Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment

Yu-Shan Zheng; Jian-Ping Zhou; Yan Xu; Kai Li

doi:10.1007/s10118-023-3049-5

Your Location：

Home >

Browse articles >

Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment

RESEARCH ARTICLE | Updated：2024-02-20

- Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment
- Chinese Journal of Polymer Science Vol. 42, Issue 3, Pages: 407-416(2024)
- Affiliations：
  
  Mechanical Engineering, Xinjiang University, Urumqi 830002, China
- Author bio：
  
  lilixiu_z@163.com (Y.X.)
  likai@xju.edu.cn (K.L.)
- Funds：
- DOI：10.1007/s10118-023-3049-5
  CLC：
- Received：15 August 2023，
  
  Accepted：31 August 2023，
  
  Online First：27 September 2023，
  
  Published：01 March 2024
- Accepted：
Scan QR Code
Zheng, Y. S.; Zhou, J. P.; Xu, Y.; Li, K. Spherical confinement generates entropic force to accelerate polymer chain detachment. Chinese J. Polym. Sci. 2024, 42, 407–416

Yu-Shan Zheng, Jian-Ping Zhou, Yan Xu, et al. Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment[J]. Chinese Journal of Polymer Science, 2024, 42(3): 407-416.
Zheng, Y. S.; Zhou, J. P.; Xu, Y.; Li, K. Spherical confinement generates entropic force to accelerate polymer chain detachment. Chinese J. Polym. Sci. 2024, 42, 407–416 DOI： 10.1007/s10118-023-3049-5.

Yu-Shan Zheng, Jian-Ping Zhou, Yan Xu, et al. Spherical Confinement Generates Entropic Force to Accelerate Polymer Chain Detachment[J]. Chinese Journal of Polymer Science, 2024, 42(3): 407-416. DOI： 10.1007/s10118-023-3049-5.

摘要

Brief summary: We present a theoretical analysis of the mean detachment time of a specific link under spherical confinement using the MFPT technique and demonstrate that spherical confinement leads to a reduction in the conformational entropy of polymers

resulting in entropic forces that accelerate the detachment of polymers from confinement surfaces.

Abstract

To understand the dynamic process of polymer detachment

it is necessary to determine the mean detachment time of a single breakable link

which is modeled as a spring. Normally

this time can be viewed as the escape of a Brownian particle from the potential well of the spring. However

as the free dangling length of the polymer chain increases

the conformational entropy of the chain is affected by geometric confinement. It means that the wall exerts a repulsive force on the chain

resulting in accelerated link detachment from a macroscopic perspective. In this work

we investigate the effect of entropy on the detachment rate in the case where the substrate is spherical. We demonstrate that spherical confinement accelerates chain detachment both inside and outside the sphere. An analytical expression for the mean detachment time of breakable links is given

which includes an additional pre-factor that is related to the partition function. Additionally

we analyze the expressions for entropic forces inside the sphere

outside the sphere

and on a flat wall

comparing their magnitudes to explain the difference in mean detachment time.

关键词

Keywords

references

Claesson,P.M.;Blomberg,E.;Fröberg,J.C.;Nylander,T.;Arnebrant,T.Proteininteractionsatsolidsurfaces. Adv. Colloid Interface Sci. 1995 , 57 ,161−227..

Lipowsky,R.Flexiblemembraneswithanchoredpolymers. Colloids Surf. A 1997 , 128 ,255−264..

Ayscough,K.R. In vivo functionsofactin-bindingproteins. Curr. Opin. Cell Biol . 1998 , 10 ,102−111..

Smith,D.E.;Tans,S.J.;Smith,S.B.;Grimes,S.;Anderson,D.L.;Bustamante,C.Thebacteriophage φ 29portalmotorcanpackageDNAagainstalargeinternalforce. Nature 2001 , 413 ,748−752..

Aliee,M.;Najafi,A.Mechanicalpropertiesofanadsorbedelasticpolymerincontactwitharigidmembrane. Phys. Rev. E 2008 , 78 ,051802..

Paturej,J.;Dubbeldam,J.A.;Rostiashvili,V.G.;Milchev,A.;Vilgis,T.A.Forcespectroscopyofpolymerdesorption:theoryandmoleculardynamicssimulations. Soft Matter 2014 , 10 ,2785−2799..

Chaudhuri,A.;Chaudhuri,D.Forceddesorptionofsemiflexiblepolymers,adsorbedanddrivenbymolecularmotors. Soft Matter 2016 , 12 ,2157−2165..

Li,B.;Abel,S.M.Shapingmembranevesiclesbyadsorptionofasemiflexiblepolymer. Soft Matter 2018 , 14 ,185−193..

Saltzman,W.M.;Kyriakides,T.R.Cellinteractionswithpolymers.In Principles of Tissue Engineering .4 th Ed.AcademicPress, 2020 ,275−293..

Lee,J.H.;Gustin,J.P.;Chen,T.Vesicle-biopolymergels:Networksofsurfactantvesiclesconnectedbyassociatingbiopolymers. Langmuir 2005 , 21 ,26−33..

Skulason,H.;Frisbie,C.D.Directdetectionbyatomicforcemicroscopyofsinglebondforcesassociatedwiththeruptureofdiscretecharge-transfercomplexes. J. Am. Chem. Soc. 2002 , 124 ,15125−15133..

Stout,A.L.Detectionandcharacterizationofindividualintermolecularbondsusingopticaltweezers. Biophy. J . 2001 , 80 2976−2986..

Hanke,F.;Livadaru,L.;Kreuzer,H.J.Adsorptionforcesonasinglepolymermoleculeincontactwithasolidsurface. Europhys. Lett. 2005 , 69 ,242−248..

Kierfeld,J.Force-induceddesorptionandunzippingofsemiflexiblepolymers. Phys. Rev. Lett. 2006 , 97 ,058302..

Essevaz-Roulet,B.;Bockelmann,U.;Heslot,F.MechanicalseparationofthecomplementarystrandsofDNA. Proc. Natl. Acad. Sci. U. S. A. 1997 , 94 ,11935−11940..

Cocco,S.;Monasson,R.;Marko,J.F.ForceandkineticbarrierstounzippingoftheDNAdoublehelix. Proc. Natl. Acad. Sci. U. S. A. 2001 , 98 ,8608−8613..

Zou,S.;Schönherr,H.;Vancso,G.J.StretchingandrupturingindividualsupramolecularpolymerchainsbyAFM. Angew. Chem. 2005 , 44 ,978−981..

Hugel,T.;Grosholz,M.;Clausen,S.H.;Pfau,A.;Gaub,H.;Seitz,M.ElasticityofsinglepolyelectrolytechainsandtheirdesorptionfromsolidsupportsstudiedbyAFMbasedsinglemoleculeforcespectroscopy. Macromolecules 2001 , 34 ,1039−1047..

Benetatos,P.;Frey,E.Depinningofsemiflexiblepolymers. Phys. Rev. E 2003 , 67 ,051108..

Florio,G.;Puglisi,G.;Giordano,S.Roleoftemperatureinthedecohesionofanelasticchaintetheredtoasubstratebyonsitebreakablelinks. Phys. Rev. Res. 2020 , 2 ,033227..

Paturej,J.;Milchev,A.;Rostiashvili,V.G.;Vilgis,T.A.Polymerdetachmentkineticsfromadsorbingsurface:theory,simulationandsimilaritytoinfiltrationintoporousmedium. Macromolecules 2012 , 45 ,4371−4380..

Singh,N.;Singh,Y.Statisticaltheoryofforce-inducedunzippingofDNA. Eur. Phys. J. E 2005 , 17 ,7−19..

Jánosi,I.M.;Chrétien,D.;Flyvbjerg,H.Structuralmicrotubulecap:stability,catastrophe,rescue,andthirdstat. Biophys. J. 2002 , 83 ,1317−1330..

Kallrot,N.;Linse,P.Dynamicstudyofsingle-chainadsorptionanddesorption. Macromolecules 2007 , 40 ,4669−4679..

Zhao,S.L.;Wu,J.;Gao,D.;Wu,J.Z.GaussianfluctuationsintetheredDNAchains. J. Chem. Phys. 2011 , 134 ,065103..

Lee,C.T.;Terentjev,E.M.Hard-wallentropiceffectacceleratesdetachmentofadsorbedpolymerchains. Phys. Rev. E 2019 , 100 ,032501..

Schweizer,K.S.;Saltzman,E.J.Entropicbarriers,activatedhopping,andtheglasstransitionincolloidalsuspensions. J. Chem. Phys. 2003 , 119 ,1181−1196..

Wozinski,A.;Iwaniszewski,J.Relaxationthroughanasymmetricfluctuatingpotentialbarrier. Phys. Rev. E 2009 , 80 ,011129..

Fiasconaro,A.;Spagnolo,B.Resonantactivationinpiecewiselinearasymmetricpotentials. Phys. Rev. E 2011 , 83 ,041122..

