-phase extraction and dextran gels (Sephadex(R)) are common chromatographic media. The effects of polymer concentrations and molecular weights, salts, and pH on the partitioning of ovalbumin matched ATPE heuristics and data trends. Gel partition coefficients (Cgel/Csolution) increased with increasing PEG molecular weight and concentration and decreasing dextran concentration (increased gel swelling). The addition of PEG to the buffer solution yielded partition coefficients more than an order of magnitude greater than those obtained in systems with buffer alone, or added salt. A combined salt/PEG system yielded an additional order of magnitude increase. For example, when ovalbumin solution (2.3 mg/mL) was equilibrated with Sephadex(R) G-50 at pH 6.75, the partition coefficients were 0.13 in buffer, 0.11 in buffer with 0.22M KI, 2.3 in 12 wt% PEG-10,000 and 32.0 in 12 wt% PEG-10, 000 with 0.22M KI. The effect of anions and cations as well as ionic strength and pH on the partitioning of ovalbumin also matched ATPE heuristics. Using the heuristics established above, partition coefficients as high as 80 for bovine serum albumin and protein recoveries over 90% were achieved. In addition, the wide range of partition coefficients that were obtained for different proteins suggests the potential of the technique for separating proteins. Also, ovalbumin sorption capacities in dextran were as high as 450 mg/g dry polymer, and the sorption isotherms were linear over a broad protein concentration range.     

Role of polymer–protein interaction on partitioning pattern of bovine pancreatic trypsinogen and alpha-chymotrypsinogen in polyethyleneglycol/sodium tartrate aqueous two-phase systems

The partitioning pattern of bovine trypsinogen (TRPz) and alpha-chymotrypsinogen (ChTRPz) was investigated in a low impact aqueous two-phase system formed by polyethyleneglycol (PEG) and sodium tartrate (NaTart) pH 5.00. ChTRPz exhibited higher partition coefficients than TRPz did in all the assayed systems. The decrease in PEG molecular weight and the increase in tie line length were observed to displace the partitioning equilibrium of both proteins to the top phase, while phase volume ratios in the range 0.5–1.5 showed not to affect protein partitioning behaviour. Systems formed by PEG of molecular weight 600 with composition corresponding to a high tie line length (PEG 12.93%, w/w and NaTart 21.20%, w/w) are able to recover most of both zymogens in the polymer-enriched phase. A crucial role of PEG–protein interaction in the partitioning mechanism was evidenced by isothermal calorimetric titrations. The major content of highly exposed tryptophan rests, present in ChTRPz molecule, could be considered to be determinant of its higher partition coefficient due to a selective charge transfer interaction with PEG molecule. A satisfactory correlation between partition coefficient and protein surface hydrophobicity was observed in systems formed with PEGs of molecular weight above 4000, this finding being relevant in the design of an extraction process employing aqueous two-phase systems.     

Differences in hydrophobic properties for human alpha 2-macroglobulin and pregnancy zone protein as studied by affinity phase partitioning

Human alpha 2-macroglobulin and pregnancy zone protein are related with regard to primary structure, physicochemical properties, and quarternary structure. Both proteins undergo conformational changes when they form complexes with proteinases or react with primary amines. The surface properties of the native, chymotrypsin-treated and methylamine-treated forms of alpha 2-macroglobulin and pregnancy zone protein were studied by partitioning in aqueous two-phase systems composed of 7.5% dextran T70 and 5% poly(ethylene glycol) 8000. All proteins and their derivatives had a high potential for hydrophobic interaction as analyzed in terms of affinity for poly(ethylene glycol) esters of fatty acids included in the phase systems. Treatment of alpha 2-macroglobulin with methylamine or chymotrypsin increased the surface hydrophobicity significantly compared to that of the native protein. No difference in hydrophobic interaction was found for native and methylamine-treated pregnancy zone protein, but the chymotrypsin-treated protein showed a marked increase in binding to the hydrophobic ligand. The changes in surface hydrophobicity parallel changes in receptor binding properties of the derivatized forms of alpha 2-macroglobulin and could be a signal for binding to cell-surface receptors, followed by internalization.     

A mathematical model for metal affinity protein partitioning

A mathematical model of metal affinity partitioning has been derived and used to describe protein partitioning in Cu (II)PEG/dextran systems. A working model has been extended to account for inhibition, which for metal affinity extraction is the inhibition of protein-metal binding by hydrogen ion. PEG/dextran partitioning experiments were performed on four proteins, tuna heart cytochrome c, Candida krusei cytochrome c, horse myoglobin, and sperm whale myoglobin. The partition coefficients for these proteins are increased by the addition of Cu (II)PEG-IDA, due to the affinity between the chelated copper atom and metal-coordinating histidine residues on the protein surface. The results of experiments to determine the effects of the number of binding sites on the protein, the copper concentration, and pH on partitioning are all well-described by the mathematical model. The pK(a) value of the metal binding site was determined to be 6.5, which is in the range of pK(a) values commonly observed for surface histidines. The average association constant for the binding of Cu (II)PEG-IDA to accessible histidines was found to be 4.5 x 10(3). This value is comparable to stability constants measured by conventional potentiometry techniques for analogous small complexes.     

