Difference between revisions of "Team:NCKU Tainan/test formula"

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Revision as of 11:51, 30 October 2017

MathJax AsciiMath Test Page

Model

Abstract


In order to combine our sensing device and synthetic biotechnology. First of all, we have to build a theoretical model (for our promoter PyeaR) to describe the whole reaction and mechanism. Then, we use simbiology to simulate the whole reaction. Next, to find out each substance varied with time. Afterward, using approximate method to choose a good model fitting GFP fluorescence variation curve. Furthermore, to help our sensing detection, we use nonlinear regression and calibration to build a statistical model. Last but not least, creating new method to analysis sensing data by our empirical model (constructed by more than 150 experiments’ data) , which can distinguish 5 interval of nitrate concentration.

There are Nap and NirK enzymes that can catalyze NO3- to NO2- and NO2- to NO separately in our E. coli system. After paper searching, we found that the promotor’s activity is controlled two gene, which represent two binding sites. One is NarL, the other is NsrR. NarL can senses nitrate and nitrite, promoting PyeaR produce GFP further. NsrR has the ability to repress whole reaction except when nitric oxide come to the biding site. Repression become weak, and the block to GFP generation is gone.

Equations of Our Sensing Pathway Model


NO3- will be consumed in two ways , one is turning into NO2- by Nap enzyme , and the other becomes mRNA of GFP by NarL.

The rate of [NO3-] can be expressed by:

d[NO3-]dt=-VmaxNap×[NO3-]KmNap+[NO3-]-kfNO3-×[NO3-

NO2- can be produced by Nap enzyme , and will be consumed by NarL and NirK enzyme to become mRNA of GFP and NO.

The rate of [NO2-] can be expressed by: