Ion-pair Reversed-phase Liquid Research Articles

Separation and identification of oligonucleotides impurities and degradation products by reversed phase ultra-high performance liquid chromatography using phenyl-bonded stationary phases without ion pairs - a step towards sustainability

This manuscript discusses the development of a reversed-phase ultra high-performance liquid chromatography (RP UHPLC) method based on phenyl-bonded stationary phases without ion-pairs for the separation and identification of oligonucleotides. The elimination of ion-pair reagents makes the proposed protocol as more compliant to the principles of green chemistry, compared to the traditional ion-pair reversed-phase liquid chromatography methods (IP RP LC). In detail, three phenyl-based stationary phases were tested, namely a C18/AR (a C18 stationary phase with the addition of aromatic groups), a Phenyl-hexyl, and a Diphenyl. Generally, the retention of oligonucleotides increases with the increase of salt concentration and the decrease of the pH, thus confirming the significant impact of van der Waals interactions, salting-out effect, and π-electrons interactions in the retention mechanism. The highest retention and best peak symmetry were observed for the C18/AR stationary phase, while the lowest retention for the Phenyl-hexyl, with retention influenced by the type of salt in the mobile phase. The obtained methods using C18/AR stationary phases allow for the effective separations of positional isomers and for identifying impurities and degradation products using RP UHPLC Q-TOF-MS in a comparatively short time. The application of RP UHPLC Q-TOF-MS provides reasonable selectivity for the resolution of 33 impurities and two degradation products. Both groups of compounds are mainly 3’N and 5’N-shortmers, but in the case of impurities, modifications of cyclic phosphate and phosphate groups were also identified. Nevertheless, Diphenyl and Phenyl-Hexyl may be applied to separate modified oligonucleotides with higher salt concentrations. The proposed separation methods without ion-pair reagents contribute to a more sustainable approach in oligonucleotide analysis.

Optimization and Validation of Reversed Phase Ion-Pair Liquid Chromatographic Method for Accurate Determination of Nitrate in High Saline Seawater

Optimization and Validation of Reversed Phase Ion-Pair Liquid Chromatographic Method for Accurate Determination of Nitrate in High Saline Seawater

Probing the higher order structure of oligonucleotides through anion exchange chromatography

Large synthetic oligonucleotides such as guide ribonucleic acid (gRNA), a critical reagent in clustered regularly interspaced short palindromic repeats (CRISPR)/Cas9 genome editing, have complex higher order structures (HOS) inherent in their design. In this study, we first developed a generic anion exchange chromatography (AEX) method for the comprehensive analysis of a 100mer single guide ribonucleic acid (sgRNA) impurity profiling. AEX demonstrated superior resolution compared to other common chromatographic methods employed for sgRNA analysis, such as Ion-Pairing Reversed Phase Liquid Chromatography (IP-RPLC) and Hydrophilic Interaction Chromatography (HILIC). Moreover, we discovered AEX's potential in probing the HOS of RNAs by adjusting the temperature and using organic additives. Our study also highlighted that sgRNA possesses a unique HOS distinctly different from other therapeutic nucleic acids, such as antisense oligonucleotides and messenger RNAs.

Two-dimensional sequential selective comprehensive chiral×reversed-phase liquid chromatography of synthetic phosphorothioate oligonucleotide diastereomers

