An Upstream Finite Volume Scheme for a Bone Healing Model
This paper is devoted to the introduction of a numerical scheme for a bone healing model and simulation of skull fractures. The mathematical model describes the evolution of mesenchymal stem cells, osteoblasts, bone matrix and osteogenic growth factor. We propose a numerical scheme based on an impli...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Bulgarian Academy of Sciences, Institute of Mathematics and Informatics
2012-09-01
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| Series: | Biomath |
| Subjects: | |
| Online Access: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/14 |
| _version_ | 1797713830712705024 |
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| author | Alexandre Uzureau Yves Coudiere Mazen Saad |
| author_facet | Alexandre Uzureau Yves Coudiere Mazen Saad |
| author_sort | Alexandre Uzureau |
| collection | DOAJ |
| description | This paper is devoted to the introduction of a numerical scheme for a bone healing model and simulation of skull fractures. The mathematical model describes the evolution of mesenchymal stem cells, osteoblasts, bone matrix and osteogenic growth factor. We propose a numerical scheme based on an implicit finite volume method constructed on an orthogonal mesh. The efficiency and robustness of the scheme are shown in simulating a skull fracture in rats. |
| first_indexed | 2024-03-12T07:42:41Z |
| format | Article |
| id | doaj.art-7b19daee1c7e4f819f1512954cbc4c31 |
| institution | Directory Open Access Journal |
| issn | 1314-684X 1314-7218 |
| language | English |
| last_indexed | 2024-03-12T07:42:41Z |
| publishDate | 2012-09-01 |
| publisher | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics |
| record_format | Article |
| series | Biomath |
| spelling | doaj.art-7b19daee1c7e4f819f1512954cbc4c312023-09-02T21:12:21ZengBulgarian Academy of Sciences, Institute of Mathematics and InformaticsBiomath1314-684X1314-72182012-09-011110.11145/j.biomath.2012.09.25412An Upstream Finite Volume Scheme for a Bone Healing ModelAlexandre Uzureau0Yves CoudiereMazen SaadUniversité de NantesThis paper is devoted to the introduction of a numerical scheme for a bone healing model and simulation of skull fractures. The mathematical model describes the evolution of mesenchymal stem cells, osteoblasts, bone matrix and osteogenic growth factor. We propose a numerical scheme based on an implicit finite volume method constructed on an orthogonal mesh. The efficiency and robustness of the scheme are shown in simulating a skull fracture in rats.http://www.biomathforum.org/biomath/index.php/biomath/article/view/14bone growthfinite volume methodnumerical simulation |
| spellingShingle | Alexandre Uzureau Yves Coudiere Mazen Saad An Upstream Finite Volume Scheme for a Bone Healing Model Biomath bone growth finite volume method numerical simulation |
| title | An Upstream Finite Volume Scheme for a Bone Healing Model |
| title_full | An Upstream Finite Volume Scheme for a Bone Healing Model |
| title_fullStr | An Upstream Finite Volume Scheme for a Bone Healing Model |
| title_full_unstemmed | An Upstream Finite Volume Scheme for a Bone Healing Model |
| title_short | An Upstream Finite Volume Scheme for a Bone Healing Model |
| title_sort | upstream finite volume scheme for a bone healing model |
| topic | bone growth finite volume method numerical simulation |
| url | http://www.biomathforum.org/biomath/index.php/biomath/article/view/14 |
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