Team:Dundee/Project/DetectionComparison

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Revision as of 11:39, 26 August 2013

iGEM Dundee 2013 · ToxiMop

Detection Comparison

The current method for detecting toxic levels of microcystin is to take a sample of water from different regions of the site being investigated and then to carry out high performance liquid chromatography (HPLC). This process currently takes approximately 24 hours, we hope to reduce this to a more suitable 1 hour.

Assuming the cyanobacteria undergo binary fission and growth is uninhibited we were able to determine how the problem increases over 24 hours in comparison to 1 hour detection.

MC(T) = Nb₀2^t

where

MC(T) is the number of microcystin at time t
b₀ is the initial number of algae

The ratio for time t=24:1 is 8.4million:1. To put this into perspective this is the same as the height of the empire state building compared with the length of 7 E.coli bacterium. This model therefore emphasises that the 1 hour detection period is much more efficient

@@ Line 9: / Line 9: @@
        <!-- Title -->
        <div class="page-header">
-          <h2><b>Insight to the Mathematical World</b> </h2>
-        </div>
-      <!-- Title End -->
-      <div class="row" style="text-align:justify;margin-top:-20px;">
+<h2><b>Detection Comparison</b></h2>
-        <div class="span12">
-          <h2>Aims:</h2>
+<div><p>The current method for detecting toxic levels of microcystin is to take a sample of water from different regions of the site being investigated and then to carry out high performance liquid chromatography (HPLC). This process currently takes approximately 24 hours, we hope to reduce this to a more suitable 1 hour.<br><br>
-          <p>Using mathematical tools to allow us to predict the limiting factors in the production of PP1 and its mopping applications. Working alongside the biologists to produce models which are relevant and can predict what is expected to happen during the synthetic engineering of the mop and detection bacteria.</p>
-        </div>
+Assuming the cyanobacteria undergo binary fission and growth is uninhibited we were able to determine how the problem increases over 24 hours in comparison to 1 hour detection.<br><br>
+<div class="span6" style="text-align: justify">
+<em>MC(T) &#61; Nb<sub>0</sub>2<sup>t</sup></em>
+<br><br>
+ where     <ul><li><em>MC&#40;T&#41; </em> is the number of microcystin at time <em>t</em></li>
+	     	<li><em>b<sub>0</sub></em> is the initial number of algae</li>
+	     	</ul><br><br>
+</div>
+<div style="text-align: justify">
+<p>The ratio for time t=24:1 is 8.4million:1. To put this into perspective this is the same as the height of the empire state building compared with the length of 7 E.coli bacterium.
+This model therefore emphasises that the 1 hour detection period is much more efficient</p></div>