Team:Michigan/Project/Modeling/Model2.html

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While Model 1 gave us some important results (mainly: need a low Kd for oscillations to occur) , we decided to look at more complete model that accounted for some of the dimerizations the proteins undergo:
While Model 1 gave us some important results (mainly: need a low Kd for oscillations to occur) , we decided to look at more complete model that accounted for some of the dimerizations the proteins undergo:
<div align='center'> [[Image: Model2Equations.png]]</div>
<div align='center'> [[Image: Model2Equations.png]]</div>
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Parameters/functions
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Parameters
*a= production of NifA
*a= production of NifA
*kf= binding rate of NifA and NifL
*kf= binding rate of NifA and NifL
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*kb:rate of complex formation (i.e. dimerization, formation of tetramers/hexamers)
*kb:rate of complex formation (i.e. dimerization, formation of tetramers/hexamers)
*kb2: dissociation rate of such complexes given above
*kb2: dissociation rate of such complexes given above
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*m= represents how many subunits of NifA bind to NifHp (i.e., if we modeled NifA as a dimer [so 'i'=2], we would say m=3, since 2*3=6 (NifA is a hexamer).
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*tmax: Maximal transcription rate
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*tl: translation rate
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Functions
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*We model the production function of mRNA as a Hill-like, sigmoidal function
[https://2008.igem.org/Team:Michigan/Project/Modeling Back to Modeling]
[https://2008.igem.org/Team:Michigan/Project/Modeling Back to Modeling]
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Revision as of 02:16, 30 October 2008


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HOME THE TEAM THE PROJECT REGISTRY PARTS NOTEBOOK


Sequestillator Model 2: A More Complicated Model

While Model 1 gave us some important results (mainly: need a low Kd for oscillations to occur) , we decided to look at more complete model that accounted for some of the dimerizations the proteins undergo:

Model2Equations.png

Parameters

  • a= production of NifA
  • kf= binding rate of NifA and NifL
  • kr= dissociation rate of NifA/NifL complex
  • any d= degradation rate of that species
  • kb:rate of complex formation (i.e. dimerization, formation of tetramers/hexamers)
  • kb2: dissociation rate of such complexes given above
  • m= represents how many subunits of NifA bind to NifHp (i.e., if we modeled NifA as a dimer [so 'i'=2], we would say m=3, since 2*3=6 (NifA is a hexamer).
  • tmax: Maximal transcription rate
  • tl: translation rate

Functions

  • We model the production function of mRNA as a Hill-like, sigmoidal function


Back to Modeling