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Lesniewska N, Beaussart A, Duval JF. Electrostatics of soft (bio)interfaces: Corrections of mean-field Poisson-Boltzmann theory for ion size, dielectric decrement and ion-ion correlation. J Colloid Interface Sci 2023; 642:154-168. [PMID: 37003010 DOI: 10.1016/j.jcis.2023.03.027] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/14/2022] [Revised: 02/24/2023] [Accepted: 03/02/2023] [Indexed: 03/28/2023]
Abstract
HYPOTHESIS Electrostatics of soft (ion-permeable) (bio)particles (e.g. microorganisms, core/shell colloids) in aqueous electrolytes is commonly formulated by the mean-field Poisson-Boltzmann theory and integration of the charge contributions from electrolyte ions and soft material. However, the effects connected to the size of the electrolyte ions and that of the structural charges carried by the particle, to dielectric decrement and ion-ion correlations on soft interface electrostatics have been so far considered at the margin, despite the limits of the Gouy theory for condensed and/or multivalent electrolytes. EXPERIMENTS Accordingly, we modify herein the Poisson-Boltzmann theory for core/shell (bio)interfaces to include the aforementioned molecular effects considered separately or concomitantly. The formalism is applicable for poorly to highly charged particles in the thin electric double layer regime and to unsymmetrical multivalent electrolytes. FINDINGS Computational examples of practical interests are discussed with emphasis on how each considered molecular effect or combination thereof affects the interfacial potential distribution depending on size and valence of cations and anions, size of particle charges, length scale of ionic correlations and shell-to-Debye layer thickness ratio. The origins of here-evidenced pseudo-harmonic potential profile and ion size-dependent screening of core/shell particle charges are detailed. In addition, the existence and magnitude of the Donnan potential when reached in the shell layer are shown to depend on the excluded volumes of the electrolyte ions.
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Zimmermann R, Duval JF, Werner C, Sterling JD. Quantitative insights into electrostatics and structure of polymer brushes from microslit electrokinetic experiments and advanced modelling of interfacial electrohydrodynamics. Curr Opin Colloid Interface Sci 2022. [DOI: 10.1016/j.cocis.2022.101590] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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Ion partitioning effect on the electrostatic interaction between two charged soft surfaces. Colloids Surf A Physicochem Eng Asp 2021. [DOI: 10.1016/j.colsurfa.2021.127296] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Sterling JD, Jiang W, Botello-Smith WM, Luo YL. Ion Pairing and Dielectric Decrement in Glycosaminoglycan Brushes. J Phys Chem B 2021; 125:2771-2780. [PMID: 33662212 DOI: 10.1021/acs.jpcb.0c11571] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
Cell-surface polysaccharides are essential to many aspects of physiology, serving as a highly conserved evolutionary feature of life and as an important part of the innate immune system in mammals. Here, as simplified biophysical models of these sugar coatings, we present results of molecular dynamics simulations of hyaluronic acid and heparin brushes that show important effects of ion pairing, water dielectric decrease, and coion exclusion. As in prior studies of macromolecular crowding under physiologically relevant salt concentrations, our results show equilibria with electroneutrality attained through screening and pairing of brush anionic charges by monovalent cations at the atomistic detail. Most surprising is the reversal of the Donnan potential obtained from both nonpolarizable and Drude polarizable force fields, in contrast to what would be expected based on electrostatic Boltzmann partitioning alone. Water dielectric decrement within the brush domain is also associated with Born hydration-driven cation exclusion from the brush. We observe that the primary partition energy attracting cations to attain brush electroneutrality is the ion pairing or salt-bridge energy. Potassium and sodium pairings to glycosaminoglycan carboxylates and sulfates show similar abundance of contact-pairing and solvent-separated pairing. We conclude that in these crowded macromolecular brushes, ion-pairing, Born-hydration, and electrostatic potential energies all contribute to attain electroneutrality and should therefore contribute in mean-field models to accurately represent brush electrostatics.
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Affiliation(s)
- James D Sterling
- Henry E. Riggs School of Applied Life Sciences, Keck Graduate Institute, 535 Watson Dr., Claremont, California 91711, United States
| | - Wenjuan Jiang
- College of Pharmacy, Western University of Health Sciences, 309 E. Second Street, Pomona, California 91766, United States
| | - Wesley M Botello-Smith
- College of Pharmacy, Western University of Health Sciences, 309 E. Second Street, Pomona, California 91766, United States
| | - Yun L Luo
- College of Pharmacy, Western University of Health Sciences, 309 E. Second Street, Pomona, California 91766, United States
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Zhou T, Deng L, Shi L, Li T, Zhong X, Wen L. Brush Layer Charge Characteristics of a Biomimetic Polyelectrolyte-Modified Nanoparticle Surface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:15220-15229. [PMID: 33305573 DOI: 10.1021/acs.langmuir.0c02417] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
Nanoparticle surface charge regulation technology plays an important role in ion rectification, drug delivery, and cell biology. The biomimetic polyelectrolyte can be combined with nanoparticles by nanomodification technology to form a layer of coating, which is called the brush layer of nanoparticles. In this study, based on the Poisson-Nernst-Planck (PNP) equation system, a theoretical model considering a bionic electrolyte brush layer with charge density regulated by a chemical reaction is constructed. The charge properties of brushed nanoparticles are studied by changing the sizes of nanoparticles, the pH value of the solution, background salt solution concentration, and brush layer thickness. The result shows that the charge density of brushed nanoparticles increases with the increase of particle size. The isoelectric point (IEP) of the equilibrium reaction against the brush layer is pH = 5.5. When the pH < 5.5, the charge density of the particle brush layers decreases with the increase of pH, and when the pH > 5.5, the charge density of the particle brush layer increases with the increase of pH. By comparing the charge density of different brush thicknesses, it is found that the larger the brush thickness, the smaller the charge density of the brush layer. This research provides theoretical support for the change of the through pore velocity when macromolecular organic compounds pass through nanopores.
