1
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Song J, Holten-Andersen N, McKinley GH. Non-Maxwellian viscoelastic stress relaxations in soft matter. SOFT MATTER 2023; 19:7885-7906. [PMID: 37846782 DOI: 10.1039/d3sm00736g] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/18/2023]
Abstract
Viscoelastic stress relaxation is a basic characteristic of soft matter systems such as colloids, gels, and biological networks. Although the Maxwell model of linear viscoelasticity provides a classical description of stress relaxation, it is often not sufficient for capturing the complex relaxation dynamics of soft matter. In this Tutorial, we introduce and discuss the physics of non-Maxwellian linear stress relaxation as observed in soft materials, the ascribed origins of this effect in different systems, and appropriate models that can be used to capture this relaxation behavior. We provide a basic toolkit that can assist the understanding and modeling of the mechanical relaxation of soft materials for diverse applications.
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Affiliation(s)
- Jake Song
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
- Department of Mechanical Engineering, Stanford University, Stanford, CA 94305, USA.
| | - Niels Holten-Andersen
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
- Department of Bioengineering, Lehigh University, Bethlehem, PA 18015, USA
- Department of Materials Science and Engineering, Lehigh University, Bethlehem, PA 18015, USA
| | - Gareth H McKinley
- Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
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2
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McCraw MR, Uluutku B, Solomon HD, Anderson MS, Sarkar K, Solares SD. Optimizing the accuracy of viscoelastic characterization with AFM force-distance experiments in the time and frequency domains. SOFT MATTER 2023; 19:451-467. [PMID: 36530043 DOI: 10.1039/d2sm01331b] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/17/2023]
Abstract
Atomic Force Microscopy (AFM) force-distance (FD) experiments have emerged as an attractive alternative to traditional micro-rheology measurement techniques owing to their versatility of use in materials of a wide range of mechanical properties. Here, we show that the range of time dependent behaviour which can reliably be resolved from the typical method of FD inversion (fitting constitutive FD relations to FD data) is inherently restricted by the experimental parameters: sampling frequency, experiment length, and strain rate. Specifically, we demonstrate that violating these restrictions can result in errors in the values of the parameters of the complex modulus. In the case of complex materials, such as cells, whose behaviour is not specifically understood a priori, the physical sensibility of these parameters cannot be assessed and may lead to falsely attributing a physical phenomenon to an artifact of the violation of these restrictions. We use arguments from information theory to understand the nature of these inconsistencies as well as devise limits on the range of mechanical parameters which can be reliably obtained from FD experiments. The results further demonstrate that the nature of these restrictions depends on the domain (time or frequency) used in the inversion process, with the time domain being far more restrictive than the frequency domain. Finally, we demonstrate how to use these restrictions to better design FD experiments to target specific timescales of a material's behaviour through our analysis of a polydimethylsiloxane (PDMS) polymer sample.
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Affiliation(s)
- Marshall R McCraw
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
| | - Berkin Uluutku
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
| | - Halen D Solomon
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
| | - Megan S Anderson
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
| | - Kausik Sarkar
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
| | - Santiago D Solares
- Department of Mechanical and Aerospace Engineering, The George Washington University School of Engineering and Applied Science, Washington, District of Columbia, USA.
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3
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Huysecom AS, Thielemans W, Moldenaers P, Cardinaels R. A Generalized Mechano-statistical Transient Network Model for Unravelling the Network Topology and Elasticity of Hydrophobically Associating Multiblock Copolymers in Aqueous Solutions. Macromolecules 2023. [DOI: 10.1021/acs.macromol.2c01500] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/03/2023]
Affiliation(s)
- An-Sofie Huysecom
- Soft Matter, Rheology and Technology, Department of Chemical Engineering, KU Leuven, Celestijnenlaan 200J, 3001Leuven, Belgium
| | - Wim Thielemans
- Sustainable Materials Lab, Department of Chemical Engineering, KU Leuven, campus Kulak Kortrijk, Etienne Sabbelaan 53, 8500Kortrijk, Belgium
| | - Paula Moldenaers
- Soft Matter, Rheology and Technology, Department of Chemical Engineering, KU Leuven, Celestijnenlaan 200J, 3001Leuven, Belgium
| | - Ruth Cardinaels
- Soft Matter, Rheology and Technology, Department of Chemical Engineering, KU Leuven, Celestijnenlaan 200J, 3001Leuven, Belgium
- Processing and Performance of Materials, Department of Mechanical Engineering, TU Eindhoven, Box 513, 5600 MB Eindhoven, The Netherlands
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4
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Zhang XN, Du C, Wang YJ, Hou LX, Du M, Zheng Q, Wu ZL. Influence of the α-Methyl Group on Elastic-To-Glassy Transition of Supramolecular Hydrogels with Hydrogen-Bond Associations. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c00829] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Xin Ning Zhang
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Cong Du
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Yan Jie Wang
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Li Xin Hou
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Miao Du
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Qiang Zheng
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Zi Liang Wu
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
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5
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Mahmad Rasid I, Rao A, Holten-Andersen N, Olsen BD. Self-Diffusion in a Weakly Entangled Associative Network. Macromolecules 2022. [DOI: 10.1021/acs.macromol.2c00295] [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]
Affiliation(s)
- Irina Mahmad Rasid
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Ameya Rao
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Niels Holten-Andersen
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Bradley D. Olsen
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
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6
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Zhao J, Guo J, Creton C, Hui CY, Narita T. Dynamics of Hydrogels with a Variable Ratio of Permanent and Transient Cross-Links: Constitutive Model and Its Molecular Interpretation. Macromolecules 2022. [DOI: 10.1021/acs.macromol.1c02440] [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]
Affiliation(s)
- Jingwen Zhao
- Laboratoire Sciences et Ingénierie de la Matière Molle, ESPCI Paris, PSL University, Sorbonne Université, CNRS, F-75005 Paris, France
| | - Jingyi Guo
- Department of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, United States
| | - Costantino Creton
- Laboratoire Sciences et Ingénierie de la Matière Molle, ESPCI Paris, PSL University, Sorbonne Université, CNRS, F-75005 Paris, France
- Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo 001-0021, Japan
| | - Chung Yuen Hui
- Department of Mechanical and Aerospace Engineering, Field of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, United States
- Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo 001-0021, Japan
| | - Tetsuharu Narita
- Laboratoire Sciences et Ingénierie de la Matière Molle, ESPCI Paris, PSL University, Sorbonne Université, CNRS, F-75005 Paris, France
- Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo 001-0021, Japan
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7
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Wu S, Chen Q. Advances and New Opportunities in the Rheology of Physically and Chemically Reversible Polymers. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c01605] [Citation(s) in RCA: 14] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/07/2023]
Affiliation(s)
- Shilong Wu
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China
| | - Quan Chen
- State Key Laboratory of Polymer Physics and Chemistry, Changchun Institute of Applied Chemistry, Chinese Academy of Sciences, Changchun 130022, China
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8
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Hong W, Lin J, Tian X, Wang L. Linear and nonlinear viscoelasticity of self-associative hydrogen-bonded polymers. POLYMER 2021. [DOI: 10.1016/j.polymer.2021.124301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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9
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Taniguchi T, Urayama K. Linear Dynamic Viscoelasticity of Dual Cross-Link Poly(Vinyl Alcohol) Hydrogel with Determined Borate Ion Concentration. Gels 2021; 7:71. [PMID: 34198560 PMCID: PMC8293174 DOI: 10.3390/gels7020071] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/22/2021] [Revised: 05/31/2021] [Accepted: 06/10/2021] [Indexed: 01/03/2023] Open
Abstract
We investigated the linear dynamic viscoelasticity of dual cross-link (DC) poly(vinyl alcohol) (PVA) (DC-PVA) hydrogels with permanent and transient cross-links. The concentrations of incorporated borate ions to form transient cross-links in the DC-PVA hydrogels (CBIN) were determined by the azomethine-H method. The dynamic viscoelasticity of the DC-PVA hydrogel cannot be described by a simple sum of the dynamic viscoelasticity of the PVA gel with the same permanent cross-link concentration and the PVA aqueous solution with the same borate ion concentration (CB = CBIN) as in the DC-PVA gel. The DC-PVA hydrogel exhibited a considerably higher relaxation strength, indicating that the introduction of permanent cross-links into temporary networks increases the number of viscoelastic chains with finite relaxation times. In contrast, the relaxation frequency (ωc) (given by the frequency at the maximum of loss modulus) for the DC-PVA hydrogel was slightly lower but comparable to that for a dilute PVA solution with the same CB. This signifies that the relaxation dynamics of the DC-PVA hydrogels is essentially governed by the lifetime of an interchain transient cross-link (di-diol complex of boron). The effect of permanent cross-linking on the relaxation dynamics was observed in the finite broadening of the relaxation-time distribution in the long time region.
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Affiliation(s)
| | - Kenji Urayama
- Department of Macromolecular Science and Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan;
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10
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Du C, Zhang XN, Sun TL, Du M, Zheng Q, Wu ZL. Hydrogen-Bond Association-Mediated Dynamics and Viscoelastic Properties of Tough Supramolecular Hydrogels. Macromolecules 2021. [DOI: 10.1021/acs.macromol.1c00152] [Citation(s) in RCA: 36] [Impact Index Per Article: 12.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Affiliation(s)
- Cong Du
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Xin Ning Zhang
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Tao Lin Sun
- South China Advanced Institute for Soft Matter Science and Technology, School of Molecular Science and Engineering, South China University of Technology, Guangzhou 510640, China
| | - Miao Du
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Qiang Zheng
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
| | - Zi Liang Wu
- Ministry of Education Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310027, China
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11
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Ricarte RG, Shanbhag S. Unentangled Vitrimer Melts: Interplay between Chain Relaxation and Cross-link Exchange Controls Linear Rheology. Macromolecules 2021. [DOI: 10.1021/acs.macromol.0c02530] [Citation(s) in RCA: 25] [Impact Index Per Article: 8.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/15/2022]
Affiliation(s)
- Ralm G. Ricarte
- Department of Chemical and Biomedical Engineering, FAMU-FSU College of Engineering, Tallahassee, Florida 32310, United States
| | - Sachin Shanbhag
- Department of Scientific Computing, Florida State University, Tallahassee, Florida 32306, United States
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12
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Stress-Structure Relationship of the Reversible Associating Polymer Network under Start-up Shear Flow. CHINESE JOURNAL OF POLYMER SCIENCE 2020. [DOI: 10.1007/s10118-020-2487-6] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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13
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Sacco P, Furlani F, Marfoglia A, Cok M, Pizzolitto C, Marsich E, Donati I. Temporary/Permanent Dual Cross‐Link Gels Formed of a Bioactive Lactose‐Modified Chitosan. Macromol Biosci 2020; 20:e2000236. [DOI: 10.1002/mabi.202000236] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/09/2020] [Revised: 09/09/2020] [Indexed: 01/09/2023]
Affiliation(s)
- Pasquale Sacco
- Department of Life Sciences University of Trieste Via Licio Giorgieri 5 Trieste I‐34127 Italy
| | - Franco Furlani
- Department of Life Sciences University of Trieste Via Licio Giorgieri 5 Trieste I‐34127 Italy
| | - Andrea Marfoglia
- Department of Life Sciences University of Trieste Via Licio Giorgieri 5 Trieste I‐34127 Italy
| | - Michela Cok
- Department of Life Sciences University of Trieste Via Licio Giorgieri 5 Trieste I‐34127 Italy
| | - Chiara Pizzolitto
- Department of Medicine, Surgery and Health Sciences University of Trieste Piazza dell'Ospitale 1 Trieste I‐34129 Italy
| | - Eleonora Marsich
- Department of Medicine, Surgery and Health Sciences University of Trieste Piazza dell'Ospitale 1 Trieste I‐34129 Italy
| | - Ivan Donati
- Department of Life Sciences University of Trieste Via Licio Giorgieri 5 Trieste I‐34127 Italy
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14
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Jiang N, Zhang H, Tang P, Yang Y. Linear Viscoelasticity of Associative Polymers: Sticky Rouse Model and the Role of Bridges. Macromolecules 2020. [DOI: 10.1021/acs.macromol.0c00312] [Citation(s) in RCA: 14] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023]
Affiliation(s)
- Nuofei Jiang
- State Key Laboratory of Molecular Engineering of Polymers, Department of Macromolecular Science, Fudan University, Shanghai 200433, China
| | - Hongdong Zhang
- State Key Laboratory of Molecular Engineering of Polymers, Department of Macromolecular Science, Fudan University, Shanghai 200433, China
| | - Ping Tang
- State Key Laboratory of Molecular Engineering of Polymers, Department of Macromolecular Science, Fudan University, Shanghai 200433, China
| | - Yuliang Yang
- State Key Laboratory of Molecular Engineering of Polymers, Department of Macromolecular Science, Fudan University, Shanghai 200433, China
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15
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Kimura T, Urayama K. Multiaxial Stress Relaxation of Dual-Cross-Link Poly(vinyl alcohol) Hydrogels. ACS Macro Lett 2020; 9:1-6. [PMID: 35638653 DOI: 10.1021/acsmacrolett.9b00896] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Dual-cross-link hydrogels, which are composed of poly(vinyl alcohol) chains cross-linked by covalent bonds and transient physical bonds via borate ions, have received considerable interest due to the high extensibility as well as the self-healing properties. The dual-cross-link gels exhibit pronounced stress relaxation after the imposition of step strain, reflecting the breaking dynamics of temporary chains which sustain the initial stress. Multiaxial stress relaxation experiments using equibiaxial, planar, and uniaxial stretching with various degrees of strain unambiguously validate the time-strain separability in relaxation stress for a general type of deformation. The time effect is satisfactorily described by an existing model, while the strain effect is well approximated by the neo-Hookean model. Furthermore, the magnitude of total stress relaxation to the initial stress is constant, independently of the type and degree of imposed strain. These simple features provide an important basis for formulating the constitutive models of the dual-cross-link gels and for molecular design of hydrogels with transient physical cross-links.
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Affiliation(s)
- Takuro Kimura
- Department of Macromolecular Science and Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan
| | - Kenji Urayama
- Department of Macromolecular Science and Engineering, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto 606-8585, Japan
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16
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Microrheological study of physical gelation on poly (acrylic acid) polymer hydrophobically modified with C14 alkyl chains, comparison with C18 chain length. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2019.111761] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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17
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Fischer T, Köhler J, Möller M, Singh S. Physical gels of poly(vinylamine) by thermal curing. RSC Adv 2020; 10:21933-21939. [PMID: 35516653 PMCID: PMC9054557 DOI: 10.1039/d0ra01607a] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/19/2020] [Accepted: 04/16/2020] [Indexed: 01/01/2023] Open
Abstract
Physical gels are a versatile class of materials which can find application in sensors, electrochemistry, biomedicine or rheological modifiers. Herein, we present a hydrogen-bonded physical gel which is based on the interaction between phenylcarbonate telechelic poly(ethylene glycol) (PEG-PC) and poly(vinyl amine-co-acetamide) (p(VAm-co-VAA)). The critical gelation concentration was found to be 10 wt% by rheology and NMR. UV-vis spectroscopy and dynamic light scattering reveal the formation of aggregates in the gel. Rheology and differential scanning calorimetry (DSC) was used to show the effect of thermal curing on the mechanical properties of the physical gel. Repeated heating cooling cycles can anneal inhomogeneity in physical gels and significantly improve their mechanical properties.![]()
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Affiliation(s)
- Thorsten Fischer
- DWI-Leibniz-Institute for Interactive Materials, e.V
- RWTH Aachen University
- D-52074 Aachen
- Germany
| | - Jens Köhler
- DWI-Leibniz-Institute for Interactive Materials, e.V
- RWTH Aachen University
- D-52074 Aachen
- Germany
| | - Martin Möller
- DWI-Leibniz-Institute for Interactive Materials, e.V
- RWTH Aachen University
- D-52074 Aachen
- Germany
- A. N. Nesemeyanov Institute of Organoelement Compounds of Russian Academy of Sciences (INEOS RAS)
| | - Smriti Singh
- DWI-Leibniz-Institute for Interactive Materials, e.V
- RWTH Aachen University
- D-52074 Aachen
- Germany
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18
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Microrheological study of PVA/borax physical gels: Effect of chain length and elastic reinforcement by sodium hydroxide addition. J Mol Liq 2019. [DOI: 10.1016/j.molliq.2019.111272] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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19
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Furlani F, Sacco P, Cok M, de Marzo G, Marsich E, Paoletti S, Donati I. Biomimetic, Multiresponsive, and Self-Healing Lactose-Modified Chitosan (CTL)-Based Gels Formed via Competitor-Assisted Mechanism. ACS Biomater Sci Eng 2019; 5:5539-5547. [DOI: 10.1021/acsbiomaterials.9b01256] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/12/2023]
Affiliation(s)
- Franco Furlani
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
| | - Pasquale Sacco
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
| | - Michela Cok
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
| | - Gaia de Marzo
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
| | - Eleonora Marsich
- Department of Medicine, Surgery, and Health Sciences, University of Trieste, Piazza dell’Ospitale 1, I-34129 Trieste, Italy
| | - Sergio Paoletti
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
| | - Ivan Donati
- Department of Life Sciences, University of Trieste, Via L. Giorgieri 5, I-34127 Trieste, Italy
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20
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Affiliation(s)
- Cong Du
- Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, QC H3A 0C5, Canada
| | - Reghan J. Hill
- Department of Chemical Engineering, McGill University, 3610 University Street, Montreal, QC H3A 0C5, Canada
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21
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Ahmadi M, Jangizehi A, van Ruymbeke E, Seiffert S. Deconvolution of the Effects of Binary Associations and Collective Assemblies on the Rheological Properties of Entangled Side-Chain Supramolecular Polymer Networks. Macromolecules 2019. [DOI: 10.1021/acs.macromol.9b00323] [Citation(s) in RCA: 25] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Mostafa Ahmadi
- Department of Polymer Engineering and Color Technology, Amirkabir University of Technology, 15875-4413 Tehran, Iran
- Institute of Physical Chemistry, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
| | - Amir Jangizehi
- Institute of Physical Chemistry, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
- Institute for Chemical Technology and Polymer Chemistry, Karlsruhe Institute of Technology (KIT), Engesserstraße 18, D-76131 Karlsruhe, Germany
| | - Evelyne van Ruymbeke
- Bio and Soft Matter, Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, Croix du Sud 1, B-1348 Louvain-la-Neuve, Belgium
| | - Sebastian Seiffert
- Institute of Physical Chemistry, Johannes Gutenberg-Universität Mainz, Duesbergweg 10-14, D-55128 Mainz, Germany
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22
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Socol M, Wang R, Jost D, Carrivain P, Vaillant C, Le Cam E, Dahirel V, Normand C, Bystricky K, Victor JM, Gadal O, Bancaud A. Rouse model with transient intramolecular contacts on a timescale of seconds recapitulates folding and fluctuation of yeast chromosomes. Nucleic Acids Res 2019; 47:6195-6207. [PMID: 31114898 PMCID: PMC6614813 DOI: 10.1093/nar/gkz374] [Citation(s) in RCA: 38] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/08/2019] [Revised: 04/25/2019] [Accepted: 05/09/2019] [Indexed: 01/08/2023] Open
Abstract
DNA folding and dynamics along with major nuclear functions are determined by chromosome structural properties, which remain, thus far, elusive in vivo. Here, we combine polymer modeling and single particle tracking experiments to determine the physico-chemical parameters of chromatin in vitro and in living yeast. We find that the motion of reconstituted chromatin fibers can be recapitulated by the Rouse model using mechanical parameters of nucleosome arrays deduced from structural simulations. Conversely, we report that the Rouse model shows some inconsistencies to analyze the motion and structural properties inferred from yeast chromosomes determined with chromosome conformation capture techniques (specifically, Hi-C). We hence introduce the Rouse model with Transient Internal Contacts (RouseTIC), in which random association and dissociation occurs along the chromosome contour. The parametrization of this model by fitting motion and Hi-C data allows us to measure the kinetic parameters of the contact formation reaction. Chromosome contacts appear to be transient; associated to a lifetime of seconds and characterized by an attractive energy of -0.3 to -0.5 kBT. We suggest attributing this energy to the occurrence of histone tail-DNA contacts and notice that its amplitude sets chromosomes in 'theta' conditions, in which they are poised for compartmentalization and phase separation.
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Affiliation(s)
- Marius Socol
- LAAS-CNRS, Université de Toulouse, CNRS, F-31400 Toulouse, France
- IRIM, CNRS, University of Montpellier, France
| | - Renjie Wang
- Laboratoire de Biologie Moléculaire Eucaryote (LBME), Centre de Biologie Intégrative (CBI), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
- Material Science & Engineering School, Henan University of Technology, 450001 Zhengzhou, P.R. China
| | - Daniel Jost
- Univ. Grenoble Alpes, CNRS, CHU Grenoble Alpes, Grenoble INP, TIMC-IMAG, F-38000 Grenoble, France
| | - Pascal Carrivain
- Laboratoire de Physique, Ecole Normale Supérieure de Lyon, CNRS UMR 5672, Lyon 69007, France
| | - Cédric Vaillant
- Laboratoire de Physique, Ecole Normale Supérieure de Lyon, CNRS UMR 5672, Lyon 69007, France
| | - Eric Le Cam
- Genome Maintenance and Molecular Microscopy UMR8126, CNRS, Université Paris-Sud, Université Paris-Saclay, Gustave Roussy, F-94805 Villejuif Cedex France
| | - Vincent Dahirel
- Sorbonne Université, CNRS, Physicochimie des Electrolytes et Nanosystèmes interfaciaux, laboratoire PHENIX, F-75005 Paris, France
| | - Christophe Normand
- Laboratoire de Biologie Moléculaire Eucaryote (LBME), Centre de Biologie Intégrative (CBI), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
| | - Kerstin Bystricky
- Laboratoire de Biologie Moléculaire Eucaryote (LBME), Centre de Biologie Intégrative (CBI), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
| | - Jean-Marc Victor
- Sorbonne Université, CNRS, Laboratoire de Physique Théorique de la Matière Condensée, LPTMC, F-75005 Paris, France
| | - Olivier Gadal
- Laboratoire de Biologie Moléculaire Eucaryote (LBME), Centre de Biologie Intégrative (CBI), Université de Toulouse, CNRS, UPS, F-31062 Toulouse, France
| | - Aurélien Bancaud
- LAAS-CNRS, Université de Toulouse, CNRS, F-31400 Toulouse, France
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23
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Sacco P, Furlani F, Paoletti S, Donati I. pH-Assisted Gelation of Lactose-Modified Chitosan. Biomacromolecules 2019; 20:3070-3075. [DOI: 10.1021/acs.biomac.9b00636] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Pasquale Sacco
- Department of Life Sciences, University of Trieste, Via Licio Giorgieri 5, I-34127 Trieste, Italy
| | - Franco Furlani
- Department of Life Sciences, University of Trieste, Via Licio Giorgieri 5, I-34127 Trieste, Italy
| | - Sergio Paoletti
- Department of Life Sciences, University of Trieste, Via Licio Giorgieri 5, I-34127 Trieste, Italy
| | - Ivan Donati
- Department of Life Sciences, University of Trieste, Via Licio Giorgieri 5, I-34127 Trieste, Italy
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24
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Tito NB, Creton C, Storm C, Ellenbroek WG. Harnessing entropy to enhance toughness in reversibly crosslinked polymer networks. SOFT MATTER 2019; 15:2190-2203. [PMID: 30747183 DOI: 10.1039/c8sm02577k] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
Abstract
Reversible crosslinking is a design paradigm for polymeric materials, wherein they are microscopically reinforced with chemical species that form transient crosslinks between the polymer chains. Besides the potential for self-healing, recent experimental work suggests that freely diffusing reversible crosslinks in polymer networks, such as gels, can enhance the toughness of the material without substantial change in elasticity. This presents the opportunity for making highly elastic materials that can be strained to a large extent before rupturing. Here, we employ Gaussian chain theory, molecular simulation, and polymer self-consistent field theory for networks to construct an equilibrium picture for how reversible crosslinks can toughen a polymer network without affecting its elasticity. Maximisation of polymer entropy drives the reversible crosslinks to bind preferentially near the permanent crosslinks in the network, leading to local molecular reinforcement without significant alteration of the network topology. In equilibrium conditions, permanent crosslinks share effectively the load with neighbouring reversible crosslinks, forming multi-functional crosslink points. The network is thereby globally toughened, while the linear elasticity is left largely unaltered. Practical guidelines are proposed to optimise this design in experiment, along with a discussion of key kinetic and timescale considerations.
