Team:Bologna/Modeling
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[[Image:Modello1.png|center|940px||thumb|Figure 1: GFP transcription and GFP translation (left); LacI transcription, LacI translation and LacI dimerization (right) ]]<br> | [[Image:Modello1.png|center|940px||thumb|Figure 1: GFP transcription and GFP translation (left); LacI transcription, LacI translation and LacI dimerization (right) ]]<br> | ||
[[Image:Pag3.jpg|center|600px||thumb|Figure 2: Other Chemical Reactions]] | [[Image:Pag3.jpg|center|600px||thumb|Figure 2: Other Chemical Reactions]] | ||
- | [[]] | + | [[Image:Differentialequations3.jpg|940px||thumb| Figure 3. Differntial Equations]] |
- | [[Image:Constants2.jpg|center|900px||thumb|Figure | + | [[Image:Constants2.jpg|center|900px||thumb|Figure 4: Equilibrium Constants]] |
- | [[Image:Algebricalconstrain2.jpg|center|650px||thumb|Figure | + | [[Image:Algebricalconstrain2.jpg|center|650px||thumb|Figure 5: Algebraic Constrains]] |
Revision as of 23:08, 21 October 2009
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A. Einstein
In order to test and characterize our T-REX device, we developed the following genetic circuit (Fig. 1):
Mathematical Model
The mathematical model is based on the law of mass action, and the processes involved in gene expression, that is transcription and translation, are considered similar to enzymathic reactions.
In this context, RNA polymerase and ribosome perform enzymes' role, while gene promoter and RBS sequence act as substrates.
The interaction between enzyme and substrate leads to the formation of a complex, yielding to the final product: mRNA for the RNA polymerase - promoter complex and ribosome - RBS sequence complex.
Here below are shown all the reactions occurring the circuit (Fig. 1).