Aqueous two-phase metal affinity extraction of heme proteins

An iminodiacetic acid derivative of poly(ethylene glycol) (PEG-IDA) that chelates metal cations has been synthesized and used to extract proteins in metal affinity aqueous two-phase PEG/dextran systems. With less than 1% of the PEG substituted with chelated copper, partition coefficients are shown to increase by factors of up to 37 over extraction with unsubstituted PEG. The proteins studied are preferentially extracted into the Cu(II)PEGIDA phase in proportion to the number of accessible histidine residues on their surface. The affinity contribution to partitioning is proportional to the number of exposed histidine over a very wide range. The partition coefficients of heme-containing proteins measured in the Cu(II)PEG-IDA/dextran systems increase with the pH of the extraction mixture from pH 5.5 to pH 8.0, while partition coefficients in the unsubstituted PEG/dextran systems are very nearly independent of pH. The strong pH dependence of the metalaffinity extraction can be utilized in the recovery of the extracted protein.     

The surface exposed amino acid residues of monomeric proteins determine the partitioning in aqueous two-phase systems

It is of great interest and importance how different amino acid residues contribute to and affect the properties of a protein surface. Partitioning in aqueous two-phase systems has the potential to be used as a rapid and simple method for studying the surface properties of proteins. The influence on partitioning of the surface exposed amino acid residues of eight structurally determined monomeric proteins has been studied. The proteins were characterized in terms of surface exposed residues with a computer program, Graphical Representation and Analysis of Surface Properties (GRASP), and partitioned in two EO30PO70-dextran aqueous two-phase systems, only differing in polymer concentrations (system I: 6.8% EO30PO70, 7.1% dextran; system II: 9% EO30PO70, 9% dextran). We show for the first time that the partitioning behaviour of different monomeric proteins can be described by the differences in surface exposed amino acid residues. The contribution to the partition coefficient of the residues was found to be best characterized by peptide partitioning in the aqueous two-phase system. Compared to hydrophobicity scales available in the literature, each amino acid contribution is characterized by the slope given by the graph of log K against peptide chain length, for peptides of different length containing only one kind of residue. It was also shown that each amino acid contribution is relative to the total protein surface and the other residues on the surface. Surface hydrophobicity calculations realized for systems I and II gave respectively correlation coefficients of 0.961 and 0.949 for the linear relation between log K and calculated hydrophobicity values. To study the effect on the partition coefficient of different amino acids, they were grouped into classes according to common characteristics: the presence of an aromatic group, a long aliphatic chain or the presence of charge. Using these groups it was possible to confirm that aromatic residues have the strongest effect on the partition coefficient, giving preference to the upper EO30PO70 phase of the system; on the other hand the presence of charged amino acids on the protein surface enhances the partition of the protein to the lower dextran phase. It is also important to note that the sensitivity of the EO30PO70-dextran system for the surface exposed residues was increased by increasing the polymer concentrations. The partition coefficient of a monomeric protein can thus be predicted from its surface exposed amino acid residues and the system can also be used to characterize protein surfaces of monomeric proteins in general.     

Fundamental studies of biomolecule partitioning in aqueous two-phase systems

Phase diagram data at 4 degrees C was determined for the aqueous two-phase systems composed of polyethylene glycol, dextran, and water. The Flory-Huggins theory of polymer thermodynamics was used to correlate partitioning of biomolecules in these aqueous two-phase systems resulting in a simple linear relationship between the natural logarithm of the partition coefficient and the concentration of polymers in the two phases. This relationship was verified by partitioning a series of dipeptides which differ from one another by the addition of a CH(2) group on the c-terminal amino acid residue and by utilizing a set of low-molecular-weight proteins. The slope of the line could be expressed in terms of the interactions of the biomolecule with the phase forming polymers and water. The main result for the dipeptides was that knowledge of the partition coefficient in any of the PEG/dextran/water systems, regardless of polymer molecular weight, enabled prediction of the coefficient in all of the systems. The dipeptides were also used for determination of the Gibbs free energy of transfer of a CH(2) group between the phases. This quantity was correlated with polymer concentration, thus establishing a hydrophobicity profile for the PEG/ dextran/water systems. The methodology for predicting dipeptide partition coefficients was extended to proteins, where it was found that low-molecular-weight proteins gave a linear relationship with the tie line compositions of a phase diagram.     

Aqueous two-phase systems containing urea: influence on phase separation and stabilization of protein conformation by phase components.

During recombinant Escherichia coli fermentation with high expression levels, inclusion bodies are often formed. Aqueous two-phase systems have been used in the presence of urea for the initial recovery steps. To investigate phase behavior of such systems we determined phase diagrams of poly(ethylene glycol) (PEG)/sodium sulfate/urea/water and PEG/dextran T-500 (DEX)/urea/phosphate buffer/water at different concentrations of urea and different molecular weight of PEG. PEG/Na2SO4 aqueous two-phase systems could be obtained including up to 30% w/w urea at 25 degrees C and PEG/dextran T-500 up to 35% w/w urea. The binodial was displaced toward higher concentrations with increasing urea concentrations. The partition coefficient of urea was near unity. An unstable mutant of T4-lysozyme with an amino acid replacement in the core (V149T) was used to analyze the effect of phase components on the conformation of the enzyme. We showed that partitioning of tryptophan was not dependent on the concentration of urea in the phase system.     

