Size-based characterization of nanoparticle mixtures by the inline coupling of capillary electrophoresis to Taylor dispersion analysis

3D Printed Instrument for Taylor Dispersion Analysis with Two-Point Laser-Induced Fluorescence Detection

Precisely controlling the size of engineered biomolecules and pharmaceutical compounds is often critical to their function. Standard methods for size characterization, such as dynamic light scattering or size exclusion chromatography, can be sample intensive and may not provide the sensitivity needed for mass- or concentration-limited biological systems. Taylor dispersion analysis (TDA) is a proven analytical method for direct, calibration-free size determination which utilizes only nL-pL sample volumes. In TDA, diffusion coefficients, which are mathematically transformed to hydrodynamic radii, are determined by characterizing band broadening of an analyte under well-controlled laminar flow conditions. Here, we describe the design and development of a 3D printed instrument for TDA, which is the first such instrument to offer dual-point laser-induced fluorescence (LIF) detection. The instrument utilized a fully 3D printed eductor as a vacuum source for precise and stable pressure-driven flow within a capillary, evidenced by a linear response in generated static pressure to applied gas pressure (R² = 0.997) and a 30-fold improvement in stability of static pressure (0.05% RSD) as compared to a standard mechanical pump (1.53%). Design aspects of the LIF detection system were optimized to maximize S/N for excitation and emission optical axes, and high sensitivity was achieved as evidenced by an 80 pM limit of detection for the protein R-Phycoerythrin and low nM limits of detection for three additional fluorophores. The utility of the instrument was demonstrated via sizing of R-Phycoerythrin at pM concentrations.

Taylor dispersion analysis in fused silica capillaries: a tutorial review

Biological and pharmaceutical analytes like liposomes, therapeutic proteins, nanoparticles, and drug-delivery systems are utilized in applications, such as pharmaceutical formulations or biomimetic models, in which controlling their size is often critical. Many of the common techniques for sizing these analytes require method development, significant sample preparation, large sample quantities, and lengthy analysis times. In other cases, such as DLS, sizing can be biased towards the largest constituents in a mixture. Therefore, there is a need for more rapid, sensitive, accurate, and straightforward analytical methods for sizing macromolecules, especially those of biological origin which may be sample-limited. Taylor dispersion analysis (TDA) is a sizing technique that requires no calibration and consumes only nL to pL sample volumes. In TDA, average diffusion coefficients are determined via the Taylor-Aris equation by characterizing band broadening of an analyte plug under well-controlled laminar flow conditions. Diffusion coefficient can then be interpreted as hydrodynamic radius (R_H) via the Stokes-Einstein equation. Here, we offer a tutorial review of TDA, intended to make the method better understood and more widely accessible to a community of analytical chemists and separations scientists who may benefit from the unique advantages of this versatile sizing method. We first provide a tutorial on the fundamental principles that allow TDA to achieve calibration-free sizing of analytes across a wide range of R_H, with an emphasis on the reduced sample consumption and analysis times that result from utilizing fused silica capillaries. We continue by highlighting relationships between operating parameters and critically important flow conditions. Our discussion continues by looking at methods for applying TDA to sample mixtures via algorithmic approaches and integration of capillary electrophoresis and TDA. Finally, we present a selection of reports that demonstrate TDA applied to complex challenges in bioanalysis and materials science.

Microfluidics and the quantification of biomolecular interactions

Microfluidic systems under laminar flow conditions provide in-solution information about species size and binding affinities at very modest sample costs. Flow-induced dispersion analysis directly measures the spread of the analyte profile using Taylor dispersion analysis, whereas microfluidic diffusional sizing quantifies the transfer of analyte from one phase to another. Species of sizes between 0.5 and 1000 nm can be analyzed, and different populations resolved. Both techniques also allow analysis in complex media and medium throughput analysis. These properties make them valuable complements to existing approaches to measure biomolecular interactions.

