Team:Kyoto/Digestion/Modeling

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Modeling

We preformed modeling to improve usability of the results of Team Digestion. The aim of this modeling is creation of the relationship of time and the concentration of E.coli, chitinase and N-acetylglucosamin.

Stable phase model

At first, we defined these things. In these premises

  • chitinase in medium isn't decomposed
  • E.coli don't digest N-acetylgulcosamin
  • chitin as substrate of chitinase is sufficient for reaction with chitinase
  • E.coli don't grow.


Modeling Equation1.png


Two under equations of this figure show the production of citinase by E.coli and the decomposition reaction of chitin. In this decompositon reaction, the concentration of chitin isn't related because chitin is solid and don't dissolve in water.
We sought the answers of these equation by followig procedures.


Modeling Equation2.png


From these answers, we can get this graph.


Modeling Modeling1.png


Second, we creat anothre graph. In this graph, E.coli digest N-acetylgulcosamin. In this model, following equatio was used.


Modeling Equation3.png


Modeling Modeling1.png


Exponetial phase model

At first, we defined these things. In these premises

  • chitinase in medium isn't decomposed
  • E.coli don't digest N-acetylgulcosamin
  • chitin as substrate of chitinase is sufficient for reaction with chitinase
  • E.coli don't grow.


Modeling Equation4.png


Two under equations of this figure show the production of citinase by E.coli and the decomposition reaction of chitin. In this decompositon reaction, the concentration of chitin isn't related because chitin is solid and don't dissolve in water.
We sought the answers of these equation by followig procedures.


Modeling Equation5.png


From these answers, we can get this graph.


Modeling Modeling2.png


Second, we creat anothre graph. In this graph, E.coli digest N-acetylgulcosamin. In this model, following equatio was used.


Modeling Equation6.png


Modeling Modeling2.png