Purification of lipase produced by a new source of Bacillus in submerged fermentation using an aqueous two-phase system

This work discusses the application of an aqueous two-phase system for the purification of lipases produced by Bacillus sp. ITP-001 using polyethylene glycol (PEG) and potassium phosphate. In the first step, the protein content was precipitated with ammonium sulphate (80% saturation). The enzyme remained in the aqueous solution and was dialyzed against ultra-pure water for 18 h and used to prepare an aqueous two-phase system (PEG/potassium phosphate). The use of different molecular weights of PEG to purify the lipase was investigated; the best purification factor (PF) was obtained using PEG 20,000g/mol, however PEG 8000 was used in the next tests due to lower viscosity. The influence of PEG and potassium phosphate concentrations on the enzyme purification was then studied: the highest FP was obtained with 20% of PEG and 18% of potassium phosphate. NaCl was added to increase the hydrophobicity between the phases, and also increased the purification factor. The pH value and temperature affected the enzyme partitioning, with the best purifying conditions achieved at pH 6.0 and 4°C. The molecular mass of the purified enzyme was determined to be approximately 54 kDa by SDS-PAGE. According to the results the best combination for purifying the enzyme is PEG 8000g/mol and potassium phosphate (20/18%) with 6% of NaCl at pH 6.0 and 4°C (201.53 fold). The partitioning process of lipase is governed by the entropy contribution.     

Relative hydrophobicity of organic compounds measured by partitioning in aqueous two-phase systems

Partitioning of a variety of organic compounds, the majority of which represent therapeutic drugs, was examined in an aqueous dextran–polyethylene glycol (Dex–PEG) two-phase system containing 0.15 M NaCl in 0.01 M sodium phosphate buffer at pH 7.3 and in an octanol–buffer (0.15 M NaCl in 0.01 M sodium phosphate buffer, pH 7.3) system. The possibility of introducing compounds to be partitioned in an aqueous two-phase system with dimethyl sulfoxide, and the effect of this solvent on the solute partitioning was explored. Relative hydrophobicity of the compounds was estimated and expressed in equivalent numbers of methylene units. Comparison of the results obtained for several subsets of compounds in the octanol–buffer and in aqueous Dex–PEG two-phase systems clearly demonstrates the advantage of aqueous two-phase partitioning for the hydrophobicity measurements over partitioning in octanol–buffer system.     

Optimization of bovine serum albumin partition coefficient in aqueous two-phase systems

Partitioning of proteins in aqueous two-phase systems has been shown to provide a powerful method for separating and purifying mixtures of biomolecules by extraction. These systems are composed of aqueous solutions of either two water-soluble polymers, usually polyethylene glycol (PEG) and dextran (Dx), or a polymer and a salt, usually PEG and phosphate or sulfate. There are many factors which influence the partition coefficient K, the ratio of biomolecule concentration in the top phase to that in the bottom phase, in aqueous two-phase systems. The value of the partition coefficient relies on the physico-chemical properties of the target biomolecule and other molecules and their interactions with those of the chosen system. In this work, the partition behavior of pure bovine serum albumin in aqueous two-phase systems was investigated in order to see the effects of changes in phase properties on the partition coefficient K. The concentration of NaCl and pH were considered to be the factors having influence on K. Optimal conditions of these factors were obtained using the Box-Wilson experimental design. The optimum value of K was found as 0.0126 when NaCl concentration and pH were 0.14 M and 9.8, respectively, for a phase system composed of 8% (w/w) polyethylene glycol 3,350 - 9 (% w/w) dextran 37,500 - 0.05 M phosphate at 20 °C.     

Peptide fusion tags with tryptophan and charged residues for control of protein partitioning in PEG–potassium phosphate aqueous two-phase systems

A partition study with peptides and recombinant proteins in poly(ethylene glycol)4000–potassium phosphate aqueous two-phase systems has been performed. The aim was to study to what extent the insertion of charged residues could affect protein partition in addition to the already observed effects of tryptophan residues. The model proteins used are based on a staphylococcal protein A derivative, Z, and modified by the insertion of peptide tags close to the C-terminus. The tags differed with respect to their content of both Trp, negatively (Asp) and positively charged (Lys) amino acid residues. The same partitioning trends were observed for the peptides and fusion proteins. The effect of Trp residues was to direct the partitioning towards the PEG phase. The insertion of two negatively charged (Asp) residues into a Trp₄-tag enhanced the partition towards the PEG phase even more. The introduction of positively charged (Lys) residues in addition to Trp residues, on the other hand, pulled the peptide or protein towards the potassium phosphate phase. The partitioning of peptides gave a good qualitative picture of the effect of the peptide on partitioning when fused to the protein. The efficiencies of the tags were calculated based on partitioning of tags and fusion proteins, and tag efficiencies generally varied between 60 and 85%.