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Miyagawa A, Kuno H, Nagatomo S, Nakatani K. Evolution of myoglobin diffusion mechanisms: exploring pore and surface diffusion in a single silica particle. ANAL SCI 2024; 40:1545-1551. [PMID: 38652419 DOI: 10.1007/s44211-024-00575-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/28/2024] [Accepted: 04/04/2024] [Indexed: 04/25/2024]
Abstract
This study elucidates the mass transfer mechanism of myoglobin (Mb) within a single silica particle with a 50 nm pore size at various pH levels (6.0, 6.5, 6.8, and 7.0). Investigation of Mb distribution ratio (R) and distribution kinetics was conducted using absorption microspectroscopy. The highest R was observed at pH 6.8, near the isoelectric point of Mb, as the electrostatic repulsion between Mb molecules on the silica surface decreased. The time-course absorbance of Mb in the silica particle was rigorously analyzed based on a first-order reaction, yielding the intraparticle diffusion coefficient of Mb (Dp). Dp-(1 + R)-1 plots at different pH values were evaluated using the pore and surface diffusion model. Consequently, we found that at pH 6.0, Mb diffused in the silica particle exclusively through surface diffusion, whereas pore diffusion made a more substantial contribution at higher pH. Furthermore, we demonstrated that Mb diffusion was hindered by slow desorption, associated with the electrostatic charge of Mb. This comprehensive analysis provides insights into the diffusion mechanisms of Mb at acidic, neutral, and basic pH conditions.
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Affiliation(s)
- Akihisa Miyagawa
- Department of Chemistry, Institute of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan
| | - Hatsuhi Kuno
- Department of Chemistry, Institute of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan
| | - Shigenori Nagatomo
- Department of Chemistry, Institute of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan.
| | - Kiyoharu Nakatani
- Department of Chemistry, Institute of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan.
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Miyagawa A, Nakatani K. Kinetic detection of hydrogen peroxide in single horseradish peroxidase-concentrated silica particle using confocal fluorescence microspectroscopic measurement. Talanta 2024; 273:125925. [PMID: 38527412 DOI: 10.1016/j.talanta.2024.125925] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2023] [Revised: 03/11/2024] [Accepted: 03/13/2024] [Indexed: 03/27/2024]
Abstract
In the present study, we propose a scheme for detecting H2O2 by using horseradish peroxidase (HRP) adsorbed onto single silica particles and fluorescence microspectroscopy. When the silica particles were immersed in an HRP solution, the HRP concentration in the silica particles increased by a factor of 690 compared to that in the bulk aqueous solution because HRP was adsorbed on the silica surface. When a single particle containing HRP was added to a mixed solution of H2O2 and Amplex Red, fluorescence from resorufin, which was produced by the reaction of HRP, H2O2, and Amplex Red, was observed. The fluorescence from the resorufin in the particles increased after a single particle was added to the solution, and the release of resorufin was observed. As the concentration of H2O2 (CH2O2) decreased, the time it takes for fluorescence intensity to reach its maximum was shorter. The detection limit for H2O2 in the present system was 980 nM. The reaction behavior of a single silica particle was evaluated using a spherical diffusion model, which explains the approximate concentration change of resorufin in the silica particle. The proposed method has the advantages of simple sample preparation and detection, low sample consumption, and a short detection time.
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Affiliation(s)
- Akihisa Miyagawa
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan.
| | - Kiyoharu Nakatani
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan
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Silva TC, Eppink M, Ottens M. Digital twin in high throughput chromatographic process development for monoclonal antibodies. J Chromatogr A 2024; 1717:464672. [PMID: 38350166 DOI: 10.1016/j.chroma.2024.464672] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/10/2023] [Revised: 01/14/2024] [Accepted: 01/21/2024] [Indexed: 02/15/2024]
Abstract
The monoclonal antibody (mAb) industry is becoming increasingly digitalized. Digital twins are becoming increasingly important to test or validate processes before manufacturing. High-Throughput Process Development (HTPD) has been progressively used as a tool for process development and innovation. The combination of High-Throughput Screening with fast computational methods allows to study processes in-silico in a fast and efficient manner. This paper presents a hybrid approach for HTPD where equal importance is given to experimental, computational and decision-making stages. Equilibrium adsorption isotherms of 13 protein A and 16 Cation-Exchange resins were determined with pure mAb. The influence of other components in the clarified cell culture supernatant (harvest) has been under-investigated. This work contributes with a methodology for the study of equilibrium adsorption of mAb in harvest to different protein A resins and compares the adsorption behavior with the pure sample experiments. Column chromatography was modelled using a Lumped Kinetic Model, with an overall mass transfer coefficient parameter (kov). The screening results showed that the harvest solution had virtually no influence on the adsorption behavior of mAb to the different protein A resins tested. kov was found to have a linear correlation with the sample feed concentration, which is in line with mass transfer theory. The hybrid approach for HTPD presented highlights the roles of the computational, experimental, and decision-making stages in process development, and how it can be implemented to develop a chromatographic process. The proposed white-box digital twin helps to accelerate chromatographic process development.
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Affiliation(s)
- Tiago Castanheira Silva
- Department of Biotechnology, Delft University of Technology, van der Maasweg 9, Delft, 2629 HZ, the Netherlands
| | - Michel Eppink
- Downstream Processing, Byondis B.V., Microweg 22, 6503 GB, Nijmegen, the Netherlands; Bioprocessing Engineering, Wageningen University, Droevendaalse steeg 1, 6708 PB, Wageningen, the Netherlands
| | - Marcel Ottens
- Department of Biotechnology, Delft University of Technology, van der Maasweg 9, Delft, 2629 HZ, the Netherlands.
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Bezrukov A, Galyametdinov Y. Tuning Properties of Polyelectrolyte-Surfactant Associates in Two-Phase Microfluidic Flows. Polymers (Basel) 2022; 14:5480. [PMID: 36559847 PMCID: PMC9788532 DOI: 10.3390/polym14245480] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/27/2022] [Revised: 12/07/2022] [Accepted: 12/09/2022] [Indexed: 12/23/2022] Open
Abstract
This work focuses on identifying and prioritizing factors that allow control of the properties of polyelectrolyte-surfactant complexes in two-phase microfluidic confinement and provide advantages over synthesis of such complexes in macroscopic conditions. We characterize the impact of polymer and surfactant aqueous flow conditions on the formation of microscale droplets and fluid threads in the presence of an immiscible organic solvent. We perform an experimental and selected numerical analysis of fast supramolecular reactions in droplets and threads. The work offers a quantitative control over properties of polyelectrolyte-surfactant complexes produced in two-phase confinement by varying capillary numbers and the ratio of aqueous and organic flowrates. We propose a combined thread-droplet mode to synthesize polyelectrolyte-surfactant complexes. This mode allows the production of complexes in a broader size range of R ≈ 70-200 nm, as compared with synthesis in macroscopic conditions and the respective sizes R ≈ 100-120 nm. Due to a minimized impact of undesirable post-chip reactions and ordered microfluidic confinement conditions, the dispersity of microfluidic aggregates (PDI = 0.2-0.25) is lower than that of their analogs synthesized in bulk (PDI = 0.3-0.4). The proposed approach can be used for tailored synthesis of target drug delivery polyelectrolyte-surfactant systems in lab-on-chip devices for biomedical applications.
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Affiliation(s)
- Artem Bezrukov
- Department of Physical and Colloid Chemistry, Kazan National Research Technological University, 420015 Kazan, Russia
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Kusova AM, Sitnitsky AE, Uversky VN, Zuev YF. Effect of Protein–Protein Interactions on Translational Diffusion of Spheroidal Proteins. Int J Mol Sci 2022; 23:ijms23169240. [PMID: 36012504 PMCID: PMC9409276 DOI: 10.3390/ijms23169240] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/26/2022] [Revised: 08/08/2022] [Accepted: 08/14/2022] [Indexed: 11/21/2022] Open
Abstract
One of the commonly accepted approaches to estimate protein–protein interactions (PPI) in aqueous solutions is the analysis of their translational diffusion. The present review article observes a phenomenological approach to analyze PPI effects via concentration dependencies of self- and collective translational diffusion coefficient for several spheroidal proteins derived from the pulsed field gradient NMR (PFG NMR) and dynamic light scattering (DLS), respectively. These proteins are rigid globular α-chymotrypsin (ChTr) and human serum albumin (HSA), and partly disordered α-casein (α-CN) and β-lactoglobulin (β-Lg). The PPI analysis enabled us to reveal the dominance of intermolecular repulsion at low ionic strength of solution (0.003–0.01 M) for all studied proteins. The increase in the ionic strength to 0.1–1.0 M leads to the screening of protein charges, resulting in the decrease of the protein electrostatic potential. The increase of the van der Waals potential for ChTr and α-CN characterizes their propensity towards unstable weak attractive interactions. The decrease of van der Waals interactions for β-Lg is probably associated with the formation of stable oligomers by this protein. The PPI, estimated with the help of interaction potential and idealized spherical molecular geometry, are in good agreement with experimental data.