Contributions of Capillary Electrophoresis in Analytical Nanometrology: A Critical View

An overview on the increasing role of capillary electrophoresis in characterization and direct analysis of nanomaterials is herein presented. The niche of electrophoretic approaches in nanometrology is so relevant that nonmetallic, metal, metal oxide nanoparticles, and quantum dots have been analyzed to be targeted via capillary electrophoresis with conventional detection systems or coupling arrangements aimed at increasing selectivity and sensitivity toward either pristine or conjugated nanoparticles. Moreover, parameters altering intrinsic properties of nanoparticles may be optimized to gather the desired results and identify nanomaterials according to their size, shape, or associations with binding agents. The usefulness and quickness of capillary electrophoresis for quantifying or screening ultrasmall-sized particles enables this technique to set an example for analysis of standards or previously synthesized nanostructures in research or routine laboratories. Abundant evidence of the suitability of electrophoretic approaches for characterization and direct determination of nanomaterials in actual samples has been provided in this review, together with a discussion about hyphenation with state-of-the art detectors and comparison between capillary electrophoresis with other separation approaches. This permits scientific community to be optimistic in the short term.

Hydrodynamic Radius of Polymer-Coated Nanoparticles Measured by Taylor Dispersion: A Mathematical Model

This theoretical work addresses the characterization of polymer-coated nanoparticles via the analysis of Taylor dispersion experiments. Our focus is on determining the apparent hydrodynamic radius and the related accuracy bias, which results from polydispersity and optical-absorption-weighted averages. To that end, we construct a statistical model addressing joint distributions of particle core size and ligand surface density, which determine the hydrodynamic radius and optical absorption of such nanoparticles. Our model predicts that a polymer shell that is thick compared with the core radius results in a smaller bias than a thin shell, and the bias may become even negative when ligand surface density is sufficiently high.

Rapid 3-dimensional shape determination of globular proteins by mobility capillary electrophoresis and native mass spectrometry

Established high-throughput proteomics methods provide limited information on the stereostructures of proteins. Traditional technologies for protein structure determination typically require laborious steps and cannot be performed in a high-throughput fashion. Here, we report a new medium throughput method by combining mobility capillary electrophoresis (MCE) and native mass spectrometry (MS) for the 3-dimensional (3D) shape determination of globular proteins in the liquid phase, which provides both the geometric structure and molecular mass information of proteins. A theory was established to correlate the ion hydrodynamic radius and charge state distribution in the native mass spectrum with protein geometrical parameters, through which a low-resolution structure (shape) of the protein could be determined. Our test data of 11 different globular proteins showed that this approach allows us to determine the shapes of individual proteins, protein complexes and proteins in a mixture, and to monitor protein conformational changes. Besides providing complementary protein structure information and having mixture analysis capability, this MCE and native MS based method is fast in speed and low in sample consumption, making it potentially applicable in top–down proteomics and structural biology for intact globular protein or protein complex analysis.

Using native mass spectrometry and mobility capillary electrophoresis, the ellipsoid dimensions of globular proteins or protein complexes could be measured efficiently.

Resolution Limit of Taylor Dispersion: An Exact Theoretical Study

Taylor dispersion is a microfluidic analytical technique with a high dynamic range and therefore is suited well to measuring the hydrodynamic radius of small molecules, proteins, supramolecular complexes, macromolecules, nanoparticles and their self-assembly. Here we calculate an unaddressed yet fundamental property: the limit of resolution, which is defined as the smallest change in the hydrodynamic radius that Taylor dispersion can resolve accurately and precisely. Using concepts of probability theory and inferential statistics, we present a comprehensive theoretical approach, addressing uniform and polydisperise particle systems, which involve either model-based or numerical analyses. We find a straightforward scaling relationship in which the resolution limit is linearly proportional to the optical-extinction-weighted average hydrodynamic radius of the particle systems.

Precision of Taylor Dispersion

Taylor dispersion is capable of measuring accurately the hydrodynamic radius over several orders of magnitude. Accordingly, it is now a highly competitive technique dedicated to characterizing small molecules, proteins, macromolecules, nanoparticles, and their self-assembly. Regardless, an in-depth analysis addressing the precision of the technique, being a key indicator of reproducibility, is not available. Benefiting from analytical modeling and statistical analysis, we address error propagation and present a comprehensive theoretical study of the precision of Taylor dispersion. Theory is then compared against experiment, and we find full consistency. Our results are most helpful when the design, objectives, or control of analytical quality is in focus.

