1
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Connor JP, Quinn SD, Schaefer C. Sticker-and-spacer model for amyloid beta condensation and fibrillation. Front Mol Neurosci 2022; 15:962526. [PMID: 36311031 PMCID: PMC9611774 DOI: 10.3389/fnmol.2022.962526] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2022] [Accepted: 09/14/2022] [Indexed: 11/17/2022] Open
Abstract
A major pathogenic hallmark of Alzheimer's disease is the presence of neurotoxic plaques composed of amyloid beta (Aβ) peptides in patients' brains. The pathway of plaque formation remains elusive, though some clues appear to lie in the dominant presence of Aβ1 − 42 in these plaques despite Aβ1−40 making up approximately 90% of the Aβ pool. We hypothesize that this asymmetry is driven by the hydrophobicity of the two extra amino acids that are incorporated in Aβ1−42. To investigate this hypothesis at the level of single molecules, we have developed a molecular “sticker-and-spacer lattice model” of unfolded Aβ. The model protein has a single sticker that may reversibly dimerise and elongate into semi-flexible linear chains. The growth is hampered by excluded-volume interactions that are encoded by the hydrophilic spacers but are rendered cooperative by the attractive interactions of hydrophobic spacers. For sufficiently strong hydrophobicity, the chains undergo liquid-liquid phase-separation (LLPS) into condensates that facilitate the nucleation of fibers. We find that a small fraction of Aβ1−40 in a mixture of Aβ1−40 and Aβ1−42 shifts the critical concentration for LLPS to lower values. This study provides theoretical support for the hypothesis that LLPS condensates act as a precursor for aggregation and provides an explanation for the Aβ1−42-enrichment of aggregates in terms of hydrophobic interactions.
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Affiliation(s)
- Jack P. Connor
- Department of Biology, University of York, York, United Kingdom
- School of Physics, Engineering and Technology, University of York, York, United Kingdom
- Astbury Centre for Structural Molecular Biology, School of Molecular and Cellular Biology, University of Leeds, Leeds, United Kingdom
- *Correspondence: Jack P. Connor
| | - Steven D. Quinn
- School of Physics, Engineering and Technology, University of York, York, United Kingdom
- York Biomedical Research Institute, University of York, York, United Kingdom
| | - Charley Schaefer
- School of Physics, Engineering and Technology, University of York, York, United Kingdom
- Charley Schaefer
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2
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Müller M. Memory in the relaxation of a polymer density modulation. J Chem Phys 2022; 156:124902. [DOI: 10.1063/5.0084602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Marcus Müller
- Institute for Theoretical Physics, Georg August University Gottingen Faculty of Physics, Germany
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3
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Mantha S, Qi S, Schmid F. Bottom-up Construction of Dynamic Density Functional Theories for Inhomogeneous Polymer Systems from Microscopic Simulations. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c00130] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Sriteja Mantha
- Institut für Physik, Johannes Gutenberg Universität Mainz, Staudingerweg 9, 55128 Mainz, Germany
| | - Shuanhu Qi
- Key Laboratory of Bio-inspired Smart Interfacial Science and Technology of Ministry of Education, School of Chemistry, Beihang University, Beijing 100191, China
| | - Friederike Schmid
- Institut für Physik, Johannes Gutenberg Universität Mainz, Staudingerweg 9, 55128 Mainz, Germany
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4
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Affiliation(s)
- Gaoyuan Wang
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
| | - Yongzhi Ren
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
- Key Lab of In-fiber Integrated Optics, Ministry Education of China, Harbin Engineering University, Harbin, China
- State Key Laboratory of Molecular Engineering of Polymers, Fudan University, Shanghai, China
| | - Marcus Müller
- Institute for Theoretical Physics, Georg-August-University, 37077 Göttingen, Germany
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5
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Zhang L, Liu L, Lin J. Well-ordered self-assembled nanostructures of block copolymer films via synergistic integration of chemoepitaxy and zone annealing. Phys Chem Chem Phys 2018; 20:498-508. [DOI: 10.1039/c7cp06261c] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
The integrated chemical template/zone annealing method has the capability to rapidly fabricate well-aligned and well-oriented nanostructures over a macroscopic area.