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Affiliation(s)
- Teng Zhou
- Mechanical and Electrical Engineering College, Hainan University, Haikou, 570228 Hainan, China
| | - Luyu Deng
- Mechanical and Electrical Engineering College, Hainan University, Haikou, 570228 Hainan, China
| | - Liuyong Shi
- Mechanical and Electrical Engineering College, Hainan University, Haikou, 570228 Hainan, China
| | - Ting Li
- Institute of Biomedical Engineering, Chinese Academy of Medical Science and Peking Union Medical Collage, Tianjin 100730, China
| | - Xiangtao Zhong
- Mechanical and Electrical Engineering College, Hainan University, Haikou, 570228 Hainan, China
| | - Liping Wen
- CAS Key Laboratory of Bio-Inspired Materials and Interfacial Science, Technical Institute of Physics and Chemistry, Chinese Academy of Sciences, Beijing 100190, China
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Deng L, Shi L, Zhou T, Zhang X, Joo SW. Charge Properties and Electric Field Energy Density of Functional Group-Modified Nanoparticle Interacting with a Flat Substrate. MICROMACHINES 2020; 11:E1038. [PMID: 33256021 PMCID: PMC7760699 DOI: 10.3390/mi11121038] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/30/2020] [Revised: 11/23/2020] [Accepted: 11/23/2020] [Indexed: 12/23/2022]
Abstract
Functionalized nanofluidics devices have recently emerged as a powerful platform for applications of energy conversion. Inspired by biological cells, we theoretically studied the effect of the interaction between the nanoparticle and the plate which formed the brush layer modified by functional zwitterionic polyelectrolyte (PE) on the bulk charge density of the nanoparticle brush layer, and the charge/discharge effect when the distance between the particle and the plate was changed. In this paper, The Poisson-Nernst-Planck equation system is used to build the theoretical model to study the interaction between the nanoparticle and the plate modified by the PE brush layer, considering brush layer charge regulation in the presence of multiple ionic species. The results show that the bulk charge density of the brush layer decreases with the decrease of the distance between the nanoparticle and the flat substrate when the interaction occurs between the nanoparticle and the plate. When the distance between the particle and the plate is about 2 nm, the charge density of the brush layer at the bottom of the particle is about 69% of that at the top, and the electric field energy density reaches the maximum value when the concentration of the background salt solution is 10 mm.
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Affiliation(s)
- Luyu Deng
- Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, China; (L.D.); (L.S.); (X.Z.)
| | - Liuyong Shi
- Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, China; (L.D.); (L.S.); (X.Z.)
| | - Teng Zhou
- Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, China; (L.D.); (L.S.); (X.Z.)
| | - Xianman Zhang
- Mechanical and Electrical Engineering College, Hainan University, Haikou 570228, China; (L.D.); (L.S.); (X.Z.)
| | - Sang W. Joo
- School of Mechanical Engineering, Yeungnam University, Gyeongsan 38541, Korea
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Chen X, Li H, Lam K. A multiphysics model of photo-sensitive hydrogels in response to light-thermo-pH-salt coupled stimuli for biomedical applications. Bioelectrochemistry 2020; 135:107584. [DOI: 10.1016/j.bioelechem.2020.107584] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/30/2019] [Revised: 06/06/2020] [Accepted: 06/06/2020] [Indexed: 12/18/2022]
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Pinheiro JP, Rotureau E, Duval JFL. Addressing the electrostatic component of protons binding to aquatic nanoparticles beyond the Non-Ideal Competitive Adsorption (NICA)-Donnan level: Theory and application to analysis of proton titration data for humic matter. J Colloid Interface Sci 2020; 583:642-651. [PMID: 33039861 DOI: 10.1016/j.jcis.2020.09.059] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/08/2020] [Revised: 09/14/2020] [Accepted: 09/15/2020] [Indexed: 11/19/2022]
Abstract
HYPOTHESIS Charge descriptors of aquatic nanoparticles (NPs) are evaluated from proton titration curves measured at different salt concentrations and routinely analysed by the Non-Ideal Competitive Adsorption-Donnan (NICAD) model. This model, however, suffers from approximations regarding particle electrostatics, which may bias particle charge estimation. Implementation of Poisson-Boltzmann (PB) theory within consistent treatment of NPs protolytic data is expected to address NICAD shortcomings. EXPERIMENTS An alternative to NICAD is elaborated on the basis of nonlinearized PB equation for soft particle electrostatics to properly unravel the electrostatic and chemical components of proton binding to NPs. A numerical package is developed for automated analysis of proton titration curves and proton affinity spectra at different salt concentrations. The performance of the method is illustrated for humic matter nanoparticles with different charge and size, and compared to that of NICAD. FINDINGS Unlike NICAD, PB-based treatment successfully reproduces particle charge dependence on pH for practical salt concentrations from the thin to thick electric double layer limit. Donnan representation in NICAD leads to moderate to dramatic misestimations of proton affinity and binding heterogeneity depending on particle size to Debye layer thickness ratio. Interpretation of NPs protolytic properties with PB theory further avoids adjustment of the 'particle Donnan volume' empirically introduced in NICAD.
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Affiliation(s)
- José Paulo Pinheiro
- Université de Lorraine, CNRS, Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), UMR 7360, Vandoeuvre-lès-Nancy F-54000, France
| | - Elise Rotureau
- Université de Lorraine, CNRS, Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), UMR 7360, Vandoeuvre-lès-Nancy F-54000, France
| | - Jérôme F L Duval
- Université de Lorraine, CNRS, Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), UMR 7360, Vandoeuvre-lès-Nancy F-54000, France.
