Team:NCTU Formosa/modeling

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Modeling

Modeling was our first step forward. When validated with our experimental data, modeling is also a verification of the accuracy of our experiments.

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MATLAB (matrix laboratory) is a numerical computing environment and fourth-generation programming language. It is developed by MathWorks, a company in United States. MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages, including C, C++, Java, and Fortran. Although MATLAB is intended primarily for numerical computing, an optional toolbox uses the MuPAD symbolic engine, allowing access to symbolic computing capabilities. An additional package, Simulink, adds graphical multi-domain simulation and Model-Based Design for dynamic and embedded systems.

ANFIS Introduction

Adaptive-Network-Based Fuzzy Inference System, in short ANFIS, is a power tool for constructing a set of fuzzy if-then rules to generate stipulated output and input pairs. Unlike system modeling using mathematical rules that lacks the ability to deal with ill-defined and uncertain system, ANFIS can transform human knowledge into rule base, and therefore, ANFIS can effectively tune membership functions, minimizing the output error.

Light-regulated System

Red Promoter

Temperature-regulated system

Figure 1. Input 1= Time (hr), Input 2= Temperature (degree Celsius), Output = Normalized expression (AU).

From Figure 1, the maximum output is obtained at 37 ^oC. Under the same time frame, the output (the normalized expression of the reporter gene) is maximized at 37 ^oC while minimized at 25 ^oC. There is a dramatic decrease in the output near 30 ^o and the outputs around 37^oC are much higher. This modeling demonstrates that using 37 ^oC RBS is a plausible approach for achieving gene expression through temperature.

Small RNA-regulated System

Plux efficiency

We searched the biobrick like Figure 2 and got the data from Imperial 2007 iGEM team. The data is about P_lux under different concentration of AHL and different time.

Figure 2. the biobrick to test expression of the lux promoter

Using ANFIS to train 76 sets of data and test 20 sets of data, we got the output Figure 3 and it showed the testing data could match the training data.

Figure 3. The training and testing data using ANFIS system

The Figure 4 is the result graph from input 1(time) and input 2(AHL concentration). According this graph, we can observe the fluorescence has two peaks about AHL concentration(at concentration of 4 nM and 40 nM). That means we could achieve our regulation goal with little AHL.

Figure 4. Input 1 is time(min), input 2 is AHL concentration and output is fluorescence.

Reference

iGEM 2007 Imperial https://2007.igem.org/Imperial

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 ===Temperature-regulated system===
-[[File:Nctu_37rbs_biobricktest.jpg|300px|center|Figure. ]]
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-[[File:37rbs_model.jpg|center|400px|Figure 1. Input 1= Time (hr), Input 2= Temperature (degree Celsius), Output = Normalized expression (AU).]]
+[[File:37rbs_model.jpg|center|500px|Figure 1. Input 1= Time (hr), Input 2= Temperature (degree Celsius), Output = Normalized expression (AU).]]