Brownian search for targets hidden in cusp-like pockets: Progress and Applications
We report here recent progress in computing the search time for a stochastic particle to find a small target hidden in cusp-like pockets. The target is a small segment in dimension two, a small hole or a narrow ribbon in dimension three, placed at the end of a cusp. The asymptotic analysis of the di...
Gespeichert in:
| Veröffentlicht in: | The European physical journal. ST, Special topics Special topics, 2014-12, Vol.223 (14), p.3273-3285 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 3285 |
|---|---|
| container_issue | 14 |
| container_start_page | 3273 |
| container_title | The European physical journal. ST, Special topics |
| container_volume | 223 |
| creator | Guerrier, C. Holcman, D. |
| description | We report here recent progress in computing the search time for a stochastic particle to find a small target hidden in cusp-like pockets. The target is a small segment in dimension two, a small hole or a narrow ribbon in dimension three, placed at the end of a cusp. The asymptotic analysis of the diffusion equation reveals the role of the local geometry, and a mathematical difficulty comes from the boundary layer near the target. The methods are conformal mapping and matching asymptotic. We present applications in cell biology where cellular activation occurs when a diffusing particle finds a hidden site. This is the case during vesicular fusion initiated after a protein located between the vesicular and cell membranes binds to several diffusing calcium ions. Another example is a drug activation site located inside a deep molecular pocket. The analytical formulas clarify the role of small parameters. |
| doi_str_mv | 10.1140/epjst/e2014-02332-6 |
| format | Article |
| fullrecord | <record><control><sourceid>hal_cross</sourceid><recordid>TN_cdi_hal_primary_oai_HAL_hal_03431657v1</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>oai_HAL_hal_03431657v1</sourcerecordid><originalsourceid>FETCH-LOGICAL-c328t-d5a219036746fa0c0df53b2c75b342701b64e7bf93838df6c2f0a5a79e6022fe3</originalsourceid><addsrcrecordid>eNp9kE1LAzEQhoMoWKu_wEuuHtZOPrfrrRa1QkERPYdsNmnT1mRJtor_3m2rHj3NMPM-A_MgdEngmhAOI9uucjeyFAgvgDJGC3mEBqQSpJAcyPFvz4Q4RWc5rwCEpBUboJfbFD-D1wFnq5NZYhcT7nRa2C7jpW8aG7AP2GxzW2z82uI2mnW_u8HPKS6SzRnr0OBJ22680Z2PIZ-jE6c32V781CF6u797nc6K-dPD43QyLwyj465ohKakAiZLLp0GA40TrKamFDXjtARSS27L2lVszMaNk4Y60EKXlZVAqbNsiK4Od5d6o9rk33X6UlF7NZvM1W4GjDMiRflB-iw7ZE2KOSfr_gACaqdQ7RWqvUK1V6hkT_EDlft0WNikVnGbQv_Uv9g30WF3FA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Brownian search for targets hidden in cusp-like pockets: Progress and Applications</title><source>SpringerLink Journals</source><creator>Guerrier, C. ; Holcman, D.</creator><creatorcontrib>Guerrier, C. ; Holcman, D.</creatorcontrib><description>We report here recent progress in computing the search time for a stochastic particle to find a small target hidden in cusp-like pockets. The target is a small segment in dimension two, a small hole or a narrow ribbon in dimension three, placed at the end of a cusp. The asymptotic analysis of the diffusion equation reveals the role of the local geometry, and a mathematical difficulty comes from the boundary layer near the target. The methods are conformal mapping and matching asymptotic. We present applications in cell biology where cellular activation occurs when a diffusing particle finds a hidden site. This is the case during vesicular fusion initiated after a protein located between the vesicular and cell membranes binds to several diffusing calcium ions. Another example is a drug activation site located inside a deep molecular pocket. The analytical formulas clarify the role of small parameters.</description><identifier>ISSN: 1951-6355</identifier><identifier>EISSN: 1951-6401</identifier><identifier>DOI: 10.1140/epjst/e2014-02332-6</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Atomic ; Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov ; Classical and Continuum Physics ; Condensed Matter Physics ; L. Schimansky-Geier and G. Schmid (Eds.) ; Materials Science ; Mathematics ; Measurement Science and Instrumentation ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Regular Article</subject><ispartof>The European physical journal. ST, Special topics, 2014-12, Vol.223 (14), p.3273-3285</ispartof><rights>EDP Sciences and Springer 2014</rights><rights>Distributed under a Creative Commons Attribution 4.0 International License</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c328t-d5a219036746fa0c0df53b2c75b342701b64e7bf93838df6c2f0a5a79e6022fe3</citedby><cites>FETCH-LOGICAL-c328t-d5a219036746fa0c0df53b2c75b342701b64e7bf93838df6c2f0a5a79e6022fe3</cites><orcidid>0000-0002-1128-1069</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjst/e2014-02332-6$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjst/e2014-02332-6$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>230,314,776,780,881,27901,27902,41464,42533,51294</link.rule.ids><backlink>$$Uhttps://hal.science/hal-03431657$$DView record in HAL$$Hfree_for_read</backlink></links><search><creatorcontrib>Guerrier, C.</creatorcontrib><creatorcontrib>Holcman, D.