Isocratic and gradient elution in micellar liquid chromatography with Brij‐35

Polyoxyethylene(23)lauryl ether (known as Brij‐35) is a nonionic surfactant, which has been considered as an alternative to the extensively used in micellar liquid chromatography anionic surfactant sodium lauryl (dodecyl) sulfate, for the analysis of drugs and other types of compounds. Brij‐35 is the most suitable nonionic surfactant for micellar liquid chromatography, owing to its commercial availability, low cost, low toxicity, high cloud temperature, and low background absorbance. However, it has had minor use. In this work, we gather and discuss some results obtained in our laboratory with several β‐blockers, sulfonamides, and flavonoids, concerning the use of Brij‐35 as mobile phase modifier in the isocratic and gradient modes. The chromatographic performance for purely micellar eluents (with only surfactant) and hybrid eluents (with surfactant and acetonitrile) is compared. Brij‐35 increases the polarity of the alkyl‐bonded stationary phase and its polyoxyethylene chain with the hydroxyl end group allows hydrogen‐bond interactions, especially for phenolic compounds. This offers the possibility of using aqueous solutions of Brij‐35 as mobile phases with sufficiently short retention times. The use of gradients of acetonitrile to keep the concentration of Brij‐35 constant is another interesting strategy that yields a significant reduction in the peak widths, which guarantee high resolution.     

High speed gradient elution reversed-phase liquid chromatography

A major disadvantage of gradient elution in terms of speed results from the need to adequately re-equilibrate the column. This work distinguishes two states of re-equilibration: (1) run-to-run repeatability and (2) full equilibration. We find that excellent repeatability (+/-0.002 min in retention time) is achieved with at most 2 column volumes of re-equilibration whereas full equilibration can require considerably more than 20 column volumes. We have investigated the effects of adding ancillary solvents (e.g. n-propanol, n-butanol) to the eluent and changing the particle pore size, initial eluent composition and type, column temperature and flow rate on the speed of full equilibration. Full equilibration seems to be more thermodynamically limited than kinetically controlled. Also, we show that the main limitation to reducing the full equilibration time is related to instrument design issues; a novel approach to overcome these instrumental issues is described.     

Optimization of peptide separations in reversed-phase HPLC: Isocratic versus gradient elution

Summary We have determined the interaction behaviour of peptides with hydrophobic stationary phases on analytical columns using isnocratic or shallow gradient elution for the purpose of developing procedures for rapid optimization of conditions for preparative reversed-phase chromatography of peptides. From our investigation of the separation of two closely related decapeptides (differing by one methyl group), in a 1:1 molar ratio on an analytical C8 column, we have found that shallow gradients of 0.1% acetonitrile/min appeared to be the best compromise between resolution and a practical run time for preparative peptide separations. Up to 20mg of the two-peptide mixture was efficiently resolved on the analytical column, with >97% recovery of homogeneous peptides.     

Prediction of protein retention at gradient elution conditions in ion-exchange chromatography.

This work presents a prediction procedure for protein retention in ion-exchange chromatography, where two linear gradient experiments of different length give the protein retention time at other linear gradients. The procedure predicts the retention time of early and late eluting proteins with similar precision and predictions by extrapolation deviate approximately 3% or less from the experimental retention times. By using the ionic strength, this procedure predicts protein retention times obtained with divalent ions in the eluent more accurately than a well-established procedure that uses the protein co-ion concentration.     

Hydrophilic interaction ultra performance liquid chromatography retention prediction under gradient elution

The development and application of new separation mechanisms such as hydrophilic interaction chromatography (HILIC) is of high importance for the simultaneous analysis of polar molecules such as primary metabolites. However the retention mechanism in HILIC is not fully understood and as a result retention prediction tools are not at hand for this chromatographic approach. In the present report we study the utility of a simple algorithm, based on a simple linear and/or a simple logarithmic retention model, for retention prediction in HILIC gradient separation of a mixture of 23 selected compounds including (poly)amines, amino acids, saccharides, and other molecules. Utilizing two types of gradient elution programs with or without an isocratic part, retention data were collected in order to build prediction models. Starting from at least three gradient runs the prediction of analyte retention was very satisfactory for all gradient programs tested, providing useful evidence of the value of such retention time prediction methodologies.     

Application of artificial neural networks for gradient elution retention modelling in ion chromatography

Gradient elution in ion chromatography (IC) offers several advantages: total analysis time can be significantly reduced, overall resolution of a mixture can be increased, peak shape can be improved (less tailing) and effective sensitivity can be increased (because there is little variation in peak shape). More importantly, it provides the maximum resolution per time unit. The aim of this work was the development of a suitable artificial neural network (ANN) gradient elution retention model that can be used in a variety of applications for method development and retention modelling of inorganic anions in IC. Multilayer perceptron ANNs were used to model the retention behaviour of fluoride, chloride, nitrite, sulphate, bromide, nitrate and phosphate in relation to the starting time of gradient elution and the slope of the linear gradient elution curve. The advantage of the developed model is the application of an optimized two-phase training algorithm that enables the researcher to make use of the advantages of first- and second-order training algorithms in one training procedure. This results in better predictive ability, with less time required for the calculations. The number of hidden layer neurons and experimental data points used for the training set were optimized in terms of obtaining a precise and accurate retention model with respect to minimization of unnecessary experimentation and time needed for the calculation procedures. This study shows that developed, ANNs are the method of first choice for retention modelling of inorganic anions in IC.     

梯度液相色谱保留时间公式在梯形梯度洗脱研究中的应用

根据前期得到的梯度液相色谱保留时间计算公式,在不指定溶剂强度模型形式的前提下,探讨了梯形梯度洗脱的一些特点。对于溶质在梯形梯度坡度上流出时的情形,推导得到溶质流出色谱柱所对应的流动相组成(φ_R)随梯度斜率(B)变化的表达式。该公式表明,在该情形中φ_R将会随着B值的增加而增加。对于溶质在梯形梯度最后一个等度区间流出时的情形,如果初始和终止流动相组成保持不变而仅有梯度的斜率发生变化时,从理论上证明了溶质保留时间(t_R)与梯度斜率的倒数(1/B)之间呈线性关系。实验中以C18色谱柱为固定相,甲醇-水为流动相,联苯为样品,测定了不同流动相组成以及梯形梯度条件下的保留时间,所得到的实验值与理论值吻合,从而验证了理论方法的正确性。     

Prediction of peptide retention times in reversed-phases high-performance liquid chromatography during linear gradient elution

The retention behavior of 100 peptides was studied during high-performance liquid chromatography on a C₁₈ column using aqueous trifluoroacetic acid as the mobile phase and acetonitrile as the mobile phase modifier in a linear gradient elution system. Retention times of the peptides were linearly related to the logarithm of the sum of Rekker's constants (R.F. Rekker, The Hydrophobic Fragmental Constant, Elsevier, Amsterdam, 1977, p. 301) for the constituent amino acid. Assuming this relationship, the best fit constants for this system were computed by non-linear multiple regression analysis. Using the new constants, it is possible to predict retention times for a wide variety of peptides at any slope of linear gradient, if the amino acid composition is known. It also enables accurate prediction of the retention time of peptides, whose amino acid composition in not known, after an analytical run with an alternate gradient.     

Evaluation of separation in gradient elution ion chromatography by combining several retention models and objective functions

In this work, three different methods for modeling of gradient retention were combined with several optimization objective functions in order to find the most appropriate combination to be applied in ion chromatography method development. The system studied was a set of seven inorganic anions (fluoride, chloride, nitrite, sulfate, bromide, nitrate, and phosphate) with a KOH eluent. The retention modeling methods tested were multilayer perceptron artificial neural network (MLP-ANN), radial-basis function artificial neural network (RBF-ANN), and retention model based on transfer of data from isocratic to gradient elution mode. It was shown that MLP retention model in combination with the objective function based on normalized retention difference product was the most adequate tool for optimization purposes.     

Relationship between human IgG structure and retention time in hydroxyapatite chromatography with sodium chloride gradient elution

Accurate prediction of the elution tendency of monoclonal antibodies in column chromatography would be beneficial for the efficient setup of purification procedures. Hydroxyapatite chromatography experiments using 37 recombinant human monoclonal antibodies were performed by sodium chloride gradient elution with 5 mM sodium phosphate to correlate the retention times with antibody structures (subclass and light‐chain isotypes). The contribution of metal affinity interactions in the interaction of antibodies with hydroxyapatite was investigated by (i) eliminating 5 mM sodium phosphate in buffers, (ii) comparing sodium chloride versus sodium phosphate gradient elutions, and (iii) using IgG₄ antibodies with a leucine→glutamate mutation. By using antibodies of different subclasses but with identical Fab regions, the elution behavior in sodium chloride elution could be classified by subclass and type of light chain. It is considered that the retention of monoclonal antibodies to hydroxyapatite is affected by the cooperation of phosphoryl cation exchange and metal affinity interactions. The contribution of the metal affinity interactions is greater in the sodium chloride gradient elution method than in the sodium phosphate gradient elution method.     

