Team:Edinburgh UG/TestPage

When $a \ne 0$, there are two solutions to \(ax^2 + bx + c = 0\) and they are $$x = {-b \pm \sqrt{b^2-4ac} \over 2a}.\leftrightarrow$$

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List of chemical species:

Symbol	Description
$O_{T7}$	T7 polymerase gene, controlled by LacO operon

Constant	Value	Unit	Description
$$k_{sMR}$$	$$24.67^{*}$$	$$nM min^{-1}$$	Transcription rate of LacI-mRNA, constitutive promoter
$$\lambda_{MR}$$	$$0.462$$	$$min^{-1}$$	Degradation rate of LacI-mRNA
$$k_{sR}$$	$$15$$	$$min^{-1}$$	Translation rate of LacI protein
$$\lambda_{R}$$	$$0.2$$	$$min^{-1}$$	Degradation rate of LacI protein
$$k_{2R}$$	$$50$$	$$nM^{-1} min^{-1}$$	Dimerization rate of LacI monomer
$$k_{-2R}$$	$$10^{-3}$$	$$min^{-1}$$	Dissociation rate of LacI dimer
$$k_{rT7}$$	$$960$$	$$nM^{-1} min^{-1}$$	Binding constant, LacI dimer and T7 LacO
$$k_{-rT7}$$	$$2.4$$	$$min^{-1}$$	Unbinding constant, LacI dimer and T7 LacO
$$\lambda_{R2}$$	$$0.2$$	$$min^{-1}$$	Degradation rate of LacI dimer
$$k_{dr1}$$	$$3\times10^{-7}$$	$$nM^{-2}min^{-1}$$	Rate constant of forming IPTG-LacI dimer
$$k_{-dr1}$$	$$12$$	$$min^{-1}$$	Rate constant of dissociating IPTG-LacI dimer
$$k_{dr2}$$	$$3\times10^{-7}$$	$$nM^{-2}min^{-1}$$	Rate constant, IPTG displacing LacI dimer from the T7 LacO
$$k_{-dr2}$$	$$4.8\times10^3$$	$$min^{-1}$$	Rate constant, IPTG-LacI binding to empty T7 LacO, releasing two IPTG molecules
$$k_{rCre}$$	$$960$$	$$nM^{-1}min^{-1}$$	Binding constant, LacI dimer and Cre LacO
$$k_{-rCre}$$	$$2.4$$	$$min^{-1}$$	Unbinding constant, LacI dimer and Cre LacO
$$k_{dr3}$$	$$3\times10^{-7}$$	$$nM^{-2}min^{-1}$$	Rate constant, IPTG displacing LacI dimer from the Cre LacO
$$k_{-dr3}$$	$$4.8\times10^3$$	$$min^{-1}$$	Rate constant, IPTG-LacI binding to empty Cre LacO, releasing two IPTG molecules
$$\lambda_{I2R2}$$	$$0.2$$	$$min^{-1}$$	Degradation rate of $IPTG_2-LacI_2$
$$k_{s0MT7}$$	$$0.01$$	$$min^{-1}$$	Leaky transcription rate of T7 mRNA (LacI bound)
$$k_{s1MT7}$$	$$0.5$$	$$min^{-1}$$	Transcription rate of T7 mRNA (empty LacO)
$$\lambda_{MT}$$	$$0.462$$	$$min^{-1}$$	Degradation rate of T7 mRNA
$$k_{sT7}$$	$$30$$	$$min^{-1}$$	Translation rate of T7 protein
$$\lambda_{T7}$$	$$0.2$$	$$min^{-1}$$	Degradation rate of T7 protein
$$k_{s0MCre}$$	$$0.01$$	$$min^{-1}$$	Leaky transcription rate of Cre mRNA (LacI bound)
$$k_{s1MCre}$$	$$0.5$$	$$min^{-1}$$	Transcription rate of Cre mRNA (empty LacO)
$$\lambda_{MCre}$$	$$0.462$$	$$min^{-1}$$	Degradation rate of Cre mRNA
$$k_{sCre}$$	$$30$$	$$min^{-1}$$	Translation rate of Cre protein
$$\lambda_{Cre}$$	$$0.2$$	$$min^{-1}$$	Degradation rate of Cre protein

[[File:ETHZ_LuxParameterFitting.png|center|500 px|thumb|'''Figure 1''' Lux QS Module fitted to experimental data from riboregulated Lux system.]] \[a \mathrel{\mathop{\rightleftarrows}^{\mathrm{over}}_{\mathrm{under}}} b\]