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Jeworrek C, Steitz R, Czeslik C, Winter R. High pressure cell for neutron reflectivity measurements up to 2500 bar. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2011; 82:025106. [PMID: 21361632 DOI: 10.1063/1.3553392] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The design of a high pressure (HP) cell for neutron reflectivity experiments is described. The cell can be used to study solid-liquid interfaces under pressures up to 2500 bar (250 MPa). The sample interface is based on a thick silicon block with an area of about 14 cm(2). This area is in contact with the sample solution which has a volume of only 6 cm(3). The sample solution is separated from the pressure transmitting medium, water, by a thin flexible polymer membrane. In addition, the HP cell can be temperature-controlled by a water bath in the range 5-75°C. By using an aluminum alloy as window material, the assembled HP cell provides a neutron transmission as high as 41%. The maximum angle of incidence that can be used in reflectivity experiments is 7.5°. The large accessible pressure range and the low required volume of the sample solution make this HP cell highly suitable for studying pressure-induced structural changes of interfacial proteins, supported lipid membranes, and, in general, biomolecular systems that are available in small quantities, only. To illustrate the performance of the HP cell, we present neutron reflectivity data of a protein adsorbate under high pressure and a lipid film which undergoes several phase transitions upon pressurization.
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Kreuzer M, Kaltofen T, Steitz R, Zehnder BH, Dahint R. Pressure cell for investigations of solid-liquid interfaces by neutron reflectivity. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2011; 82:023902. [PMID: 21361606 DOI: 10.1063/1.3505797] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We describe an apparatus for measuring scattering length density and structure of molecular layers at planar solid-liquid interfaces under high hydrostatic pressure conditions. The device is designed for in situ characterizations utilizing neutron reflectometry in the pressure range 0.1-100 MPa at temperatures between 5 and 60 °C. The pressure cell is constructed such that stratified molecular layers on crystalline substrates of silicon, quartz, or sapphire with a surface area of 28 cm(2) can be investigated against noncorrosive liquid phases. The large substrate surface area enables reflectivity to be measured down to 10(-5) (without background correction) and thus facilitates determination of the scattering length density profile across the interface as a function of applied load. Our current interest is on the stability of oligolamellar lipid coatings on silicon surfaces against aqueous phases as a function of applied hydrostatic pressure and temperature but the device can also be employed to probe the structure of any other solid-liquid interface.
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Dodoo S, Steitz R, Laschewsky A, von Klitzing R. Effect of ionic strength and type of ions on the structure of water swollen polyelectrolyte multilayers. Phys Chem Chem Phys 2011; 13:10318-25. [DOI: 10.1039/c0cp01357a] [Citation(s) in RCA: 79] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Strobl M, Steitz R, Kreuzer M, Nawara A, Mezei F, Rose M, Amitesh P, Grunze M, Dahint R. BioRef – a time-of-flight neutron reflectometer combined with in-situ infrared spectroscopy at the Helmholtz Centre Berlin. ACTA ACUST UNITED AC 2010. [DOI: 10.1088/1742-6596/251/1/012059] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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30
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Burmistrova A, Steitz R, von Klitzing R. Temperature Response of PNIPAM Derivatives at Planar Surfaces: Comparison between Polyelectrolyte Multilayers and Adsorbed Microgels. Chemphyschem 2010; 11:3571-9. [DOI: 10.1002/cphc.201000378] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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31
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Steitz R, Braun C, Bowers J, Lang P, Findenegg GH. Surface effects accompanying the Lα-to-L+α transition of the amphiphile C12E4 in water as studied by Neutron reflectivity. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19981021121] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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32