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Affiliation(s)
- Nicholas B Tito
- Department of Applied Physics, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands. and Institute for Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands
| | - Costantino Creton
- École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI) ParisTech, UMR 7615, 10, Rue Vauquelin, 75231 Paris Cédex 05, France and CNRS, UMR 7615, 10, Rue Vauquelin, 75231 Paris Cédex 05, France and Sorbonne-Universités, Université Pierre et Marie Curie (UPMC) Université Paris 06, UMR 7615, 10, Rue Vauquelin, 75231 Paris Cédex 05, France
| | - Cornelis Storm
- Department of Applied Physics, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands. and Institute for Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands
| | - Wouter G Ellenbroek
- Department of Applied Physics, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands. and Institute for Complex Molecular Systems, Eindhoven University of Technology, PO Box 513, 5600 MB, Eindhoven, The Netherlands
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25
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Martinetti L, Carey-De La Torre O, Schweizer KS, Ewoldt RH. Inferring the Nonlinear Mechanisms of a Reversible Network. Macromolecules 2018. [DOI: 10.1021/acs.macromol.8b01295] [Citation(s) in RCA: 20] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
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26
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Córdoba A. The Effects of the Interplay between Motor and Brownian Forces on the Rheology of Active Gels. J Phys Chem B 2018; 122:4267-4277. [PMID: 29578713 DOI: 10.1021/acs.jpcb.8b00238] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Active gels perform key mechanical roles inside the cell, such as cell division, motion, and force sensing. The unique mechanical properties required to perform such functions arise from the interactions between molecular motors and semiflexible polymeric filaments. Molecular motors can convert the energy released in the hydrolysis of ATP into forces of up to piconewton magnitudes. Moreover, the polymeric filaments that form active gels are flexible enough to respond to Brownian forces but also stiff enough to support the large tensions induced by the motor-generated forces. Brownian forces are expected to have a significant effect especially at motor activities at which stable noncontractile in vitro active gels are prepared for rheological measurements. Here, a microscopic mean-field theory of active gels originally formulated in the limit of motor-dominated dynamics is extended to include Brownian forces. In the model presented here, Brownian forces are included accurately, at real room temperature, even in systems with high motor activity. It is shown that a subtle interplay, or competition, between motor-generated forces and Brownian forces has an important impact on the mass transport and rheological properties of active gels. The model predictions show that at low frequencies the dynamic modulus of active gels is determined mostly by motor protein dynamics. However, Brownian forces significantly increase the breadth of the relaxation spectrum and can affect the shape of the dynamic modulus over a wide frequency range even for ratios of motor to Brownian forces of more than a hundred. Since the ratio between motor and Brownian forces is sensitive to ATP concentration, the results presented here shed some light on how the transient mechanical response of active gels changes with varying ATP concentration.
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Affiliation(s)
- Andrés Córdoba
- Department of Chemical Engineering , Universidad de Concepción , Concepción , Chile
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27
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Janssens W, Goderis B, Van Puyvelde P. The effect of shear history on urea containing gliadin solutions. JOURNAL OF POLYMER ENGINEERING 2017. [DOI: 10.1515/polyeng-2016-0188] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Abstract
Abstract
Currently, a substantial amount of research is devoted to gluten bioplastics. A promising processing route towards composites and films uses solutions of reduced gliadin. The addition of sufficient urea allows the preparation of highly concentrated gliadin solutions without an anomalous rheology. This is investigated in this paper by thixotropy experiments on gliadin solutions. These solutions show a balance between structural build-up due to molecular interactions and structural break-down induced by shear flow. Because of this, such protein solutions should be prepared with great caution. To assure a rheology suitable for processing, a shear history and a sufficient amount of added urea to disrupt molecular interactions are crucial.
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28
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Sing MK, Ramírez J, Olsen BD. Mechanical response of transient telechelic networks with many-part stickers. J Chem Phys 2017; 147:194902. [PMID: 29166120 DOI: 10.1063/1.4993649] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023] Open
Abstract
A central question in soft matter is understanding how several individual, weak bonds act together to produce collective interactions. Here, gel-forming telechelic polymers with multiple stickers at each chain end are studied through Brownian dynamics simulations to understand how collective interaction of the bonds affects mechanical response of the gels. These polymers are modeled as finitely extensible dumbbells using an explicit tau-leap algorithm and the binding energy of these associations was kept constant regardless of the number of stickers. The addition of multiple bonds to the associating ends of telechelic polymers increases or decreases the network relaxation time depending on the relative kinetics of association but increases both shear stress and extensional viscosity. The relationship between the rate of association and the Rouse time of dangling chains results in two different regimes for the equilibrium stress relaxation of associating physical networks. In case I, a dissociated dangling chain is able to fully relax before re-associating to the network, resulting in two characteristic relaxation times and a non-monotonic terminal relaxation time with increasing number of bonds per polymer endgroup. In case II, the dissociated dangling chain is only able to relax a fraction of the way before it re-attaches to the network, and increasing the number of bonds per endgroup monotonically increases the terminal relaxation time. In flow, increasing the number of stickers increases the steady-state shear and extensional viscosities even though the overall bond kinetics and equilibrium constant remain unchanged. Increased dissipation in the simulations is primarily due to higher average chain extension with increasing bond number. These results indicate that toughness and dissipation in physically associating networks can both be increased by breaking single, strong bonds into smaller components.
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Affiliation(s)
- Michelle K Sing
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - Jorge Ramírez
- Departamento de Ingeniería Química Industrial Y Medio Ambiente, Universidad Politécnica de Madrid, Madrid 28006, Spain
| | - Bradley D Olsen
- Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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29
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Lauber L, Depoorter J, Nicolai T, Chassenieux C, Colombani O. Viscoelastic Properties of Hydrogels Based on Self-Assembled Multisticker Polymers Grafted with pH-Responsive Grafts. Macromolecules 2017. [DOI: 10.1021/acs.macromol.7b01585] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Lionel Lauber
- IMMM-UMR CNRS 6283, Equipe
Polymères, Colloïdes et Interfaces, LUNAM Université, Le Mans Université, av. O. Messiaen, 72085 Cedex 9 Le Mans, France
| | - Jérémy Depoorter
- IMMM-UMR CNRS 6283, Equipe
Polymères, Colloïdes et Interfaces, LUNAM Université, Le Mans Université, av. O. Messiaen, 72085 Cedex 9 Le Mans, France
| | - Taco Nicolai
- IMMM-UMR CNRS 6283, Equipe
Polymères, Colloïdes et Interfaces, LUNAM Université, Le Mans Université, av. O. Messiaen, 72085 Cedex 9 Le Mans, France
| | - Christophe Chassenieux
- IMMM-UMR CNRS 6283, Equipe
Polymères, Colloïdes et Interfaces, LUNAM Université, Le Mans Université, av. O. Messiaen, 72085 Cedex 9 Le Mans, France
| | - Olivier Colombani
- IMMM-UMR CNRS 6283, Equipe
Polymères, Colloïdes et Interfaces, LUNAM Université, Le Mans Université, av. O. Messiaen, 72085 Cedex 9 Le Mans, France
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30
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Fumagalli M, Belal K, Guo H, Stoffelbach F, Cooke G, Marcellan A, Woisel P, Hourdet D. Supramolecular polymer hydrogels induced by host-guest interactions with di-[cyclobis(paraquat-p-phenylene)] cross-linkers: from molecular complexation to viscoelastic properties. SOFT MATTER 2017; 13:5269-5282. [PMID: 28676876 DOI: 10.1039/c7sm01051f] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Supramolecular polymer networks have been designed on the basis of a π-electron donor/acceptor complex: naphthalene (N)/cyclobis(paraquat-p-phenylene) (CBPQT4+ = B). For this purpose, a copolymer of N,N-dimethylacrylamide P(DMA-N1), lightly decorated with 1 mol% of naphthalene pendant groups, has been studied in semi-dilute un-entangled solution in the presence of di-CBPQT4+ (BB) crosslinker type molecules. While calorimetric experiments demonstrate the quantitative binding between N and B groups up to 60 °C, the introduction of BB crosslinkers into the polymer solution gives rise to gel formation above the overlap concentration. From a comprehensive investigation of viscoelastic properties, performed at different concentrations, host/guest stoichiometric ratios and temperatures, the supramolecular hydrogels are shown to follow a Maxwellian behavior with a strong correlation of the plateau modulus and the relaxation time with the effective amount of interchain cross-linkers and their dissociation dynamics, respectively. The calculation of the dissociation rate constant of the supramolecular complex, by extrapolation of the relaxation time of the network back to the beginning of the gel regime, is discussed in the framework of theoretical and experimental works on associating polymers.
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Affiliation(s)
- Matthieu Fumagalli
- Laboratoire Sciences et Ingénierie de la Matière Molle, CNRS, ESPCI Paris, PSL Research University, 10 rue Vauquelin, F-75005 Paris, France.
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31
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Dupré de Baubigny J, Trégouët C, Salez T, Pantoustier N, Perrin P, Reyssat M, Monteux C. One-Step Fabrication of pH-Responsive Membranes and Microcapsules through Interfacial H-Bond Polymer Complexation. Sci Rep 2017; 7:1265. [PMID: 28455535 PMCID: PMC5430763 DOI: 10.1038/s41598-017-01374-3] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/24/2016] [Accepted: 03/27/2017] [Indexed: 11/09/2022] Open
Abstract
Biocompatible microencapsulation is of widespread interest for the targeted delivery of active species in fields such as pharmaceuticals, cosmetics and agro-chemistry. Capsules obtained by the self-assembly of polymers at interfaces enable the combination of responsiveness to stimuli, biocompatibility and scaled up production. Here, we present a one-step method to produce in situ membranes at oil-water interfaces, based on the hydrogen bond complexation of polymers between H-bond acceptor and donor in the oil and aqueous phases, respectively. This robust process is realized through different methods, to obtain capsules of various sizes, from the micrometer scale using microfluidics or rotor-stator emulsification up to the centimeter scale using drop dripping. The polymer layer exhibits unique self-healing and pH-responsive properties. The membrane is viscoelastic at pH = 3, softens as pH is progressively raised, and eventually dissolves above pH = 6 to release the oil phase. This one-step method of preparation paves the way to the production of large quantities of functional capsules.
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Affiliation(s)
- Julien Dupré de Baubigny
- ESPCI Paris, PSL Research University, CNRS UMR 7615, Laboratoire Sciences et Ingénierie de la Matière Molle, 10 rue Vauquelin, 75231, Paris, Cedex 05, France
| | - Corentin Trégouët
- ESPCI Paris, PSL Research University, CNRS UMR 7615, Laboratoire Sciences et Ingénierie de la Matière Molle, 10 rue Vauquelin, 75231, Paris, Cedex 05, France
| | - Thomas Salez
- ESPCI Paris, PSL Research University, CNRS UMR 7083, Laboratoire Gulliver, 10 rue Vauquelin, 75231, Paris, Cedex 05, France
- Global Institution for Collaborative Research and Education, Global Station for Soft Matter, Hokkaido University, Sapporo, Hokkaido, 060-0808, Japan
| | - Nadège Pantoustier
- ESPCI Paris, PSL Research University, CNRS UMR 7615, Laboratoire Sciences et Ingénierie de la Matière Molle, 10 rue Vauquelin, 75231, Paris, Cedex 05, France
| | - Patrick Perrin
- ESPCI Paris, PSL Research University, CNRS UMR 7615, Laboratoire Sciences et Ingénierie de la Matière Molle, 10 rue Vauquelin, 75231, Paris, Cedex 05, France
| | - Mathilde Reyssat
- ESPCI Paris, PSL Research University, CNRS UMR 7083, Laboratoire Gulliver, 10 rue Vauquelin, 75231, Paris, Cedex 05, France.
| | - Cécile Monteux
- ESPCI Paris, PSL Research University, CNRS UMR 7615, Laboratoire Sciences et Ingénierie de la Matière Molle, 10 rue Vauquelin, 75231, Paris, Cedex 05, France.
- Global Institution for Collaborative Research and Education, Global Station for Soft Matter, Hokkaido University, Sapporo, Hokkaido, 060-0808, Japan.
