Relaxation kinetics of biological dimer adsorption models

We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by...

Full description

Saved in:
Bibliographic Details
Published in:Europhysics letters 2001-11, Vol.56 (3), p.420-426
Main Authors: Vilfan, A, Frey, E, Schwabl, F
Format: Article
Language:English
Subjects:
68.43.Mn
82.40.Bj
87.16.Nn
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Molecular biophysics
Surface properties. Adsorption
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283
cites cdi_FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283
container_end_page 426
container_issue 3
container_start_page 420
container_title Europhysics letters
container_volume 56
creator Vilfan, A
Frey, E
Schwabl, F
description We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.
doi_str_mv 10.1209/epl/i2001-00535-4
format article
fullrecord <record><control><sourceid>istex_cross</sourceid><recordid>TN_cdi_istex_primary_ark_67375_80W_XPJ5JBB1_X</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_80W_XPJ5JBB1_X</sourcerecordid><originalsourceid>FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283</originalsourceid><addsrcrecordid>eNp1kMtOwzAQRS0EEqXwAeyyYYGE6fiVOEta8aoqgRCI7iw7dpBpWkd2FuXvSR-CBWI1izl3NOcidE7gmlAoR65tRp4CEAwgmMD8AA0IlTnmUvBDNABaCiygEMfoJKXPHiSS5ANUvrhGr3Xnwypb-JXrfJWyUGfGhyZ8-Eo3mfVLFzNtU4jtllsG65p0io5q3SR3tp9D9HZ3-zp5wLOn-8fJzQxXTNIOFxQEteDqUrPCGMYMzQuQogTW_0ctc1bWtLAkNwXjhhtSclnmnNbGOUMlGyKyu1vFkFJ0tWqjX-r4pQiojbvq3dXWXW3dFe8zF7tMq1OvUEe9qnz6DXKQUkDZc3jH-dS59c9ex4XKC1YIJeFdzZ-nYjoeEzXv-cs9H9ofelOt2lSrRK6Y4hRUa-uevfrL_v_yNxzIg5Q</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Relaxation kinetics of biological dimer adsorption models</title><source>Institute of Physics</source><creator>Vilfan, A ; Frey, E ; Schwabl, F</creator><creatorcontrib>Vilfan, A ; Frey, E ; Schwabl, F</creatorcontrib><description>We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.</description><identifier>ISSN: 0295-5075</identifier><identifier>EISSN: 1286-4854</identifier><identifier>DOI: 10.1209/epl/i2001-00535-4</identifier><identifier>CODEN: EULEEJ</identifier><language>eng</language><publisher>Les Ulis: IOP Publishing</publisher><subject>68.43.Mn ; 82.40.Bj ; 87.16.Nn ; Biological and medical sciences ; Fundamental and applied biological sciences. Psychology ; Molecular biophysics ; Surface properties. Adsorption</subject><ispartof>Europhysics letters, 2001-11, Vol.56 (3), p.420-426</ispartof><rights>2002 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283</citedby><cites>FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27922,27923</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&amp;idt=14088509$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Vilfan, A</creatorcontrib><creatorcontrib>Frey, E</creatorcontrib><creatorcontrib>Schwabl, F</creatorcontrib><title>Relaxation kinetics of biological dimer adsorption models</title><title>Europhysics letters</title><description>We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.</description><subject>68.43.Mn</subject><subject>82.40.Bj</subject><subject>87.16.Nn</subject><subject>Biological and medical sciences</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Molecular biophysics</subject><subject>Surface properties. Adsorption</subject><issn>0295-5075</issn><issn>1286-4854</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2001</creationdate><recordtype>article</recordtype><recordid>eNp1kMtOwzAQRS0EEqXwAeyyYYGE6fiVOEta8aoqgRCI7iw7dpBpWkd2FuXvSR-CBWI1izl3NOcidE7gmlAoR65tRp4CEAwgmMD8AA0IlTnmUvBDNABaCiygEMfoJKXPHiSS5ANUvrhGr3Xnwypb-JXrfJWyUGfGhyZ8-Eo3mfVLFzNtU4jtllsG65p0io5q3SR3tp9D9HZ3-zp5wLOn-8fJzQxXTNIOFxQEteDqUrPCGMYMzQuQogTW_0ctc1bWtLAkNwXjhhtSclnmnNbGOUMlGyKyu1vFkFJ0tWqjX-r4pQiojbvq3dXWXW3dFe8zF7tMq1OvUEe9qnz6DXKQUkDZc3jH-dS59c9ex4XKC1YIJeFdzZ-nYjoeEzXv-cs9H9ofelOt2lSrRK6Y4hRUa-uevfrL_v_yNxzIg5Q</recordid><startdate>20011101</startdate><enddate>20011101</enddate><creator>Vilfan, A</creator><creator>Frey, E</creator><creator>Schwabl, F</creator><general>IOP