Team:Bologna/Modeling
From 2009.igem.org
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[[Image:Differentialequations3.jpg|940px|thumb| Figure 3. Differential Equations]] | [[Image:Differentialequations3.jpg|940px|thumb| Figure 3. Differential Equations]] | ||
[[Image:Transequations2.jpg|center||540px|thumb| Figure 4. Differential Equations]] | [[Image:Transequations2.jpg|center||540px|thumb| Figure 4. Differential Equations]] | ||
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|[[Image:Constants3.jpg|center|550px|thumb|Figure 5: Equilibrium Constants]] | |[[Image:Constants3.jpg|center|550px|thumb|Figure 5: Equilibrium Constants]] | ||
|[[Image:Algebricalconstrain2.jpg|center|650px|thumb|Figure 6: Algebraic Constrains]] | |[[Image:Algebricalconstrain2.jpg|center|650px|thumb|Figure 6: Algebraic Constrains]] | ||
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+ | [[Image:constantsvalue.jpg|center|800px|thumb|Table 2. Model parameters; Value of parameter was taken from the literature or obtained from experimantal data]] | ||
=Simulations= | =Simulations= |
Revision as of 02:27, 22 October 2009
HOME | TEAM | PROJECT | SOFTWARE | MODELING | WET LAB | PARTS | HUMAN PRACTICE | JUDGING CRITERIA |
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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.