Team:NUDT CHINA/Modeling
From 2014.igem.org
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Here, we donate:</p><p> | Here, we donate:</p><p> | ||
<ul> | <ul> | ||
- | <li>the concentration of promoter binding sites in unit <i>i</i> is < | + | <li>the concentration of promoter binding sites in unit <i>i</i> is <img src="https://static.igem.org/mediawiki/2014/d/d8/NUDT_CHINA_modeling_equation_di.png" />;</li> |
<li>the concentration of upstream promoter protein in unit <i>i</i> is <math>P_i(t)</math>;</li> | <li>the concentration of upstream promoter protein in unit <i>i</i> is <math>P_i(t)</math>;</li> | ||
<li>the concentration of mrna in unit <i>i</i> is <math>R_i(t)</math>;</li> | <li>the concentration of mrna in unit <i>i</i> is <math>R_i(t)</math>;</li> |
Revision as of 12:52, 17 October 2014
Fig. 1 Cascade Regulatory Framework Fig. 2 Cascade Regulatory Pathway in DNA According the cascade regulatory framework (Fig. 1) to solve the shortest path problem, we can build the cascade regulatory path in the plasmid of E. coli (Fig. 2). Now, we divide the whole cascade regulatory pathway into five units, which share same structures and similar properties (Fig. 3). Every unit can perform three common behaviours, i.e. promotion, transcription and translation. Usually, we can combine the process of promotion and translation when building and calculating the mathematic model of cascade regulatory. After combination, it is reasonable to assume that the transcriptional rate is in direct proportion to the extent of promotion. So we now get five easier units which can achieve two separated functions: promotion & transcription and translation. The logic of the cascade regulation is:
In addition, we need to take the temporal degradation of mRNA and protein into account.
I. Analyses of Cascade Regulatory PathwayHere, we donate:
where i=1,2,3,4,5. (See Fig. 3) Fig. 3 Five Units of the Cascade Regulatory Pathway and the Statement of Symbols III. Mathematic Model |