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Hassan G, Forsman N, Wan X, Keurulainen L, Bimbo LM, Stehl S, van Charante F, Chrubasik M, Prakash AS, Johansson LS, Mullen DC, Johnston BF, Zimmermann R, Werner C, Yli-Kauhaluoma J, Coenye T, Saris PEJ, Österberg M, Moreira VM. Non-leaching, Highly Biocompatible Nanocellulose Surfaces That Efficiently Resist Fouling by Bacteria in an Artificial Dermis Model. ACS APPLIED BIO MATERIALS 2020; 3:4095-4108. [PMID: 35025484 DOI: 10.1021/acsabm.0c00203] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023]
Abstract
Bacterial biofilm infections incur massive costs on healthcare systems worldwide. Particularly worrisome are the infections associated with pressure ulcers and prosthetic, plastic, and reconstructive surgeries, where staphylococci are the major biofilm-forming pathogens. Non-leaching antimicrobial surfaces offer great promise for the design of bioactive coatings to be used in medical devices. However, the vast majority are cationic, which brings about undesirable toxicity. To circumvent this issue, we have developed antimicrobial nanocellulose films by direct functionalization of the surface with dehydroabietic acid derivatives. Our conceptually unique design generates non-leaching anionic surfaces that reduce the number of viable staphylococci in suspension, including drug-resistant Staphylococcus aureus, by an impressive 4-5 log units, upon contact. Moreover, the films clearly prevent bacterial colonization of the surface in a model mimicking the physiological environment in chronic wounds. Their activity is not hampered by high protein content, and they nurture fibroblast growth at the surface without causing significant hemolysis. In this work, we have generated nanocellulose films with indisputable antimicrobial activity demonstrated using state-of-the-art models that best depict an "in vivo scenario". Our approach is to use fully renewable polymers and find suitable alternatives to silver and cationic antimicrobials.
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Affiliation(s)
- Ghada Hassan
- Drug Research Program, Division of Pharmaceutical Chemistry and Technology, Faculty of Pharmacy, University of Helsinki, Viikinkaari 5 E, P.O. Box 56, FI-00014 Helsinki, Finland
| | - Nina Forsman
- Department of Bioproducts and Biosystems, Aalto University, Vuorimiehentie 1, P.O. Box 16300, FI-00076 Aalto, Finland
| | - Xing Wan
- Department of Microbiology, Faculty of Agriculture and Forestry, University of Helsinki, Viikinkaari 9, P.O. Box 56, FI-00014 Helsinki, Finland
| | - Leena Keurulainen
- Drug Research Program, Division of Pharmaceutical Chemistry and Technology, Faculty of Pharmacy, University of Helsinki, Viikinkaari 5 E, P.O. Box 56, FI-00014 Helsinki, Finland
| | - Luis M Bimbo
- Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, 161 Cathedral Street, G4 0RE Glasgow, U.K
| | - Susanne Stehl
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Centre for Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany
| | - Frits van Charante
- Laboratory of Pharmaceutical Microbiology, Ghent University, 460 Ottergemsesteenweg, 9000 Gent, Belgium
| | - Michael Chrubasik
- EPSRC Future Manufacturing Research Hub for Continuous Manufacturing and Advanced Crystallisation, Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, Technology and Innovation Centre, 99 George Street, G1 1RD Glasgow, U.K.,National Physical Laboratory, Hampton Road, TW11 0LW Teddington, U.K
| | - Aruna S Prakash
- EPSRC Future Manufacturing Research Hub for Continuous Manufacturing and Advanced Crystallisation, Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, Technology and Innovation Centre, 99 George Street, G1 1RD Glasgow, U.K.,National Physical Laboratory, Hampton Road, TW11 0LW Teddington, U.K
| | - Leena-Sisko Johansson
- Department of Bioproducts and Biosystems, Aalto University, Vuorimiehentie 1, P.O. Box 16300, FI-00076 Aalto, Finland
| | - Declan C Mullen
- Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, 161 Cathedral Street, G4 0RE Glasgow, U.K
| | - Blair F Johnston
- EPSRC Future Manufacturing Research Hub for Continuous Manufacturing and Advanced Crystallisation, Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, Technology and Innovation Centre, 99 George Street, G1 1RD Glasgow, U.K.,National Physical Laboratory, Hampton Road, TW11 0LW Teddington, U.K
| | - Ralf Zimmermann
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Centre for Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany
| | - Carsten Werner
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Centre for Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany
| | - Jari Yli-Kauhaluoma
- Drug Research Program, Division of Pharmaceutical Chemistry and Technology, Faculty of Pharmacy, University of Helsinki, Viikinkaari 5 E, P.O. Box 56, FI-00014 Helsinki, Finland
| | - Tom Coenye
- Laboratory of Pharmaceutical Microbiology, Ghent University, 460 Ottergemsesteenweg, 9000 Gent, Belgium
| | - Per E J Saris
- Department of Microbiology, Faculty of Agriculture and Forestry, University of Helsinki, Viikinkaari 9, P.O. Box 56, FI-00014 Helsinki, Finland
| | - Monika Österberg
- Department of Bioproducts and Biosystems, Aalto University, Vuorimiehentie 1, P.O. Box 16300, FI-00076 Aalto, Finland
| | - Vânia M Moreira
- Drug Research Program, Division of Pharmaceutical Chemistry and Technology, Faculty of Pharmacy, University of Helsinki, Viikinkaari 5 E, P.O. Box 56, FI-00014 Helsinki, Finland.,Strathclyde Institute of Pharmacy and Biomedical Sciences, University of Strathclyde, 161 Cathedral Street, G4 0RE Glasgow, U.K
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Kundu D, Bhattacharyya S. Influence of slip velocity at the core of a diffuse soft particle and ion partition effects on mobility. THE EUROPEAN PHYSICAL JOURNAL. E, SOFT MATTER 2020; 43:27. [PMID: 32447590 DOI: 10.1140/epje/i2020-11957-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/26/2019] [Accepted: 05/04/2020] [Indexed: 06/11/2023]
Abstract
Nonlinear effects on the electrophoresis of a soft particle, consisting of a rigid hydrophobic core coated with a diffuse polymer layer (PEL) suspended in an electrolyte medium, are studied. The impact of the ion partitioning effect arising due to the Born energy difference between the PEL and the electrolyte is approximated based on the equilibrium Boltzmann equation, with which the ion distribution and hence, the charge density is modified. The equations describing the electrokinetic transport comprising the Darcy-Brinkman extended Navier-Stokes equations which includes the ion partitioning effect coupled with the modified Nernst-Planck equations and Poisson equations for electric field are solved numerically. The present numerical model for the soft particle compares well with the existing theoretical solutions and experimental results in the limiting cases. A deviation from existing simplified models based on the Boltzmann distribution of ions occurs when the Debye layer polarization, relaxation and the electroosmosis induced by the PEL immobile charge become significant. The hydrophobicity of the inner core strongly influences the nonlinear electrokinetic effects by modifying the Debye layer, electroosmotic flow in the PEL and surface conduction. The results indicate that the ion partitioning can significantly increase the electrophoretic mobility of the soft particle by attenuating the shielding effect. When the Debye layer is in the order of the particle size the hydrophobicity of the core surface and the ion partitioning effect manifest the surface conduction, which implies that the Boltzmann distribution of ions is no longer valid. The core hydrophobicity and ion partitioning effect have influence on the condensation of the PEL immobile charge, which creates a significant impact on the mobility.
