EXPERIMENTALLY VALIDATED MULTIPHASE MATHEMATICAL MODELS OF LEG ULCERS
Grant number: DE160100227 | Funding period: 2017 - 2020
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)
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
Chronic wounds, such as venous leg ulcers, are difficult to treat and can reduce the quality of life for patients. Clinical trials..
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
In this paper we present and validate a simple adaptive surface remeshing technique to transfer history dependent variables from a..
Hypnozoite dynamics for Plasmodium vivax malaria: The epidemiological effects of radical cure.
Somya Mehra, Eva Stadler, David Khoury, James M McCaw, Jennifer A Flegg
Malaria is a mosquito-borne disease with a devastating global impact. Plasmodium vivax is a major cause of human malaria beyond su..
Detection and identification of cis-regulatory elements using change-point and classification algorithms.
Dominic Maderazo, Jennifer A Flegg, Manjula Algama, Mirana Ramialison, Jonathan Keith
BACKGROUND: Transcriptional regulation is primarily mediated by the binding of factors to non-coding regions in DNA. Identificatio..
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
Infections are a common complication of any surgery, often requiring a recovery period in hospital. Supplemental oxygen therapy ad..