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Engel M, Merle HJ, Peterson IR, Riegler H, Steitz R. Structural Relationships between Floating and Deposited Monolayers of Docosanoic Acid. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bbpc.19910951139] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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33
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Evers F, Steitz R, Tolan M, Czeslik C. Analysis of Hofmeister Effects on Protein Adsorption At Aqueous-Solid Interfaces. Biophys J 2010. [DOI: 10.1016/j.bpj.2009.12.256] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022] Open
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34
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Evers F, Reichhart C, Steitz R, Tolan M, Czeslik C. Probing adsorption and aggregation of insulin at a poly(acrylic acid) brush. Phys Chem Chem Phys 2010; 12:4375-82. [DOI: 10.1039/b925134k] [Citation(s) in RCA: 30] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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35
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Evers F, Steitz R, Tolan M, Czeslik C. Analysis of Hofmeister Effects on the Density Profile of Protein Adsorbates: A Neutron Reflectivity Study. J Phys Chem B 2009; 113:8462-5. [DOI: 10.1021/jp904065w] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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36
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Jeworrek C, Hollmann O, Steitz R, Winter R, Czeslik C. Interaction of IAPP and insulin with model interfaces studied using neutron reflectometry. Biophys J 2009; 96:1115-23. [PMID: 19186147 DOI: 10.1016/j.bpj.2008.11.006] [Citation(s) in RCA: 25] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/02/2008] [Accepted: 11/05/2008] [Indexed: 10/21/2022] Open
Abstract
The islet amyloid polypeptide (IAPP) and insulin are coproduced by the beta-cells of the pancreatic islets of Langerhans. Both peptides can interact with negatively charged lipid membranes. The positively charged islet amyloid polypeptide partially inserts into these membranes and subsequently forms amyloid fibrils. The amyloid fibril formation of insulin is also accelerated by the presence of negatively charged lipids, although insulin has a negative net charge at neutral pH-values. We used water-polymer model interfaces to differentiate between the hydrophobic and electrostatic interactions that can drive these peptides to adsorb at an interface. By applying neutron reflectometry, the scattering-length density profiles of IAPP and insulin, as adsorbed at three different water-polymer interfaces, were determined. The islet amyloid polypeptide most strongly adsorbed at a hydrophobic poly-(styrene) surface, whereas at a hydrophilic, negatively charged poly-(styrene sulfonate) interface, the degree of adsorption was reduced by 50%. Almost no IAPP adsorption was evident at this negatively charged interface when we added 100 mM NaCl. On the other hand, negatively charged insulin was most strongly attracted to a hydrophilic, negatively charged interface. Our results suggest that IAPP is strongly attracted to a hydrophobic surface, whereas the few positive charges of IAPP cannot warrant a permanent immobilization of IAPP at a hydrophilic, negatively charged surface at an ionic strength of 100 mM. Furthermore, the interfacial accumulation of insulin at a hydrophilic, negatively charged surface may represent a favorable precondition for nucleus formation and fibril formation.
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Wolff M, Steitz R, Gutfreund P, Voss N, Gerth S, Walz M, Magerl A, Zabel H. Shear induced relaxation of polymer micelles at the solid-liquid interface. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2008; 24:11331-11333. [PMID: 18817420 DOI: 10.1021/la801945q] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/26/2023]
Abstract
A 20% aqueous solution of (ethylene oxide) 99-(propylene oxide) 65-(ethylene oxide) 99, F127, was investigated by combining rheology in a cone/plate-geometry and surface-sensitive grazing incident neutron scattering. The crystalline structure formed by the polymer micelles becomes less pronounced for low shear rates, but correlations increase for higher shear rates. After stopping shear a slow relaxation of the micelles is found in the vicinity (50 mum thick layer) of a hydrophilic silicon wall (strong micelle-wall interaction), while a fast relaxation is observed in the boundary layer against the hydrophobic silicon wall (weak micelle-wall interaction). The results show that in the vicinity of the interface wall-particle interactions compete heavily with the shear force acting on the liquid.
