1
|
Bleha T, Cifra P. Compression and Stretching of Single DNA Molecules under Channel Confinement. J Phys Chem B 2020; 124:1691-1702. [PMID: 32045238 DOI: 10.1021/acs.jpcb.9b11602] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
We study the compression and extension response of single dsDNA (double-stranded DNA) molecules confined in cylindrical channels by means of Monte Carlo simulations. The elastic response of micrometer-sized DNA to the external force acting through the chain ends or through the piston is markedly affected by the size of the channel. The interpretation of the force (f)-displacement (R) functions under quasi-one-dimensional confinement is facilitated by resolving the overall change of displacement ΔR into the confinement contribution ΔRD and the force contribution ΔRf. The external stretching of confined DNA results in a characteristic pattern of f-R functions involving their shift to the larger extensions due to the channel-induced pre-stretching ΔRD. A smooth end-chain compression into loop-like conformations observed in moderately confined DNA can be accounted for by the relationship valid for a Gaussian chain in bulk. In narrow channels, the considerably pre-stretched DNA molecules abruptly buckle on compression by the backfolding into hairpins. On the contrary, the piston compression of DNA is characterized by a gradual reduction of the chain span S and by smooth f-S functions in the whole spatial range from the 3d near to 1d limits. The observed discrepancy between the shape of the f-R and f-S functions from two compression methods can be important for designing nanopiston experiments of compaction and knotting of single DNA in nanochannels.
Collapse
Affiliation(s)
- Tomáš Bleha
- Polymer Institute, Slovak Academy of Sciences, 84541 Bratislava, Slovakia
| | - Peter Cifra
- Polymer Institute, Slovak Academy of Sciences, 84541 Bratislava, Slovakia
| |
Collapse
|
2
|
Yeh JW, Taloni A, Sriram KK, Shen JP, Kao DY, Chou CF. Nanoconfinement-Induced DNA Reptating Motion and Analogy to Fluctuating Interfaces. Macromolecules 2020. [DOI: 10.1021/acs.macromol.9b02074] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Affiliation(s)
- Jia-Wei Yeh
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
| | - Alessandro Taloni
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
- CNR-Consiglio Nazionale delle Ricerche, ISC, Via dei Taurini 19, 00185 Roma, Italy
| | - K. K. Sriram
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
| | - Jie-Pan Shen
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
| | - Der-You Kao
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
| | - Chia-Fu Chou
- Institute of Physics, Academia Sinica, Taipei 11529, Taiwan
- Research Centre for Applied Sciences, Academia Sinica, Taipei 11529, Taiwan
- Genomics Research Centre, Academia Sinica, Taipei 11529, Taiwan
| |
Collapse
|
3
|
Li M, Wang J. Stretching Wormlike Chains in Narrow Tubes of Arbitrary Cross-Sections. Polymers (Basel) 2019; 11:E2050. [PMID: 31835594 PMCID: PMC6960511 DOI: 10.3390/polym11122050] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/23/2019] [Accepted: 12/06/2019] [Indexed: 12/03/2022] Open
Abstract
We considered the stretching of semiflexible polymer chains confined in narrow tubes with arbitrary cross-sections. Based on the wormlike chain model and technique of normal mode decomposition in statistical physics, we derived a compact analytical expression on the force-confinement-extension relation of the chains. This single formula was generalized to be valid for tube confinements with arbitrary cross-sections. In addition, we extended the generalized bead-rod model for Brownian dynamics simulations of confined polymer chains subjected to force stretching, so that the confinement effects to the chains applied by the tubes with arbitrary cross-sections can be quantitatively taken into account through numerical simulations. Extensive simulation examples on the wormlike chains confined in tubes of various shapes quantitatively justified the theoretically derived generalized formula on the force-confinement-extension relation of the chains.
Collapse
Affiliation(s)
| | - Jizeng Wang
- Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, China;
| |
Collapse
|
4
|
Wang J, Li K. Statistical Behaviors of Semiflexible Polymer Chains Stretched in Rectangular Tubes. Polymers (Basel) 2019; 11:E260. [PMID: 30960244 PMCID: PMC6419070 DOI: 10.3390/polym11020260] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/01/2018] [Revised: 01/27/2019] [Accepted: 01/31/2019] [Indexed: 11/23/2022] Open
Abstract
We investigated the statistical behaviors of semiflexible polymer chains, which were simultaneously subjected to force stretching and rectangular tube confinement. Based on the wormlike chain model and Odijk deflection theory, we derived a new deflection length, by using which new compact formulas were obtained for the confinement free energy and force⁻confinement⁻extension relations. These newly derived formulas were justified by numerical solutions of the eigenvalue problem associated with the Fokker⁻Planck governing equation and extensive Brownian dynamics simulations based on the so-called generalized bead-rod (GBR) model. We found that, compared to classical deflection theory, these new formulas were valid for a much more extended range of the confinement size/persistence length ratio and had no adjustable fitting parameters for sufficiently long semiflexible chains in the whole deflection regime.
