Literature DB >> 18272493

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

Richard C Schugart1, Avner Friedman, Rui Zhao, Chandan K Sen.   

Abstract

Wound healing represents a well orchestrated reparative response that is induced by injuries. Angiogenesis plays a central role in wound healing. In this work, we sought to develop the first mathematical model directed at addressing the role of tissue oxygen tension on cutaneous wound healing. Key components of the developed model include capillary tips, capillary sprouts, fibroblasts, inflammatory cells, chemoattractants, oxygen, and the extracellular matrix. The model consists of a system of nonlinear partial differential equations describing the interactions in space and time of these variables. The simulated results agree with the reported literature on the biology of wound healing. The proposed model represents a useful tool to analyze strategies for improved healing and generate a hypothesis for experimental testing.

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Year:  2008        PMID: 18272493      PMCID: PMC2268187          DOI: 10.1073/pnas.0711642105

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  60 in total

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3.  Discoidin domain receptor 2 regulates fibroblast proliferation and migration through the extracellular matrix in association with transcriptional activation of matrix metalloproteinase-2.

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Journal:  Wound Repair Regen       Date:  2005 Nov-Dec       Impact factor: 3.617

6.  Biphasic oxygen kinetics of cellular respiration and linear oxygen dependence of antimycin A inhibited oxygen consumption.

Authors:  Eveline Hütter; Kathrin Renner; Pidder Jansen-Dürr; Erich Gnaiger
Journal:  Mol Biol Rep       Date:  2002       Impact factor: 2.316

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Authors:  Ehsan Jabbarzadeh; Cameron F Abrams
Journal:  Tissue Eng       Date:  2007-08

8.  A mechanochemical model for adult dermal wound contraction and the permanence of the contracted tissue displacement profile.

Authors:  L Olsen; J A Sherratt; P K Maini
Journal:  J Theor Biol       Date:  1995-11-21       Impact factor: 2.691

9.  Hyperoxia retards growth and induces apoptosis and loss of glands and blood vessels in DMBA-induced rat mammary tumors.

Authors:  Anette Raa; Christine Stansberg; Vidar M Steen; Rolf Bjerkvig; Rolf K Reed; Linda E B Stuhr
Journal:  BMC Cancer       Date:  2007-01-30       Impact factor: 4.430

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Journal:  J Cell Sci       Date:  1991-06       Impact factor: 5.285

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  49 in total

1.  A mathematical model for chronic wounds.

Authors:  Avner Friedman; Chuan Xue
Journal:  Math Biosci Eng       Date:  2011-04       Impact factor: 2.080

2.  A finite-element model for healing of cutaneous wounds combining contraction, angiogenesis and closure.

Authors:  F J Vermolen; E Javierre
Journal:  J Math Biol       Date:  2011-11-10       Impact factor: 2.259

3.  A Predictive Tool for Foreign Body Fibrotic Reactions Using 2-Dimensional Computational Model.

Authors:  Jianzhong Su; Michail Todorov; Humberto Perez Gonzales; Larrissa Perkins; Hristo Kojouharov; Hong Weng; Liping Tang
Journal:  Open Access Bioinformatics       Date:  2011-01-01

Review 4.  Mathematical models of wound healing and closure: a comprehensive review.

Authors:  Stephanie N Jorgensen; Jonathan R Sanders
Journal:  Med Biol Eng Comput       Date:  2015-12-30       Impact factor: 2.602

Review 5.  Systems biology of the microvasculature.

Authors:  Lindsay E Clegg; Feilim Mac Gabhann
Journal:  Integr Biol (Camb)       Date:  2015-04-02       Impact factor: 2.192

6.  Interplay between p53 and VEGF: how to prevent the guardian from becoming a villain.

Authors:  S Haupt; C Gamell; K Wolyniec; Y Haupt
Journal:  Cell Death Differ       Date:  2013-07       Impact factor: 15.828

7.  Experimental and computational analyses reveal dynamics of tumor vessel cooption and optimal treatment strategies.

Authors:  Chrysovalantis Voutouri; Nathaniel D Kirkpatrick; Euiheon Chung; Fotios Mpekris; James W Baish; Lance L Munn; Dai Fukumura; Triantafyllos Stylianopoulos; Rakesh K Jain
Journal:  Proc Natl Acad Sci U S A       Date:  2019-01-30       Impact factor: 11.205

8.  The Kunitz-like modulatory protein haemangin is vital for hard tick blood-feeding success.

Authors:  M Khyrul Islam; Naotoshi Tsuji; Takeharu Miyoshi; M Abdul Alim; Xiaohong Huang; Takeshi Hatta; Kozo Fujisaki
Journal:  PLoS Pathog       Date:  2009-07-10       Impact factor: 6.823

9.  Hypoxia inducible factors-mediated inhibition of cancer by GM-CSF: a mathematical model.

Authors:  Duan Chen; Julie M Roda; Clay B Marsh; Timothy D Eubank; Avner Friedman
Journal:  Bull Math Biol       Date:  2012-10-17       Impact factor: 1.758

10.  A three species model to simulate application of Hyperbaric Oxygen Therapy to chronic wounds.

Authors:  Jennifer A Flegg; Donald L S McElwain; Helen M Byrne; Ian W Turner
Journal:  PLoS Comput Biol       Date:  2009-07-31       Impact factor: 4.475

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