Modeling > ODE
Catagories of Equations
Writing the ODEs is the first step of constructing the deterministic model. For practice, we first catagorized all the reactions appeared in our design into four types - Transcription, Translation, Degradation and AND Gate Model. In this section, we will demonstrate equations for each type, which will let you be more familiar with our model.
The equation used to describe the transcription process is Hill's equations, which is well-known in biomodeling. Here's the general formula.
<math>\frac{\mathrm{d}[mRNA]}{\mathrm{d}t}=k(\frac{(\frac{[A]}{K})^n}{1+(\frac{[A]}{K})^n})</math>
[mRNA] is the product of transcription, i.e. mRNA of the protein. d[mRNA]/dt
AND Gate 1
Bistable
AND Gate 2
Output
Full Model
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