Collapse
Affiliation(s)
- Jizeng Wang
- Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, Gansu, China.
| | - Kai Li
- Key Laboratory of Mechanics on Disaster and Environment in Western China, Ministry of Education, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou 730000, Gansu, China.
| |
Collapse
|
5
|
Bleha T, Cifra P. Stretching and compression of DNA by external forces under nanochannel confinement. SOFT MATTER 2018; 14:1247-1259. [PMID: 29363709 DOI: 10.1039/c7sm02413d] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Mechanical deformation of dsDNA molecules inside square nanochannels is investigated using simulations based on a coarse-grained model of DNA. The combined action of confinement and weak external forces is explored in a variety of confinement regimes, including the transition zone relevant to nanofluidic experiments. The computed free energy and force profiles are markedly affected by the channel size. Effective elastic softening of confined DNA molecules relative to the bulk DNA is observed in the channels of intermediate widths. The extension of DNA from its bulk equilibrium length in nanofluidic devices is resolved into contributions from the passive extension due to confinement and from the active stretching induced by force. Potential implications of the very different energy costs computed for the two extension modes (extension by confinement takes much more free energy than stretching by force) for behavior of DNA in nanofluidic chips are indicated.
Collapse
Affiliation(s)
- Tomáš Bleha
- Polymer Institute, Slovak Academy of Sciences, 84541 Bratislava, Slovakia.
| | | |
Collapse
|
6
|
Benková Z, Rišpanová L, Cifra P. Structural Behavior of a Semiflexible Polymer Chain in an Array of Nanoposts. Polymers (Basel) 2017; 9:E313. [PMID: 30970991 PMCID: PMC6418663 DOI: 10.3390/polym9080313] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/02/2017] [Revised: 07/24/2017] [Accepted: 07/25/2017] [Indexed: 11/27/2022] Open
Abstract
The structural properties of a flexible and semiflexible circular chain confined in an array of parallel nanoposts with a square lattice cross-sectional projection were studied using coarse-grained molecular dynamics simulations. To address the effect of the circular topology, a comparison with linear analogs was also carried out. In the interpretation of the chain structural properties, the geometry of the post array is considered as a combination of a channel approximating the interstitial volume with the diameter dc and a slit approximating the passage aperture with the width wp. The number of interstitial volumes occupied by a chain monotonically increases with the decreasing ratio dc/wp regardless of the way the geometry of the post array is varied. However, depending on how the array geometry is modified, the chain span along the posts displays a monotonic (constant post separation) or a non-monotonic behavior (constant passage width) when plotted as a function of the post diameter. In the case of monotonic trend, the width of interstitial spaces increases with the increasing chain occupation number, while, in the case of non-monotonic trend, the width of interstitial spaces decreases with the increasing chain occupation number. In comparison with linear topology, for circular topology, the stiffness affects more significantly the relative chain extension along the posts and less significantly the occupation number. The geometrical parameters of the post arrays are stored in the single-chain structure factors. The characteristic humps are recognized in the structure factor which ensue from the local increase in the density of segments in the circular chains presented in an interstitial volume or from the correlation of parallel chain fragments separated by a row of posts. Although the orientation correlations provide qualitative information about the chain topology and the character of confinement within a single interstitial volume, information about the array periodicity is missing.
Collapse
Affiliation(s)
- Zuzana Benková
- Polymer Institute, Slovak Academy of Sciences, Dúbravská Cesta 9, 845 41 Bratislava, Slovakia.
- LAQV@REQUIMTE, Department of Chemistry and Biochemistry, Faculty of Sciences, University of Porto, Rua do Campo Alegre 687, 4168-007 Porto, Portugal.
| | - Lucia Rišpanová
- Polymer Institute, Slovak Academy of Sciences, Dúbravská Cesta 9, 845 41 Bratislava, Slovakia.
| | - Peter Cifra
- Polymer Institute, Slovak Academy of Sciences, Dúbravská Cesta 9, 845 41 Bratislava, Slovakia.
| |
Collapse
|
7
|
Abstract
External forces and confinement are two fundamental and complementary approaches for biopolymer stretching. By employing micro- and nanofluidics, we study the force-extension dynamics by simultaneously applying external forces and confinement to single-DNA molecules. In particular, we apply external electric fields to stretch single DNA molecules that are attached to microspheres anchored at a nanoslit entrance. Using this method, we measure the force-extension relation of tethered DNA and describe this relation with modified wormlike chain models. This allowed experimental validations of several theoretical predictions, including the increase in the global persistence length of confined DNA with increasing degree of confinement and the "confined Pincus" regime in slit confinement.
