Team:NTU-Singapore/Parts/Failed Parameter Estimation

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=Introduction=
=Introduction=
'''Transcription of GFP gene mRNA'''<br>
'''Transcription of GFP gene mRNA'''<br>
[[Image:E71.JPG‎ |300px|E71]]<br>
[[Image:E71.JPG‎ |300px|E71]]<br>
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[MC]: E7 mRNA Concentration<br>
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{|border="0"|
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k1C: kinetic constant of transcription<br>
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|[MC]:
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a : constitutive portion , 0<a<1<br>
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|E7 mRNA Concentration
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KC: Hill constant<br>
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|-
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nC: Hill coefficient<br>
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|k1C:
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d1C: degradation constant for mRNA<br>
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|kinetic constant of transcription
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|-
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|a :  
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|constitutive portion , 0<a<1
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|-
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|KC:
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|Hill constant
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|-
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|nC:
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|Hill coefficient
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|-
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|d1C:
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|degradation constant for mRNA
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|}
'''Translation of GFP Protein'''<br>
'''Translation of GFP Protein'''<br>
[[Image:E72.JPG‎ |200px|E72]]<br>
[[Image:E72.JPG‎ |200px|E72]]<br>
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[PC] : Protein concentration<br>
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{|border="0"|
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k2C : kinetic constant of translation<br>
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|[PC] :
-
d2C : degradation constant for Protein<br>
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|Protein concentration
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|-
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|k2C :
 +
|kinetic constant of translation
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|-
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|d2C :
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|degradation constant for Protein
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|}
Above shown are the parameters of interest in this estiamtion exercise<br>
Above shown are the parameters of interest in this estiamtion exercise<br>
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=Parameter Estimation Results=
=Parameter Estimation Results=
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[[Image:AC.jpg|800px|aC]]<br>
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[[Image:AC.jpg|800px|thumb|center|Parameter Estimation Results of aC]]<br>
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[[Image:D1C.jpg|800px|d1C]]<br>
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[[Image:D1C.jpg|800px|thumb|center|Parameter Estimation Results of d1C]]<br>
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[[Image:D2C.jpg|800px|d2C]]<br>
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[[Image:D2C.jpg|800px|thumb|center|Parameter Estimation Results of d2C]]<br>
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[[Image:K1C.jpg|800px|k1C]]<br>
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[[Image:K1C.jpg|800px|thumb|center|Parameter Estimation Results of k1C]]<br>
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[[Image:K2C.jpg|800px|k2C]]<br>
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[[Image:K2C.jpg|800px|thumb|center|Parameter Estimation Results of k2C]]<br>
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[[Image:KC.jpg|800px|KC]]<br>
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[[Image:KC.jpg|800px|thumb|center|Parameter Estimation Results of KC]]<br>
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[[Image:NC.jpg|800px|nC]]<br>
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[[Image:NC.jpg|800px|thumb|center|Parameter Estimation Results of nC]]<br>
As seen the results are not consistent at all. It was assumed that the fluoresence observed would be directly proportional to the amount of proteins formed. The above results show that was not the case.
As seen the results are not consistent at all. It was assumed that the fluoresence observed would be directly proportional to the amount of proteins formed. The above results show that was not the case.
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Latest revision as of 07:22, 27 October 2008

Introduction

Transcription of GFP gene mRNA
E71

[MC]: E7 mRNA Concentration
k1C: kinetic constant of transcription
a : constitutive portion , 0<a<1
KC: Hill constant
nC: Hill coefficient
d1C: degradation constant for mRNA

Translation of GFP Protein
E72

[PC] : Protein concentration
k2C : kinetic constant of translation
d2C : degradation constant for Protein

Above shown are the parameters of interest in this estiamtion exercise

Parameter estimation of the constants in the transcription and translation of the GFP protein was performed using the RFU results obtained. The estimations were done using [http://www.mathworks.com/access/helpdesk/help/toolbox/slestim/index.html?/access/helpdesk/help/toolbox/slestim/rn/bqnp6nw-1.html&http://www.google.com/search?q=simulink+parameter+estimation&rls=com.microsoft:*&ie=UTF-8&oe=UTF-8&startIndex=&startPage=1 Simulink Parameter Estimation]. The approach was overly simplistic but done to get a feel of how the parameters would respond.



Parameter Estimation Results

Parameter Estimation Results of aC

Parameter Estimation Results of d1C

Parameter Estimation Results of d2C

Parameter Estimation Results of k1C

Parameter Estimation Results of k2C

Parameter Estimation Results of KC

Parameter Estimation Results of nC


As seen the results are not consistent at all. It was assumed that the fluoresence observed would be directly proportional to the amount of proteins formed. The above results show that was not the case.



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