Team:Bologna/Modeling
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A. Einstein
Contents |
Introduction
We developed a mathematical model to simulate the response of the testing circuit (Fig. 1).
Mathematical Model
Transcription and translation processes are considered similar to a second order kinetics like an enzymatic reaction: RNA polymerase and ribosome perform enzymes' role, while gene promoter and RBS sequence act as substrates. The binding between enzyme and substrate leads to the formation of a complex, yielding to the final product: mRNA for the polymerase-promoter complex and protein for the ribosome-RBS complex.
Reactions
All the biochemical reactions occurring in the testing circuit are listed in Fig. 1, Fig. 2 and Fig. 2
Symbol definitions are listed in Table 1
Differential Equations
The differential equations describing the above biochemical reaction are obtained appling the law of mass action.
Simulations
To simulate the model we implemented the equation in Simulink (Figure 3 and Figure 4).
Results of model simulation are shown in the wet lab parts characterization.