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	| d<sub>R</sub>		| d<sub>R</sub>
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	| degradation of lacI		| degradation of lacI
		+	| Ref. [4]
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	| d<sub>S</sub>		| d<sub>S</sub>

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Revision as of 20:31, 11 September 2007

Contents 1 Basic Model 1.1 Constitutively produced proteins 1.2 Learning system 1.3 Reporter system 2 System Equations 2.1 Constitutively produced proteins 2.2 Learning system 2.3 Reporter system 2.4 Allosteric regulation 3 Model Parameters 4 References 5 Variable Mapping

Basic Model

Constitutively produced proteins

Learning system

Reporter system

System Equations

Constitutively produced proteins

Learning system

Reporter system

Allosteric regulation

Model Parameters

Parameter	Value	Description	Comments
aR		basic production of lacI
aS		basic production of tetR
aL		basic production of luxR
aQ1		basic production of cI
aQ2		basic production of p22cII
aGFP		basic production of GFP
aRFP		basic production of RFP
dR	0.06	degradation of lacI	Ref. [4]
dS		degradation of tetR
dL		degradation of luxR
dQ1		degradation of cI
dQ2		degradation of p22cII
dGFP		degradation of GFP
dRFP		degradation of RFP
kR	0.22 [mM/h]	promoter strength (Promoter R0010)
kS		promoter strength (Promoter R0040)
kL		promoter strength (Promoter R0062)
kQ1	0.20 [mM/h]	promoter strength (Promoter R0051)
kQ2		promoter strength (Promoter R0053)
KR	1.3e-3 - 2e-3 [mM/h]	lacI repressor dissociation constant	lower value is from Ref. [2], higher value is from Ref. [?]
KIR	1.5e-10 [mM/h]	IPTG-lacI repressor dissociation constant
KS		tetR repressor dissociation constant
KIS		aTc-tetR repressor dissociation constant
KL		luxR activator dissociation constant
KIL		AHL-luxR activator dissociation constant
KQ1	2e-3 [mM/h]	cI repressor dissociation constant
KQ2		p22cII repressor dissociation constant
nR	1	lacI repressor Hill cooperativity
nIR	2	IPTG-lacI repressor Hill cooperativity
nS	3	tetR repressor Hill cooperativity	Ref. [3]
nIS		aTc-tetR repressor Hill cooperativity
nL	1	luxR activator Hill cooperativity	Ref. [3]
nIL	1	AHL-luxR activator Hill cooperativity	Ref. [3]
nQ1	1.9	cI repressor Hill cooperativity
nQ2		p22cII repressor Hill cooperativity

References

1. A synthetic time-delay circuit in mammalian cells and mice (http://www.pnas.org/cgi/content/abstract/104/8/2643)
2. Detailed map of a cis-regulatory input function (http://www.pnas.org/cgi/content/full/100/13/7702?ck=nck)
3. Parameter Estimation for two synthetic gene networks (http://ieeexplore.ieee.org/iel5/9711/30654/01416417.pdf)

Variable Mapping

Variable	Compound
R	lacI
IR	IPTG
S	tetR
IS	aTc
L	luxR
IL	AHL
Q1	cI
Q2	p22cII