User:Renan A. Escalante-Chong/Notebook

My projects

This is a list of the projects in my notebook

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)

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