A mathematical model for chronic wounds

Chronic wounds are often associated with ischemic conditions whereby the blood vascular system is damaged. A mathematical model which accounts for these conditions is developed and computational results are described in the two-dimensional radially symmetric case. Preliminary results for the three-d...

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Main Authors: Avner Friedman, Chuan Xue
Format: Article
Language:English
Published: AIMS Press 2011-03-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.253
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author Avner Friedman
Chuan Xue
author_facet Avner Friedman
Chuan Xue
author_sort Avner Friedman
collection DOAJ
description Chronic wounds are often associated with ischemic conditions whereby the blood vascular system is damaged. A mathematical model which accounts for these conditions is developed and computational results are described in the two-dimensional radially symmetric case. Preliminary results for the three-dimensional axially symmetric case are also included.
format Article
id doaj-art-c80fbcb6b60648d4bb5a783fdaf86408
institution Kabale University
issn 1551-0018
language English
publishDate 2011-03-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-c80fbcb6b60648d4bb5a783fdaf864082025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018225326110.3934/mbe.2011.8.253A mathematical model for chronic woundsAvner Friedman0Chuan Xue1Mathematical Biosciences Institute and Department of Mathematics, Ohio State University, Columbus, OH 43210Mathematical Biosciences Institute and Department of Mathematics, Ohio State University, Columbus, OH 43210Chronic wounds are often associated with ischemic conditions whereby the blood vascular system is damaged. A mathematical model which accounts for these conditions is developed and computational results are described in the two-dimensional radially symmetric case. Preliminary results for the three-dimensional axially symmetric case are also included.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.253free boundary problemviscoelasticity.chronic wound healing
spellingShingle Avner Friedman
Chuan Xue
A mathematical model for chronic wounds
Mathematical Biosciences and Engineering
free boundary problem
viscoelasticity.
chronic wound healing
title A mathematical model for chronic wounds
title_full A mathematical model for chronic wounds
title_fullStr A mathematical model for chronic wounds
title_full_unstemmed A mathematical model for chronic wounds
title_short A mathematical model for chronic wounds
title_sort mathematical model for chronic wounds
topic free boundary problem
viscoelasticity.
chronic wound healing
url https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.253
work_keys_str_mv AT avnerfriedman amathematicalmodelforchronicwounds
AT chuanxue amathematicalmodelforchronicwounds
AT avnerfriedman mathematicalmodelforchronicwounds
AT chuanxue mathematicalmodelforchronicwounds