Publishing</general><general>EDP Sciences</general><general>EDP sciences</general><scope>BSCLL</scope><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20011101</creationdate><title>Relaxation kinetics of biological dimer adsorption models</title><author>Vilfan, A ; Frey, E ; Schwabl, F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2001</creationdate><topic>68.43.Mn</topic><topic>82.40.Bj</topic><topic>87.16.Nn</topic><topic>Biological and medical sciences</topic><topic>Fundamental and applied biological sciences. Psychology</topic><topic>Molecular biophysics</topic><topic>Surface properties. Adsorption</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Vilfan, A</creatorcontrib><creatorcontrib>Frey, E</creatorcontrib><creatorcontrib>Schwabl, F</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><jtitle>Europhysics letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Vilfan, A</au><au>Frey, E</au><au>Schwabl, F</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Relaxation kinetics of biological dimer adsorption models</atitle><jtitle>Europhysics letters</jtitle><date>2001-11-01</date><risdate>2001</risdate><volume>56</volume><issue>3</issue><spage>420</spage><epage>426</epage><pages>420-426</pages><issn>0295-5075</issn><eissn>1286-4854</eissn><coden>EULEEJ</coden><abstract>We discuss the relaxation kinetics of a one-dimensional dimer adsorption model as recently proposed for the binding of biological dimers like kinesin on microtubules. The non-equilibrium dynamics shows several regimes: irreversible adsorption on short time scales, an intermediate plateau followed by a power law regime and finally exponential relaxation towards equilibrium. In all four regimes we give analytical solutions. The algebraic decay and the scaling behaviour can be explained by mapping onto a simple reaction-diffusion model. We show that there are several possibilities to define the autocorrelation function and that they all asymptotically show exponential decay, however with different time constants. Our findings remain valid if there is an attractive interaction between bound dimers.</abstract><cop>Les Ulis</cop><pub>IOP Publishing</pub><doi>10.1209/epl/i2001-00535-4</doi><tpages>7</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0295-5075
ispartof Europhysics letters, 2001-11, Vol.56 (3), p.420-426
issn 0295-5075
1286-4854
language eng
recordid cdi_istex_primary_ark_67375_80W_XPJ5JBB1_X
source Institute of Physics
subjects 68.43.Mn
82.40.Bj
87.16.Nn
Biological and medical sciences
Fundamental and applied biological sciences. Psychology
Molecular biophysics
Surface properties. Adsorption
title Relaxation kinetics of biological dimer adsorption models
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-14T11%3A23%3A56IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Relaxation%20kinetics%20of%20biological%20dimer%20adsorption%20models&rft.jtitle=Europhysics%20letters&rft.au=Vilfan,%20A&rft.date=2001-11-01&rft.volume=56&rft.issue=3&rft.spage=420&rft.epage=426&rft.pages=420-426&rft.issn=0295-5075&rft.eissn=1286-4854&rft.coden=EULEEJ&rft_id=info:doi/10.1209/epl/i2001-00535-4&rft_dat=%3Cistex_cross%3Eark_67375_80W_XPJ5JBB1_X%3C/istex_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c382t-72052d0ef9a37bb33b2670859031282d3ed8f27d16b734b4b19489642fbeeb283%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true