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Banks H, Surfaro F, Pastryk KF, Buchholz C, Zaluzhnyy IA, Gerlach A, Schreiber F. From adsorption to crystallization of proteins: Evidence for interface-assisted nucleation. Colloids Surf B Biointerfaces 2024; 241:114063. [PMID: 38954939 DOI: 10.1016/j.colsurfb.2024.114063] [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: 03/05/2024] [Revised: 04/26/2024] [Accepted: 06/25/2024] [Indexed: 07/04/2024]
Abstract
Protein crystallization is among the key processes in biomolecular research, but the underlying mechanisms are still elusive. Here, we address the role of inevitable interfaces for the nucleation process. Quartz crystal microbalance with dissipation monitoring (QCM-D) with simultaneously optical microscopy, confocal microscopy, and grazing-incidence small angle X-rays scattering (GISAXS) were employed to investigate the temporal behavior from the initial stage of protein adsorption to crystallization. Here we studied the crystallization of the Human Serum Albumin (HSA), the most abundant blood protein, in the presence of a charged surface and a trivalent salt. We found evidence for interface-assisted nucleation of crystals. The kinetic stages involved are initial adsorption followed by enhanced adsorption after longer times, subsequent nucleation, and finally crystal growth. The results highlight the importance of interfaces for protein phase behavior and in particular for nucleation.
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Affiliation(s)
- Hadra Banks
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany.
| | - Furio Surfaro
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
| | - Kai-Florian Pastryk
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
| | - Cara Buchholz
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
| | - Ivan A Zaluzhnyy
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
| | - Alexander Gerlach
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany
| | - Frank Schreiber
- Institut für Angewandte Physik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen 72076, Germany; Center for Light-Matter Interaction, Sensors & Analytics LISA+, Auf der Morgenstelle 15, Tübingen 72076, Germany
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Latag GV, Nakamura T, Palai D, Mondarte EAQ, Hayashi T. Investigation of Three-Dimensional Bacterial Adhesion Manner on Model Organic Surfaces Using Quartz Crystal Microbalance with Energy Dissipation Monitoring. ACS APPLIED BIO MATERIALS 2023; 6:1185-1194. [PMID: 36802460 PMCID: PMC10031553 DOI: 10.1021/acsabm.2c01012] [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] [Indexed: 02/22/2023]
Abstract
Bacterial biofilms reduce the performance and efficiency of biomedical and industrial devices. The initial step in forming bacterial biofilms is the weak and reversible attachment of the bacterial cells onto the surface. This is followed by bond maturation and secretion of polymeric substances, which initiate irreversible biofilm formation, resulting in stable biofilms. This implies that understanding the initial reversible stage of the adhesion process is crucial to prevent bacterial biofilm formation. In this study, we analyzed the adhesion processes of E. coli on self-assembled monolayers (SAMs) with different terminal groups using optical microscopy and quartz crystal microbalance with energy dissipation (QCM-D) monitoring. We found that a considerable number of bacterial cells adhere to hydrophobic (methyl-terminated) and hydrophilic protein-adsorbing (amine- and carboxy-terminated) SAMs forming dense bacterial adlayers while attaching weakly to hydrophilic protein-resisting SAMs [oligo(ethylene glycol) (OEG) and sulfobetaine (SB)], forming sparse but dissipative bacterial adlayers. Moreover, we observed positive shifts in the resonant frequency for the hydrophilic protein-resisting SAMs at high overtone numbers, suggesting how bacterial cells cling to the surface using their appendages as explained by the coupled-resonator model. By exploiting the differences in the acoustic wave penetration depths at each overtone, we estimated the distance of the bacterial cell body from different surfaces. The estimated distances provide a possible explanation for why bacterial cells tend to attach firmly to some surfaces and weakly to others. This result is correlated to the strength of the bacterium-substratum bonds at the interface. Elucidating how the bacterial cells adhere to different surface chemistries can be a suitable guide in identifying surfaces with a more significant probability of contamination by bacterial biofilms and designing bacteria-resistant surfaces and coatings with excellent bacterial antifouling characteristics.
