Wiki/Team:Imperial College London/Drylab/Autoinduction/Analysis/Kompala
From 2009.igem.org
(Difference between revisions)
(New page: {{Imperial/09/TemplateTop}} {{Imperial/09/Tabs/Temporal_Control/Modelling}} <b>Assumptions</b><br> *Michaelis Menten Assumptions [https://2009.igem.org/Team:Imperial_College_London/Drylab/E...) |
|||
(3 intermediate revisions not shown) | |||
Line 1: | Line 1: | ||
{{Imperial/09/TemplateTop}} | {{Imperial/09/TemplateTop}} | ||
{{Imperial/09/Tabs/Temporal_Control/Modelling}} | {{Imperial/09/Tabs/Temporal_Control/Modelling}} | ||
+ | <!-- | ||
<b>Assumptions</b><br> | <b>Assumptions</b><br> | ||
*Michaelis Menten Assumptions [https://2009.igem.org/Team:Imperial_College_London/Drylab/Enzyme (see drug kinetics model) ] have been applied in the kinetics of consumption of enzyme and substrate | *Michaelis Menten Assumptions [https://2009.igem.org/Team:Imperial_College_London/Drylab/Enzyme (see drug kinetics model) ] have been applied in the kinetics of consumption of enzyme and substrate | ||
Line 13: | Line 14: | ||
*In our project: | *In our project: | ||
**The primary Carbon source: Provides repression of the CRP promoter and delays the start of the encapsulation phase (Module 2) | **The primary Carbon source: Provides repression of the CRP promoter and delays the start of the encapsulation phase (Module 2) | ||
- | **The secondary Carbon Source: Will power the system once the primary source has been used up. Finding the best secondary carbon source can help us draw a relationship with the output yield of colanic acid. | + | **The secondary Carbon Source: Will power the system once the primary source has been used up. Finding the best secondary carbon source can help us draw a relationship with the output yield of colanic acid. --> |
- | + | ||
- | + | ||
- | + | ||
+ | <b>The actual model...</b><br> | ||
+ | When a mixture of substrates is placed in a Biomass (B), the interaction of the Biomass with any given substrate (S_(i)) is given by:<br> | ||
+ | [[Image:II09_kom1.jpg]]<br> | ||
+ | E_i is the enzyme catalyzing the metabolism of S_(i )and Y_(i ) is a yield coefficient for the particular substrate. | ||
+ | They then define a generic formula for the system of differential equations given by:<br> | ||
+ | [[Image:II09_kom2.jpg]]<br> | ||
+ | Further explanation:<br> | ||
+ | [[Image:II09_kom3.jpg]]<br> | ||
{{Imperial/09/TemplateBottom}} | {{Imperial/09/TemplateBottom}} |
Latest revision as of 18:11, 6 October 2009
The actual model...
When a mixture of substrates is placed in a Biomass (B), the interaction of the Biomass with any given substrate (S_(i)) is given by:
E_i is the enzyme catalyzing the metabolism of S_(i )and Y_(i ) is a yield coefficient for the particular substrate.
They then define a generic formula for the system of differential equations given by:
Further explanation: