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SUMMARY:Mathematical modelling of the healing of venous leg ulcers
DTSTART;VALUE=DATE-TIME:20180709T052000Z
DTEND;VALUE=DATE-TIME:20180709T054000Z
DTSTAMP;VALUE=DATE-TIME:20241107T223630Z
UID:indico-contribution-449@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Sontosh Kumar Sahani (The University of Melbourne)\n
A leg wound which does not heal because of problems with the veins in the
leg is called a venous leg ulcer (VLU). Chronic VLUs are the most common c
hronic wounds in western countries and their treatment is both costly and
time consuming. In this work\, we present a mathematical model of the heal
ing of a VLU which incorporates the key biological features of this wound
type. We have modelled the role of oxygen\, fibroblasts and extra-cellular
matrix (ECM) within the wound site. The model consists of a system of non
linear partial differential equations describing their interactions in spa
ce and time coupled with a moving wound outer boundary. The blood vessels
that surround the wound supply the oxygen that is needed to support the pr
ocesses of fibroblasts and ECM to repair the wound tissue. We consider a w
ound in a simplified one-dimensional geometry and the model equations are
discretised in space using the finite difference method and then solved in
MATLAB. Numerical results are presented for the oxygen\, fibroblasts and
ECM distribution within the wound space using parameter values sourced fro
m literature\, where possible. This model can be used as a predictive tool
in a clinical setting to compare treatments of VLUs including compression
bandages.\n\nhttps://conferences.maths.unsw.edu.au/event/2/contributions/
449/
LOCATION:University of Sydney New Law School/--104
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/449/
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