A simple model of collagen remodeling
Grzegorz Dudziuk , Mirosław Lachowicz , Henryk Leszczyński , Zuzanna Szymańska
Abstract
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.| Author | |
| Journal series | Discrete and Continuous Dynamical Systems-Series B, ISSN 1531-3492, (A 30 pkt) |
| Issue year | 2019 |
| Vol | 24 |
| No | 5 |
| Pages | 2205-2217 |
| Publication size in sheets | 0.6 |
| Keywords in English | collagen remodeling, blow-ups, integro-differential equations, alignment, mathematical model, tendon healing |
| ASJC Classification | ; |
| DOI | DOI:10.3934/dcdsb.2019091 |
| URL | http://aimsciences.org/article/doi/10.3934/dcdsb.2019091 |
| Language | en angielski |
| Score (nominal) | 30 |
| Score | = 30.0, 24-07-2019, ArticleFromJournal |
| Publication indicators | : 2016 = 0.975; : 2017 = 0.972 (2) - 2017=1.164 (5) |
| Citation count* |
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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