EXPERIMENTALLY VALIDATED MULTIPHASE MATHEMATICAL MODELS OF LEG ULCERS

Grant number: DE160100227 | Funding period: 2017 - 2020

Completed

Abstract

The project is designed to develop mathematical models of the complex biological processes of leg ulcer formation and healing. The project intends to combine mathematical techniques from fluid dynamics, mathematical biology, numerical analysis and statistical inference to develop novel, multiphase, validated mathematical models that capture the complex spatiotemporal evolution of cellular and chemical species during the formation and healing of a leg ulcer – biological processes which are currently poorly understood. The mathematical models are expected to provide new insight into the underlying biological mechanisms of leg ulcers and may ultimately improve management of chronic wounds.

Related publications (11)

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A Multiscale Mathematical Model of Plasmodium Vivax Transmission

Md Nurul Anwar, Roslyn I Hickson, Somya Mehra, James M McCaw, Jennifer A Flegg

2022-08-01

Malaria is caused by Plasmodium parasites which are transmitted to humans by the bite of an infected Anopheles mosquito. Plasmodiu..

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How quickly does a wound heal? Bayesian calibration of a mathematical model of venous leg ulcer healing

Adriana Zanca, James M Osborne, Sophie G Zaloumis, Carolina D Weller, Jennifer A Flegg

2022-06-14

Chronic wounds, such as venous leg ulcers, are difficult to treat and can reduce the quality of life for patients. Clinical trials..

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A simple history-dependent remeshing technique to increase finite element model stability in elastic surface deformations

Jessica R Crawshaw, Jennifer A Flegg, James M Osborne

2022-05-15

In this paper we present and validate a simple adaptive surface remeshing technique to transfer history dependent variables from a..

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Push or Pull? Cell Proliferation and Migration During Wound Healing

Adriana Zanca, Jennifer A Flegg, James M Osborne

2022-04-29

<jats:p>Wound healing of the skin is a complex process that is still not well-understood. Wound management is expensive for both i..

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Hypnozoite dynamics for Plasmodium vivax malaria: The epidemiological effects of radical cure.

Somya Mehra, Eva Stadler, David Khoury, James M McCaw, Jennifer A Flegg

2022-03-21

Malaria is a mosquito-borne disease with a devastating global impact. Plasmodium vivax is a major cause of human malaria beyond su..

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Detection and identification of cis-regulatory elements using change-point and classification algorithms.

Dominic Maderazo, Jennifer A Flegg, Manjula Algama, Mirana Ramialison, Jonathan Keith

2022-01-25

BACKGROUND: Transcriptional regulation is primarily mediated by the binding of factors to non-coding regions in DNA. Identificatio..

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Antibody Dynamics for Plasmodium vivax Malaria: A Mathematical Model.

Somya Mehra, James M McCaw, Mark B Flegg, Peter G Taylor, Jennifer A Flegg

2021-01-02

Malaria is a mosquito-borne disease that, despite intensive control and mitigation initiatives, continues to pose an enormous publ..

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Mathematical Modeling Can Advance Wound Healing Research

Shakti N Menon, Jennifer A Flegg

2020-09-11

Significance: For over 30 years, there has been sustained interest in the development of mathematical models for investigating the..

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An Activation-Clearance Model for Plasmodium vivax Malaria

Somya Mehra, James M McCaw, Mark B Flegg, Peter G Taylor, Jennifer A Flegg

2020-02-12

Malaria is an infectious disease with an immense global health burden. Plasmodium vivax is the most geographically widespread spec..

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A Current Perspective on Wound Healing and Tumour-Induced Angiogenesis

Jennifer A Flegg, Shakti N Menon, Helen M Byrne, DL Sean McElwain

2020-01-22

Angiogenesis, or capillary growth from pre-existing vasculature, is an essential component of several physiological processes, bot..

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A mathematical model of the use of supplemental oxygen to combat surgical site infection

Chathranee Jayathilake, Philip K Maini, Harriet W Hopf, DL Sean McElwain, Helen M Byrne, Mark B Flegg, Jennifer A Flegg

2019-04-07

Infections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy ad..

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