Literature DB >> 21631128

A mathematical model for chronic wounds.

Avner Friedman1, Chuan Xue.   

Abstract

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.

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Year:  2011        PMID: 21631128      PMCID: PMC3717365          DOI: 10.3934/mbe.2011.8.253

Source DB:  PubMed          Journal:  Math Biosci Eng        ISSN: 1547-1063            Impact factor:   2.080


  15 in total

Review 1.  Cutaneous wound healing.

Authors:  A J Singer; R A Clark
Journal:  N Engl J Med       Date:  1999-09-02       Impact factor: 91.245

Review 2.  Making vascular networks in the adult: branching morphogenesis without a roadmap.

Authors:  Yuval Dor; Valentin Djonov; Eli Keshet
Journal:  Trends Cell Biol       Date:  2003-03       Impact factor: 20.808

Review 3.  Induction of vascular networks in adult organs: implications to proangiogenic therapy.

Authors:  Yuval Dor; Valentin Djonov; Eli Keshet
Journal:  Ann N Y Acad Sci       Date:  2003-05       Impact factor: 5.691

Review 4.  Impaired wound healing.

Authors:  Nathan B Menke; Kevin R Ward; Tarynn M Witten; Danail G Bonchev; Robert F Diegelmann
Journal:  Clin Dermatol       Date:  2007 Jan-Feb       Impact factor: 3.541

5.  Wound angiogenesis as a function of tissue oxygen tension: a mathematical model.

Authors:  Richard C Schugart; Avner Friedman; Rui Zhao; Chandan K Sen
Journal:  Proc Natl Acad Sci U S A       Date:  2008-02-12       Impact factor: 11.205

6.  A model of wound-healing angiogenesis in soft tissue.

Authors:  G J Pettet; H M Byrne; D L McElwain; J Norbury
Journal:  Math Biosci       Date:  1996-08       Impact factor: 2.144

7.  A mathematical model for collagen fibre formation during foetal and adult dermal wound healing.

Authors:  P D Dale; J A Sherratt; P K Maini
Journal:  Proc Biol Sci       Date:  1996-05-22       Impact factor: 5.349

8.  Continuous and discrete mathematical models of tumor-induced angiogenesis.

Authors:  A R Anderson; M A Chaplain
Journal:  Bull Math Biol       Date:  1998-09       Impact factor: 1.758

9.  Human skin wounds: a major and snowballing threat to public health and the economy.

Authors:  Chandan K Sen; Gayle M Gordillo; Sashwati Roy; Robert Kirsner; Lynn Lambert; Thomas K Hunt; Finn Gottrup; Geoffrey C Gurtner; Michael T Longaker
Journal:  Wound Repair Regen       Date:  2009 Nov-Dec       Impact factor: 3.617

10.  Evidence-based management strategies for treatment of chronic wounds.

Authors:  Frank Werdin; Mayer Tennenhaus; Hans-Eberhardt Schaller; Hans-Oliver Rennekampff
Journal:  Eplasty       Date:  2009-06-04
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  2 in total

1.  Mathematical model and computational scheme for multi-phase modeling of cellular population and microenvironmental dynamics in soft tissue.

Authors:  Gregory Baramidze; Victoria Baramidze; Ying Xu
Journal:  PLoS One       Date:  2021-11-17       Impact factor: 3.240

2.  A non-local evolution equation model of cell-cell adhesion in higher dimensional space.

Authors:  Janet Dyson; Stephen A Gourley; Glenn F Webb
Journal:  J Biol Dyn       Date:  2013-01-07       Impact factor: 2.179

  2 in total

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