Hummer,G.;Szabo,A.Kineticsfromnonequilibriumsingle-moleculepullingexperiments. Biophys. J. 2003 , 85 ,5−15..

Frantz,P.;Granick,S.Kineticsofpolymeradsorptionanddesorption. Phys. Rev. Lett. 1991 , 66 ,899−902..

Frantz,P.;Granick,S.Exchangekineticsofadsorbedpolymerandtheachievementofconformationalequilibrium. Macromolecules 1994 , 27 ,2553−2558..

Goeler,F.V.;Muthukumar,M.Adsorptionofpolyelectrolytesontocurvedsurfaces. J. Chem. Phys. 1994 , 100 ,7796−7803..

Ball,R.C.;Blunt,M.;Barford,W.Cansurfaceboundstatesbeinducedbyinterfacialroughness? J. Phys. A. 1989 , 22 ,2587−2595..

Moore,N.W.;Kuhl,T.L.Theroleofflexibletethersinmultipleligand-receptorbondformationbetweencurvedsurfaces. Biophys. J. 2006 , 91 ,1675−1687..

Tanaka,M.;SackmannE.Polymer-supportedmembranesasmodelsofthecellsurface. Nature 2005 , 437 ,656−663..

Hänggi,P.;Talkner,P.;Borkovec,M.Reaction-ratetheory:fiftyyearsafterkramers. Rev. Mod. Phys. 1990 , 62 ,251−341..

Risken,H. The Fokker-Planck equation .Springer,Berlin,Heidelberg, 1996 ,Vol.18..

Chen,Z.J.Theoryofwormlikepolymerchainsinconfinement. Prog. Polym. Sci . 2016 , 54 ,3−46..

Doi,M.;Edwards.S.F. The theory of polymer dynamics .OxfordUniversityPress, 1988 ,Vol.73..

Cole,K.;Beck,J.;Haji-SheikhAHeatconductionusingGreen'sfunction. Scitech Book News . 2010 ,Vol.34..

Carslaw,H.S.;Jaeger,J.C. Conduction of heat in solids .OxfordUniversityPress, 1959 ..

Muthukumar,M.Polymersunderconfinement. Adv. Chem. Phys . 2012 , 149 ,129−196..

Dutta,S.;Benetatos,P.Statisticalensembleinequivalenceforflexiblepolymersunderconfinementinvariousgeometries. Soft Matter 2020 , 16 ,2114−2127..

VanBuren,V.;Odde,D.J.;Cassimeris,L.Estimatesoflateralandlongitudinalbondenergieswithinthemicrotubulelattice. Proc. Natl. Acad. Sci. U. S. A. 2002 , 99 ,6035−6040..

Zakharov,P.;Gudimchuk,N.;Voevodin,V.;Tikhonravov,A.;Ataullakhanov,F.I.;Grishchuk,E.L.Molecularandmechanicalcausesofmicrotubulecatastropheandaging. Biophys. J. 2015 , 109 ,2574−2591..

Grebenkov,D.S.Firstexittimesofharmonicallytrappedparticles:adidacticreview. J. Phys. A: Math. Theor. 2015 , 48 ,013001..

Pavliotis,G.A. Stochastic processes and applications: diffusion processes, the Fokker-Planck and Langevin equations .Springer,Berlin, 2014 ..

Gradshteyn,I.S.;Ryzhik,I.M. Table of integrals, series, and products .AcademicPress, 2014 ..

Hiergeist,C.;Lipowsky,R.Elasticpropertiesofpolymer-decoratedmembranes. J. Phys. II 1996 , 6 ,1465−1481..

Park,J.P.;Sung,W.Polymerreleaseoutofasphericalvesiclethroughapore. Phys. Rev. E 1998 , 57 ,730−734..

Views

346

Downloads

CSCD

Alert me when the article has been cited

Submit

Tools

Publicity Resources

Squaramide-directed Cooperative One-dimensional Assembly in Telechelic Polydimethylsiloxane for Hierarchical Network Formation

A Paradigm for BF3 Co-initiated Cationic Polymerization with Low Dispersity: Introducing Acetonitrile and Lowering the Reaction Temperature

Alternating Poly(ether-alt-ester)s with High Glass Transition Temperature Enabled by Rotationally Constrained Biaryl Units

Two-way Shape Memory Effect of Polycaprolactone-based Polyurethane via Synergistic Role of Hydrogen Bonding and Crystallization Tuned by Malic Acid

End-to-End Neuron-inspired Signal Transduction Using Organic Electrochemical Transistors

Related Author

No data

Related Institution

No data

⁰