Team:Paris/Analysis/Construction2

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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]