Difference between revisions of "Team:Edinburgh UG/Mechanistic Modelling Intro"

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             <h2 style="text-align:left">Modelling Methodology</h2>
 
             <h2 style="text-align:left">Modelling Methodology</h2>
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             <p style="text-align:left"> A wide variety of modelling methodologies exist with adaptations to a miriad of different tasks. Here we would like to focus on the particular mechanistic modelling methodology that we applied in our DNA Degradation Switch, Semantic Containment Failure and Collaboration models.</p>
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             <p style="text-align:left"> A wide variety of modelling methodologies exist with adaptations to a myriad of different tasks. Here we would like to focus on the particular mechanistic modelling methodology that we applied in our DNA Degradation Switch, Semantic Containment Failure and Collaboration models. In each of these models we began with a collection of mass action equations which were used to derive a system of ordinary differential equations(ODE). By solving the resulting system using SciPy's ODE solver it is possible to keep track of the changing levels of different reactants involved over the model runtime.</p>
 
             <h2 style="text-align:left">Mass Action Equations</h2>
 
             <h2 style="text-align:left">Mass Action Equations</h2>
 
             <h2 style="text-align:left">Ordinary Differential Equations</h2>
 
             <h2 style="text-align:left">Ordinary Differential Equations</h2>

Revision as of 21:40, 16 October 2018

Edinburgh iGEM 2018

Mechanistic Modelling for the uninitiated

Why do Mathematical Modelling?

Synthetic Biology is a discipline with an inherantly large amount of unpredictability. There are many difficult to account for factors within the cell which can cause BioBrick parts to function in unexpected ways. In order to combat this uncertainty mathematical modelling techniques are often applied to make predictions about how BioBrick parts will operate to inform their design and characterisation before parts are obtained by DNA synthesis or other methods.

Modelling Methodology

A wide variety of modelling methodologies exist with adaptations to a myriad of different tasks. Here we would like to focus on the particular mechanistic modelling methodology that we applied in our DNA Degradation Switch, Semantic Containment Failure and Collaboration models. In each of these models we began with a collection of mass action equations which were used to derive a system of ordinary differential equations(ODE). By solving the resulting system using SciPy's ODE solver it is possible to keep track of the changing levels of different reactants involved over the model runtime.

Mass Action Equations

Ordinary Differential Equations

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