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van T Hag L, de Campo L, Tran N, Sokolova A, Trenker R, Call ME, Call MJ, Garvey CJ, Leung AE, Darwish TA, Krause-Heuer A, Knott R, Meikle TG, Drummond CJ, Mezzenga R, Conn CE. Protein-Eye View of the in Meso Crystallization Mechanism. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2019; 35:8344-8356. [PMID: 31122018 DOI: 10.1021/acs.langmuir.9b00647] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
For evolving biological and biomedical applications of hybrid protein?lipid materials, understanding the behavior of the protein within the lipid mesophase is crucial. After more than two decades since the invention of the in meso crystallization method, a protein-eye view of its mechanism is still lacking. Numerous structural studies have suggested that integral membrane proteins preferentially partition at localized flat points on the bilayer surface of the cubic phase with crystal growth occurring from a local fluid lamellar L? phase conduit. However, studies to date have, by necessity, focused on structural transitions occurring in the lipid mesophase. Here, we demonstrate using small-angle neutron scattering that the lipid bilayer of monoolein (the most commonly used lipid for in meso crystallization) can be contrast-matched using deuteration, allowing us to isolate scattering from encapsulated peptides during the crystal growth process for the first time. During in meso crystallization, a clear decrease in form factor scattering intensity of the peptides was observed and directly correlated with crystal growth. A transient fluid lamellar L? phase was observed, providing direct evidence for the proposed mechanism for this technique. This suggests that the peptide passes through a transition from the cubic QII phase, via an L? phase to the lamellar crystalline Lc phase with similar layered spacing. When high protein loading was possible, the lamellar crystalline Lc phase of the peptide in the single crystals was observed. These findings show the mechanism of in meso crystallization for the first time from the perspective of integral membrane proteins.
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Affiliation(s)
- Leonie van T Hag
- Department of Health Sciences and Technology , ETH Zurich , CH-8092 Zurich , Switzerland
| | | | - Nhiem Tran
- School of Science, College of Science, Engineering and Health , RMIT University , Melbourne , Victoria 3001 , Australia
| | | | - Raphael Trenker
- Structural Biology Division , The Walter and Eliza Hall Institute of Medical Research , Parkville , Victoria 3052 , Australia
- Department of Medical Biology , The University of Melbourne , Parkville , Victoria 3052 , Australia
| | - Matthew E Call
- Structural Biology Division , The Walter and Eliza Hall Institute of Medical Research , Parkville , Victoria 3052 , Australia
- Department of Medical Biology , The University of Melbourne , Parkville , Victoria 3052 , Australia
| | - Melissa J Call
- Structural Biology Division , The Walter and Eliza Hall Institute of Medical Research , Parkville , Victoria 3052 , Australia
- Department of Medical Biology , The University of Melbourne , Parkville , Victoria 3052 , Australia
| | | | - Anna E Leung
- Scientific Activities Division , European Spallation Source ERIC , Lund 224 84 , Sweden
| | | | | | | | - Thomas G Meikle
- School of Science, College of Science, Engineering and Health , RMIT University , Melbourne , Victoria 3001 , Australia
| | - Calum J Drummond
- School of Science, College of Science, Engineering and Health , RMIT University , Melbourne , Victoria 3001 , Australia
| | - Raffaele Mezzenga
- Department of Health Sciences and Technology , ETH Zurich , CH-8092 Zurich , Switzerland
- Department of Materials , ETH Zurich , CH-8093 Zurich , Switzerland
| | - Charlotte E Conn
- School of Science, College of Science, Engineering and Health , RMIT University , Melbourne , Victoria 3001 , Australia
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Evans ME, Hyde ST. Periodic entanglement III: tangled degree-3 finite and layer net intergrowths from rare forests. ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 2015; 71:599-611. [PMID: 26522409 DOI: 10.1107/s2053273315014710] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/09/2015] [Accepted: 08/05/2015] [Indexed: 11/10/2022]
Abstract
Entanglements of two-dimensional honeycomb nets are constructed from free tilings of the hyperbolic plane (H2) on triply periodic minimal surfaces. The 2-periodic nets that comprise the structures are guaranteed by considering regular, rare free tilings in H2. This paper catalogues an array of entanglements that are both beautiful and challenging for current classification techniques, including examples that are realized in metal-organic materials. The compactification of these structures to the genus-3 torus is considered as a preliminary method for generating entanglements of finite θ-graphs, potentially useful for gaining insight into the entanglement of the periodic structure. This work builds on previous structural enumerations given in Periodic entanglement Parts I and II [Evans et al. (2013). Acta Cryst. A69, 241-261; Evans et al. (2013). Acta Cryst. A69, 262-275].
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Affiliation(s)
- Myfanwy E Evans
- Institute for Mathematics, Technische Universität Berlin, Germany
| | - Stephen T Hyde
- Department of Applied Mathematics, Research School of Physics, Australian National University, Australia
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Abstract
Three-dimensional entanglements, including knots, knotted graphs, periodic arrays of woven filaments and interpenetrating nets, form an integral part of structure analysis because they influence various physical properties. Ideal embeddings of these entanglements give insight into identification and classification of the geometry and physically relevant configurations
in vivo
. This paper introduces an algorithm for the tightening of finite, periodic and branched entanglements to a least energy form. Our algorithm draws inspiration from the Shrink-On-No-Overlaps (SONO) (Pieranski 1998 In
Ideal knots
(eds A Stasiak, V Katritch, LH Kauffman), vol. 19, pp. 20–41.) algorithm for the tightening of knots and links: we call it Periodic-Branched Shrink-On-No-Overlaps (PB-SONO). We reproduce published results for ideal configurations of knots using PB-SONO. We then examine ideal geometry for finite entangled graphs, including
θ
-graphs and entangled tetrahedron- and cube-graphs. Finally, we compute ideal conformations of periodic weavings and entangled nets. The resulting ideal geometry is intriguing: we see spontaneous symmetrisation in some cases, breaking of symmetry in others, as well as configurations reminiscent of biological and chemical structures in nature.
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Affiliation(s)
- Myfanwy E. Evans
- Department of Mathematics, TU Berlin, Str. des 17. Juni 136, Berlin 10623, Germany
| | - Vanessa Robins
- Department of Applied Mathematics, Research School of Physics and Engineering, 60 Mills Road, The Australian National University, Acton ACT 2601, Australia
| | - Stephen T. Hyde
- Department of Applied Mathematics, Research School of Physics and Engineering, 60 Mills Road, The Australian National University, Acton ACT 2601, Australia
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Evans ME, Roth R. Solvation of a sponge-like geometry. PURE APPL CHEM 2014. [DOI: 10.1515/pac-2014-5027] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
Periodic entanglements of filaments and networks, which resemble sponge-like materials, are often found as self-assembled materials. The interaction between the geometry of the assembly and a solvent in its interstices can dictate the geometric configuration of the structure as well as influence macroscopic properties such as swelling and mechanics. In this paper, we show the calculation of the solvation free energy as a function of the solute–solvent interaction from hydrophilic to hydrophobic, for a candidate entanglement of filaments. We do this using the morphometric approach to solvation free energy, a method that disentangles geometric properties from thermodynamic coefficients, which we compute via density functional theory.
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Affiliation(s)
| | - Roland Roth
- Institut für Theoretische Physik, Universität Tübingen, Germany
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Kirkensgaard JJK, Evans ME, de Campo L, Hyde ST. Hierarchical self-assembly of a striped gyroid formed by threaded chiral mesoscale networks. Proc Natl Acad Sci U S A 2014; 111:1271-6. [PMID: 24474747 PMCID: PMC3910609 DOI: 10.1073/pnas.1316348111] [Citation(s) in RCA: 35] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Numerical simulations reveal a family of hierarchical and chiral multicontinuous network structures self-assembled from a melt blend of Y-shaped ABC and ABD three-miktoarm star terpolymers, constrained to have equal-sized A/B and C/D chains, respectively. The C and D majority domains within these patterns form a pair of chiral enantiomeric gyroid labyrinths (srs nets) over a broad range of compositions. The minority A and B components together define a hyperbolic film whose midsurface follows the gyroid minimal surface. A second level of assembly is found within the film, with the minority components also forming labyrinthine domains whose geometry and topology changes systematically as a function of composition. These smaller labyrinths are well described by a family of patterns that tile the hyperbolic plane by regular degree-three trees mapped onto the gyroid. The labyrinths within the gyroid film are densely packed and contain either graphitic hcb nets (chicken wire) or srs nets, forming convoluted intergrowths of multiple nets. Furthermore, each net is ideally a single chiral enantiomer, induced by the gyroid architecture. However, the numerical simulations result in defect-ridden achiral patterns, containing domains of either hand, due to the achiral terpolymeric starting molecules. These mesostructures are among the most topologically complex morphologies identified to date and represent an example of hierarchical ordering within a hyperbolic pattern, a unique mode of soft-matter self-assembly.
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Affiliation(s)
| | - Myfanwy E. Evans
- Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 7B, 91058 Erlangen, Germany; and
| | - Liliana de Campo
- Department of Applied Mathematics, Research School of Physical Sciences, Australian National University, Canberra, ACT 0200, Australia
| | - Stephen T. Hyde
- Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen, Denmark
- Department of Applied Mathematics, Research School of Physical Sciences, Australian National University, Canberra, ACT 0200, Australia
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Hyde ST, Schröder-Turk GE. Geometry of interfaces: topological complexity in biology and materials. Interface Focus 2012. [DOI: 10.1098/rsfs.2012.0035] [Citation(s) in RCA: 40] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022] Open
Affiliation(s)
- Stephen T. Hyde
- Department of Applied Mathematics, Research School of Physics and Engineering, The Australian National University, Canberra, Australian Capital Territory 0200, Australia
| | - Gerd E. Schröder-Turk
- Theoretische Physik, Friedrich-Alexander Universität Erlangen-Nürnberg, Staudtstrasse 7B, 91058 Erlangen, Germany
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