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32
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Schubert C, Osterwinter C, Tonhauser C, Schömer M, Wilms D, Frey H, Friedrich C. Can Hyperbranched Polymers Entangle? Effect of Hydrogen Bonding on Entanglement Transition and Thermorheological Properties of Hyperbranched Polyglycerol Melts. Macromolecules 2016. [DOI: 10.1021/acs.macromol.6b00674] [Citation(s) in RCA: 25] [Impact Index Per Article: 3.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/27/2023]
Affiliation(s)
- Christian Schubert
- Freiburg
Materials Research Center (FMF), and Institute of Macromolecular Chemistry, University of Freiburg, Freiburg, Germany
- Institute
of Organic Chemistry, Organic and Macromolecular Chemistry, University of Mainz, Mainz, Germany
| | - Carina Osterwinter
- Freiburg
Materials Research Center (FMF), and Institute of Macromolecular Chemistry, University of Freiburg, Freiburg, Germany
| | - Christoph Tonhauser
- Institute
of Organic Chemistry, Organic and Macromolecular Chemistry, University of Mainz, Mainz, Germany
| | - Martina Schömer
- Institute
of Organic Chemistry, Organic and Macromolecular Chemistry, University of Mainz, Mainz, Germany
| | - Daniel Wilms
- Institute
of Organic Chemistry, Organic and Macromolecular Chemistry, University of Mainz, Mainz, Germany
| | - Holger Frey
- Institute
of Organic Chemistry, Organic and Macromolecular Chemistry, University of Mainz, Mainz, Germany
| | - Christian Friedrich
- Freiburg
Materials Research Center (FMF), and Institute of Macromolecular Chemistry, University of Freiburg, Freiburg, Germany
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33
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Ahmadi M, Hawke LGD, Goldansaz H, van Ruymbeke E. Dynamics of Entangled Linear Supramolecular Chains with Sticky Side Groups: Influence of Hindered Fluctuations. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b00733] [Citation(s) in RCA: 84] [Impact Index Per Article: 9.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/28/2023]
Affiliation(s)
- Mostafa Ahmadi
- Department
of Polymer Engineering and Color Technology, Amirkabir University of Technology, No. 424, Hafez Avenue, Tehran 15875-4413, Iran
| | - Laurence G. D. Hawke
- Bio
and Soft Matter Division (BSMA), Institut de la Matière Condensée
et des Nanosciences (IMCN), Université catholique de Louvain, Place Croix du Sud 1, 1348 Louvain-la-Neuve, Belgium
| | - Hadi Goldansaz
- Bio
and Soft Matter Division (BSMA), Institut de la Matière Condensée
et des Nanosciences (IMCN), Université catholique de Louvain, Place Croix du Sud 1, 1348 Louvain-la-Neuve, Belgium
| | - Evelyne van Ruymbeke
- Bio
and Soft Matter Division (BSMA), Institut de la Matière Condensée
et des Nanosciences (IMCN), Université catholique de Louvain, Place Croix du Sud 1, 1348 Louvain-la-Neuve, Belgium
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34
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Victorov AI, Voznesenskiy MA, Safonova EA. Spatial networks in solutions of wormlike aggregates: universal behaviour and molecular portraits. RUSSIAN CHEMICAL REVIEWS 2015. [DOI: 10.1070/rcr4524] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
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35
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Sing MK, Wang ZG, McKinley GH, Olsen BD. Celebrating Soft Matter's 10th Anniversary: chain configuration and rate-dependent mechanical properties in transient networks. SOFT MATTER 2015; 11:2085-2096. [PMID: 25607419 DOI: 10.1039/c4sm02181a] [Citation(s) in RCA: 21] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
Numerical solution of a coupled set of Smoluchowski convection-diffusion equations of associating polymers modelled as finitely extensible dumbbells enables computation of time-dependent end-to-end distributions for bridged, dangling, and looped chains in three dimensions as a function of associating end-group kinetics. Non-monotonic flow curves which can lead to flow instabilities during shear flow result at low equilibrium constant and high association rate from two complementary phenomena: a decrease in the fraction of elastically active chains with increasing shear rate and non-monotonic extension in the population of elastically active chains. Chain tumbling leads to reformation of bridges, resulting in an increased fraction of bridged chains at high Deborah number and significant reduction in the average bridge chain extension. In the start-up of steady shear, force-activated chain dissociation and chain tumbling cause both stress overshoot and stress ringing behaviour prior to reaching steady state stress values. During stress relaxation following steady shear, chain kinetics and extension mediate both the number of relaxations and the length of time required for system relaxation. While at low association rate relaxation is limited by the relaxation of dangling chains and the rate of dangling chain formation, at high association rate coupling of dangling and bridged chains leads to simultaneous relaxation of all chains due to a dynamic equilibrium between dangling and bridged states.
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Affiliation(s)
- Michelle K Sing
- Department of Materials Science and Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
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36
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Tang S, Wang M, Olsen BD. Anomalous self-diffusion and sticky Rouse dynamics in associative protein hydrogels. J Am Chem Soc 2015; 137:3946-57. [PMID: 25764061 DOI: 10.1021/jacs.5b00722] [Citation(s) in RCA: 90] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/17/2023]
Abstract
Natural and synthetic materials based on associating polymers possess diverse mechanical behavior, transport properties and responsiveness to external stimuli. Although much is known about their dynamics on the molecular and macroscopic level, knowledge of self-diffusive dynamics of the network-forming constituents remains limited. Using forced Rayleigh scattering, anomalous self-diffusion is observed in model associating protein hydrogels originating from the interconversion between species that diffuse in both the molecular and associated state. The diffusion can be quantitatively modeled using a two-state model for polymers in the gel, where diffusivity in the associated state is critical to the super diffusive behavior. The dissociation time from bulk rheology measurements was 2-3 orders of magnitude smaller than the one measured by diffusion, because the former characterizes submolecular dissociation dynamics, whereas the latter depicts single protein molecules completely disengaging from the network. Rheological data also show a sticky Rouse-like relaxation at long times due to collective relaxation of large groups of proteins, suggesting mobility of associated molecules. This study experimentally demonstrates a hierarchy of relaxation processes in associating polymer networks, and it is anticipated that the results can be generalized to other associative systems to better understand the relationship of dynamics among sticky bonds, single molecules, and the entire network.