Collapse
Affiliation(s)
- Jia-Wei Yeh
- School
of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, United States
- Department
of Physics, University of California, San Diego, La Jolla, California 92122, United States
| | - Kylan Szeto
- School
of Applied and Engineering Physics, Cornell University, Ithaca, New York 14853, United States
| |
Collapse
|
8
|
Dai L, Renner CB, Doyle PS. The polymer physics of single DNA confined in nanochannels. Adv Colloid Interface Sci 2016; 232:80-100. [PMID: 26782150 DOI: 10.1016/j.cis.2015.12.002] [Citation(s) in RCA: 73] [Impact Index Per Article: 9.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/30/2015] [Revised: 12/01/2015] [Accepted: 12/01/2015] [Indexed: 11/17/2022]
Abstract
In recent years, applications and experimental studies of DNA in nanochannels have stimulated the investigation of the polymer physics of DNA in confinement. Recent advances in the physics of confined polymers, using DNA as a model polymer, have moved beyond the classic Odijk theory for the strong confinement, and the classic blob theory for the weak confinement. In this review, we present the current understanding of the behaviors of confined polymers while briefly reviewing classic theories. Three aspects of confined DNA are presented: static, dynamic, and topological properties. The relevant simulation methods are also summarized. In addition, comparisons of confined DNA with DNA under tension and DNA in semidilute solution are made to emphasize universal behaviors. Finally, an outlook of the possible future research for confined DNA is given.
Collapse
Affiliation(s)
- Liang Dai
- BioSystems and Micromechanics (BioSyM) IRG, Singapore-MIT Alliance for Research and Technology (SMART) Centre, 138602, Singapore
| | - C Benjamin Renner
- Department of Chemical Engineering, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, United States
| | - Patrick S Doyle
- BioSystems and Micromechanics (BioSyM) IRG, Singapore-MIT Alliance for Research and Technology (SMART) Centre, 138602, Singapore; Department of Chemical Engineering, Massachusetts Institute of Technology (MIT), Cambridge, MA 02139, United States.
| |
Collapse
|
9
|
Rukhlya EG, Yarysheva LM, Volynskii AL, Bakeev NF. Effects of tensile strain on the peculiarities of PEO penetration into the nanoporous structure of PET deformed via the crazing mechanism. Phys Chem Chem Phys 2016; 18:9396-404. [PMID: 26979240 DOI: 10.1039/c5cp07842c] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/29/2023]
Abstract
Solvent crazing involves the development of a highly dispersed fibrillar-porous structure with dimensions of pores and craze fibrils of about 2-20 nm, and crazing by itself can be treated as a universal method for the development of nanoscale porosity. The penetration and release of poly(ethylene oxide) macromolecules into and from the crazes during the development of the nanoporous structure of poly(ethylene terephthalate) have been studied. In particular, PET has been deformed in dilute or semidilute (unentangled as well as entangled) solutions of PEO (a Mw of 4 and 40 kDa) via the mechanism of solvent crazing. Hydrodynamic coil radii Rh, blob sizes ξ, and concentration ranges (crossover and entanglement concentrations) have been determined for the PEO solutions. The evolution of the craze structure (change in porosity W and pore diameters d) has been described as a function of the tensile strain of PET during its drawing in an adsorption-active medium and in the PEO solutions. PEO has been shown to penetrate into the nanoporous structure of the crazes under the conditions corresponding to Rh≤d and ξ < d. It has been shown that coagulation processes in the structure of crazed PET, PEO adsorption at the highly developed surface of PET, and the mechanism of PEO transport in the nanopores are equally important factors affecting the direction of the macromolecule mass transfer in the nanopores (penetration or release) and PEO content variation as a function of PET tensile strain.
Collapse
Affiliation(s)
- E G Rukhlya
- Faculty of Chemistry, M. V. Lomonosov Moscow State University, Leninskie gory 1, Moscow 119234, Russia.
| | | | | | | |
Collapse
|
10
|
Li X, Dorfman KD. Effect of excluded volume on the force-extension of wormlike chains in slit confinement. J Chem Phys 2016; 144:104902. [PMID: 26979704 DOI: 10.1063/1.4943195] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We use pruned-enriched Rosenbluth method simulations to develop a quantitative phase diagram for the stretching of a real wormlike chain confined in a slit. Our simulations confirm the existence of a "confined Pincus" regime in slit confinement, analogous to the Pincus regime in free solution, where excluded volume effects are sensible. The lower bound for the confined Pincus regime in the force-molecular weight plane, as well as the scaling of the extension with force and slit size, agree with an existing scaling theory for this regime. The upper bound of the confined Pincus regime depends on the strength of the confinement. For strong confinement, the confined Pincus regime ends when the contour length in the Pincus blob is too short to have intrablob excluded volume. As a result, the chain statistics become ideal and the confined Pincus regime at low forces is connected directly to ideal chain stretching at large forces. In contrast, for weak confinement, the confined Pincus regime ends when the Pincus blobs no longer fit inside the slit, even though there is sufficient contour length to have excluded volume inside the Pincus blob. As a result, weak confinement leads to a free-solution Pincus regime intervening between the confined Pincus regime for weak forces and ideal chain stretching at strong forces. Our results highlight shortcomings in existing models for the stretching of wormlike chains in slits.