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Affiliation(s)
- Aleksandra M. Kusova
- Kazan Institute of Biochemistry and Biophysics, FRC Kazan Scientific Center, Russian Academy of Sciences, Lobachevsky Str., 2/31, 420111 Kazan, Russia
| | - Aleksandr E. Sitnitsky
- Kazan Institute of Biochemistry and Biophysics, FRC Kazan Scientific Center, Russian Academy of Sciences, Lobachevsky Str., 2/31, 420111 Kazan, Russia
| | - Vladimir N. Uversky
- Department of Molecular Medicine and Byrd Alzheimer’s Research Institute, Morsani College of Medicine, University of South Florida, 12901 Bruce B. Downs Blvd., MDC07, Tampa, FL 33612, USA
| | - Yuriy F. Zuev
- Kazan Institute of Biochemistry and Biophysics, FRC Kazan Scientific Center, Russian Academy of Sciences, Lobachevsky Str., 2/31, 420111 Kazan, Russia
- Correspondence: ; Tel.: +7-(843)-2319036
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Identification and Tetramer Structure of Hemin-Binding Protein SPD_0310 Linked to Iron Homeostasis and Virulence of Streptococcus pneumoniae. mSystems 2022; 7:e0022122. [PMID: 35414267 PMCID: PMC9238395 DOI: 10.1128/msystems.00221-22] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
Abstract
Iron and iron-containing compounds are essential for bacterial virulence and host infection. Hemin is an important supplement compound for bacterial survival in an iron-deficient environment. Despite strong interest in hemin metabolism, the detailed mechanism of hemin transportation in Gram-positive bacteria is yet to be reported. The results of our study revealed that the homologous proteins of SPD_0310 were significantly conservative in Gram-positive bacteria (P < 0.001), and these proteins were identified as belonging to an uncharacterized protein family (UPF0371). The results of thermodynamic and kinetic studies have shown that SPD_0310 has a high hemin-binding affinity. Interestingly, we found that the crystal structure of SPD_0310 presented a homotetramer conformation, which is required for hemin binding. SPD_0310 can interact with many hemin-binding proteins (SPD_0090, SPD_1609, and GAPDH) located on the cell surface, which contributes to hemin transfer to the cytoplasm. It also has a high affinity with other iron transporters in the cytoplasm (SPD_0226 and SPD_0227), which facilitates iron redistribution in cells. More importantly, the knockout of the spd_0310 gene (Δspd_0310) resulted in a decrease in the iron content and protein expression levels of many bacterial adhesion factors. Moreover, the animal model showed that the Δspd_0310 strain has a lower virulence than the wild type. Based on the crystallographic and biochemical studies, we inferred that SPD_0310 is a hemin intermediate transporter which contributes to iron homeostasis and further affects the virulence of Streptococcus pneumoniae in the host. Our study provides not only an important theoretical basis for the in-depth elucidation of the hemin transport mechanism in bacteria but also an important candidate target for the development of novel antimicrobial agents based on metal transport systems. IMPORTANCE Iron is an essential element for bacterial virulence and infection of the host. The detailed hemin metabolism in Gram-positive bacteria has rarely been studied. SPD_0310 belongs to the UPF0371 family of proteins, and results of homology analysis and evolutionary tree analysis suggested that it was widely distributed and highly conserved in Gram-positive bacteria. However, the function of the UPF0371 family remains unknown. We successfully determined the crystal structure of apo-SPD_0310, which is a homotetramer. We found that cytoplasmic protein SPD_0310 with a special tetramer structure has a strong hemin-binding ability and interacts with many iron transporters, which facilitates hemin transfer from the extracellular space to the cytoplasm. The results of detailed functional analyses indicated that SPD_0310 may function as a hemin transporter similar to hemoglobin in animals and contributes to bacterial iron homeostasis and virulence. This study provides a novel target for the development of antimicrobial drugs against pathogenic Gram-positive bacteria.
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Wanselius M, Searle S, Rodler A, Tenje M, Abrahmsén-Alami S, Hansson P. Microfluidics Platform for Studies of Peptide – Polyelectrolyte Interaction. Int J Pharm 2022; 621:121785. [DOI: 10.1016/j.ijpharm.2022.121785] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/26/2022] [Revised: 04/12/2022] [Accepted: 04/26/2022] [Indexed: 02/01/2023]
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Lou H, Hageman MJ. Investigating protein diffusivities in diluted hyaluronic acid solutions using dynamic light scattering. ANALYTICAL METHODS : ADVANCING METHODS AND APPLICATIONS 2022; 14:241-249. [PMID: 35005754 DOI: 10.1039/d1ay01832a] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/14/2023]
Abstract
This study aimed to investigate the diffusivities of lysozyme (LYS), ovalbumin (OVA), and hyaluronic acid (HA) in buffered solvents using dynamic light scattering (DLS). For protein/solvent and HA/solvent binary systems, the diffusion coefficients of protein or HA were obtained from autocorrelation function (ACF) curve fitting. Whereas, for protein/HA/solvent ternary systems, the two eigenvalues of the mutual diffusion coefficient matrix were obtained from ACF curve fitting. The results of binary systems showed that at low ionic strength, the diffusion coefficients of protein and HA increased linearly with concentration; at high ionic strength, the diffusion coefficients of OVA and LYS were independent on protein concentration; for HA, the positive linear relationship between diffusion coefficient and concentration existed at high and low ionic strengths, but the slope at high ionic strength was smaller compared to that at low ionic strength. For OVA/HA/solvent ternary systems, the sum of two eigenvalues (D1DLS + D2DLS) was slightly smaller compared to (DOVA + DHA), where DOVA and DHA were the diffusion coefficients in their binary systems. On the contrary, for LYS/HA/solvent ternary systems, (D1DLS + D2DLS) were significantly smaller than (DLYS + DHA) and the diffusion coefficients in binary and ternary systems exhibited an opposite trend with respect to ionic strength change. The DLS and MD simulation results indicated strong attractive intermolecular interaction existed between LYS and HA molecules, especially at low ionic strength. By using DLS, it was possible to characterize the diffusion coefficients of diluted protein/HA binary and ternary systems.
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Affiliation(s)
- Hao Lou
- Department of Pharmaceutical Chemistry, University of Kansas, Lawrence, KS, 66047, USA.
- Biopharmaceutical Innovation and Optimization Center, University of Kansas, Lawrence, KS, 66047, USA
| | - Michael J Hageman
- Department of Pharmaceutical Chemistry, University of Kansas, Lawrence, KS, 66047, USA.
- Biopharmaceutical Innovation and Optimization Center, University of Kansas, Lawrence, KS, 66047, USA
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Das TK, Chou DK, Jiskoot W, Arosio P. Nucleation in protein aggregation in biotherapeutic development: a look into the heart of the event. J Pharm Sci 2022; 111:951-959. [DOI: 10.1016/j.xphs.2022.01.017] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/25/2021] [Revised: 01/24/2022] [Accepted: 01/24/2022] [Indexed: 12/26/2022]
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Bezrukov A, Galyametdinov Y. Characterizing properties of polymers and colloids by their reaction-diffusion behavior in microfluidic channels. Colloids Surf A Physicochem Eng Asp 2021. [DOI: 10.1016/j.colsurfa.2021.127565] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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Miyagawa A, Nagatomo S, Kazami H, Terada T, Nakatani K. Kinetic Analysis of the Mass Transfer of Zinc Myoglobin in a Single Mesoporous Silica Particle by Confocal Fluorescence Microspectroscopy. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2021; 37:12697-12704. [PMID: 34672614 DOI: 10.1021/acs.langmuir.1c02127] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
The adsorption/desorption mechanisms of biomolecules in porous materials have attracted significant attention because of their applications in many fields, including environmental, medical, and industrial sciences. Here, we employ confocal fluorescence microspectroscopy to reveal the diffusion behavior of zinc myoglobin (ZnMb, 4.4 nm × 4.4 nm × 2.5 nm) as a spherical protein in a single mesoporous silica particle (pore size of 15 nm). The measurement of the time course of the fluorescence depth profile of the particle reveals that intraparticle diffusion is the rate-limiting process of ZnMb in the particle. The diffusion coefficients of ZnMb in the particle for the distribution (Ddis) and release (Dre) processes are determined from the rate constants, e.g., Ddis = 1.65 × 10-10 cm2 s-1 and Dre = 3.68 × 10-10 cm2 s-1, for a 10 mM buffer solution. The obtained D values for various buffer concentrations are analyzed using the pore and surface diffusion model. Although surface diffusion is the main distribution process, the release process involves pore and surface diffusion, which have not been observed with small organic molecules; the mechanism of transfer of small molecules is pore diffusion alone. We demonstrate that the mass transfer kinetics of ZnMb in the silica particle can be explained well on the basis of pore and surface diffusion.