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Ivanova O, Soltwedel O, Gopinadhan M, Köhler R, Steitz R, Helm CA. Immobile Light Water and Proton−Deuterium Exchange in Polyelectrolyte Multilayers. Macromolecules 2008. [DOI: 10.1021/ma800456z] [Citation(s) in RCA: 17] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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39
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Strobl M, Steitz R, Dahint R. BioRef – a time-of-flight reflectometer at Hahn–Meitner Institute Berlin. Acta Crystallogr A 2008. [DOI: 10.1107/s0108767308093987] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022] Open
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40
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Voets IK, de Vos WM, Hofs B, de Keizer A, Conhen Stuart MA, Steitz R, Lott D. Internal structure of a thin film of mixed polymeric micelles on a solid/liquid interface. J Phys Chem B 2008; 112:6937-45. [PMID: 18489139 DOI: 10.1021/jp709758p] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The adsorption of mixed micelles of poly(4-(2-amino hydrochloride-ethylthio)-butylene)- block-poly(ethylene oxide), PAETB 49- b-PEO 212 and poly(4-(2-sodium carboxylate-ethylthio)-butylene)- block-poly(ethylene oxide), PCETB 47- b-PEO 212 on solid/liquid interfaces has been studied with light, X-ray, and neutron reflectometry. The structure of the adsorbed layer can be described with a two-layer model consisting of an inner layer formed by the coacervate of the polyelectrolyte blocks PAETB 49 and PCETB 47 ( approximately 1 nm) and an outer layer of PEO 212 blocks ( approximately 6 nm). The micelles unfold upon adsorption forming a rather homogeneous flat layer that exposes its polyethylene oxide chains into the solution, thus rendering the surface antifouling after modification with the micelles.
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41
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Papaefthimiou V, Steitz R, Findenegg G. Responsive Polymerschichten. Schaltbare Oberfläche. CHEM UNSERER ZEIT 2008. [DOI: 10.1002/ciuz.200800455] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
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42
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Hollmann O, Steitz R, Czeslik C. Structure and dynamics of α-lactalbumin adsorbed at a charged brush interface. Phys Chem Chem Phys 2008; 10:1448-56. [DOI: 10.1039/b716264b] [Citation(s) in RCA: 46] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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43
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Schönhoff M, Ball V, Bausch AR, Dejugnat C, Delorme N, Glinel K, Klitzing RV, Steitz R. Hydration and internal properties of polyelectrolyte multilayers. Colloids Surf A Physicochem Eng Asp 2007. [DOI: 10.1016/j.colsurfa.2007.02.054] [Citation(s) in RCA: 157] [Impact Index Per Article: 9.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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44
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Haas H, Steitz R, Fasano A, Liuzzi GM, Polverini E, Cavatorta P, Riccio P. Laminar order within Langmuir-Blodgett multilayers from phospholipid and myelin basic protein: a neutron reflectivity study. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2007; 23:8491-6. [PMID: 17616158 DOI: 10.1021/la700733y] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/16/2023]
Abstract
Multilayers consisting of negatively charged phospholipid DMPA and myelin basic protein (MBP) were assembled by Langmuir-Blodgett deposition of floating Langmuir monolayers from the air/water interface to solid substrates. Protein/lipid samples were obtained by binding MBP from the aqueous subphase to the phospholipid monolayers before deposition. The vertical organization of these model membranes (i.e., with organization perpendicular to the substrate surface) was investigated in detail by neutron reflectivity measurements, and the internal distribution of water molecules was determined from the change of contrast after in-situ H2O/D2O exchange. The multilayers were well ordered, with repeating lipid bilayers as fundamental structural unit. MBP was inserted in between adjacent lipid headgroups, such as in the natural myelin membrane. Water molecules in the multilayers were present mainly in the lipid headgroup and protein slab. On exposition of the pure lipid multilayers to a dry atmosphere, a reduction of the bilayer spacing was determined, whereas the global lamellar order was not affected. In contrast, drying of the protein/lipid multilayers induced degradation of the laminar order. The data demonstrate that ordered Langmuir-Blodgett multilayers are versatile model systems for studying how competing interactions between lipid, protein, water, and ions affect the global organization of such multilamellar lipid/protein assemblies. Here, the water molecules were found to be a necessary mediator to maintain the laminar order in a multilayer from DMPA and myelin basic protein.