Collapse
Affiliation(s)
- Xiaolan Li
- Department of Chemical Engineering and Materials Science, University of Minnesota-Twin Cities, 421 Washington Avenue SE, Minneapolis, Minnesota 55455, USA
| | - Kevin D Dorfman
- Department of Chemical Engineering and Materials Science, University of Minnesota-Twin Cities, 421 Washington Avenue SE, Minneapolis, Minnesota 55455, USA
| |
Collapse
|
11
|
Klepinger AC, Greenier MK, Levy SL. Stretching DNA Molecules in Strongly Confining Nanofluidic Slits. Macromolecules 2015. [DOI: 10.1021/acs.macromol.5b01712] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
| | - Madeline K. Greenier
- Department
of Physics, Binghamton University, Binghamton, New York 13902, United States
| | - Stephen L. Levy
- Department
of Physics, Binghamton University, Binghamton, New York 13902, United States
| |
Collapse
|
12
|
de Haan HW, Shendruk TN. Force-Extension for DNA in a Nanoslit: Mapping between the 3D and 2D Limits. ACS Macro Lett 2015; 4:632-635. [PMID: 35596406 DOI: 10.1021/acsmacrolett.5b00138] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
The force-extension relation for a semiflexible polymer confined in a nanoslit is investigated. Both the effective correlation length and force-extension relation change as the chain goes from 3D (large slit heights) to 2D (tight confinement). At low forces, correlations along the polymer give an effective dimensionality. The strong force limit can be interpolated with the weak force limit for two regimes: when confinement dominates over extensile force and vice versa. These interpolations give good agreement with simulations for all slit heights and forces. We thus generalize the Marko-Siggia force-extension relation for DNA and other semiflexible biopolymers in nanoconfinement.
Collapse
Affiliation(s)
- Hendrick W. de Haan
- University of Ontario Institute of Technology, Faculty
of Science, 2000 Simcoe
Street North, Oshawa, Ontario L1H 7K4, Canada
| | - Tyler N. Shendruk
- The
Rudolf Peierls Centre for Theoretical Physics, Department of Physics,
Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, United Kingdom
| |
Collapse
|
13
|
Werner E, Mehlig B. Confined polymers in the extended de Gennes regime. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:062602. [PMID: 25615121 DOI: 10.1103/physreve.90.062602] [Citation(s) in RCA: 41] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/26/2014] [Indexed: 05/27/2023]
Abstract
We show that the problem of describing the conformations of a semiflexible polymer confined to a channel can be mapped onto an exactly solvable model in the so-called extended de Gennes regime. This regime (where the polymer is neither weakly nor strongly confined) has recently been intensively studied experimentally and by means of computer simulations. The exact solution predicts precisely how the conformational fluctuations depend upon the channel width and upon the microscopic parameters characterizing the physical properties of the polymer.
Collapse
Affiliation(s)
- E Werner
- Department of Physics, University of Gothenburg, SE-40530 Gothenburg, Sweden
| | - B Mehlig
- Department of Physics, University of Gothenburg, SE-40530 Gothenburg, Sweden
| |
Collapse
|
14
|
Dai L, van der Maarel J, Doyle PS. Extended de Gennes Regime of DNA Confined in a Nanochannel. Macromolecules 2014. [DOI: 10.1021/ma500326w] [Citation(s) in RCA: 100] [Impact Index Per Article: 10.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Liang Dai
- BioSystems
and Micromechanics (BioSyM) IRG, Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 CREATE Way, Republic of Singapore 138602
| | - Johan van der Maarel
- BioSystems
and Micromechanics (BioSyM) IRG, Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 CREATE Way, Republic of Singapore 138602
- Department
of Physics, National University of Singapore, 2 Science Drive 3, Republic of Singapore 117551
| | - Patrick S. Doyle
- BioSystems
and Micromechanics (BioSyM) IRG, Singapore-MIT Alliance for Research and Technology (SMART) Centre, 1 CREATE Way, Republic of Singapore 138602
- Department of Chemical Engineering, Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts 02139, United States
| |
Collapse
|