Team:XMU-China/Project Modelling Intracellularmodel

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(${\text{α}}_{\text{C}},{\text{ α}}_{\text{L}}$)

β----- repression coefficient(${\text{β}}_{\text{L}},{\text{ β}}_{\text{I}}$ )

γ----- protein decay(${\text{γ}}_{\text{C}},{\text{ γ}}_{\text{L}}$)

δ-----activation coefficient(${\text{δ}}_{\text{A}}$)      

m----- transcription factor cooperativity (${\text{m}}_1,{\text{ m}}_2,{\text{ m}}_3$)    

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.

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.