In recent years, many nucleic acid-based pharmaceuticals have been approved and entered the market, and even a larger number are in late stage clinical trials. Conventional oligonucleotides are facing issues in vivo like fast renal clearance and nuclease degradation. Therefore, to increase their stability, phosphorothioation is a frequent modification of therapeutic oligonucleotides (ONs) which also leads to improved binding affinity facilitating cell internalization and intracellular distribution. At the same time, by replacing a phosphodiester linkage with a phosphorothioate group, a phosphorous stereogenic center is generated which causes the formation of Rp- and Sp-diastereomers. It increases the structural diversity. For example, with 15 of those phosphorothioate (PS) linkages, 32,768 different diastereomers are expected. Since the phosphorothioate is introduced non-stereoselectively, the molecular complexity of the resultant phosphorothioate ON products is tremendously increased impeding the chromatographic separation in the course of quality control. Since distinct phosphorothioate diastereomers have different bioactivities and pharmacological properties, there is increasing interest in implications of stereoisomerism of phosphorothiate oligonucleotides. From a quality and regulatory viewpoint, batch-to-batch reproducibility of the diastereomer profile may be of significant concern. In order to address this issue, this study investigates the stereoselectivity of LC methods for two phosphorothioate oligonucleotide (PSO) compounds differing in their molecular size and numbers of PS linkages. Diastereoselectivity of ion-pairing reversed-phase liquid chromatography (IP-RPLC), RPLC without ion-pairing agents and LC with chiral polysaccharide-based column were evaluated for model PSOs and an active pharmaceutical ingredient (API) of PSO with trivalent N-acetylgalactosamine (GalNAc) conjugate. Due to the structural complexity of PSOs, the separation power for the diastereomer mixture was increased by using sequential selective comprehensive two-dimensional chromatography with an amylose tris(α-methylbenzylcarbamate)-immobilized chiral stationary phase (CSP) in the first dimension and ion-pair RPLC with ethylammonium acetate in the second dimension. Improved diastereomer selectivity was obtained and a larger number of peaks could be separated.

Impact of ion-pairing systems choice on diastereomeric selectivity of phosphorothioated oligonucleotides in reversed-phase liquid chromatography

Ion-pairing reversed-phase liquid chromatography was utilized for the analysis of native and phosphorothioated oligonucleotides differing in the length (2–6mers and 21mer) and the number and position of phosphorothioate modifications. We investigated the influence of counterion (acetate vs. hexafluoroisopropanol) on the adsorption of eleven alkylamines on the stationary phases. A stronger adsorption of charged alkylamines on octadecyl- and phenyl-based stationary phases led to greater retention of oligonucleotides, and the adsorption of alkylamines was promoted with greater concentration of hexafluoroisopropanol in the mobile phase. Selected amines (triethylamine, dipropylamine, hexylamine) were used to study the resolution of n and n-x mers (main peak and its impurities shortened at 5´end), and diastereomeric separation of phosphorothioated oligonucleotides. The results confirmed a crucial role of alkylamine and counterion choice on the diastereomeric separation. The increasing hydrophobicity of alkylamine led to diminished diastereomeric selectivity which produced narrower phosphorothioated oligonucleotides peaks and led to improved n/n-x separation. Using hexafluoroisopropanol instead of acetate as counterion further enhances this effect (except for 100 mM concentration of hexafluoroisopropanol in combination with highly hydrophobic hexylamine). The elevated column temperature led to suppression of the diastereomeric resolution and improved resolution of n and n-x mers oligonucleotides. Baseline separation of oligonucleotides with different number of phosphorothioate linkages was achieved; this may be useful for therapeutic oligonucleotide analysis.

Development and validation of an HILIC/MS/MS method for determination of nusinersen in rabbit plasma

A hydrophilic interaction liquid chromatography tandem mass spectrometry (HILIC/MS/MS) method was developed and validated for the quantitative analysis of the fully phosphorothioate modified oligonucleotide nusinersen. HILIC/MS/MS method is more robust and compatible with mass spectrometry than ion pair reversed-phase liquid chromatography-tandem mass spectrometry (IP-RP-LC/MS/MS). Various types and concentrations of additives and different pH of mobile phase affected the mass spectrometry response, chromatographic peak shape and retention of nusinersen. The optimized extraction method of nusinersen employs hydrophilic-lipophilic balance solid phase extraction, with a recovery of up to 80 %. Chromatographic quantification was performed using a gradient system on an amide column and the mobile phase consisted of ammonium acetate, acetonitrile and water in a certain proportion. The fully phosphorothioate modified nusinersen can obtain a high mass spectrometry response by providing greater peak symmetry and high ionization efficiency in a high-pH mobile phase. Moreover, the significant carry over interference was observed at the pH 6.3 of the mobile phase. Adjusting the pH value up to 10, and the carry over interference disappeared. The lower limit of quantitation of this developed HILIC/MS/MS assay was 30.0 ng/mL and the method was systematic methodology validated. This HILIC/MS/MS method provides an attractive and robust alternative for the quantitative analysis of nusinersen and was applied in the pharmacokinetic study of nusinersen in rabbits.

Analysis of Self-Assembled Micelle Inhibitory RNA (SAMiRNA) Drug Using Ion-Pairing Reversed-Phase Liquid Chromatography Combined with Mass Spectrometry.