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Affiliation(s)
- Shengchang Tang
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Muzhou Wang
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
| | - Bradley D Olsen
- Department of Chemical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, Massachusetts 02139, United States
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37
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Córdoba A, Schieber JD, Indei T. The role of filament length, finite-extensibility and motor force dispersity in stress relaxation and buckling mechanisms in non-sarcomeric active gels. SOFT MATTER 2015; 11:38-57. [PMID: 25375087 DOI: 10.1039/c4sm01944j] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
After relaxing some assumptions we apply a single-chain mean-field mathematical model recently introduced [RSC Adv. (2014)] to describe the role of molecular motors in the mechanical properties of active gels. The model allows physics that are not available in models postulated on coarser levels of description. Moreover it proposes a level of description that allows the prediction of observables at time scales too difficult to achieve in multi-chain simulations for realistic filament lengths and densities. We model the semiflexible filaments that compose the active gel as bead-spring chains; molecular motors are accounted for by using a mean-field approach, in which filaments undergo transitions of one motor attachment state depending on the state of the probe filament. The level of description includes the end-to-end distance and attachment state of the filaments, and the motor-generated forces, as stochastic state variables which evolve according to a proposed differential Chapman-Kolmogorov equation. The motor-generated forces are drawn from a stationary distribution of motor stall forces. We consider bead-spring chains with multiple beads, explore the effect of finite-extensibility of the strands and incorporate into the model motor force distributions that have been measured experimentally. The model can no longer be solved analytically but is amenable to numerical simulation. This version of the model allows a more quantitative description of buckling dynamics [Lenz et. al. PRL, 2012, 108, 238107] and the dynamic modulus of active gels. The effect of finite extensibility of the filament strands on the dynamic modulus was also found to be in agreement with the microrheology experiments of Mizuno et. al., [Science, 2007, 315, 370-373].
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Affiliation(s)
- Andrés Córdoba
- Department of Chemical and Biological Engineering and Center for Molecular Study of Condensed Soft Matter, Illinois Institute of Technology, 3440 S. Dearborn St, Chicago, Illinois 60616, USA.
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38
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MAYUMI K, NARITA T, CRETON C. Mechanical Properties of Self-Recovery Tough Gels with Permanent and Reversible Crosslinks. KOBUNSHI RONBUNSHU 2015. [DOI: 10.1295/koron.2015-0041] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/08/2022]
Affiliation(s)
- Koichi MAYUMI
- Soft Matter Sciences and Engineering Laboratory, ESPCI ParisTech
| | - Tetsuharu NARITA
- Soft Matter Sciences and Engineering Laboratory, ESPCI ParisTech
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39
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Hayashi M, Noro A, Matsushita Y. Viscoelastic properties of supramolecular soft materials with transient polymer network. ACTA ACUST UNITED AC 2014. [DOI: 10.1002/polb.23479] [Citation(s) in RCA: 30] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
Affiliation(s)
- Mikihiro Hayashi
- Department of Applied Chemistry; Graduate School of Engineering, Nagoya University; Furo-cho Chikusa-ku Nagoya 464-8603 Japan
| | - Atsushi Noro
- Department of Applied Chemistry; Graduate School of Engineering, Nagoya University; Furo-cho Chikusa-ku Nagoya 464-8603 Japan
| | - Yushu Matsushita
- Department of Applied Chemistry; Graduate School of Engineering, Nagoya University; Furo-cho Chikusa-ku Nagoya 464-8603 Japan
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Córdoba A, Schieber JD, Indei T. A single-chain model for active gels I: active dumbbell model. RSC Adv 2014. [DOI: 10.1039/c4ra02262a] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022] Open
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Mayumi K, Marcellan A, Ducouret G, Creton C, Narita T. Stress-Strain Relationship of Highly Stretchable Dual Cross-Link Gels: Separability of Strain and Time Effect. ACS Macro Lett 2013; 2:1065-1068. [PMID: 35606968 DOI: 10.1021/mz4005106] [Citation(s) in RCA: 94] [Impact Index Per Article: 8.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Abstract
We studied the stress-strain relation of model dual cross-link gels having permanent cross-links and transient cross-links over an unusually wide range of extension ratios λ and strain rates ϵ̇ (or time t = (λ - 1)/ϵ̇). We propose a new analysis method and separate the stress into strain- and time-dependent terms. The strain-dependent term is derived from rubber elasticity, while the time-dependent term is due to the failure of transient cross-links and can be represented as a time-dependent shear modulus which shows the same relaxation as in small strain. The separability is applicable except for the strain stiffening regimes resulting from the finite extensibility of polymer chains. This new analysis method should have a wide applicability not only for hydrogels but also for other highly viscoelastic soft solids such as soft adhesives or living tissues.
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Affiliation(s)
- Koichi Mayumi
- Laboratoire
SIMM-PPMD, UMR7615, ESPCI ParisTech − UPMC - CNRS, 10 Rue Vauquelin, 75231 Paris, Cedex 05, France
| | - Alba Marcellan
- Laboratoire
SIMM-PPMD, UMR7615, ESPCI ParisTech − UPMC - CNRS, 10 Rue Vauquelin, 75231 Paris, Cedex 05, France
| | - Guylaine Ducouret
- Laboratoire
SIMM-PPMD, UMR7615, ESPCI ParisTech − UPMC - CNRS, 10 Rue Vauquelin, 75231 Paris, Cedex 05, France
| | - Costantino Creton
- Laboratoire
SIMM-PPMD, UMR7615, ESPCI ParisTech − UPMC - CNRS, 10 Rue Vauquelin, 75231 Paris, Cedex 05, France
| | - Tetsuharu Narita
- Laboratoire
SIMM-PPMD, UMR7615, ESPCI ParisTech − UPMC - CNRS, 10 Rue Vauquelin, 75231 Paris, Cedex 05, France
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Narita T, Mayumi K, Ducouret G, Hébraud P. Viscoelastic Properties of Poly(vinyl alcohol) Hydrogels Having Permanent and Transient Cross-Links Studied by Microrheology, Classical Rheometry, and Dynamic Light Scattering. Macromolecules 2013. [DOI: 10.1021/ma400600f] [Citation(s) in RCA: 131] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/11/2022]
Affiliation(s)
- Tetsuharu Narita
- Laboratoire PPMD-SIMM, UPMC-ESPCI ParisTech-CNRS UMR7615, 10 rue Vauquelin,
75005 Paris, France
| | - Koichi Mayumi
- Laboratoire PPMD-SIMM, UPMC-ESPCI ParisTech-CNRS UMR7615, 10 rue Vauquelin,
75005 Paris, France
| | - Guylaine Ducouret
- Laboratoire PPMD-SIMM, UPMC-ESPCI ParisTech-CNRS UMR7615, 10 rue Vauquelin,
75005 Paris, France
| | - Pascal Hébraud
- IPCMS/CNRS UMR 7504, 23 rue du Loess PB43 67034 Strasbourg Cedex, France
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