Team:Paris/Analysis/Construction2

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Revision as of 20:49, 25 October 2008

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	α_cell	Growth rate	0.0198	1	min^-1	wet-lab
	c_max	Carrying capacity for cell growth	0.1	0.1	µm³	[3]
	D_renewal	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	γ_HSL	Degradation rate	0.0053	0.2690	min^-1	wet-lab
	γ_{HSL_ext}	Degradation rate	0.0106	0.5380	min^-1	[6]
	β_HSL	Production rate	0.3168	16	min^-1	∅
	η	Diffusion rate	10	505	min^-1	[2]
	n_HSL	Hill coefficient		4		[3]
	θ_HSL	Hill characteristic concentration for the second operator		0.5	c.u	[3]

@@ Line 16: / Line 16: @@
 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