Team:Paris/Modeling/f4

(Difference between revisions)

Latest revision as of 02:07, 30 October 2008

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 = {coef_flhDC} ƒ1([aTc]_i) and [FliA]_real = {coef_fliA} ƒ2([arab]_i)

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

So, at steady-states,

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
γ_GFP	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/{coef_flhDC})	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/{coef_fliA})	activation constant of FliA><pFliA K₇	nM
n₁₀	complexation order of FliA><pFliA n₇	no dimension

↓ Algorithm ↑

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

@@ Line 2: / Line 2: @@
 {{Paris/Header|Method & Algorithm : &#131;4}}
+<center> = act_''pFliA'' </center>
+<br>
 [[Image:f4DCA.png|thumb|Specific Plasmid Characterisation for &#131;4]]
@@ Line 7: / Line 9: @@
 According to the characterization plasmid (see right) and to our modeling, in the '''exponential phase of growth''', at the steady state,
-we have <span style="color:#0000FF;">[''FlhDC'']<sub>''real''</sub> = {coef<sub>''flhDC''</sub>} &#131;1([aTc]<sub>i</sub>)</span>
+we have ''' [''FlhDC'']<sub>''real''</sub> = {coef<sub>''flhDC''</sub>} &#131;1([aTc]<sub>i</sub>) '''
-and <span style="color:#0000FF;">[''FliA'']<sub>''real''</sub> = {coef<sub>''fliA''</sub>} &#131;2([arab]<sub>i</sub>)</span>
+and ''' [''FliA'']<sub>''real''</sub> = {coef<sub>''fliA''</sub>} &#131;2([arab]<sub>i</sub>) '''
-but we use <span style="color:#0000FF;">[aTc]<sub>i</sub> = Inv_&#131;1( [''FlhDC''] ) </span>
+but we use ''' [aTc]<sub>i</sub> = Inv_&#131;1( [''FlhDC''] ) '''
-and        <span style="color:#0000FF;">[arab]<sub>i</sub> = Inv_&#131;2( [''FliA''] ) </span>
+and        ''' [arab]<sub>i</sub> = Inv_&#131;2( [''FliA''] ) '''
 So, at steady-states,