Wound healing angiogenesis: the clinical implications of a simple mathematical model

DOI10.1016/j.jtbi.2012.01.043zbMath1397.92324OpenAlexW2034925139WikidataQ51425385 ScholiaQ51425385MaRDI QIDQ1784245

Jennifer A. Flegg, Mark B. Flegg, D. L. Sean McElwain, Helen M. Byrne

Publication date: 26 September 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://eprints.qut.edu.au/48798/1/FleggJennifer_JTB2012.pdf

zbMATH Keywords

asymptotic analysisnumerical solutionchronic woundhyperbaric oxygen therapy

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)

Related Items (9)

Spatio-temporal models of lymphangiogenesis in wound healing ⋮ Modeling the effects of systemic mediators on the inflammatory phase of wound healing ⋮ A mathematical model of the use of supplemental oxygen to combat surgical site infection ⋮ Error analysis of finite difference/collocation method for the nonlinear coupled parabolic free boundary problem modeling plaque growth in the artery ⋮ Mathematical models for immunology: current state of the art and future research directions ⋮ Healing of venous ulcers using compression therapy: predictions of a mathematical model ⋮ Local meshless method for PDEs arising from models of wound healing ⋮ A mathematical model for lymphangiogenesis in normal and diabetic wounds ⋮ A current perspective on wound healing and tumour-induced angiogenesis

Cites Work

• A continuum mathematical model of the developing murine retinal vasculature
• Mathematical model of hyperbaric oxygen therapy applied to chronic diabetic wounds
• Computational approaches to solving equations arising from wound healing
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• A model of wound-healing angiogenesis in soft tissue
• Investigating a simple model of cutaneous wound healing angiogenesis
• Mathematical modeling of tumor-induced angiogenesis
• Mathematical Modelling of Angiogenesis in Wound Healing: Comparison of Theory and Experiment

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