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Affiliation(s)
- Dipankar Kundu
- Department of Mathematics, Indian Institute of Technology Kharagpur, 721302, Kharagpur, India
| | - Somnath Bhattacharyya
- Department of Mathematics, Indian Institute of Technology Kharagpur, 721302, Kharagpur, India.
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12
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Zimmermann R, Duval JF, Werner C. On the analysis of ionic surface conduction to unravel charging processes at macroscopic soft and hard solid–liquid interfaces. Curr Opin Colloid Interface Sci 2019. [DOI: 10.1016/j.cocis.2019.10.004] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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13
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Leclercq L, Morvan M, Koch J, Neusüß C, Cottet H. Modulation of the electroosmotic mobility using polyelectrolyte multilayer coatings for protein analysis by capillary electrophoresis. Anal Chim Acta 2019; 1057:152-161. [DOI: 10.1016/j.aca.2019.01.008] [Citation(s) in RCA: 26] [Impact Index Per Article: 5.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/15/2018] [Revised: 11/17/2018] [Accepted: 01/04/2019] [Indexed: 12/26/2022]
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14
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Duval JF, Werner C, Zimmermann R. Electrokinetics of soft polymeric interphases with layered distribution of anionic and cationic charges. Curr Opin Colloid Interface Sci 2016. [DOI: 10.1016/j.cocis.2016.05.002] [Citation(s) in RCA: 24] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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15
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Barbati AC, Kirby BJ. Surface conductivity in electrokinetic systems with porous and charged interfaces: Analytical approximations and numerical results. Electrophoresis 2016; 37:1979-91. [PMID: 27168464 DOI: 10.1002/elps.201500505] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/03/2015] [Revised: 04/05/2016] [Accepted: 04/05/2016] [Indexed: 11/10/2022]
Abstract
We derive an approximate analytical representation of the conductivity for a 1D system with porous and charged layers grafted onto parallel plates. Our theory improves on prior work by developing approximate analytical expressions applicable over an arbitrary range of potentials, both large and small as compared to the thermal voltage (RTF). Further, we describe these results in a framework of simplifying nondimensional parameters, indicating the relative dominance of various physicochemical processes. We demonstrate the efficacy of our approximate expression with comparisons to numerical representations of the exact analytical conductivity. Finally, we utilize this conductivity expression, in concert with other components of the electrokinetic coupling matrix, to describe the streaming potential and electroviscous effect in systems with porous and charged layers.
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Affiliation(s)
- Alexander C Barbati
- Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA
| | - Brian J Kirby
- Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, NY, USA
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Zimmermann R, Werner C, Duval JFL. Recent Progress and Perspectives in the Electrokinetic Characterization of Polyelectrolyte Films. Polymers (Basel) 2015; 8:polym8010007. [PMID: 30979104 PMCID: PMC6432592 DOI: 10.3390/polym8010007] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/02/2015] [Revised: 12/22/2015] [Accepted: 12/23/2015] [Indexed: 11/16/2022] Open
Abstract
The analysis of the charge, structure and molecular interactions of/within polymeric substrates defines an important analytical challenge in materials science. Accordingly, advanced electrokinetic methods and theories have been developed to investigate the charging mechanisms and structure of soft material coatings. In particular, there has been significant progress in the quantitative interpretation of streaming current and surface conductivity data of polymeric films from the application of recent theories developed for the electrohydrodynamics of diffuse soft planar interfaces. Here, we review the theory and experimental strategies to analyze the interrelations of the charge and structure of polyelectrolyte layers supported by planar carriers under electrokinetic conditions. To illustrate the options arising from these developments, we discuss experimental and simulation data for plasma-immobilized poly(acrylic acid) films and for a polyelectrolyte bilayer consisting of poly(ethylene imine) and poly(acrylic acid). Finally, we briefly outline potential future developments in the field of the electrokinetics of polyelectrolyte layers.
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Affiliation(s)
- Ralf Zimmermann
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Center of Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany.
| | - Carsten Werner
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Center of Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany.
- Technische Universität Dresden, Center for Regenerative Therapies Dresden, Tatzberg 47, 01307 Dresden, Germany.
| | - Jérôme F L Duval
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), CNRS UMR 7360, 15 avenue du Charmois, B.P. 40, F-54501 Vandoeuvre-lès-Nancy cedex, France.
