Team:TUDelft/Color modeling

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Revision as of 13:09, 15 September 2008

>> work in progress

Color Modeling

In the output we use mevalonate and 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.

Mev final.jpg
Color Pathway


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:


Eq1.gif

x1 to x14 are the subtrates.

Enz1.gif

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.


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<math> Insert formula here </math>