Team:Paris/Analysis/Construction2
From 2008.igem.org
Model Construction
why use a chemostat
which model of chemostat we choose
equations
d[c]/dt=alpha_cell*[c]*(c_max-[c])/c_max-(D_renewal+death)*[c] d[LasI]/dt=beta_FlhDC*theta_FlhDC^n_FlhDC/(theta_FlhDC^n_FlhDC+[TetR]^n_FlhDC)-gamma*[LasI] d[TetR]/dt=beta_TetR*[HSL]^n_TetR/(theta_TetR^n_TetR+[HSL]^n_TetR)-gamma*[TetR] d[HSL::ext]/dt=eta*v_cell*[c]*([HSL]-[HSL::ext])-(D_renewal+gamma_HSLext)*[HSL::ext] d[HSL]/dt=beta_HSL*[LasI]+eta*[HSL::ext]-(gamma+gamma_HSLint+eta)*[HSL]
parameters
manly from literature but also from S0 analysis.
Parameters | |||||||
---|---|---|---|---|---|---|---|
Chemostat | Parameter | Meaning | Original Value | Normalized Value | Unit | Source | |
figure / equations of Chemostat | αcell | Growth rate | 0.0198 | 1 | min-1 | wet-lab | |
cmax | Carrying capacity for cell growth | 0.1 | 0.1 | µm3 | [3] | ||
Drenewal | Dilution rate | 0.00198 | 0.1 | min-1 | wet-lab ([3]) | ||
d | Death rate | 0.0099 | 0.5 | min-1 | wet-lab | ||
Quorum Sensing | Parameter | Meaning | Original Value | Normalized Value | Unit | Source | |
figure / equations of Quorum Sensing | γHSL | Degradation rate | 0.0053 | 0.2690 | min-1 | wet-lab | |
γHSLext | Degradation rate | 0.0106 | 0.5380 | min-1 | [6] | ||
βHSL | Production rate | 0.3168 | 16 | min-1 | ∅ | ||
η | Diffusion rate | 10 | 505 | min-1 | [2] | ||
nHSL | Hill coefficient | 4 | [3] | ||||
θHSL | Hill characteristic concentration for the second operator | 0.5 | c.u | [3] |