Team:XMU-China/Project Modelling Intracellularmodel

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     <span style="font-family:Arial;font-weight:700;font-size:29px;">INTRACELLULAR MODEL</span>
     <span style="font-family:Arial;font-weight:700;font-size:29px;">INTRACELLULAR MODEL</span>
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     <span style="font-family:Arial;font-size:16px;">Parameters: </span>
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     <span style="font-family:Arial;font-size:16px;">Parameters: </span>
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     <span style="font-family:Arial;font-size:16px;">α</span><span style="font-family:Arial;font-size:16px;">----- protein synthesis rate</span><span style="font-family:Arial;font-size:16px;">(<m:math>
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    <span style="font-family:Arial;font-size:16px;">β</span><span style="font-family:Arial;font-size:16px;">----- repression coefficient</span><span style="font-family:Arial;font-size:16px;">(</span><span style="font-family:Arial;font-size:16px;">)</span>
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    <span style="font-family:Arial;font-size:16px;">γ</span><span style="font-family:Arial;font-size:16px;">----- protein decay</span><span style="font-family:Arial;font-size:16px;">()</span>
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     <span style="font-family:Arial;font-size:16px;">α</span><span style="font-family:Arial;font-size:16px;">----- protein synthesis rate (</span><img src="http://convert.wenku.baidu.com/rtcs/math?md5sum=f35f275bd4fdd4a548101ebe758a579f.docx&math=4b3c46046f10a4ed1debae33ed33504d"/><span style="font-family:Arial;font-size:16px;">)</span><span style="font-family:Arial;font-size:16px;"></span><span style="font-family:Arial;font-size:16px;">β</span><span style="font-family:Arial;font-size:16px;">----- repression coefficient (</span><img src="http://convert.wenku.baidu.com/rtcs/math?md5sum=f35f275bd4fdd4a548101ebe758a579f.docx&math=395f6cb02f6274e44d2505334ca16c1d"/><span style="font-family:Arial;font-size:16px;">)</span><span style="font-family:Arial;font-size:16px;"></span><span style="font-family:Arial;font-size:16px;">γ</span><span style="font-family:Arial;font-size:16px;">----- protein decay (</span><img src="http://convert.wenku.baidu.com/rtcs/math?md5sum=f35f275bd4fdd4a548101ebe758a579f.docx&math=689f74b47bc8474685eb70609df4e15b"/><span style="font-family:Arial;font-size:16px;">)</span><span style="font-family:Arial;font-size:16px;"></span><span style="font-family:Arial;font-size:16px;">δ</span><span style="font-family:Arial;font-size:16px;">-----activation coefficient (</span><img src="http://convert.wenku.baidu.com/rtcs/math?md5sum=f35f275bd4fdd4a548101ebe758a579f.docx&math=c04c6fc65e90304e1f007281117141cf"/><span style="font-family:Arial;font-size:16px;">)</span>
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     <span style="font-family:Arial;font-size:16px;">δ</span><span style="font-family:Arial;font-size:16px;">-----activation </span><span style="font-family:Arial;font-size:16px;">coefficient</span><span style="font-family:Arial;font-size:16px;">()</span><span style="font-family:Arial;font-size:16px;"> </span><span style="font-family:Arial;font-size:16px;"> &nbsp; &nbsp; &nbsp;</span>
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     <span style="font-family:Arial;font-size:16px;">m----- transcription factor cooperativity (</span><img src="http://convert.wenku.baidu.com/rtcs/math?md5sum=f35f275bd4fdd4a548101ebe758a579f.docx&math=99b32c6207e43229a6c7386edfcb0a53"/><span style="font-family:Arial;font-size:16px;">)</span>
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     <span style="font-family:Arial;font-size:16px;">m----- transcription factor cooperativity ()</span><span style="font-family:Arial;font-size:16px;"> &nbsp; &nbsp;</span>
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Revision as of 17:36, 17 October 2014

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INTRACELLULAR MODEL


The following functions are based on ordinary differential equations with Hill functions that captured the activation and repression of protein synthesis.

The intracellular species included cheZ (C or ZT), LacI (L), L-ara (A), IPTG (I).

Equations as follows[1], [2]:

Parameters:

α----- protein synthesis rate( α C ,  α L )

β----- repression coefficient()

γ----- protein decay()

δ-----activation coefficient()      

m----- transcription factor cooperativity ()    

With above two equations, the relation between stimuli and intracellular is built. With certain concentration of IPTG and L-arabinose, the concentration of cheZ (ZT) will get for the following modeling.


References

1. Song, K. Introduction to Synthetic Biology. Science Press.

2. Liu, C., Fu, X., Liu, L., Ren, X., Chau, C.K.L., Li, S., Xiang, L., Zeng, H., Chen, G.,Tang, L.H., et al. (2011). Sequential establishment of stripe patterns in an expanding cell population. Science 334, 238–241.



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