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Dostęp zamkniętyA simple model of collagen remodeling
| cris.lastimport.scopus | 2024-02-12T20:18:07Z |
| dc.abstract.en | In the present paper we propose and study a simple model of collagen remodeling occurring in latter stage of tendon healing process. The model is an integro-differential equation describing the possibility of an alignment of collagen fibers in a finite time. We show that the solutions may either exist globally in time or blow-up in a finite time depending on initial data. The latter behavior can be related to the healing of injury without the scar formation in a finite time: a full alignment of collagen fibers. We believe that the present model is an essential ingredient of the full description of collagen remodeling. |
| dc.affiliation | Uniwersytet Warszawski |
| dc.contributor.author | Leszczyński, Henryk |
| dc.contributor.author | Szymańska, Zuzanna |
| dc.contributor.author | Dudziuk, Grzegorz |
| dc.contributor.author | Lachowicz, Mirosław |
| dc.date.accessioned | 2024-01-24T18:12:31Z |
| dc.date.available | 2024-01-24T18:12:31Z |
| dc.date.issued | 2019 |
| dc.description.finance | Nie dotyczy |
| dc.description.volume | 24 |
| dc.identifier.doi | 10.3934/DCDSB.2019091 |
| dc.identifier.issn | 1531-3492 |
| dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/101869 |
| dc.identifier.weblink | http://aimsciences.org/article/doi/10.3934/dcdsb.2019091 |
| dc.language | eng |
| dc.pbn.affiliation | mathemathics |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems - Series B |
| dc.relation.pages | 2205-2217 |
| dc.rights | ClosedAccess |
| dc.sciencecloud | nosend |
| dc.subject.en | collagen remodeling |
| dc.subject.en | blow-ups |
| dc.subject.en | integro-differential equations |
| dc.subject.en | alignment |
| dc.subject.en | mathematical model |
| dc.subject.en | tendon healing |
| dc.title | A simple model of collagen remodeling |
| dc.type | JournalArticle |
| dspace.entity.type | Publication |