Team:XMU-China/Project Modelling Intracellularmodel

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     <span style="font-family:Arial;font-size:16px;">With above two equations, the relation between stimuli and intracellular is built. With certain concentration of IPTG and L-arabinose, the concentration of </span><span style="font-family:Arial;font-size:16px;">c</span><span style="font-family:Arial;font-size:16px;">heZ (Z</span><span style="font-family:Arial;font-size:16px;valign:sub;">T</span><span style="font-family:Arial;font-size:16px;">) will get for the following modeling.</span>
     <span style="font-family:Arial;font-size:16px;">With above two equations, the relation between stimuli and intracellular is built. With certain concentration of IPTG and L-arabinose, the concentration of </span><span style="font-family:Arial;font-size:16px;">c</span><span style="font-family:Arial;font-size:16px;">heZ (Z</span><span style="font-family:Arial;font-size:16px;valign:sub;">T</span><span style="font-family:Arial;font-size:16px;">) will get for the following modeling.</span>
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<p>Want to see more modellings: <a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_sdmodel" target="_blank">Macroscopic Stimulus Diffusion Model</a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_sdmodel" target="_blank">, <a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_mmmodel" target="_blank">Microscopic Motion Model</a href="https://2014.igem.org/Team:XMU-China/Project_Modelling_mmmodel" target="_blank">.</p>
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Latest revision as of 03:27, 18 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]:

dC dt = α C 1+ ( L/ β L ) m 1 − γ C ⋅C 

(a)

dL dt = α L 1+ ( I/ β I ) m 2 + α L ⋅ A m 3 A m 3 + δ A m 3 − γ L ⋅L

 

(b)

 

Parameters:

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

β----- repression coefficient( β L ,  β I )

γ----- protein decay( γ C ,  γ L )

δ-----activation coefficient( δ A )      

m----- transcription factor cooperativity ( m 1 ,  m 2 ,  m 3 )    

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.


Want to see more modellings: Macroscopic Stimulus Diffusion Model, Microscopic Motion Model.



References

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

2.Basu S, Gerchman Y, Collins C H, et al. A synthetic multicellular system for programmed pattern formation. Nature, 2005, 434: 1130-1134.



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