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Lin JY, Lin CY, Hsu JP, Tseng S. Ionic Current Rectification in a pH-Tunable Polyelectrolyte Brushes Functionalized Conical Nanopore: Effect of Salt Gradient. Anal Chem 2015; 88:1176-87. [DOI: 10.1021/acs.analchem.5b03074] [Citation(s) in RCA: 59] [Impact Index Per Article: 6.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Jeng-Yang Lin
- Department
of Chemical Engineering, National Taiwan University, Taipei, Taiwan 10617
| | - Chih-Yuan Lin
- Department
of Chemical Engineering, National Taiwan University, Taipei, Taiwan 10617
| | - Jyh-Ping Hsu
- Department
of Chemical Engineering, National Taiwan University, Taipei, Taiwan 10617
| | - Shiojenn Tseng
- Department
of Mathematics, Tamkang University, Tamsui, New Taipei City, Taiwan 25137
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18
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Moussa M, Caillet C, Town RM, Duval JFL. Remarkable electrokinetic features of charge-stratified soft nanoparticles: mobility reversal in monovalent aqueous electrolyte. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2015; 31:5656-5666. [PMID: 25939023 DOI: 10.1021/acs.langmuir.5b01241] [Citation(s) in RCA: 34] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
The electrokinetic behavior of G6.5 carboxylate-terminated poly(amidoamine) (PAMAM) starburst dendrimers (8 ± 1 nm diameter) is investigated over a broad range of pH values (3-9) and NaNO3 concentrations (c(∞ )= 2-200 mM). The dependence of nanodendrimer electrophoretic mobility μ on pH and c(∞) is marked by an unconventional decrease of the point of zero mobility (PZM) from 5.4 to 5.5 to 3.8 upon increase in salt concentration, with PZM defined as the pH value at which a reversal of the mobility sign is reached. The existence of a common intersection point is further evidenced for series of mobility versus pH curves measured at different NaNO3 concentrations. Using soft particle electrokinetic theory, this remarkable behavior is shown to originate from the zwitterionic functionality of the PAMAM-COOH particles. The dependence of PZM on c(∞) results from the coupling between electroosmotic flow and dendrimeric interphase defined by a nonuniform distribution of amine and carboxylic functional groups. In turn, μ reflects the sign and distribution of particle charges located within an electrokinetically active region, the dimension of which is determined by the Debye length, varied here in the range 0.7-6.8 nm. In agreement with theory, the electrokinetics of smaller G4.5 PAMAM-COOH nanoparticles (5 ± 0.5 nm diameter) further confirms that the PZM is shifted to higher pH with decreasing dendrimer size. Depending on pH, a mobility extremum is obtained under conditions where the Debye length and the particle radius are comparable. This results from changes in particle structure compactness following salt- and pH-mediated modulations of intraparticle Coulombic interactions. The findings solidly evidence the possible occurrence of particle mobility reversal in monovalent salt solution suggested by recent molecular dynamic simulations and anticipated from earlier mean-field electrokinetic theory.
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Affiliation(s)
- Mariam Moussa
- †LIEC (Laboratoire Interdisciplinaire des Environnements Continentaux), UMR7360, CNRS, Vandoeuvre-lès-Nancy F-54501, France
- ‡LIEC, UMR7360, Université de Lorraine, Vandoeuvre-lès-Nancy F-54501, France
| | - Céline Caillet
- †LIEC (Laboratoire Interdisciplinaire des Environnements Continentaux), UMR7360, CNRS, Vandoeuvre-lès-Nancy F-54501, France
- ‡LIEC, UMR7360, Université de Lorraine, Vandoeuvre-lès-Nancy F-54501, France
| | - Raewyn M Town
- §Department of Physics, Chemistry and Pharmacy, University of Southern Denmark, Campusvej 55, 5230 Odense, Denmark
| | - Jérôme F L Duval
- †LIEC (Laboratoire Interdisciplinaire des Environnements Continentaux), UMR7360, CNRS, Vandoeuvre-lès-Nancy F-54501, France
- ‡LIEC, UMR7360, Université de Lorraine, Vandoeuvre-lès-Nancy F-54501, France
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19
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Das S. Explicit interrelationship between Donnan and surface potentials and explicit quantification of capacitance of charged soft interfaces with pH-dependent charge density. Colloids Surf A Physicochem Eng Asp 2014. [DOI: 10.1016/j.colsurfa.2014.08.017] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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20
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Zimmermann R, Romeis D, Bihannic I, Cohen Stuart M, Sommer JU, Werner C, Duval JFL. Electrokinetics as an alternative to neutron reflectivity for evaluation of segment density distribution in PEO brushes. SOFT MATTER 2014; 10:7804-7809. [PMID: 25144904 DOI: 10.1039/c4sm01315h] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Unravelling details of charge, structure and molecular interactions of functional polymer coatings defines an important analytical challenge that requires the extension of current methodologies. In this article we demonstrate how streaming current measurements interpreted with combined self consistent field (SCF) and soft surface electrokinetic theories allow the evaluation of the segment distribution within poly(ethylene oxide) (PEO) brushes beyond the resolution limits of neutron reflectivity technique.
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Affiliation(s)
- Ralf Zimmermann
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Center of Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany.
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21
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Chanda S, Sinha S, Das S. Streaming potential and electroviscous effects in soft nanochannels: towards designing more efficient nanofluidic electrochemomechanical energy converters. SOFT MATTER 2014; 10:7558-7568. [PMID: 25112236 DOI: 10.1039/c4sm01490a] [Citation(s) in RCA: 46] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
In this paper we provide analytical solutions for the streaming potential and electroviscous effects in soft nanochannels. The analysis is based on the solution of the linearized Poisson-Boltzmann equation, valid for small electrostatic potentials. We identify the important dimensionless parameters that dictate these two effects. Results are provided for a large range of electric double layer (EDL) thickness values, spanning from the case of very thin to very large overlapped EDL thicknesses. We compare the results with those of a rigid nanochannel, having zeta potential equal to the electrostatic potential at the solid-polyelectrolyte interface of the soft nanochannels. For the soft nanochannel, the streaming potential varies very weakly with the EDL thickness and can be substantially larger than that corresponding to the rigid nanochannel. The electroviscous effects for the soft nanochannel, unlike the rigid nanochannel, virtually always exhibit a monotonic decrease with the EDL thickness, and for certain parameter ranges can be several times larger than that for a rigid nanochannel. Most importantly, for the soft nanochannels the electrochemomechanical energy conversion, associated with the generation of streaming potential, is found to be highly efficient, with the efficiency being several times higher than that of a rigid nanochannel.
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Affiliation(s)
- Sourayon Chanda
- Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8
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22
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Dingari NN, Buie CR. Theoretical investigation of bacteria polarizability under direct current electric fields. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2014; 30:4375-4384. [PMID: 24665921 DOI: 10.1021/la500274h] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
We present a theoretical model to investigate the influence of soft polyelectrolyte layers on bacteria polarizability. We resolve soft-layer electrokinetics by considering the pH-dependent dissociation of ionogenic groups and specific interactions of ionogenic groups with the bulk electrolyte to go beyond approximating soft-layer electrokinetics as surface conduction. We model the electrokinetics around a soft particle by modified Poisson-Nernst-Planck equations (PNP) to account for the effects of ion transport in the soft layer and electric double layer. Fluid flow is modeled by modified Stokes equations accounting for soft-layer permeability. Two test cases are presented to demonstrate our model: fibrillated and unfibrillated Streptococcus salivarius bacteria. We show that electrolytic and pH conditions significantly influence the extent of soft-particle polarizability in dc fields. Comparison with an approximate analytical model based on Dukhin-Shilov theory for soft particles shows the importance of resolving soft-layer electrokinetics. Insights from this study can be useful in understanding the parameters that influence soft-particle dielectrophoresis in lab-on-a-chip devices.
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Affiliation(s)
- Naga Neehar Dingari
- Department of Mechanical Engineering, Massachusetts Institute of Technology , Cambridge, Massachusetts 02139, United States
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23
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Merlin J, Duval JFL. Electrodynamics of soft multilayered particles dispersions: dielectric permittivity and dynamic mobility. Phys Chem Chem Phys 2014; 16:15173-88. [DOI: 10.1039/c4cp01674b] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
A theory is presented for the electrodynamics of dispersions of spherical soft multilayered (bio)particles consisting of a hard core surrounded by step-function or diffuse-like polymeric layers with distinct electrohydrodynamic and structural features.
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Affiliation(s)
- Jenny Merlin
- Université de Lorraine
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC)
- Vandœuvre-lès-Nancy, France
- CNRS
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC)
| | - Jérôme F. L. Duval
- Université de Lorraine
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC)
- Vandœuvre-lès-Nancy, France
- CNRS
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC)
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24
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Chanda S, Das S. Effect of finite ion sizes in an electrostatic potential distribution for a charged soft surface in contact with an electrolyte solution. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 89:012307. [PMID: 24580227 DOI: 10.1103/physreve.89.012307] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/29/2013] [Indexed: 06/03/2023]
Abstract
We provide a theory to analyze the impact of finite ion sizes (or steric effect) in electrostatic potential distribution for a charged soft surface in contact with an electrolyte solution. The theory is based on a free energy model that appropriately accounts for the contribution of finite ion sizes as well as the structural characteristics of a soft interface, represented by a combination of a rigid surface and a fixed charge layer (FCL), with the FCL being in contact with an electrolyte solution forming an electric double layer (EDL). This FCL contains a particular kind of ion which is impermeable to the electrolyte solution, and this impermeability is quantified in terms of the corresponding Donnan potential of the "membrane" represented by the FCL-electrolyte interface. We find that consideration of the finite ion size increases the magnitude of this Donnan potential, with the extent of increase being dictated by three length scales, namely, the thickness of the FCL, the thickness of the electrolyte EDL, and the thickness of an equivalent EDL within the FCL. Such regulation of the Donnan potential strongly affects the distribution of the permeable electrolyte ions within the FCL, which in turn will have significant implications in several processes involving "soft" biological membranes.
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Affiliation(s)
- Sourayon Chanda
- Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8
| | - Siddhartha Das
- Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, Canada T6G 2G8
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25
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Duval JFL, Farinha JPS, Pinheiro JP. Impact of electrostatics on the chemodynamics of highly charged metal-polymer nanoparticle complexes. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2013; 29:13821-13835. [PMID: 24117349 DOI: 10.1021/la403106m] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
In this work, the impact of electrostatics on the stability constant, the rate of association/dissociation, and the lability of complexes formed between Cd(II), Pb(II), and carboxyl-modified polymer nanoparticles (also known as latex particles) of radius ∼ 50 nm is systematically investigated via electroanalytical measurements over a wide range of pHs and NaNO3 electrolyte concentrations. The corresponding interfacial structure and key electrostatic properties of the particles are independently derived from their electrokinetic response, successfully interpreted using soft particle electrohydrodynamic formalism, and complemented by Förster resonance energy transfer (FRET) analysis. The results underpin the presence of an ∼0.7-1 nm thick permeable and highly charged shell layer at the surface of the polymer nanoparticles. Their electrophoretic mobility further exhibits a minimum versus NaNO3 concentration due to strong polarization of the electric double layer. Integrating these structural and electrostatic particle features with recent theory on chemodynamics of particulate metal complexes yields a remarkable recovery of the measured increase in complex stability with increasing pH and/or decreasing solution salinity. In the case of the strongly binding Pb(II), the discrepancy at pH > 5.5 is unambiguously assigned to the formation of multidendate complexes with carboxylate groups located in the particle shell. With increasing pH and/or decreasing electrolyte concentration, the theory further predicts a kinetically controlled formation of metal complexes and a dramatic loss of their lability (especially for lead) on the time-scale of diffusion toward a macroscopic reactive electrode surface. These theoretical findings are again shown to be in agreement with experimental evidence.
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Affiliation(s)
- Jérôme F L Duval
- Laboratoire Interdisciplinaire des Environnements Continentaux (LIEC), Université de Lorraine , UMR 7360, 15 avenue du Charmois, Vandœuvre-lès-Nancy, F-54501, France
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26
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Barbati AC, Kirby BJ. Force and flux relations for flows of ionic solutions between parallel plates with porous and charged layers. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 88:042408. [PMID: 24229190 DOI: 10.1103/physreve.88.042408] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/22/2013] [Indexed: 06/02/2023]
Abstract
We derive coefficients of the electrokinetic coupling matrix (χ(11), χ(12), and χ(21)) for the flow of an ionic solution through a parallel-plate geometry having porous and charged layers grafted onto a solid surface with a known potential and demonstrate Onsager reciprocity for the cross terms (i.e., χ(12)=χ(21)). Our results enable the prediction of system outputs in the solid-porous-fluid system from parameters that are either known or may be measured and inferred. These electrokinetic coupling coefficients are in terms of the potential, ϕ, and fixed charge, ρ(f), only, removing dependence on field gradients and fluid velocity. Additionally, we present simplified expressions of these coupling coefficients in limiting regions of the parameter space. Away from these limits, we present numerical results demonstrating the facility of our functional form for facile numerical approximation and report the utility and accuracy of our analytical approximations.