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45
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Gopinadhan M, Ivanova O, Ahrens H, Günther JU, Steitz R, Helm CA. The Influence of Secondary Interactions during the Formation of Polyelectrolyte Multilayers: Layer Thickness, Bound Water and Layer Interpenetration. J Phys Chem B 2007; 111:8426-34. [PMID: 17461567 DOI: 10.1021/jp067402z] [Citation(s) in RCA: 52] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
With X-ray and neutron reflectivity, the structure and composition of polyelectrolyte multilayers from poly(allyl amine) (PAH) and poly(styrene sulfonate) (PSS) are studied as function of preparation conditions (salt concentration and solution temperature, T). The onset of a temperature effect occurs at 0.05 M NaCl (Debye length approximately 1 nm). At 1 M salt, the film thickness increases by a factor of 3 on heating the deposition solution from 5 to 60 degrees C. The PAH/PSS bilayer thickness is independent of the kind of salt (NaCl or KCl), yet its composition is different (more bound water for NaCl). At low T, the internal roughness is 33% of the bilayer thickness; it increases to 60% at high T. The roughening is accompanied by a total loss of bound water. At which temperature the roughening starts is a function of the kind of salt (50 degrees C for NaCl and 35 degrees C for KCl). The strong temperature dependence and the eventual loss of bound water molecules may be attributed to the hydrophobic force; however, there is an isotope effect, since the loss of bound water is less pronounced in the deuterated layers.
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46
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Maccarini M, Steitz R, Himmelhaus M, Fick J, Tatur S, Wolff M, Grunze M, Janecek J, Netz RR. Density depletion at solid-liquid interfaces: a neutron reflectivity study. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2007; 23:598-608. [PMID: 17209611 DOI: 10.1021/la061943y] [Citation(s) in RCA: 78] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/13/2023]
Abstract
Neutron reflectivity experiments conducted on self-assembled monolayers (SAMs) against polar (water) and nonpolar (organic) liquid phases reveal further evidence for a density reduction at hydrophobic-hydrophilic interfaces. The density depletion is found at the interface between hydrophobic dodecanethiol (C12) and hexadecanethiol (C16) SAMs and water and also between hydrophilic SAMs (C12/C11OH) and nonpolar fluids. The results show that the density deficit of a fluid in the boundary layer is not unique to aqueous solid-liquid interfaces but is more general and correlated with the affinity of the liquid to the solid surface. In water the variation of pH has only minor influence, while different electrolytes taken from the Hofmeister series seem to increase the depletion. On hydrophobic SAMs an increase in density depletion with temperature was observed, in agreement with Monte Carlo simulations performed on corresponding model systems. The increase in the water density depletion layer is governed by two effects: the surface energy difference between water and the substrate and the chemical potential of the aqueous phase.
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47
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Ribeiro PA, Steitz R, Lopis IE, Haas H, Souza NC, Oliveira ON, Raposo M. Thermal stability of poly(o-methoxyaniline) layer-by-layer films investigated by neutron reflectivity and UV-VIS spectroscopy. JOURNAL OF NANOSCIENCE AND NANOTECHNOLOGY 2006; 6:1396-404. [PMID: 16792371 DOI: 10.1166/jnn.2006.300] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/10/2023]
Abstract
Neutron reflectivity measurements were used to investigate the thermal stability of layer-by-layer (LBL) films of poly(o-methoxyaniline) (POMA), which was probed by increasing the temperature up to 80 degrees C of a D2O solution in contact with the LBL films. The study was made possible by adsorbing POMA layers on a PEI/(PSS/PAH)5/PSS LBL film template, leading to less rough POMA layers in comparison with the POMA/poly(vinylsulfonic acid sodium salt) (PVS) LBL films adsorbed directly on glass and silicon substrates. While the latter yielded almost fringeless neutron reflectivity curves due to the large roughness, the fitting of the data for POMA films adsorbed onto the template film and UV-vis measurements indicated that the topmost layer is affected for films heated in solution up to 80 degrees C. This is essentially the same thermal stability of LBL films from the template films made with conventional polyelectrolytes. A decrease in thickness of approximately 10 A was inferred when the solution temperature increased from 25 degrees C to 80 degrees C, which was maintained when the sample was cooled back to 25 degrees C. This decrease, observed for solutions of pH 3 and pH 8, is consistent with thermally-stimulated desorption and was corroborated by UV-VIS absorption experiments. The unexpected stability of the POMA layer at pH 8 is attributed to the layer-by-layer structure of the films that allows POMA to remain doped, in its salt emeraldine form, even at high pH.
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Rehfeldt F, Steitz R, Armes SP, von Klitzing R, Gast AP, Tanaka M. Reversible Activation of Diblock Copolymer Monolayers at the Interface by pH Modulation, 1: Lateral Chain Density and Conformation. J Phys Chem B 2006; 110:9171-6. [PMID: 16671730 DOI: 10.1021/jp054532j] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
This study focuses on the design of chemically regulated surfaces that allow for reversible control of the interactions between biological matter (cells and proteins) and planar substrates. As a tunable interlayer, we use a monolayer of a near-monodisperse poly[2-(dimethylamino)ethyl methacrylate-block-methyl methacrylate] (PDMAEMA-PMMA) diblock copolymer. Owing to the relatively large fraction (50%) of the hydrophobic PMMA block, this copolymer forms a stable Langmuir monolayer at the air/water interface. Both in situ and ex situ film balance experiments suggest that the hydrophilic PDMAEMA block adsorbs to the air/water interface in its uncharged state (pH 8.5), but stretches into the subphase in its charged state (pH 5.5). Optimization of the preparation protocols enables us to fabricate stable, homogeneous diblock copolymer films on hydrophobized substrates via Langmuir-Schaefer transfer at well-defined lateral chain densities. Ellipsometry and X-ray reflectivity studies of the transferred films confirm that the film thickness can be systematically regulated by the lateral chain densities. The transferred copolymer films remain stable in water for about a week, suggesting that they are promising materials for the creation of pH-controlled solid substrates for the support of biological matter such as proteins and cells.
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49
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Rehfeldt F, Steitz R, Armes SP, von Klitzing R, Gast AP, Tanaka M. Reversible Activation of Diblock Copolymer Monolayers at the Interface by pH Modulation, 2: Membrane Interactions at the Solid/Liquid Interface. J Phys Chem B 2006; 110:9177-82. [PMID: 16671731 DOI: 10.1021/jp054533b] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
A monolayer of the pH-responsive poly[2-(dimethylamino)ethyl methacrylate-block-methyl methacrylate] diblock copolymer [PDMAEMA-PMMA] was transferred from the air/water interface to a silicon substrate for evaluation as a tunable interlayer between biological material and solid substrates. Specular neutron reflectivity experiments revealed that the weak polyelectrolyte PDMAEMA chains at the solid/liquid interface can be reversibly activated by pH modulation. The thickness, scattering length density, and surface roughness of the polymer film can be systematically controlled by pH titration. As a simple model of plasma membranes, a lipid bilayer was deposited onto the polymer film. The membrane-substrate interaction was characterized by neutron reflectivity experiments, demonstrating that the membrane-substrate distance could be reversibly regulated by pH titration. These results confirm the potential of stimuli-responsive polymers for precise control of cell-surface interactions.
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Bowers J, Zarbakhsh A, Christenson HK, McLure IA, Webster JRP, Steitz R. Neutron reflectivity studies of critical adsorption: behavior of the surface scaling function. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2005; 72:041606. [PMID: 16383395 DOI: 10.1103/physreve.72.041606] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/22/2005] [Indexed: 05/05/2023]
Abstract
Neutron reflectometry has been employed to examine the nature of the critical adsorption surface scaling function for a near-critical mixture of hexane-d14+perfluorohexane adsorbing to a solid substrate from the liquid one-phase region. The analysis method of Dietrich and Schack has been applied to examine the nature of the power-law part of the critical adsorption surface scaling function, which has been found to behave as m(z) approximately P0z(-mu) as the critical point is approached. Values of mu = 0.514+/-0.018 and P0 = 0.90+/-0.04 have been obtained. These values are consistent with theoretical expectations (mu(th) = 0.516+/-0.004; P0(th) = 0.94+/-0.05), the value determined from Monte Carlo simulations (P(MC)0 = 0.866, and other experimental determinations (P(ex)0 = 0.955=/-0.08).
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