Difference between revisions of "Team:Manchester/Model/ParameterRelationships"

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<p id ="TopTitle" style="border-bottom: 1px black solid ;font-size:25px;text-weight:bold;display:inline-block">Parameter Relationshpis Analysis</p>
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</br>
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<p> Contents </p>
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<a href="#OverviewTitle">Overview and Motivation</a> </br>
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<a href="#MethodologyTitle">Methodology</a> </br>
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<a href="#ResultsTitle">Results</a> </br>
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<a href="#ConclusionsTitle">Conclusions</a> </br>
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<p id = "OverviewTitle" style="border-bottom: 1px black solid ;font-size:25px;text-weight:bold;display:inline-block">Overview and Motivation</p>
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<p> During the early experimental phase of the model production, it was noticed that for some parameters the actual value did not matter too much, these 'sloppy' parameters could have a large range of values with minimal impact on the main model predictions. Instead it was notices that these parameters were often grouped and whilst individually they are 'sloppy' some relationship between them is in fact not. This analysis is to look at and highlight these realtionships.</p>
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<a href="#TopTitle">Return to top of page</a>
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<p id = "MethodologyTitle" style="border-bottom: 1px black solid ;font-size:25px;text-weight:bold;display:inline-block">Methodology</p>
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<p> The model was run many times, the concentration vs time data was then compared with experimental data. </p>
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<p> The data was assessed using a mean squared error</p>
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$$MSE =  n^{-1}{\sum_{i=1}^n(y_{i,experimental}-y_{i,model})^2}$$
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<p>the top 10% of model runs were recorded. The parameter sets which generated this data was then stored. </p>
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<p> This process was repeated 
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</br>
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<a href="#TopTitle">Return to top of page</a>
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</br>
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<p id = "ResultsTitle" style="border-bottom: 1px black solid ;font-size:25px;text-weight:bold;display:inline-block">Results</p>
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<p>
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PLACEHOLDER FOR GRAPHS, 2D and 3D
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</p>
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</br>
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<a href="#TopTitle">Return to top of page</a>
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</br>
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<p id = "ConclusionsTitle" style="border-bottom: 1px black solid ;font-size:25px;text-weight:bold;display:inline-block">Conclusions</p>
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PLACEHOLDER
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</br>
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</br>
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<a href="#TopTitle">Return to top of page</a>
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</br>
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<a href="https://2016.igem.org/Team:Manchester/Model">Return to overview</a>
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{{Manchester/CSS/footer}}

Revision as of 22:03, 17 October 2016

Manchester iGEM 2016

Parameter Relationshpis Analysis


Contents

Overview and Motivation
Methodology
Results
Conclusions

Overview and Motivation

During the early experimental phase of the model production, it was noticed that for some parameters the actual value did not matter too much, these 'sloppy' parameters could have a large range of values with minimal impact on the main model predictions. Instead it was notices that these parameters were often grouped and whilst individually they are 'sloppy' some relationship between them is in fact not. This analysis is to look at and highlight these realtionships.


Return to top of page

Methodology

The model was run many times, the concentration vs time data was then compared with experimental data.

The data was assessed using a mean squared error

$$MSE = n^{-1}{\sum_{i=1}^n(y_{i,experimental}-y_{i,model})^2}$$

the top 10% of model runs were recorded. The parameter sets which generated this data was then stored.

This process was repeated
Return to top of page

Results

PLACEHOLDER FOR GRAPHS, 2D and 3D


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Conclusions

PLACEHOLDER



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Return to overview