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Team:TUDelft/Color modeling
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x<sub>1</sub> to x<sub>14</sub> are the subtrates. | x<sub>1</sub> to x<sub>14</sub> are the subtrates. | ||
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Revision as of 16:45, 27 August 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.
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.
<math>\sqrt{1-e^2}</math>
... to be continued ;)
