A Becker–Döring Type Model for Cell Polarization
We propose a model for cell polarization based on the Becker–Döring equations with the first coagulation coefficient equal to zero. We show convergence to equilibrium for power-law coagulation and fragmentation rates and obtain a loss of mass in the limit t → ∞ depending on the initial mass and the...
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| Veröffentlicht in: | Journal of statistical physics 2023-08, Vol.190 (8), Article 133 |
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| container_title | Journal of statistical physics |
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| creator | Pohl, Lorena Niethammer, Barbara |
| description | We propose a model for cell polarization based on the Becker–Döring equations with the first coagulation coefficient equal to zero. We show convergence to equilibrium for power-law coagulation and fragmentation rates and obtain a loss of mass in the limit
t
→
∞
depending on the initial mass and the relative strengths of the coagulation and fragmentation processes. In the case of linear rates, we further show that large clusters evolve in a self-similar manner at large times by comparing limits of appropriately rescaled solutions in different spaces. |
| doi_str_mv | 10.1007/s10955-023-03144-0 |
| format | Article |
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t
→
∞
depending on the initial mass and the relative strengths of the coagulation and fragmentation processes. In the case of linear rates, we further show that large clusters evolve in a self-similar manner at large times by comparing limits of appropriately rescaled solutions in different spaces.</description><identifier>ISSN: 1572-9613</identifier><identifier>ISSN: 0022-4715</identifier><identifier>EISSN: 1572-9613</identifier><identifier>DOI: 10.1007/s10955-023-03144-0</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Mathematical and Computational Physics ; Physical Chemistry ; Physics ; Physics and Astronomy ; Quantum Physics ; Statistical Physics and Dynamical Systems ; Theoretical</subject><ispartof>Journal of statistical physics, 2023-08, Vol.190 (8), Article 133</ispartof><rights>The Author(s) 2023</rights><rights>COPYRIGHT 2023 Springer</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c325t-2012b4118e6afdf49490dd3093d5e5732ff65360fd81ce1878283eb8ff3faa173</cites><orcidid>0000-0003-0092-4900 ; 0000-0001-9075-7442</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10955-023-03144-0$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10955-023-03144-0$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,777,781,27905,27906,41469,42538,51300</link.rule.ids></links><search><creatorcontrib>Pohl, Lorena</creatorcontrib><creatorcontrib>Niethammer, Barbara</creatorcontrib><title>A Becker–Döring Type Model for Cell Polarization</title><title>Journal of statistical physics</title><addtitle>J Stat Phys</addtitle><description>We propose a model for cell polarization based on the Becker–Döring equations with the first coagulation coefficient equal to zero. We show convergence to equilibrium for power-law coagulation and fragmentation rates and obtain a loss of mass in the limit
t
→
∞
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t
→
∞
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| ispartof | Journal of statistical physics, 2023-08, Vol.190 (8), Article 133 |
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| subjects | Mathematical and Computational Physics Physical Chemistry Physics Physics and Astronomy Quantum Physics Statistical Physics and Dynamical Systems Theoretical |
| title | A Becker–Döring Type Model for Cell Polarization |
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