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Affiliation(s)
- Liangshun Zhang
- Shanghai Key Laboratory of Advanced Polymeric Materials
- State Key Laboratory of Bioreactor Engineering
- Key Laboratory for Ultrafine Materials of Ministry of Education
- School of Materials Science and Engineering
- East China University of Science and Technology
| | - Lingling Liu
- Shanghai Key Laboratory of Advanced Polymeric Materials
- State Key Laboratory of Bioreactor Engineering
- Key Laboratory for Ultrafine Materials of Ministry of Education
- School of Materials Science and Engineering
- East China University of Science and Technology
| | - Jiaping Lin
- Shanghai Key Laboratory of Advanced Polymeric Materials
- State Key Laboratory of Bioreactor Engineering
- Key Laboratory for Ultrafine Materials of Ministry of Education
- School of Materials Science and Engineering
- East China University of Science and Technology
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6
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Qi S, Schmid F. Dynamic Density Functional Theories for Inhomogeneous Polymer Systems Compared to Brownian Dynamics Simulations. Macromolecules 2017. [DOI: 10.1021/acs.macromol.7b02017] [Citation(s) in RCA: 19] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Shuanhu Qi
- Institut für
Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg
7, D-55099 Mainz, Germany
| | - Friederike Schmid
- Institut für
Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg
7, D-55099 Mainz, Germany
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7
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Müller M, Li W, Rey JCO, Welling U. Kinetics of directed self-assembly of block copolymers on chemically patterned substrates. ACTA ACUST UNITED AC 2015. [DOI: 10.1088/1742-6596/640/1/012010] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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8
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Grzetic DJ, Wickham RA, Shi AC. Statistical dynamics of classical systems: A self-consistent field approach. J Chem Phys 2014; 140:244907. [DOI: 10.1063/1.4884825] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Douglas J. Grzetic
- Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1, Canada
| | - Robert A. Wickham
- Department of Physics, University of Guelph, Guelph, Ontario N1G 2W1, Canada
| | - An-Chang Shi
- Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4M1, Canada
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Xu Y, Feng J, Zhang Z, Wang Y, Chen J, Zhu X. Depletion phenomenon in diblock copolymer films: a dissipative particle dynamics simulation. MOLECULAR SIMULATION 2010. [DOI: 10.1080/08927021003664033] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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10
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Descas R, Sommer JU, Blumen A. Grafted Polymer Chains Interacting with Substrates: Computer Simulations and Scaling. MACROMOL THEOR SIMUL 2008. [DOI: 10.1002/mats.200800046] [Citation(s) in RCA: 50] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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11
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Uhlík F, Jelínek K, Limpouchová Z, Procházka K. Stimuli-Responsive Amphiphilic Shells of Kinetically Frozen Polymeric Micelles in Aqueous Media: Monte Carlo Simulations and Comparison to Self-Consistent Field Calculations. Macromolecules 2008. [DOI: 10.1021/ma071675q] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Filip Uhlík
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Karel Jelínek
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Zuzana Limpouchová
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
| | - Karel Procházka
- Department of Physical and Macromolecular Chemistry and Laboratory of Specialty Polymers, Charles University in Prague, Faculty of Science, Albertov 6, 128 43 Praha 2, Czech Republic
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He X, Schmid F. Dynamics of Spontaneous Vesicle Formation in Dilute Solutions of Amphiphilic Diblock Copolymers. Macromolecules 2006. [DOI: 10.1021/ma052536g] [Citation(s) in RCA: 105] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Xuehao He
- Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
| | - Friederike Schmid
- Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany
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13
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Descas R, Sommer JU, Blumen A. Irreversible adsorption of tethered chains at substrates: Monte Carlo study. J Chem Phys 2006; 124:94701. [PMID: 16526866 DOI: 10.1063/1.2159479] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The irreversible adsorption of single chains grafted with one end to the surface is studied using scaling arguments and computer simulations. We introduce a two-phase model, in which the chain is described by an adsorbate portion and a corona portion formed by nonadsorbed monomers. The adsorption process can be viewed as consisting of a main stage, during which monomers join by "zipping" (along their order in the chain) the surface, and a late stage, in which the remaining corona collapses on the surface. Based on our model we derive a scaling relation for the time of adsorption t(M) as a function of the number M of adsorbed monomers; t(M) follows a power law, M(alpha), with alpha > 1. We find that alpha is related to the Flory exponent nu by alpha = 1 + nu. Using further scaling arguments we derive relations between the overall time of adsorption, the characteristic time of adsorption (given by the crossover time between the main and the last stage of adsorption), and the chain length. To support our analysis we perform Monte Carlo simulations using the bond fluctuation model. In particular, the sequence of adsorption events is very well reproduced by the simulations, and an analysis of the various density profiles supports our theoretical model. Especially the loop formation during adsorption clearly shows that the growth of the adsorbate is dominated by zipping. The simulations are also in almost quantitative agreement with our theoretical scaling analysis, showing that here the assumption of a linear relation between Monte Carlo steps and time is well obeyed. We conclude by also discussing the geometrical shape of the adsorbate.
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Affiliation(s)
- Radu Descas
- Theoretische Polymerphysik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.
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Reister E, Müller M, Kumar SK. Equilibrium Phase Behavior of Polybutadiene/Polyisoprene Films: Binodals and Spinodals. Macromolecules 2005. [DOI: 10.1021/ma0473465] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ellen Reister
- II. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany
| | - Marcus Müller
- Department of Physics, University of Wisconsin-Madison, 1150 University Avenue, Madison, Wisconsin 53706-1390
| | - Sanat K. Kumar
- Department of Chemical Engineering, Rensselaer Polytechnic Institute, Troy, New York 12180
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Müller M, Smith GD. Phase separation in binary mixtures containing polymers: A quantitative comparison of single-chain-in-mean-field simulations and computer simulations of the corresponding multichain systems. ACTA ACUST UNITED AC 2005. [DOI: 10.1002/polb.20385] [Citation(s) in RCA: 135] [Impact Index Per Article: 7.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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