Team:Paris/Modeling/f4

From 2008.igem.org

Method & Algorithm : ƒ4


= act_pFliA


Specific Plasmid Characterisation for ƒ4

According to the characterization plasmid (see right) and to our modeling, in the exponential phase of growth, at the steady state,

we have [FlhDC]real = {coefflhDC} ƒ1([aTc]i) and [FliA]real = {coeffliA} ƒ2([arab]i)

but we use [aTc]i = Inv_ƒ1( [FlhDC] ) and [arab]i = Inv_ƒ2( [FliA] )

So, at steady-states,

F4.jpg

we use this analytical expression to determine the parameters :

↓ Table of Values ↑


param signification unit value comments
(fluorescence) value of the observed fluorescence au need for 20 mesures with well choosen values of [aTc]i
and for 20 mesures with well choosen values of [arab]i
and 5x5 measures for the relation below?
conversion conversion ratio between
fluorescence and concentration
↓ gives ↓
nM.au-1 (1/79.429)
[GFP] GFP concentration at steady-state nM
γGFP dilution-degradation rate
of GFP(mut3b)
↓ gives ↓
min-1 0.0198 Time Cell Division : 35 min.
ƒ4 activity of
pFliA with RBS E0032
nM.min-1



param signification
corresponding parameters in the equations
unit value comments
β18 total transcription rate of
FlhDC><pFliA with RBS E0032
β18
nM.min-1
(K1/{coefflhDC}) activation constant of FlhDC><pFliA
K1
nM
n1 complexation order of FlhDC><pFliA
n1
no dimension
β23 total transcription rate of
FliA><pFliA with RBS E0032
β23
nM.min-1
(K7/{coeffliA}) activation constant of FliA><pFliA
K7
nM
n10 complexation order of FliA><pFliA
n7
no dimension
↓ Algorithm ↑


find_ƒ4

Then, if we have time, we want to verify the expected relation

SumpFliA.jpg


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