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Affiliation(s)
- Glenn Villena Latag
- Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology, 4259 Nagatsuta-Cho, Midori-ku, Yokohama, Kanagawa 226-8502, Japan
| | - Taichi Nakamura
- Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology, 4259 Nagatsuta-Cho, Midori-ku, Yokohama, Kanagawa 226-8502, Japan
| | - Debabrata Palai
- Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology, 4259 Nagatsuta-Cho, Midori-ku, Yokohama, Kanagawa 226-8502, Japan
| | - Evan Angelo Quimada Mondarte
- Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology, 4259 Nagatsuta-Cho, Midori-ku, Yokohama, Kanagawa 226-8502, Japan
- School of Materials Science and Engineering, Nanyang Technological University, Singapore 639798, Singapore
| | - Tomohiro Hayashi
- Department of Materials Science and Engineering, School of Materials and Chemical Technology, Tokyo Institute of Technology, 4259 Nagatsuta-Cho, Midori-ku, Yokohama, Kanagawa 226-8502, Japan
- The Institute for Solid State Physics, The University of Tokyo, 5-1-5, Kashiwanoha, Kashiwa, Chiba 277-0882, Japan
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Min HJ, Mina HA, Deering AJ, Robinson JP, Bae E. Detection of Salmonella Typhimurium with Gold Nanoparticles Using Quartz Crystal Microbalance Biosensor. SENSORS (BASEL, SWITZERLAND) 2022; 22:8928. [PMID: 36433525 PMCID: PMC9697148 DOI: 10.3390/s22228928] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 10/12/2022] [Revised: 11/14/2022] [Accepted: 11/17/2022] [Indexed: 06/16/2023]
Abstract
Demonstration of the Salmonella Typhimurium detection system was shown utilizing a quartz crystal microbalance (QCM) biosensor and signal enhancement by gold nanoparticles. In this study, a benchtop system of a QCM biosensor was utilized for the detection of Salmonella Typhimurium. It was designed with a peristaltic pump system to achieve immobilization of antibodies, detection of Salmonella, and the addition of gold nanoparticles to the sensor. As a series of biochemical solutions were introduced to the surface, the proposed system was able to track the changes in the resonant frequency which were proportional to the variations of mass on the sensor. For antibody immobilization, polyclonal antibodies were immobilized via self-assembled monolayers to detect Salmonella O-antigen. Subsequently, Salmonella Typhimurium was detected by antibodies and the average frequency before and after detecting Salmonella was compared. The highest frequency shifts were −26.91 Hz for 109 CFU/mL while the smallest frequency shift was −3.65 Hz corresponding to 103 CFU/mL. For the specificity tests, non-Salmonella samples such as E. coli, Listeria, and Staphylococcus resulted in low cross-reactivity. For signal amplification, biotinylated antibodies reacted to Salmonella followed by streptavidin—100 nm AuNPs through biotin-avidin interaction. The frequency shifts of 103 CFU/mL showed −28.04 Hz, and consequently improved the limit of detection.
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Affiliation(s)
- Hyun Jung Min
- Applied Optics Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
| | - Hansel A. Mina
- Department of Food Science, Purdue University, West Lafayette, IN 47907, USA
| | - Amanda J. Deering
- Department of Food Science, Purdue University, West Lafayette, IN 47907, USA
| | - J. Paul Robinson
- Department of Basic Medical Sciences, Purdue University, West Lafayette, IN 47907, USA
- Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN 47907, USA
| | - Euiwon Bae
- Applied Optics Laboratory, School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907, USA
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Schofield MM, Delgado-Buscalioni R. Quantitative description of the response of finite size adsorbates on a quartz crystal microbalance in liquids using analytical hydrodynamics. SOFT MATTER 2021; 17:8160-8174. [PMID: 34525162 DOI: 10.1039/d1sm00492a] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/13/2023]
Abstract
Despite being a fundamental tool in soft matter research and biosensing, quartz crystal microbalance (QCM) analyses of discrete macromolecules in liquids so far lack a firm theoretical basis. Quite often, acoustic signals of discrete particles are qualitatively interpreted using ad hoc frameworks based on effective electrical circuits, effective springs and trapped-solvent models with many fitting parameters. Nevertheless, due to its extreme sensitivity, the QCM technique pledges to become an accurate predictive tool. Using unsteady low Reynolds hydrodynamics we derive analytical expressions for the acoustic impedance of adsorbed discrete spheres. The present approach is successfully validated against 3D simulations and a plethora of experimental results covering more than a decade of research on proteins, viruses, liposomes, and massive nanoparticles, with sizes ranging from a few to hundreds of nanometers. The agreement without fitting parameters indicates that the acoustic response is dominated by the hydrodynamic propagation of the particle surface stress over the resonator. Understanding this leading contribution is a prerequisite for deciphering the secondary contributions arising from the relevant specific molecular and physico-chemical forces.
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Affiliation(s)
- Marc Meléndez Schofield
- Departmento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, and Institute for Condensed Matter Physics, IFIMAC, Campus de Cantoblanco, Madrid 28049, Spain.
| | - Rafael Delgado-Buscalioni
- Departmento de Fisica de la Materia Condensada, Universidad Autonoma de Madrid, and Institute for Condensed Matter Physics, IFIMAC, Campus de Cantoblanco, Madrid 28049, Spain.
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Tatarko M, Spagnolo S, Oravczová V, Süle J, Hun M, Hucker A, Hianik T. Changes of Viscoelastic Properties of Aptamer-Based Sensing Layers Following Interaction with Listeria innocua. SENSORS (BASEL, SWITZERLAND) 2021; 21:5585. [PMID: 34451028 PMCID: PMC8402281 DOI: 10.3390/s21165585] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/22/2021] [Revised: 08/13/2021] [Accepted: 08/18/2021] [Indexed: 02/06/2023]
Abstract
A multiharmonic quartz crystal microbalance (QCM) has been applied to study the viscoelastic properties of the aptamer-based sensing layers at the surface of a QCM transducer covered by neutravidin following interaction with bacteria Listeria innocua. Addition of bacteria in the concentration range 5 × 103-106 CFU/mL resulted in a decrease of resonant frequency and in an increase of dissipation. The frequency decrease has been lower than one would expect considering the dimension of the bacteria. This can be caused by lower penetration depth of the acoustics wave (approximately 120 nm) in comparison with the thickness of the bacterial layer (approximately 500 nm). Addition of E. coli at the surface of neutravidin as well as aptamer layers did not result in significant changes in frequency and dissipation. Using the Kelvin-Voight model the analysis of the viscoelastic properties of the sensing layers was performed and several parameters such as penetration depth, Γ, viscosity coefficient, η, and shear modulus, μ, were determined following various modifications of QCM transducer. The penetration depth decreased following adsorption of the neutravidin layer, which is evidence of the formation of a rigid protein structure. This value did not change significantly following adsorption of aptamers and Listeria innocua. Viscosity coefficient was higher for the neutravidin layer in comparison with the naked QCM transducer in a buffer. However, a further increase of viscosity coefficient took place following attachment of aptamers suggesting their softer structure. The interaction of Listeria innocua with the aptamer layer resulted in slight decrease of viscosity coefficient. The shearing modulus increased for the neutravidin layer and decreased following aptamer adsorption, while a slight increase of µ was observed after the addition of Listeria innocua.
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Affiliation(s)
- Marek Tatarko
- Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina F1, 842 48 Bratislava, Slovakia; (M.T.); (S.S.); (V.O.)
| | - Sandro Spagnolo
- Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina F1, 842 48 Bratislava, Slovakia; (M.T.); (S.S.); (V.O.)
| | - Veronika Oravczová
- Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina F1, 842 48 Bratislava, Slovakia; (M.T.); (S.S.); (V.O.)
| | - Judit Süle
- Hungarian Dairy Research Institute Ltd., 9200 Mosonmagyaróvár, Hungary; (J.S.); (M.H.); (A.H.)
| | - Milan Hun
- Hungarian Dairy Research Institute Ltd., 9200 Mosonmagyaróvár, Hungary; (J.S.); (M.H.); (A.H.)
| | - Attila Hucker
- Hungarian Dairy Research Institute Ltd., 9200 Mosonmagyaróvár, Hungary; (J.S.); (M.H.); (A.H.)
| | - Tibor Hianik
- Department of Nuclear Physics and Biophysics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Mlynská dolina F1, 842 48 Bratislava, Slovakia; (M.T.); (S.S.); (V.O.)