Small interfering RNA (siRNA) is known for its ability to silence the expression of specific genes, demonstrating its promising potential as a therapeutic approach. Self-assembled micelle inhibitory RNA (SAMiRNA) is an oligonucleotide duplex developed to overcome the in vivo delivery limitations of siRNA. SAMiRNA has hydrophilic and hydrophobic groups at both ends of a sense strand, forming a spherical nanostructure that enhances the in vivo delivery efficiency. Ion-pairing reversed-phase liquid chromatography (IP-RPLC) is the most commonly used method for the analysis of oligonucleotides. Since SAMiRNA is heavily chemically modified, the behavior of SAMiRNA in IP-RPLC combined with mass spectrometry (MS) is anticipated to differ from that of the conventional siRNA drug. The current investigation using IP-RPLC-MS revealed that a distinct duplex peak along with two minor separate strands of antisense and sense was observed at column temperatures below 35 °C in the IP-RPLC system with a 100 mM ammonium bicarbonate buffer system. At column temperatures higher than 35 °C, however, two fully denatured single strands were observed. The mass spectrum from the chromatographic peak of the SAMiRNA duplex contained signals from the duplex, the antisense, and the sense, probably due to duplex denaturation during the MS ionization process. The current comprehensive analysis results will make a substantial contribution to the future application of IP-RPLC-MS in the analysis of SAMiRNA.

Stability indicating ion-pair reversed-phase liquid chromatography method for modified mRNA

Modified messenger RNA (mRNA) represents a rapidly emerging class of therapeutic drug product. Development of robust stability indicating methods for control of product quality are therefore critical to support successful pharmaceutical development. This paper presents an ion-pair reversed-phase liquid chromatography (IP-RPLC) method to characterise modified mRNA exposed to a wide set of stress-inducing conditions, relevant for pharmaceutical development of an mRNA drug product. The optimised method could be used for separation and analysis of large RNA, sized up to 1000 nucleotides. Column temperature, mobile phase flow rate and ion-pair selection were each studied and optimised. Baseline separations of the model RNA ladder sample were achieved using all examined ion-pairing agents. We established that the optimised method, using 100 mM Triethylamine, enabled the highest resolution separation for the largest fragments in the RNA ladder (750/1000 nucleotides), in addition to the highest overall resolution for the selected modified mRNA compound (eGFP mRNA, 996 nucleotides). The stability indicating power of the method was demonstrated by analysing the modified eGFP mRNA, upon direct exposure to heat, hydrolytic conditions and treatment with ribonucleases. Our results showed that the formed degradation products, which appeared as shorter RNA fragments in front of the main peak, could be well monitored, using the optimised method, and the relative stability of the mRNA under the various stressed conditions could be assessed.

Optimization of elution conditions and comparison of emerging biocompatible columns on the resolving power and detection sensitivity of oligonucleotides by ion-pairing reversed-phase liquid chromatography mass spectrometry

A generic performance comparison strategy has been developed to evaluate the impact of mobile-phase additives (ion-pairing agent / counter ion systems), distinct stationary phases on resulting resolving power, and MS detectability of oligonucleotides and their critical impurities in gradient IP-RPLC. Stationary-phase considerations included particle type (core-shell vs. fully porous particles), particle diameter, and pore size. Separations were carried out at 60°C to optimize mass transfer (C-term). The incorporation of an active column preheater mitigated thermal mismatches, leading to narrower peaks and overcoming peak splitting. Acetonitrile as organic modifier outweighed methanol in terms of peak-capacity generation and yielded a 30% lower back pressure. Performance screening experiments were conducted varying ion-pairing agents and counter ions, while adjusting gradient span achieved an equivalent effective retention window. Hexafluoromethylisopropanol yielded superior chromatographic resolution, whereas hexafluoroisopropanol yielded significantly higher MS detection sensitivity. The 1.7 µm core-shell particle columns with 100 Å pores provided maximum resolving power for small (15–35 mers) oligonucleotides. Sub-min analysis for 15–35 polyT ladders was achieved operating a 50 mm long column at the kinetic performance limits. High-resolution separations between a 21-mer modified RNA sequence oligonucleotides and its related (shortmer and phosphodiester) impurities and complementary strand were obtained using a coupled column set-up with a total length of 450 mm.

