Tianjin/FLIP-FLOP

From 2007.igem.org

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==Modeling==
==Modeling==
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The Mathematical model is maily based on Ordinary Differential Equation.
 
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and the assumption that GFP protein could degrade in a short period instead of accumulating as the actual wet experiment showed.
 
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<font size="3" color="#0000CC">1.</font>[[Tianjin/FLIP-FLOP/model1|<font size="3" color="#0000CC">Construction of Mathematical Model</font>]]
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Based on Ordinary Differential Equations, we construct the Mathematical Model of our flip-flop
 +
system to test the result of our design and predict potential key factors deciding the results
 +
of our experiment. According to the model,the variation of output signal responding to the input signal matches the typical
 +
feature of flip-flop,there would no output signal only at the positive edge and negative edge of the input signal. The influence of
 +
signal strength to the output signal is also considered. By changing the degradation speed of AHL, the fluoresence intensity
 +
exhibit different behaviour which could be explained by principles of flip-flop. Finally, the parameter sensitivity is also tested to
 +
explore most significant parameter to output signals and it is discovered that the strength of promoter I, which controls the production of LuxI, the
 +
promoter II, which controls the expression of LuxR, exert great effect on the final results
 +
<font size="3" color="#0000CC">1. </font>[[Tianjin/FLIP-FLOP/model1|<font size="3" color="#0000CC">Construction of Mathematical Model</font>]]
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<font size="3" color="#0000CC">2.<font size="3" color="#0000CC">Model Result</font>
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<font size="3" color="#0000CC">2. <font size="3" color="#0000CC">Model Result</font>
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<br><br>
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<font size="3" color="#0000CC">2.1<font>[[Tianjin/FLIP-FLOP/Model11|<font size="3" color="#0000CC">Model of the whole system</font>]]
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<font size="3" color="#0000CC">2.1 <font>[[Tianjin/FLIP-FLOP/Model11|<font size="3" color="#0000CC">Model of the whole system</font>]]
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<br>
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<br><br>
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<font size="3" color="#0000CC">2.2<font>[[Tianjin/FLIP-FLOP/Model2|<font size="3" color="#0000CC">Change the degradation speed of AHL</font>]]
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<font size="3" color="#0000CC">2.2 <font>[[Tianjin/FLIP-FLOP/Model2|<font size="3" color="#0000CC">Change the degradation speed of AHL</font>]]
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<br><br>
<font size="3" color="#0000CC">2.3<font>[[Tianjin/FLIP-FLOP/Model3|<font size="3" color="#0000CC">parameter sensitivity</font>]]
<font size="3" color="#0000CC">2.3<font>[[Tianjin/FLIP-FLOP/Model3|<font size="3" color="#0000CC">parameter sensitivity</font>]]
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Revision as of 04:23, 26 October 2007

Design

"Flip-flop" is the common name given to two-state devices which offer basic memory for sequential logic operations. Flip-flops are widely used for digital data storage and transfer as well as in banks called "registers" for the storage of binary numerical data. Based on the conception of "Flip-flop" and synthetic biology, we designed the Genetically RS FLIP-FLOP whose output signal is regulated by additional input signal. Besides this, we modulate the performance of Genetically RS FLIP-FLOP to optimize our original design.

1.Introduction to the logic rules of our flip-flop

TJUzmlrules.jpg
The logic principle of our design is shown above. Unless the input signal transfer from one stable condition to another ( such as 0 to 1 or 1 to 0), the output signal would change into 1, otherwise it would maintain 0. Thus, the immediate response to emergency (input change) enables our design to detect signal variation in a short time, which is beneficial for process control because of its time-saving character.


2.Construction of Biological Circuit

Flip-Flop.gif

Modeling

Based on Ordinary Differential Equations, we construct the Mathematical Model of our flip-flop system to test the result of our design and predict potential key factors deciding the results of our experiment. According to the model,the variation of output signal responding to the input signal matches the typical feature of flip-flop,there would no output signal only at the positive edge and negative edge of the input signal. The influence of signal strength to the output signal is also considered. By changing the degradation speed of AHL, the fluoresence intensity exhibit different behaviour which could be explained by principles of flip-flop. Finally, the parameter sensitivity is also tested to explore most significant parameter to output signals and it is discovered that the strength of promoter I, which controls the production of LuxI, the promoter II, which controls the expression of LuxR, exert great effect on the final results 1. Construction of Mathematical Model

2. Model Result

2.1 Model of the whole system

2.2 Change the degradation speed of AHL

2.3parameter sensitivity

Experiment

1.Tianjin/FLIP-FLOP/Experiment/parts|Ligation Strategy and Parts Reservoir

TJUzmlligation.jpg

1.Experiment Result

Tjuexpff201.jpg Tjuexpff202.jpg Tjuexpff203.jpg

Tjuexpff204.jpg Tjuexpff205.jpg Tjuexpff206.jpg