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Easley AD, Ma T, Eneh CI, Yun J, Thakur RM, Lutkenhaus JL. A practical guide to quartz crystal microbalance with dissipation monitoring of thin polymer films. JOURNAL OF POLYMER SCIENCE 2021. [DOI: 10.1002/pol.20210324] [Citation(s) in RCA: 19] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
Affiliation(s)
- Alexandra D. Easley
- Department of Materials Science and Engineering Texas A&M University College Station Texas USA
| | - Ting Ma
- Artie McFerrin Department of Chemical Engineering Texas A&M University College Station Texas USA
| | - Chikaodinaka I. Eneh
- Artie McFerrin Department of Chemical Engineering Texas A&M University College Station Texas USA
| | - Junyeong Yun
- Artie McFerrin Department of Chemical Engineering Texas A&M University College Station Texas USA
| | - Ratul M. Thakur
- Artie McFerrin Department of Chemical Engineering Texas A&M University College Station Texas USA
| | - Jodie L. Lutkenhaus
- Department of Materials Science and Engineering Texas A&M University College Station Texas USA
- Artie McFerrin Department of Chemical Engineering Texas A&M University College Station Texas USA
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Vellwock AE, Yao H. Biomimetic and bioinspired surface topographies as a green strategy for combating biofouling: a review. BIOINSPIRATION & BIOMIMETICS 2021; 16:041003. [PMID: 34044382 DOI: 10.1088/1748-3190/ac060f] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/14/2021] [Accepted: 05/27/2021] [Indexed: 06/12/2023]
Abstract
Biofouling refers to the adverse attachment and colonization of fouling organisms, including macromolecules, bacteria, and sessile invertebrates, on the surfaces of materials submerged in aquatic environments. Almost all structures working in watery surroundings, from marine infrastructures to healthcare facilities, are affected by this sticky problem, resulting in massive direct and indirect economic loss and enormous cost every year in protective maintenance and remedial cleaning. Traditional approaches to preventing marine biofouling primarily rely on the application of biocide-contained paints, which certainly impose adverse effects on the ocean environment and marine ecology. Biomimicry offers an efficient shortcut to developing environmentally friendly antifouling techniques and has yielded encouraging and promising results. The antifouling strategies learned from nature can be broadly classified into two categories according to the nature of the cues applied for biofouling control. One is the chemical antifouling techniques, which are dedicated to extracting the effective antifoulant compounds from marine organisms and synthesizing chemicals mimicking natural antifoulants. In contrast, the physical biomimetic (BM) antifouling practices focus on the emulation and optimization of the physical cues such as micro and nanoscale surface topographies learned from naturally occurring surfaces for better antifouling efficacy. In this review, a synopsis of the techniques for manufacturing the BM and bioinspired (BI) antifouling surface topographies is introduced, followed by the bioassay to assess the antifouling performance of the structured surfaces. Then, the BM and BI surface topographies that were reported to possess enhanced antifouling competence are introduced, followed by a summary of theoretical modeling. The whole paper is concluded by summarizing the studies' deficiencies so far and outlooking the research directions in the future.
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Affiliation(s)
- Andre E Vellwock
- Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong SAR, People's Republic of China
| | - Haimin Yao
- Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong SAR, People's Republic of China
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QCM-D characterization of time-dependence of bacterial adhesion. ACTA ACUST UNITED AC 2019; 5:100024. [PMID: 32743140 PMCID: PMC7389184 DOI: 10.1016/j.tcsw.2019.100024] [Citation(s) in RCA: 36] [Impact Index Per Article: 7.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/16/2018] [Revised: 01/29/2019] [Accepted: 03/29/2019] [Indexed: 12/22/2022]
Abstract
Quartz crystal microbalance with dissipation monitoring (QCM-D) is becoming an increasingly popular technique that can be employed as part of experimental and modeling investigations of bacterial adhesion. The usefulness of QCM-D derives from this technique's ability to probe binding and interactions under dynamic conditions, in real time. Bacterial adhesion is an important first step in the formation of biofilms, the control of which is relevant to industries that include shipping, water purification, packaging, and biomedical devices. However, many questions remain unanswered in the bacterial adhesion process, despite extensive research in this area. With QCM-D, multiple variables affecting bacterial adhesion can be studied, including the roles of substrate composition, chemical modification, solution ionic strength, environmental temperature, shear conditions, and time. Recent studies demonstrate the utility of QCM-D in developing new bacterial adhesion models and studying different stages of biofilm formation. We provide a review of how QCM-D has been used to study bacterial adhesion at stages ranging from the first step of bacterial adhesion to mature biofilms, and how QCM-D studies are being used to promote the development of solutions to biofilm formation.
