A simple model of collagen remodeling
Grzegorz Dudziuk , Mirosław Lachowicz , Henryk Leszczyński , Zuzanna Szymańska
AbstractIn 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.
|Journal series||Discrete and Continuous Dynamical Systems-Series B, ISSN 1531-3492, (N/A 100 pkt)|
|Publication size in sheets||0.6|
|Keywords in English||collagen remodeling, blow-ups, integro-differential equations, alignment, mathematical model, tendon healing|
|Score||= 100.0, 03-12-2019, ArticleFromJournal|
|Publication indicators||= 0; : 2018 = 0.782; : 2018 = 1.008 (2) - 2018=1.283 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.