A Miniature 3D Printed LED-Induced Fluorescence Detector for Capillary Electrophoresis and Dual-Detector Taylor Dispersion Analysis

Taylor dispersion analysis (TDA) provides absolute determination of diffusion coefficients for analytes ranging from small molecules to particulate matter. TDA has seen a resurgence in recent years, as modern commercial capillary electrophoresis (CE) instrumentation is well equipped to meet the precision flow requirements of TDA. Discontinuous flow velocities, which occur during sample injection, can lead to substantial inaccuracies in single-point detection TDA. Dual-point detection allows TDA to be carried out under continuous flow in the volume between the detection points, but dual-point fluorescence detection has not previously been feasible within the confines of commercial CE instrumentation. Here, we describe a compact light-emitting diode (LED)-induced fluorescence detector designed for online, dual-point capillary detection within a commercial CE system. The three-dimensional (3D) printed detector houses an inexpensive LED excitation source, a bandpass excitation filter, an integral 3D printed pinhole collimator, and a ball lens, which collects fluorescence emission. Multivariate optimization of operating conditions yielded a detection limit of 613 ± 13 pM for CE of fluorescein disodium salt solution in borate buffer. The miniature size of the device allowed integration of two detectors within a commercial CE system without modification to the instrument, thereby enabling dual-detector assays including TDA and CE-TDA. Monitoring of the bioconjugation reaction between fluorescein isothiocyanate (FITC) and a model protein illustrates the utility of direct, calibration-free size determination, which enabled the resolution of fluorescence originating from free FITC from that of protein-bound FITC. TDA detection coupled to CE enabled the determination of peak identities without the need for standard solutions.

Mobility Capillary Electrophoresis-Restrained Modeling Method for Protein Structure Analysis in Mixtures

Protein stereostructure analysis in mixtures still remains challenging, especially large-scale analysis such as in proteomics. With the capability of measuring the hydrodynamic radius of ions in the liquid phase, mobility capillary electrophoresis (MCE) has been applied to study the structure of peptides. In this study, MCE was extended for protein mixture separation and their corresponding hydrodynamic radius analyses. After ellipsoid approximation, the results obtained by MCE experiments were then used as a restraint in molecular dynamics simulations to predict the most probable structure of each protein. Besides a three-protein mixture, a mixture of disulfide bond reduced insulin was also studied by this MCE-restrained modeling method. The results obtained by this method agree with literature studies, and mass spectrometry experiments were also carried out to confirm our findings.

Current Application of Capillary Electrophoresis in Nanomaterial Characterisation and Its Potential to Characterise the Protein and Small Molecule Corona

Due to the increasing use and production of nanomaterials (NMs), the ability to characterise their physical/chemical properties quickly and reliably has never been so important. Proper characterisation allows a thorough understanding of the material and its stability, and is critical to establishing dose-response curves to ascertain risks to human and environmental health. Traditionally, methods such as Transmission Electron Microscopy (TEM), Field Flow Fractionation (FFF) and Dynamic Light Scattering (DLS) have been favoured for size characterisation, due to their wide-availability and well-established protocols. Capillary Electrophoresis (CE) offers a faster and more cost-effective solution for complex dispersions including polydisperse or non-spherical NMs. CE has been used to rapidly separate NMs of varying sizes, shapes, surface modifications and compositions. This review will discuss the literature surrounding the CE separation techniques, detection and NM characteristics used for the analysis of a wide range of NMs. The potential of combining CE with mass spectrometry (CE-MS) will also be explored to further expand the characterisation of NMs, including the layer of biomolecules adsorbed to the surface of NMs in biological or environmental compartments, termed the acquired biomolecule corona. CE offers the opportunity to uncover new/poorly characterised low abundance and polar protein classes due to the high ionisation efficiency of CE-MS. Furthermore, the possibility of using CE-MS to characterise the poorly researched small molecule interactions within the NM corona is discussed.

Particle sizing methods for the detection of protein aggregates in biopharmaceuticals

Protein aggregation is a common biological phenomenon which is responsible for degenerative diseases and is problematic in the pharmaceutical industry. According to the rules provided by regulatory agencies, industry is supposed to assess the product quality regarding the presence of subvisible particles. Also, they should evaluate the technologies that are used to measure these particles. Therefore, US FDA and industry have been looking for methods capable of accurately characterizing the protein products. Four sizing techniques reviewed here are good candidates to be used for characterization of protein and their aggregates: dynamic light scattering, size-exclusion chromatography, electron microscopy and Taylor dispersion analysis. The first three are more established techniques while the last one is a more recent and growing technique.