Team:Dundee/Modelling

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                <center><h2>Modelling</h2></center>
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            <h3 class="white">Endolysin and <em>C.diff</em></h3>
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                <I>Clostridium difficile</I> (<I>C. diff</I>) is a gram-positive bacterium that lives naturally in the gut. In healthy individuals, the levels of <I>C. diff</I>  are kept constant due to competition with other naturally occurring bacterial species in the gut flora. However, when patients receive large doses of antibiotics, competing gut flora can be wiped out. This can allow the population of <I>C. diff</I>  to increase to a level where infection can be caused and in some cases resulting in severe colitis. <I>C. diff</I>  has therefore become a major cause of hospital acquired infections, with, for example, some 2645 patients in hospitals in England and Wales found suffering from <I>C. diff</I>  induced colitis in March-May 2010.
 
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Infection rates have also been high at Dundee's Ninewells Hospital, which is affiliated with the University of Dundee. As a result, in 2010 a ward at the hospital was closed following the deaths of 5 elderly patients due to <I>C. diff</I>  infections. So for us, this is also a very local health problem. Up until now, there have been two ways of treating this problem: prescribe more antibiotics, with the added difficulty of possibly causing more resistance to build-up, or by means of faecal transplant. A faecal transplant involves the faeces of a person close to the patient being transplanted directly into the patient's colon or through a drip into the stomach. This has been proven to be effective in test cases, but is obviously an unsavoury form of treatment for many patients and so the idea of creating an alternative gave rise to this project.         
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            <h3 class="white">ODE - <em>E.coli</em> and <em>C.diff</em></h3>
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                For our first model we wanted to represent the population dynamics of C.diff and E.coli
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                using ordinary differential equations (ODEs). The two equations show the rate of change
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                of the size of the population. 
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            <h3 class="white">PDE - <em>E.coli</em> and <em>C.diff</em></h3>
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Revision as of 19:11, 17 September 2012

Modelling

Endolysin and C.diff

ODE - E.coli and C.diff

For our first model we wanted to represent the population dynamics of C.diff and E.coli using ordinary differential equations (ODEs). The two equations show the rate of change of the size of the population.

PDE - E.coli and C.diff