Team:SJTU-BioX-Shanghai/Modeling/Metabolize optimization
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In order to make the explaination of our model short and sweet, we simplify three main reactions as follows: | In order to make the explaination of our model short and sweet, we simplify three main reactions as follows: | ||
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+ | [[File:13sjtumzfMdfadfsdfodel2.png|500px]] | ||
+ | '''Reaction A''' | ||
+ | <br>For reaction A, it is a double substrates enzymatic reaction, consideration of substrate self-inhibition, we set this reaction model: | ||
+ | <br>[[File:13sjtumzfREACTION A.jpg|400px]] | ||
+ | <br>In the picture, EA means the complex of enzyme and A-CoA, EM means the complex of enzyme and M-CoA, EAM means the complex of enzyme and two substrates, EB means the complex of enzyme and B-ACP. | ||
+ | <br>c1-c15 means different reaction rate of combination. | ||
+ | <br><br>Due to the King-Altman algorithm, we can handle the reaction as follows: | ||
+ | <br>[[File:13sjtumzf5.JPG|500px]] | ||
+ | <br>[[File:13sjtumzf8.JPG|150px]] | ||
+ | <br>a means the concentration of A-CoA, b means the concentration if M-CoA, e means the concentration of enzyme (FabI & FabZ), z means the concentration of B-ACP. | ||
+ | <br><br>'''Reaction B''' | ||
+ | <br>For reaction B we set two equations to describe it: | ||
+ | <br>[[File:13sjtumzf6.JPG|250px]] | ||
+ | <br><br>'''Reaction C''' | ||
+ | <br>This is a typical single substrate single enzymatic reaction, we handle it with a Michaelis-Mentenequation. | ||
+ | <br>[[File:13sjtumzf7.JPG|250px]] | ||
+ | <br><br>'''Simultaneous''' | ||
+ | <br>By simultaneous differential equations we can get a short and sweet conclusion: | ||
+ | <br>for convenience, we sign | ||
+ | <br>[[File:13stumzf9.JPG|100px]] | ||
+ | <br>We can find the algebra relationship between the concentration of TesA and e (including FabI & FabZ) in the regulation process of fatty acid metabolism in such a single equation. | ||
+ | <br>[[File:13sjtumzf10.JPG|500px]] | ||
+ | <br>Thus we can know the best proportion of three enzymes for the fatty acid metabolism optimization if we can get the mentioned reaction constant. | ||
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Revision as of 01:31, 28 September 2013