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Affiliation(s)
- Alexander C Barbati
- Sibley School of Mechanical and Aerospace Engineering and Cornell University and Ithaca, New York 14853, USA
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27
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Zhao Y, Zhao H, Zhou K, Zhang G, Chen L, Feng X. Study on the influence of reaction time on the structure and properties of the PVDF membrane modified through the method of atom transfer radical polymerization. POLYM ENG SCI 2013. [DOI: 10.1002/pen.23641] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Yiping Zhao
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
| | - Haiyang Zhao
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
| | - Kaipeng Zhou
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
| | - Guifang Zhang
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
| | - Li Chen
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
| | - Xia Feng
- State Key Laboratory of Hollow Fiber Membrane Materials and Processes, School of Material Science & Engineering; Tianjin Polytechnic University; Tianjin 300387 People's Republic of China
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28
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Zimmermann R, Dukhin SS, Werner C, Duval JF. On the use of electrokinetics for unraveling charging and structure of soft planar polymer films. Curr Opin Colloid Interface Sci 2013. [DOI: 10.1016/j.cocis.2013.02.001] [Citation(s) in RCA: 49] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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29
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Duval JFL. Dynamics of metal uptake by charged biointerphases: bioavailability and bulk depletion. Phys Chem Chem Phys 2013; 15:7873-88. [DOI: 10.1039/c3cp00002h] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
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30
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Yeh LH, Tai YH, Wang N, Hsu JP, Qian S. Electrokinetics of pH-regulated zwitterionic polyelectrolyte nanoparticles. NANOSCALE 2012; 4:7575-7584. [PMID: 23108425 DOI: 10.1039/c2nr32277c] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
The electrokinetic behavior of pH-regulated, zwitterionic polyelectrolyte (PE) nanoparticles (NPs) in a general electrolyte solution containing multiple ionic species is investigated for the first time. The NPs considered are capable of simulating entities such as proteins, biomolecules, and synthetic polymers. The applicability of the model proposed is verified by the experimental data of succinoglycan nanoparticles available in the literature. We show that, in addition to their effective charge density, counterion condensation, double-layer polarization, and electro-osmotic flow of unbalanced counterions inside the double layer all significantly affect the electrophoretic behaviors of NPs. Our model successfully predicts many interesting electrophoretic behaviors, which qualitatively agree with experimental observations available in the literature. In contrast, because the effects of double-layer polarization and charge regulation are neglected, the existing theoretical models fail to explain the experimental results. The results gathered provide necessary information for the interpretation of relevant electrophoresis data in practice, and for nanofluidic applications such as biomimetic ion channels and nanopore-based sensing of single biomolecules.
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Affiliation(s)
- Li-Hsien Yeh
- Department of Chemical and Materials Engineering, National Yunlin University of Science and Technology, Douliou, Yunlin 64002, Taiwan
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31
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Zimmermann R, Bartsch S, Freudenberg U, Werner C. Electrokinetic analysis to reveal composition and structure of biohybrid hydrogels. Anal Chem 2012; 84:9592-5. [PMID: 23030581 DOI: 10.1021/ac302538j] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/15/2023]
Abstract
Biohybrid hydrogels combining electrically neutral synthetic polymers and highly anionic glycosaminoglycans (GAGs) offer exciting options for regenerative therapies as they allow for the electrostatic conjugation of various growth factors. Unraveling details of ionization and structure within such networks defines an important analytical challenge that requires the extension of current methodologies. Here, we present a mean-field approach to quantify the density of ionizable groups, GAG concentration, and cross-linking degree of such hydrogels based on experimental data from microslit electrokinetics and ellipsometry. An exemplary poly(ethylene glycol)-heparin system was analyzed to demonstrate how electrostatic fingerprints of hydrogels obtained by the introduced strategy can sensitively display composition and structure of the polymer networks.
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Affiliation(s)
- Ralf Zimmermann
- Leibniz Institute of Polymer Research Dresden, Max Bergmann Center of Biomaterials Dresden, Hohe Strasse 6, 01069 Dresden, Germany.
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32
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Yeh LH, Zhang M, Hu N, Joo SW, Qian S, Hsu JP. Electrokinetic ion and fluid transport in nanopores functionalized by polyelectrolyte brushes. NANOSCALE 2012; 4:5169-5177. [PMID: 22802160 DOI: 10.1039/c2nr31069d] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
Chemically functionalized nanopores in solid-state membranes have recently emerged as versatile tools for regulating ion transport and sensing single biomolecules. This study theoretically investigated the importance of the bulk salt concentration, the geometries of the nanopore, and both the thickness and the grafting density of the polyelectrolyte (PE) brushes on the electrokinetic ion and fluid transport in two types of PE brush functionalized nanopore: PE brushes are end-grafted to the entire membrane surface (system I), and to its inner surface only (nanopore wall) (system II). Due to a more significant ion concentration polarization (CP), the enhanced local electric field inside the nanopore, the conductance, and the electroosmotic flow (EOF) velocity in system II are remarkably smaller than those in system I. In addition to a significantly enhanced EOF inside the nanopore, the direction of the flow field near both nanopore openings in system I is opposite to that of EOF inside the nanopore. This feature can be applied to regulate the electrokinetic translocation of biomolecules through a nanopore in the nanopore-based DNA sequencing platform.
