Team:Heidelberg/Modelling/Ind Production
From 2013.igem.org
Indigoidine Production. Quantitative dynamic modeling.
Highlights
- Suitable model for bacterial growth
- Proper description of Indigoidine Production
- Toxicity of Indigoidine synthesis for bacteria
- Optimized production rates
- Identifiability analysis
- ...
Abstract
...
Introduction
Based on coupled ordinary differential equations (ODEs).
Mathematical modelling allows for
Intro ctd.
Results
The ODE system determining the time evolution of the dynamical variables is given by the following four equations: $$ \mathrm{d}\mathrm{[Bac]}/\mathrm{d}t = -\frac{\mathrm{[Bac]} \cdot \left(\mathrm{[Bac]} - \mathrm{Bacmax\_native\_svp}\right) \cdot \left(\mathrm{beta\_native\_svp} - \mathrm{[Ind]} \cdot \mathrm{ki\_native\_svp}\right)}{\mathrm{Bacmax\_native\_svp}} $$ $$\mathrm{d}\mathrm{[Glu]}/\mathrm{d}t = - \mathrm{[Bac]} \cdot \mathrm{[Glu]} \cdot \mathrm{ksyn\_native\_svp} $$ $$\mathrm{d}\mathrm{[cGlu]}/\mathrm{d}t = - \mathrm{kdim\_native\_svp} \cdot {\mathrm{[cGlu]}}^2 - \mathrm{kdegg\_native\_svp} \cdot \mathrm{[cGlu]} + \mathrm{[Bac]} \cdot \mathrm{[Glu]} \cdot \mathrm{ksyn\_native\_svp} $$ $$\mathrm{d}\mathrm{[Ind]}/\mathrm{d}t = {\mathrm{[cGlu]}}^2 \cdot \mathrm{kdim\_native\_svp} - \mathrm{[Ind]} \cdot \mathrm{kdegi\_native\_svp} $$
Results 1
Results 1.
Discussion
Discussion.