</creatorcontrib><title>Brownian search for targets hidden in cusp-like pockets: Progress and Applications</title><title>The European physical journal. ST, Special topics</title><addtitle>Eur. Phys. J. Spec. Top</addtitle><description>We report here recent progress in computing the search time for a stochastic particle to find a small target hidden in cusp-like pockets. The target is a small segment in dimension two, a small hole or a narrow ribbon in dimension three, placed at the end of a cusp. The asymptotic analysis of the diffusion equation reveals the role of the local geometry, and a mathematical difficulty comes from the boundary layer near the target. The methods are conformal mapping and matching asymptotic. We present applications in cell biology where cellular activation occurs when a diffusing particle finds a hidden site. This is the case during vesicular fusion initiated after a protein located between the vesicular and cell membranes binds to several diffusing calcium ions. Another example is a drug activation site located inside a deep molecular pocket. The analytical formulas clarify the role of small parameters.</description><subject>Atomic</subject><subject>Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov</subject><subject>Classical and Continuum Physics</subject><subject>Condensed Matter Physics</subject><subject>L. Schimansky-Geier and G. Schmid (Eds.)</subject><subject>Materials Science</subject><subject>Mathematics</subject><subject>Measurement Science and Instrumentation</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><issn>1951-6355</issn><issn>1951-6401</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKu_wEuuHtZOPrfrrRa1QkERPYdsNmnT1mRJtor_3m2rHj3NMPM-A_MgdEngmhAOI9uucjeyFAgvgDJGC3mEBqQSpJAcyPFvz4Q4RWc5rwCEpBUboJfbFD-D1wFnq5NZYhcT7nRa2C7jpW8aG7AP2GxzW2z82uI2mnW_u8HPKS6SzRnr0OBJ22680Z2PIZ-jE6c32V781CF6u797nc6K-dPD43QyLwyj465ohKakAiZLLp0GA40TrKamFDXjtARSS27L2lVszMaNk4Y60EKXlZVAqbNsiK4Od5d6o9rk33X6UlF7NZvM1W4GjDMiRflB-iw7ZE2KOSfr_gACaqdQ7RWqvUK1V6hkT_EDlft0WNikVnGbQv_Uv9g30WF3FA</recordid><startdate>20141201</startdate><enddate>20141201</enddate><creator>Guerrier, C.</creator><creator>Holcman, D.</creator><general>Springer Berlin Heidelberg</general><general>EDP Sciences</general><scope>AAYXX</scope><scope>CITATION</scope><scope>1XC</scope><orcidid>https://orcid.org/0000-0002-1128-1069</orcidid></search><sort><creationdate>20141201</creationdate><title>Brownian search for targets hidden in cusp-like pockets: Progress and Applications</title><author>Guerrier, C. ; Holcman, D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c328t-d5a219036746fa0c0df53b2c75b342701b64e7bf93838df6c2f0a5a79e6022fe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Atomic</topic><topic>Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov</topic><topic>Classical and Continuum Physics</topic><topic>Condensed Matter Physics</topic><topic>L. Schimansky-Geier and G. Schmid (Eds.)</topic><topic>Materials Science</topic><topic>Mathematics</topic><topic>Measurement Science and Instrumentation</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Guerrier, C.</creatorcontrib><creatorcontrib>Holcman, D.</creatorcontrib><collection>CrossRef</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>The European physical journal. ST, Special topics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Guerrier, C.</au><au>Holcman, D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Brownian search for targets hidden in cusp-like pockets: Progress and Applications</atitle><jtitle>The European physical journal. ST, Special topics</jtitle><stitle>Eur. Phys. J. Spec. Top</stitle><date>2014-12-01</date><risdate>2014</risdate><volume>223</volume><issue>14</issue><spage>3273</spage><epage>3285</epage><pages>3273-3285</pages><issn>1951-6355</issn><eissn>1951-6401</eissn><abstract>We report here recent progress in computing the search time for a stochastic particle to find a small target hidden in cusp-like pockets. The target is a small segment in dimension two, a small hole or a narrow ribbon in dimension three, placed at the end of a cusp. The asymptotic analysis of the diffusion equation reveals the role of the local geometry, and a mathematical difficulty comes from the boundary layer near the target. The methods are conformal mapping and matching asymptotic. We present applications in cell biology where cellular activation occurs when a diffusing particle finds a hidden site. This is the case during vesicular fusion initiated after a protein located between the vesicular and cell membranes binds to several diffusing calcium ions. Another example is a drug activation site located inside a deep molecular pocket. The analytical formulas clarify the role of small parameters.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjst/e2014-02332-6</doi><tpages>13</tpages><orcidid>https://orcid.org/0000-0002-1128-1069</orcidid></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1951-6355 |
| ispartof | The European physical journal. ST, Special topics, 2014-12, Vol.223 (14), p.3273-3285 |
| issn | 1951-6355 1951-6401 |
| language | eng |
| recordid | cdi_hal_primary_oai_HAL_hal_03431657v1 |
| source | SpringerLink Journals |
| subjects | Atomic Brownian Motion in Confined Geometries. Guest Editors: S.M. Bezrukov Classical and Continuum Physics Condensed Matter Physics L. Schimansky-Geier and G. Schmid (Eds.) Materials Science Mathematics Measurement Science and Instrumentation Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article |
| title | Brownian search for targets hidden in cusp-like pockets: Progress and Applications |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-18T23%3A00%3A57IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-hal_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Brownian%20search%20for%20targets%20hidden%20in%20cusp-like%20pockets:%20Progress%20and%20Applications&rft.jtitle=The%20European%20physical%20journal.%20ST,%20Special%20topics&rft.au=Guerrier,%20C.&rft.date=2014-12-01&rft.volume=223&rft.issue=14&rft.spage=3273&rft.epage=3285&rft.pages=3273-3285&rft.issn=1951-6355&rft.eissn=1951-6401&rft_id=info:doi/10.1140/epjst/e2014-02332-6&rft_dat=%3Chal_cross%3Eoai_HAL_hal_03431657v1%3C/hal_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |