User:Renan A. Escalante-Chong/Notebook

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My projects

Summer course Systems Biology (August 2009)

Rotation at the Megason Lab (starting 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)