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Affiliation(s)
- Li-Hsien Yeh
- Institute of Micro/Nanotechnology, Old Dominion University, Norfolk, VA 23529, USA
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33
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Louie SM, Phenrat T, Small MJ, Tilton RD, Lowry GV. Parameter identifiability in application of soft particle electrokinetic theory to determine polymer and polyelectrolyte coating thicknesses on colloids. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2012; 28:10334-10347. [PMID: 22708677 DOI: 10.1021/la301912j] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/01/2023]
Abstract
Soft particle electrokinetic models have been used to determine adsorbed nonionic polymer and polyelectrolyte layer properties on nanoparticles or colloids by fitting electrophoretic mobility data. Ohshima first established the formalism for these models and provided analytical approximations ( Ohshima, H. Adv. Colloid Interface Sci.1995, 62, 189 ). More recently, exact numerical solutions have been developed, which account for polarization and relaxation effects and require fewer assumptions on the particle and soft layer properties. This paper characterizes statistical uncertainty in the polyelectrolyte layer charge density, layer thickness, and permeability (Brinkman screening length) obtained from fitting data to either the analytical or numerical electrokinetic models. Various combinations of particle core and polymer layer properties are investigated to determine the range of systems for which this analysis can provide a solution with reasonably small uncertainty bounds, particularly for layer thickness. Identifiability of layer thickness in the analytical model ranges from poor confidence for cases with thick, highly charged coatings, to good confidence for cases with thin, low-charged coatings. Identifiability is similar for the numerical model, except that sensitivity is improved at very high charge and permeability, where polarization and relaxation effects are significant. For some poorly identifiable cases, parameter reduction can reduce collinearity to improve identifiability. Analysis of experimental data yielded results consistent with expectations from the simulated theoretical cases. Identifiability of layer charge density and permeability is also evaluated. Guidelines are suggested for evaluation of statistical confidence in polymer and polyelectrolyte layer parameters determined by application of the soft particle electrokinetic theory.
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Affiliation(s)
- Stacey M Louie
- Center for the Environmental Implications of NanoTechnology, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, United States
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34
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Duval JF, Küttner D, Nitschke M, Werner C, Zimmermann R. Interrelations between charging, structure and electrokinetics of nanometric polyelectrolyte films. J Colloid Interface Sci 2011; 362:439-49. [DOI: 10.1016/j.jcis.2011.06.063] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/28/2011] [Revised: 06/06/2011] [Accepted: 06/28/2011] [Indexed: 10/18/2022]
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35
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Duval JFL, Küttner D, Werner C, Zimmermann R. Electrohydrodynamics of soft polyelectrolyte multilayers: point of zero-streaming current. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2011; 27:10739-10752. [PMID: 21761889 DOI: 10.1021/la202292k] [Citation(s) in RCA: 28] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
We report a comprehensive formalism for the electrokinetics (streaming current, I(str)) at soft multilayered polyelectrolyte films. These assemblies generally consist of a succession of permeable diffuse layers that differ in charge density, thickness, and hydrodynamic softness. The model, which extends one that we recently reported for the electrokinetics of monolayered soft thin films (Langmuir 2010, 26, 18169-18181), is valid without any restriction in the number and thickness of layers, or in the degree of dissociation and density of ionizable groups they carry. It further covers the limiting cases of hard and free draining films and correctly compares to semianalytical expressions derived for I(str) under conditions where the Debye-Hückel approximation applies. The flexibility of the theory is illustrated by simulations of I(str) for a two-layer assembly of cationic and anionic polymers over a large range of pH values and electrolyte concentrations. On this basis, it is shown that the point of zero streaming current (PZSC) of soft multilayered interphases, defined by the pH value where I(str) = 0, generally depends on the concentration of the (indifferent) electrolyte. The magnitude and direction of the shift in PZSC with varying salinity are intrinsically governed by the dissymmetry in protolytic characteristics and density of dissociable groups within each layer constituting the film, together with the respective film thickness and hydrodynamic softness. The fundamental effects covered by the theory are illustrated by streaming current measurements performed on two practically relevant systems, a polyelectrolyte bilayer prepared from poly(ethylene imine) (PEI) and poly(acrylic acid) (PAA) and a polymer-cushioned (PEI) bilayer lipid membrane.
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Affiliation(s)
- Jérôme F L Duval
- Laboratoire Environnement et Minéralurgie, Nancy Université, CNRS UMR 7569, 15 avenue du Charmois, B.P. 40, 54501 Vandoeuvre-lès-Nancy, cedex France.
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36
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Kaufmann M, Jia Y, Werner C, Pompe T. Weakly coupled lipid bilayer membranes on multistimuli-responsive poly(N-isopropylacrylamide) copolymer cushions. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2011; 27:513-516. [PMID: 21158389 DOI: 10.1021/la103954y] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
Polymer-cushioned lipid bilayers are frequently used to mimic the native environment of cellular membranes in respect to the extracellular matrix and intracellular structures. With the aim to actively tune lipid membrane characteristics, we pursue the approach to use temperature and pH responsive polymer thin films of poly(N-isopropylacrylamide-co-carboxyacrylamide) (PNIPAAm-co-carboxyAAM) as cushions for supported lipid bilayers. A cationic lipid bilayer composed of dioleoylphosphatidylcholine (DOPC) and dioleoyltrimethylammoniumpropane (DOTAP) (9:1) was formed on top of the polymer thin film in a drying/rehydration process. Fluorescence recovery after photobleaching (FRAP) yielded higher lipid diffusion coefficients (6.3-9.6 μm(2) s(-1)) on polymer cushions in comparison to solid glass supports (3.0-5.9 μm(2) s(-1)). No correlation of the lipid mobility was found with the swelling state of (PNIPAAm-co-carboxyAAM), which is ascribed to restrained interfacial electrostatic interactions and dispersion forces. The results revealed a minimal coupling of the lipid bilayer with the polymer cushions, and thus, bilayers supported by (PNIPAAm-co-carboxyAAM) provide interesting opportunities for unperturbed lipid diffusion combined with control of transmembrane protein mobility due to the impact of a tunable frictional drag.
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Affiliation(s)
- Martin Kaufmann
- Leibniz Institute of Polymer Research Dresden, Hohe Str. 6, 01069 Dresden, Germany
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