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Affiliation(s)
- Akihisa Miyagawa
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
| | - Shigenori Nagatomo
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
| | - Hiroaki Kazami
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
| | - Takuto Terada
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
| | - Kiyoharu Nakatani
- Department of Chemistry, Faculty of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan
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Dynamic adsorption and interfacial rheology of whey protein isolate at oil-water interfaces: Effects of protein concentration, pH and heat treatment. Food Hydrocoll 2021. [DOI: 10.1016/j.foodhyd.2021.106640] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/18/2022]
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Silva-Vera W, Ramírez C, Pinto M, Simpson R, Almonacid S. Anisotropic diffusion assessment in salmon (salmo salar) composite muscle tissue: Theoretical and image-processing experimental approaches. FOOD AND BIOPRODUCTS PROCESSING 2020. [DOI: 10.1016/j.fbp.2020.06.004] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Begam N, Da Vela S, Matsarskaia O, Braun MK, Mariani A, Zhang F, Schreiber F. Packing and dynamics of a protein solution approaching the jammed state. SOFT MATTER 2020; 16:7751-7759. [PMID: 32744265 DOI: 10.1039/d0sm00962h] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The packing of proteins and their collective behavior in crowded media is crucial for the understanding of biological processes. Here we study the structural and dynamical evolution of solutions of the globular protein bovine serum albumin with increasing concentration via drying using small angle X-ray scattering and dynamic light scattering. We probe an evolving correlation peak on the scattering profile, corresponding to the inter-protein distance, ξ, which decreases following a power law of the protein volume fraction, φ. The rate of decrease in ξ becomes faster above a protein concentration of ∼200 mg ml-1 (φ = 0.15). The power law exponent changes from 0.33, which is typical of colloidal or protein solutions, to 0.41. During the entire drying process, we observe the development and the growth of two-step relaxation dynamics with increasing φ as revealed by dynamic light scattering. We find three different regimes of the dependence of ξ as a function of φ. In the dilute regime (φ < 0.22), protein molecules are far apart from each other compared to their size. In this case, the dynamics mainly corresponds to Brownian motion. At an intermediate concentration (0.22 < φ < 0.47), inter-protein distances become comparable to the size of protein molecules, leading to a preferential orientation of the ellipsoidal protein molecules along with a possible deformation. In this regime, the dynamics shows two distinct relaxation times. At a very high concentration (φ > 0.47), the system reaches a jammed state. Subsequently, the secondary relaxation time in this state becomes extremely slow. In this state, the protein molecules have approximately one hydration layer. This study contributes to the understanding of protein molecular packing in crowded environments and the phenomenon of density-driven jamming for soft matter systems.
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Affiliation(s)
- Nafisa Begam
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
| | - Stefano Da Vela
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
| | - Olga Matsarskaia
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
| | - Michal K Braun
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
| | - Alessandro Mariani
- ESRF-The European Synchrotron, 71 Avenue des Martyrs, 38000, Grenoble, France
| | - Fajun Zhang
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
| | - Frank Schreiber
- Institut für Angewandte Physik, Universtitat Tübingen, 70276, Tübingen, Germany.
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