Summer course Systems Biology (August 2009): Difference between revisions
(New page: ==Systems Biology Boot Camp 2009== '''Modeling mRNA transcription''' Multiply terms on the back arrow to write an ODE If there is not a mathematical software available then it is possib...) |
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Revision as of 11:48, 3 September 2009
Systems Biology Boot Camp 2009
Modeling mRNA transcription
Multiply terms on the back arrow to write an ODE
If there is not a mathematical software available then it is possible to obtain data points but this technique is limited by the step size:
- if the step size is too small the computer might round it up to zero. - if the step size is too big we lose resolution.
[math]\displaystyle{
\frac{dmRNA}{dt}=+\alpha - \beta \cdot mRNA
}[/math]
To add more equations in the system Matlab only takes column arrays
Equation with mRNA and protein
[math]\displaystyle{ \frac{dmRNA}{dt}=+\alpha_m - \beta_m \cdot mRNA }[/math]
[math]\displaystyle{ \frac{dProtein}{dt}=+\alpha_p \cdot mRNA - \beta_p \cdot Protein }[/math]
Parameter fitting
Least squares
Residuals
In Matlab there are tools to fit parameters like fmin search or cftool (courved fit tool)