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Scher Y, Lauber Bonomo O, Pal A, Reuveni S. Microscopic theory of adsorption kinetics. J Chem Phys 2023; 158:094107. [PMID: 36889971 DOI: 10.1063/5.0121359] [Citation(s) in RCA: 3] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/11/2023] Open
Abstract
Adsorption is the accumulation of a solute at an interface that is formed between a solution and an additional gas, liquid, or solid phase. The macroscopic theory of adsorption dates back more than a century and is now well-established. Yet, despite recent advancements, a detailed and self-contained theory of single-particle adsorption is still lacking. Here, we bridge this gap by developing a microscopic theory of adsorption kinetics, from which the macroscopic properties follow directly. One of our central achievements is the derivation of the microscopic version of the seminal Ward-Tordai relation, which connects the surface and subsurface adsorbate concentrations via a universal equation that holds for arbitrary adsorption dynamics. Furthermore, we present a microscopic interpretation of the Ward-Tordai relation that, in turn, allows us to generalize it to arbitrary dimension, geometry, and initial conditions. The power of our approach is showcased on a set of hitherto unsolved adsorption problems to which we present exact analytical solutions. The framework developed herein sheds fresh light on the fundamentals of adsorption kinetics, which opens new research avenues in surface science with applications to artificial and biological sensing and to the design of nano-scale devices.
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Affiliation(s)
- Yuval Scher
- School of Chemistry, Center for the Physics and Chemistry of Living Systems, Ratner Institute for Single Molecule Chemistry, and the Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, 6997801 Tel Aviv, Israel
| | - Ofek Lauber Bonomo
- School of Chemistry, Center for the Physics and Chemistry of Living Systems, Ratner Institute for Single Molecule Chemistry, and the Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, 6997801 Tel Aviv, Israel
| | - Arnab Pal
- The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
| | - Shlomi Reuveni
- School of Chemistry, Center for the Physics and Chemistry of Living Systems, Ratner Institute for Single Molecule Chemistry, and the Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, 6997801 Tel Aviv, Israel
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Irons L, Huang H, Owen MR, O'Dea RD, Meininger GA, Brook BS. Switching behaviour in vascular smooth muscle cell-matrix adhesion during oscillatory loading. J Theor Biol 2020; 502:110387. [PMID: 32603668 DOI: 10.1016/j.jtbi.2020.110387] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/16/2020] [Revised: 06/03/2020] [Accepted: 06/18/2020] [Indexed: 11/19/2022]
Abstract
Integrins regulate mechanotransduction between smooth muscle cells (SMCs) and the extracellular matrix (ECM). SMCs resident in the walls of airways or blood vessels are continuously exposed to dynamic mechanical forces due to breathing or pulsatile blood flow. However, the resulting effects of these forces on integrin dynamics and associated cell-matrix adhesion are not well understood. Here we present experimental results from atomic force microscopy (AFM) experiments, designed to study the integrin response to external oscillatory loading of varying amplitudes applied to live aortic SMCs, together with theoretical results from a mathematical model. In the AFM experiments, a fibronectin-coated probe was used cyclically to indent and retract from the surface of the cell. We observed a transition between states of firm adhesion and of complete detachment as the amplitude of oscillatory loading increased, revealed by qualitative changes in the force timecourses. Interestingly, for some of the SMCs in the experiments, switching behaviour between the two adhesion states is observed during single timecourses at intermediate amplitudes. We obtain two qualitatively similar adhesion states in the mathematical model, where we simulate the cell, integrins and ECM as an evolving system of springs, incorporating local integrin binding dynamics. In the mathematical model, we observe a region of bistability where both the firm adhesion and detachment states can occur depending on the initial adhesion state. The differences are seen to be a result of mechanical cooperativity of integrins and cell deformation. Switching behaviour is a phenomenon associated with bistability in a stochastic system, and bistability in our deterministic mathematical model provides a potential physical explanation for the experimental results. Physiologically, bistability provides a means for transient mechanical stimuli to induce long-term changes in adhesion dynamics-and thereby the cells' ability to transmit force-and we propose further experiments for testing this hypothesis.
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Affiliation(s)
- Linda Irons
- Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom.
| | - Huang Huang
- Dalton Cardiovascular Research Center, Department of Medical Pharmacology and Physiology, University of Missouri, Columbia, MO, United States
| | - Markus R Owen
- Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom
| | - Reuben D O'Dea
- Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom
| | - Gerald A Meininger
- Dalton Cardiovascular Research Center, Department of Medical Pharmacology and Physiology, University of Missouri, Columbia, MO, United States
| | - Bindi S Brook
- Centre for Mathematical Medicine and Biology, School of Mathematical Sciences, University of Nottingham, Nottingham, United Kingdom
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3
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Liu H, Krajcikova D, Wang N, Zhang Z, Wang H, Barak I, Tang J. Forces and Kinetics of the Bacillus subtilis Spore Coat Proteins CotY and CotX Binding to CotE Inspected by Single Molecule Force Spectroscopy. J Phys Chem B 2016; 120:1041-7. [DOI: 10.1021/acs.jpcb.5b11344] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Huiqing Liu
- State
Key Laboratory of Electroanalytical Chemistry, Changchun Institute
of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, P. R. China
- University of Chinese Academy of Sciences, Beijing, 100049, P. R. China
| | - Daniela Krajcikova
- Institute
of Molecular Biology, Slovak Academy of Sciences, Dubravska cesta
21, Bratislava 845 51, Slovakia
| | - Nan Wang
- State
Key Laboratory of Electroanalytical Chemistry, Changchun Institute
of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, P. R. China
- University of Chinese Academy of Sciences, Beijing, 100049, P. R. China
| | - Zhe Zhang
- State
Key Laboratory of Electroanalytical Chemistry, Changchun Institute
of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, P. R. China
| | - Hongda Wang
- State
Key Laboratory of Electroanalytical Chemistry, Changchun Institute
of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, P. R. China
| | - Imrich Barak
- Institute
of Molecular Biology, Slovak Academy of Sciences, Dubravska cesta
21, Bratislava 845 51, Slovakia
| | - Jilin Tang
- State
Key Laboratory of Electroanalytical Chemistry, Changchun Institute
of Applied Chemistry, Chinese Academy of Sciences, Changchun, 130022, P. R. China
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Casalini S, Dumitru AC, Leonardi F, Bortolotti CA, Herruzo ET, Campana A, de Oliveira RF, Cramer T, Garcia R, Biscarini F. Multiscale sensing of antibody-antigen interactions by organic transistors and single-molecule force spectroscopy. ACS NANO 2015; 9:5051-62. [PMID: 25868724 DOI: 10.1021/acsnano.5b00136] [Citation(s) in RCA: 56] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/04/2023]
Abstract
Antibody-antigen (Ab-Ag) recognition is the primary event at the basis of many biosensing platforms. In label-free biosensors, these events occurring at solid-liquid interfaces are complex and often difficult to control technologically across the smallest length scales down to the molecular scale. Here a molecular-scale technique, such as single-molecule force spectroscopy, is performed across areas of a real electrode functionalized for the immunodetection of an inflammatory cytokine, viz. interleukin-4 (IL4). The statistical analysis of force-distance curves allows us to quantify the probability, the characteristic length scales, the adhesion energy, and the time scales of specific recognition. These results enable us to rationalize the response of an electrolyte-gated organic field-effect transistor (EGOFET) operated as an IL4 immunosensor. Two different strategies for the immobilization of IL4 antibodies on the Au gate electrode have been compared: antibodies are bound to (i) a smooth film of His-tagged protein G (PG)/Au; (ii) a 6-aminohexanethiol (HSC6NH2) self-assembled monolayer on Au through glutaraldehyde. The most sensitive EGOFET (concentration minimum detection level down to 5 nM of IL4) is obtained with the first functionalization strategy. This result is correlated to the highest probability (30%) of specific binding events detected by force spectroscopy on Ab/PG/Au electrodes, compared to 10% probability on electrodes with the second functionalization. Specifically, this demonstrates that Ab/PG/Au yields the largest areal density of oriented antibodies available for recognition. More in general, this work shows that specific recognition events in multiscale biosensors can be assessed, quantified, and optimized by means of a nanoscale technique.
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Affiliation(s)
- Stefano Casalini
- †Dipartimento di Scienze della Vita, Università degli Studi di Modena e Reggio Emilia, Via Campi 183, 41125 Modena, Italy
| | - Andra C Dumitru
- ‡Instituto de Ciencia de Materiales de Madrid (CSIC), 28049 Madrid, Spain
| | | | - Carlo A Bortolotti
- †Dipartimento di Scienze della Vita, Università degli Studi di Modena e Reggio Emilia, Via Campi 183, 41125 Modena, Italy
| | - Elena T Herruzo
- ‡Instituto de Ciencia de Materiales de Madrid (CSIC), 28049 Madrid, Spain
| | - Alessandra Campana
- ⊥"Alma Mater Studiorum", Dipartimento di Chimica "G. Ciamician", Università di Bologna, Via Selmi 2, 40126 Bologna, Italy
| | - Rafael F de Oliveira
- †Dipartimento di Scienze della Vita, Università degli Studi di Modena e Reggio Emilia, Via Campi 183, 41125 Modena, Italy
- #Unesp, Postgraduate Program in Materials Science and Technology, São Paulo State University, 17033-360, Bauru, SP Brazil
| | - Tobias Cramer
- ∞"Alma Mater Studiorum", Dipartimento di Fisica e Astronomia, Università di Bologna, Viale Berti Pichat 6/2, 40127 Bologna, Italy
| | - Ricardo Garcia
- ‡Instituto de Ciencia de Materiales de Madrid (CSIC), 28049 Madrid, Spain
| | - Fabio Biscarini
- †Dipartimento di Scienze della Vita, Università degli Studi di Modena e Reggio Emilia, Via Campi 183, 41125 Modena, Italy
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