Surfactant-mediated hydrophobic interaction chromatography of proteins: gradient elution

Addition of 3-[(3-cholamidopropyl)dimethylammonio]-l-propanesulphonate (CHAPS) to mobile phases in gradient elution hydrophobic interaction chromatography (HIC) on SynChropak Propyl causes changes in observed elution times for nine globular proteins. The nine proteins showed different percentage reductions in capacity factor, k', demonstrating the ability of CHAPS to change the selectivity of the separations. Three basic types of gradient experiments have been explored for surfactant-mediated gradient elution HIC. Type I gradients are conducted with constant salt and variable surfactant concentration. Type II gradients with variable salt and constant surfactant concentration, and Type III gradients with variable salt and surfactant concentrations. By the criterion of a linear relationship between gradient time and retention time the linear solvent strength condition applies to Type II and Type III gradients. Type III gradients, with the fastest re-equilibration time, are preferable for repetitive analyses. Type I gradients are relatively ineffective in making use of the solvent strength of CHAPS, and Types I and II gradients require long equilibration times due to large changes in surface concentration of CHAPS which occur during elution. The presence of CHAPS had a negligible effect on peak shapes of the proteins examined, except for bovine serum albumin which yielded a narrower, less distorted peak in the presence of CHAPS.     

Optimization of stepwise gradient elution in columns chromatography

Summary A general equation for the final retention of a solute chromatographed under conditions of stepwise gradient elution has been derived. The elution process and the distances travelled by solutes as a function of eluent volume were simulated by computer for the optimization of stepwise gradient prorams from isocratic HPLC data. The validity of the equations was experimentally veritied.     

Optimization of stepwise gradient elution in reversed-phase chromatography

Summary Equations describing multi-step gradient elution with a mobile phase of constant composition in each step were derived. These equations useful for calculating the retention volumes in both gradient HPLC and TLC were derived on the basis of the relationship between the isocratic capacity factor and the volume fraction of the organic modifier. The validity of the equations was experimentally verified in a LiChrosorbRP-18-water/methanol system for 11 methyl- and chlorobenzenes and phenols. A satisfactory agreement between the theoretical and experimental k′ values was found.     

Development of a large-volume, membrane-based injection system for gradient elution micro-liquid chromatography

A membrane unit which can be used to inject a large volume of sample solution was developed to facilitate reproducible and accurate gradient elution in micro-high-performance liquid chromatography (micro-HPLC). Since the membrane unit has a very low void volume, it facilitates the effective concentration of analytes in large sample volumes. Gradient elution micro-HPLC with the membrane unit allowed the efficient separation of n-alkyl benzoates, used as test samples, in a short time without marked gradient delay. In this study, the membrane unit could be loaded with up to 50 microg of n-hexyl benzoate, and more than 500 microL of sample solution could be applied. In about 50 chromatographic runs, the relative standard deviation (RSD) of the relative retention time of n-hexyl benzoate with respect to methyl benzoate was 0.530%.     

The bandwidth in gradient elution chromatography with a retained organic modifier

The variance of a chromatographic band is derived in the case of RPLC gradient elution when the organic modifier is significantly retained onto the stationary phase. This derivation is based on the extension of a model due to Poppe et al. [H. Poppe, J. Paanakker, M. Bronckhorst, J. Chromatogr., 204 (1981) 77] which assumes that the gradient front remains unchanged and propagates along the column at the same speed as the mobile phase, following piston flow. Theoretical and experimental results are compared in the case of caffeine on a C(1)-silica stationary phase eluted with an acetonitrile gradient. The actual retention behaviors of caffeine and acetonitrile were implemented in the theoretical calculations. The model predicts compression factors between 0.71 and 0.34 for relatively smooth gradient steepness, betat(0), between 0.009 and 0.054 while the corresponding experimental band compression factors vary between 1.01 and 0.43 for the very same gradient steepness. The model underestimation of these factors arises likely from the strong deviation of the actual retention behavior from the prediction of the Linear Solvent Strength Model (LSSM).     

