tailieunhanh - Báo cáo y học: "Modelling of oedemous limbs and venous ulcers using partial differential equations"

Tuyển tập các báo cáo nghiên cứu về y học được đăng trên tạp chí y học quốc tế cung cấp cho các bạn kiến thức về ngành y đề tài: Modelling of oedemous limbs and venous ulcers using partial differential equations | Theoretical Biology and Medical Modelling BioMed Central Research Open Access Modelling of oedemous limbs and venous ulcers using partial differential equations Hassan Ugail 1 and Michael J Wilson2 Address 1School of Informatics University of Bradford Bradford BD7 1DP UK and 2Department of Applied Mathematics University of Leeds Leeds LS2 9JT UK Email Hassan Ugail - Michael J Wilson - mike@ Corresponding author Published 03 August 2005 Received II May 2005 Theoretical Biology and Medical Modelling 2005 2 28 doi 1742-4682-2-AcCepted 03 August 2005 28 This article is available from http content 2 1 28 2005 Ugail and Wilson licensee BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http licenses by which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Abstract Background Oedema commonly known as tissue swelling occurs mainly on the leg and the arm. The condition may be associated with a range of causes such as venous diseases trauma infection joint disease and orthopaedic surgery. Oedema is caused by both lymphatic and chronic venous insufficiency which leads to pooling of blood and fluid in the extremities. This results in swelling mild redness and scaling of the skin all of which can culminate in ulceration. Methods We present a method to model a wide variety of geometries of limbs affected by oedema and venous ulcers. The shape modelling is based on the PDE method where a set of boundary curves are extracted from 3D scan data and are utilised as boundary conditions to solve a PDE which provides the geometry of an affected limb. For this work we utilise a mixture of fourth order and sixth order PDEs the solutions of which enable us to obtain a good representative shape of the limb and associated ulcers in question. Results A series of .