Comprehensive Impurity Profiling of mRNA: Evaluating Current Technologies and Advanced Analytical Techniques.

In vitro transcription (IVT) of mRNA is a versatile platform for a broad range of biotechnological applications. Its rapid, scalable, and cost-effective production makes it a compelling choice for the development of mRNA-based cancer therapies and vaccines against infectious diseases. The impurities generated during mRNA production can potentially impact the safety and efficacy of mRNA therapeutics, but their structural complexity has not been investigated in detail yet. This study pioneers a comprehensive profiling of IVT mRNA impurities, integrating current technologies with innovative analytical tools. We have developed highly reproducible, efficient, and stability-indicating ion-pair reversed-phase liquid chromatography and capillary gel electrophoresis methods to determine the purity of mRNA from different suppliers. Furthermore, we introduced the applicability of microcapillary electrophoresis for high-throughput (<1.5 min analysis time per sample) mRNA impurity profiling. Our findings revealed that impurities are mainly attributed to mRNA variants with different poly(A) tail lengths due to aborted additions or partial hydrolysis and the presence of double-stranded mRNA (dsRNA) byproducts, particularly the dsRNA 3'-loop back form. We also implemented mass photometry and native mass spectrometry for the characterization of mRNA and its related product impurities. Mass photometry enabled the determination of the number of nucleotides of different mRNAs with high accuracy as well as the detection of their size variants [i.e., aggregates and partial and/or total absence of the poly(A) tail], thus providing valuable information on mRNA identity and integrity. In addition, native mass spectrometry provided insights into mRNA intact mass, heterogeneity, and important sequence features such as poly(A) tail length and distribution. This study highlights the existing bottlenecks and opportunities for improvement in the analytical characterization of IVT mRNA, thus contributing to the refinement and streamlining of mRNA production, paving the way for continued advancements in biotechnological applications.

Development, validation and application of an ion-pair reversed-phase liquid chromatography-tandem mass spectrometrymethod for thequantification of nusinersen.

Background: The fully phosphorothioate-modified oligonucleotide (OGN) nusinersen has lowionization efficiency in the negative ion mode, resulting in a low mass spectrometry response. There have been no relevant reportsondeveloping a LC-MS method for thedetermination of nusinersen by optimizing mobile phasecomposition. Materials & methods: Mobile phase additives comprised of 15mM triethylamine/25mM 1,1,1,3,3,3-hexafluoro-2-propanol with apH of9.6. Nusinersen was extracted from plasma using Oasis® HLB solid-phase extraction (Waters, MA, USA). Results & conclusion: By adjusting the pH of the mobile phase to 9.6 by optimizing the type and concentration of ion-pair reagents, a high mass spectrometry response was obtained. The developed method was applied to nusinersen and met the requirements for the pharmacokinetic study of nusinersen in rabbits.

Study of nusinersen metabolites in the cerebrospinal fluid of children with spinal muscular atrophy using ultra-high-performance liquid chromatography coupled with quadrupole-time-of-flight mass spectrometry.

The study aimed to analyze nusinersen metabolites in the cerebrospinal fluid samples using ion-pair reversed-phase ultrahigh-performance liquid chromatography coupled with quadrupole time-of-flight mass spectrometry. Three different sample preparation methods were tested for extraction and purification, but solid phase extraction appeared to be the most suitable, allowing a significant sample enrichment (40-fold). This step was necessary to detect and identify metabolites of nusinersen in the cerebrospinal fluid. The developed and applied analytical procedure enabled the identification of nusinersen metabolites: sequences shorter by several nucleotides from the 3' end; shorter by several nucleotides from both the 3' and 5' ends; and some depurination products. To the best of our knowledge, this is the first report on the analysis and identification of nusinersen metabolites in cerebrospinal fluid samples taken from children with spinal muscular atrophy treated with Spinraza.

Analyzing antibiotic residues in honey samples using liquid chromatography-tandem mass spectrometry

ABSTRACT This study aimed to present a sensitive, accurate, and precise analytical method for the determination of 32 antibiotics from 5 groups (sulfonamides, macrolides, aminoglycosides, tetracyclines, and quinolones) and some individual antibiotics (lincomycin, griseofulvin, and 5-hydroxy-flunixin) in 63 honey samples collected from Tehran market. In the presented method, the samples were hydrolyzed by 1% HFBA (hepta fluoro butyric acid) in water, purified on Strata XL polymeric reversed-phase cartridges, and finally analyzed by reversed-phase ion-pair liquid chromatography-electrospray ionization tandem mass spectrometry (RP-IP-LC-ESI-MS/MS). Good performance characteristics were gained for recovery, precision, range, and linearity, the limit of detections (LODs), and the limit of quantifications (LOQs). According to the presented results and considering the absence of permissible limits for antibiotics in honey, 74.6% of the tested samples had antibiotic residues more than the LOQ of the method. The results show that the validated method is suitable for simultaneously detecting antibiotic residues in honey.

Liquid Chromatography Methods for Analysis of mRNA Poly(A) Tail Length and Heterogeneity.

Messenger RNA (mRNA) is a new class of therapeutic compounds. The current advances in mRNA technology require the development of efficient analytical methods. In this work, we describe the development of several methods for measurement of mRNA poly(A) tail length and heterogeneity. Poly(A) tail was first cleaved from mRNA with the RNase T1 enzyme. The average length of a liberated poly(A) tail was analyzed with the size exclusion chromatography method. Size heterogeneity of the poly(A) tail was estimated with high-resolution ion-pair reversed phase liquid chromatography (IP RP LC). The IP RP LC method provides resolution of poly(A) tail oligonucleotide variants up to 150 nucleotide long. Both methods use a robust ultraviolet detection suitable for mRNA analysis in quality control laboratories. The results were confirmed by the LC-mass spectrometry (LC MS) analysis of the same mRNA sample. The poly(A) tail length and heterogeneity results were in good agreement.

A single-nucleotide resolution capillary gel electrophoresis workflow for poly(A) tail characterization in the development of mRNA therapeutics and vaccines

The 3′ poly(A) tail is an important component of messenger RNA (mRNA). The length of the poly(A) tail has direct impact on the stability and translation efficiency of the mRNA molecule and is therefore considered to be a critical quality attribute (CQA) of mRNA-based therapeutics and vaccines. Various analytical methods have been developed to monitor this CQA. Methods like ion-pair reversed-phase liquid chromatography (IPRP-LC) can be used to quantify the percentage of mRNA with poly(A) tail but fail to provide further information on the actual length of poly(A). High-resolution methods such as liquid chromatography coupled with mass spectrometry (LC-MS) or next generation sequencing (NGS) can separate poly(A) tail length by one nucleotide (n/n + 1 resolution) but are complicated to implement for release testing of manufactured mRNA. In this study, a workflow utilizing capillary gel electrophoresis (CGE) for characterizing the poly(A) tail length of mRNA was developed. The CGE method demonstrated resolution comparable with the LC-MS method. With UV detection and the addition of poly(A) length markers, this method can provide poly(A) tail length information and can also provide quantitation of each poly(A) length, making it a suitable release method to monitor the CQA of poly(A) tail length.

Applicability of supercritical fluid chromatography for oligonucleotide analysis: A proof-of-concept study

We evaluated the suitability of supercritical fluid chromatography (SFC) for oligonucleotide analysis using 4-mer oligonucleotides with various phosphorothioate (PS) contents as model compounds. Column screening showed that the diol-modified column was able to separate sequences with different PS contents. Optimization of the column body and additives allowed us to analyze polar oligonucleotides using SFC. Various sequences were also analyzed using the optimized method. A good peak shape was obtained when the guanine plus cytosine content of the analyte was two or less in the 4-mer oligonucleotides. Furthermore, we found that the retention times of the selected sequences were positively correlated with polar surface areas, indicating that oligonucleotides interact with polar stationary phases. In contrast, more hydrophobic full PS sequences were retained more strongly in the diol column than the full phosphodiester (PO) sequences. This suggests that the diol column has unique selectivity for PO and PS linkages. These results indicate that SFC is potentially applicable to oligonucleotide analysis with a separation mechanism that is different from that of ion-pair reversed-phase liquid chromatography.

High-Throughput Chromatographic Separation of Oligonucleotides: A Proof of Concept Using Ultra-Short Columns.

