Team:TUDelft/Color modeling
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Revision as of 13:21, 15 September 2008
>> work in progress
Color Modeling
In the output we use [http://www.lbl.gov/Science-Articles/Archive/assets/images/2004/Mar-24/Engineering_terpenoids.pdf mevalonate] and [http://parts.mit.edu/igem07/index.php/Image:Zeaxanthin.jpg GPP] pathways together to produce red, orange and yellow colors. The biosynthetic model is built in CellDesigner™. There are 14 substrates and 13 enzymes in total. The first substrate is Acetyl-CoA which is provided to the pathway in a constant level. The last three substrates are the color products and are consuming so we have degradation links for them. Lycopene, B-carotene and Zeaxanthin give red, orange and yellow colors respectively.
For the 14 reactions of enzyme-substrate the Michaelis-Menten kinetics is applied and we have the mass action kinetics for the three degradations.
According to the kinetic laws there are 14 differential equations for enzyme-subtrate reactions and three for degradations which could be constructed as:
x1 to x14 are the subtrates.
We used hill type model for enzyme temperature relations where e1 to e13 are the enzymes.
The next step is to find the coefficients of V and K for the both set of equations. In the subtrate equations we have Vmax=Kcat . E0 where Kcat is the turnover number and E0 is the enzyme's initial concentration.
... to be continued