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Hellsing MS, Rennie AR, Rodal M, Höök F. Charged Polystyrene Nanoparticles Near a SiO 2/Water Interface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:222-228. [PMID: 30516387 DOI: 10.1021/acs.langmuir.8b03361] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
Quartz crystal microbalance with dissipation (QCM-D) monitoring is used to investigate the adsorption processes at liquid-solid interfaces and applied increasingly to characterize viscoelastic properties of complex liquids. Here, we contribute new insights into the latter field by using QCM-D to investigate the structure near the interface and the high-frequency viscoelastic properties of charge-stabilized polystyrene particles (radius 37 nm) dispersed in water. The study reveals changes with increasing ionic strength and particle concentration. Replacing water with a dispersion is usually expected to give rise to a decrease in frequency, f. Increases in both f and dissipation, D, were observed on exchanging pure water for particle dispersions at a low ionic strength. The QCM-D data are well-represented by a viscoelastic model, with viscosity increasing from 1.0 to 1.3 mPa s as the particle volume fraction changes from 0.005 to 0.07. This increase, higher than that predicted for noninteracting dispersions, can be explained by the charge repulsion between the particles giving rise to a higher effective volume fraction. It is concluded that the polystyrene particles did not adhere to the solid surface but rather were separated by a layer of pure dispersion medium. The QCM-D response was successfully represented using a viscoelastic Kelvin-Voigt model, from which it was concluded that the thickness of the dispersion medium layer was of the order of the particle-particle bulk separation, in the range of 50-250 nm, and observed to decrease with both particle concentration and addition of salt. Similar anomalous frequency and dissipation responses have been seen previously for systems containing weakly adherent colloidal particles and bacteria and understood in terms of coupled resonators. We demonstrate that surface attachment is not required for such phenomena to occur, but that a viscoelastic liquid separated from the oscillating surface by a thin Newtonian layer gives rise to similar responses.
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Affiliation(s)
- Maja S Hellsing
- Bioscience and Materials , RISE Research Institutes of Sweden , Box 5607, SE-114 86 Stockholm , Sweden
| | - Adrian R Rennie
- Centre for Neutron Scattering , Uppsala University , Box 516, SE-75120 Uppsala , Sweden
| | - Michael Rodal
- Biolin Scientific AB , SE-42677 Västra Frölunda , Sweden
| | - Fredrik Höök
- Department of Applied Physics , Chalmers University of Technology , SE-412 96 Göteborg , Sweden
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Tarnapolsky A, Freger V. Modeling QCM-D Response to Deposition and Attachment of Microparticles and Living Cells. Anal Chem 2018; 90:13960-13968. [PMID: 30295025 DOI: 10.1021/acs.analchem.8b03411] [Citation(s) in RCA: 42] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Quartz crystal microbalance with dissipation monitoring (QCM-D) is a powerful tool for studying adhesion, yet its use for analyzing the deposition of microparticles and living cells on surfaces has been hampered by difficulties in interpretation. Here we report a new quantitative model of QCM-D response, presented as an equivalent acoustic impedance circuit. As an essential feature, the particle interaction with surrounding fluid is modeled by relations for a freely oscillating rotating and translating sphere in an unbounded fluid, which is a valid approximation for microparticles. This helps deduce from the measured reponse the parameters pertinent to the contact mechanics. We use the model to analyze deposition of different microparticles as well as Pseudomonas fluorescens bacteria on several substrates using QCM-D combined with real-time microscopy. The parameter space is increased by varying particle type and size, substrate surface chemistry and rigidity, and ionic strength of the solution, which allows observation of diverse responses and transition from inertial to elastic loading, including rarely observed resonant regimes. Ultimately, we find that the model describes reasonably well the observed response for different microparticles and substrates, as well as for bacteria, and enables extraction of the contact characteristics in elastic and mixed loading regimes. It also reveals discrepancies between measured and anticipated parameters for large particles. The new model can be a useful tool for interpreting and quantifying QCM-D data on the adhesion of particles and living cells to surfaces, including time-dependent adhesion phenomena.
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Affiliation(s)
- Ariela Tarnapolsky
- Wolfson Department of Chemical Engineering , Technion-Israel Institute of Technology , Haifa 32000 , Israel
| | - Viatcheslav Freger
- Wolfson Department of Chemical Engineering , Technion-Israel Institute of Technology , Haifa 32000 , Israel
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