Ion-pairing reversed-phase liquid chromatography (IP-RPLC) is the reference separation technique for characterizing oligonucleotides (ONs) and their related impurities. The aim of this study was to better understand the retention mechanism of ONs, evaluate the applicability of the linear solvent strength (LSS) retention model, and explore the potential of ultra-short columns having a length of only 5 mm for the separation of model ONs. First, the validity of the LSS model was evaluated for ONs having sizes comprised between 3 and 30 kDa, and the accuracy of retention time predictions was assessed. It was found that ONs in IP-RPLC conditions follow an "on-off" elution behavior, despite a molecular weight lower than that of proteins. For most linear gradient separation conditions, a column length between 5 and 35 mm was found to be appropriate. Ultra-short columns of only 5 mm were therefore explored to speed up separations by considering the impact of the instrumentation on the efficiency. Interestingly, the impacts of injection volume and post-column connection tubing on peak capacity were found to be negligible. Finally, it was demonstrated that longer columns would not improve selectivity or separation efficiency, but baseline separation of three model ONs mixtures was enabled in as little as 30 s on the 5 mm column. This proof-of-concept work paves the way for future investigations using more complex therapeutic ONs and their related impurities.

Pressure–Enhanced Liquid Chromatography as a Suitable Approach to Improve Selectivity for Large Molecule Separations

This work describes the application of a pressure-enhanced liquid chromatography (PE-LC) setup to tune the separation of various large molecules comprised of nucleic acids (oligonucleotides, messenger ribonucleic acid [mRNA], and deoxyribonucleic acid [DNA]). When adding pressure as a method development parameter, it indeed becomes possible to modify retention, selectivity, and peak width. As an example, the separation of oligonucleotides having sizes comprised between 40 and 100-mer in ion-pairing reversed-phase liquid chromatography (IP-RPLC) was drastically improved by using a stepwise pressure gradient to selectively shift the retention of a peak or group of peaks. Resolution was increased from 1.5 to 11.8 when setting a rapid high pressure step (twofold increased pressure) during the run. On the other hand, it was also possible to improve the separation of erythropoietin (EPO) mRNA and related impurities under ion-exchange chromatography (IEX). However, with this biomolecule, the best separation was achieved by reducing the pressure in the system. Finally, for another sample (DNA ladder) under IEX conditions, the pressure was found to have a limited impact on the overall selectivity. As highlighted in this work, pressure is an additional parameter that can be successfully used to develop LC methods of large biomolecules.

Polybutylene terephthalate-based stationary phase for ion-pair-free reversed-phase liquid chromatography of small interfering RNA. Part 1: Direct coupling with mass spectrometry

Nowadays, ion-pairing reversed-phase liquid chromatography (IP-RPLC) is the dominating generic method for the analysis of nucleic acid related compounds, such as antisense-oligonucleotides (ASO), small-interfering ribonucleic acid (siRNA) or other DNA or RNA type molecules and their conjugates. Despite of its effective performance, the usage of a high concentration of ion-pairing reagent in the eluent in IP-RPLC is unfavorable for the hyphenation with mass spectrometry (MS) which is required for a detailed structural characterization of the analytes and their structurally related impurities. In this work, we tested a polybutylene terephthalate (PBT)-bonded silica-based stationary phase for the separation of generically synthesized Patisiran as siRNA (antisense and sense single strands as well as their annealed double strand) giving some unexpected selectivity without any presence of ion-pairing reagents. Important chromatographic conditions affecting the separation have been investigated and evaluated. Furthermore, MS and tandem MS (MS/MS) characterization was possible without contamination of the MS system with ion-pair agent and related problems.

Analysis of siRNA with Denaturing and Non-Denaturing Ion-Pair Reversed-Phase Liquid Chromatography Methods

In this paper, we describe denaturing and non-denaturing ion-pair reversed-phase liquid chromatography (RPLC) methods for analyzing small interfering ribonucleic acid (siRNA). Drug formulations consisting of one or two siRNA duplexes were analyzed in non-denaturing conditions at a low column temperature to separate intact duplexes from single-stranded oligonucleotide contaminants and quantify them. In a denaturing method, we used an elevated column temperature to ensure the denaturation of siRNA duplexes into their single-stranded oligonucleotide counterparts. The goal of the denaturing LC method was to investigate the impurities in daughter oligonucleotides in siRNA. A column with chemically modified C18 column hardware showed improvements in analytical performance for nucleic acids compared to a conventional C18 stainless-steel column with the same pore size.