Multilinear gradient elution optimization in reversed-phase liquid chromatography based on logarithmic retention models: application to separation of a set of purines, pyrimidines and nucleosides

The analytical solutions of the fundamental equation of the multilinear gradient elution are derived in two cases, when the dependence of the logarithm of the solute retention (lnk) upon the volume fraction of organic modifier (φ) is a three-parameter logarithmic expression, and when a simple linear relationship between lnk and lnφ is adopted. The derived theoretical expressions for retention times under multilinear gradient conditions are embodied to simple algorithms for fitting gradient data and especially for resolution optimization. Their performance was examined by using a mixture of 16 model compounds chosen among purines, pyrimidine and nucleosides in eluting systems modified by acetonitrile. It was found that the accuracy of the predicted gradient retention times is very satisfactory even if the simple logarithmic expression for the retention behavior of solutes, i.e. the linear dependence of lnk upon lnφ, is used.     

Overloaded gradient elution chromatography on heterogeneous adsorbents in reversed-phase liquid chromatography

Overloaded band profiles of phenol were measured on a C18-Kromasil column in gradient elution conditions. The mobile phase used was a mixture of methanol and water. The volume fraction of methanol was allowed to vary between 0 and 0.5. A general adsorption model, which expresses the amount of phenol adsorbed q* as a function of both its concentration C and the composition phi of the organic modifier (methanol) in the mobile phase, was empirically derived from previous independent adsorption experiments based on frontal analysis (FA) and frontal analysis by the characteristic point (FACP). Accordingly, the general model was an extension of the simplest heterogeneous model, the Bilangmuir model, to non-isocratic conditions. The low-energy sites followed the classical linear solvent strength model (LSSM), but not the high-energy sites whose saturation capacity linearly decreased with phi. The general model was validated by comparing the experimental and simulated band profiles in gradient elution conditions, in linear and non-linear conditions, as well. The band profiles were calculated by means of the equilibrium-dispersive model of chromatography with a finite difference algorithm. A very good agreement was observed using steps gradient (delta phi) from 0 to 50% methanol and gradient times t(g) of 20, 25, 30, 40, 60, 80 and 100 min. The agreement was still excellent for steps gradient from 5 to 45% (t(g) = 25 min), 5 to 35% (t(g) = 50 min), 5 to 25% (t(g) = 50 min) and 5 to 15% (t(g) = 50 min). Significative differences appeared between experience and simulation when the slope of the gradient (delta phi/t(g)) became too strong beyond 3.3% methanol per minute. This threshold value probably mirrored the kinetic of arrangement of the G18-bonded chains when the methanol content increased in the mobile phase. It suggested that the chromatographic system was not in a full thermodynamic equilibrium state when very steep mobile phase gradients were applied.     

Relationship between human IgG structure and retention time in hydroxyapatite chromatography with sodium‐phosphate gradient elution

The aim of this study was to classify the retention time of recombinant human monoclonal antibodies (rhMAbs) in hydroxyapatite chromatography with sodium‐phosphate gradient elution according to their physicochemical properties. We analyzed 37 rhMAbs and found that (i) the structures of both the constant and variable regions affected retention time, (ii) the number of basic amino acid residues in the variable region, particularly in the heavy chain, correlated well with retention time, and (iii) this correlation was more pronounced (e.g. r²=0.87 for 18 κ IgG₁ rhMAbs) when the surface accessibility of those residues are taken into account. These findings provide a useful guide for investigators and purification‐process developers working with monoclonal antibodies.     

Characterization of the influence of displacing salts on retention in gradient elution ion-exchange chromatography of proteins and peptides.

It has been shown earlier that the choice of displacing salt has a large effect on the retention in ion-exchange chromatography of proteins and peptides. The influence of different displacing salts cannot be predicted or quantitatively explained, owing to the current lack of an adequate theoretical framework. In this work a general characterization is made by using a considerable number of proteins and peptides and all displacing salts found feasible. Principal component analysis is used to interpret the large amount of data that is generated. The results of the analysis indicate that most of the retention variations are due to non-specific effects and can be explained by changes in the apparent gradient slope, i.e., the increase in elution strength per unit volume, and the elution strength of the starting buffer. This differs from the interpretation given earlier, where the selectivity changes were attributed to specific effects of the salts. However, as it is impossible to test all existing proteins and peptides, specific effects are still possible, but they might be less common than previously considered.