Registry of Standard Biological Models/Basic Component Models/Repressed Promoter RBS Coupled

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Repressed Promoter RBS Coupled Architecture

  • Description: Promoter coupled to RBS to provide a synthesis rate of protein depending on the amount of repressor
  • Hypothesis:
    • Constant and continuous transcription and translation rate
    • Maximum synthesis rate depends on number of gene copies
    • quasi steady state approx on mRNA
    • unlimited resources for transcription and translation (excess in polymerase ...)
    • Binding of the repressor on the promoter (Hill-function-type equation)
  • Inputs:
    • repressor
    • nb-gene-copies
  • Outputs:
    • Synthesis rate
  • Characteristic parameters:
    • maxK (max-transcription-rate-per-gene)
    • Kd (dissociation-constant)
    • n (Hill-coefficient)
Repressed Promoter/RBS Brick Architecture

CellML structure (CellML 1.1 spec)

  • Component: RepressedPromoterRBSCoupled
  • Units:
    • Imported from Environment component
  • Variables:
    • nb-gene-copies (public interface = in / init value = 1.0)
    • maxSynthesisRate (public interface = none / init value = XXX)
    • Kd (dissociation constant) (public interface = none / init value = XXX)
    • n (Hill Coefficient) (public interface = none / init value = XXX)
    • synthesisRate (public interface = out / init value = XXX)
    • repressor (public interface = in )
  • MathML
    • <amsmath>synthesisRate = \frac{nbGeneCopies*maxSynthesisRate}{K_d^{n}+[repressor]^{n}} </amsmath>

CellML File

<syntax type='xml'>

<?xml version="1.0"?>

<model xmlns=""


<component name="promoter-RBS_repressed">

<variable name="synthesisRate" initial_value="" public_interface="out" units="moles_per_second"/> <variable name="nb_gene" initial_value="1" public_interface="none" units="dimensionless"/> <variable name="synthesisRatePerGene" initial_value="1" public_interface="none" units="moles_per_second"/> <variable name="repressorConcentration" initial_value="0" public_interface="in" units="mole"/> <variable name="dissociation_constant" initial_value="1" public_interface="none" units="dimensionless"/> <variable name="hill_coefficient" initial_value="2" public_interface="none" units="dimensionless"/>

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "":): {\displaystyle <apply id="synthesisRate"> <eq/> <ci>synthesisRate</ci> <apply> <divide/> <apply> <times/> <ci>nb_gene</ci> <ci>synthesisRatePerGene</ci> </apply> <apply> <plus/> <apply> <power/> <ci>dissociation_constant</ci> <ci>hill_coefficient</ci> </apply> <apply> <power/> <ci>repressorConcentration</ci> <ci>hill_coefficient</ci> </apply> </apply> </apply> </apply> }


<import xmlns:xlink=""

     <units name="moles_per_second" units_ref="moles_per_second"/>
     <units name="per_second"       units_ref="per_second"/>





  • This component is simply a container providing the synthesis rate specific to a constitutive promoter coupled to a RBS and a given level of the repressor
  • To characterize this part you need to get {maxSynthesisRate} and {sensitivity}. It can be achieved experimentally using a quantitative GFP assay. Measurement of GFP levels should be done at steady state with different levels of the repressor.