APPLICATION OF MULTIPLE SCALES METHOD FOR A SINGULARLY PERTUBED ENZYME KINETICS MODEL
Enzyme is a protein that acts as a catalist in chemical reaction. Enzyme kine- <br /> <br /> tics describes how fast the enzyme reaction takes place. The enzyme kinetics <br /> <br /> mechanism can be mathematically modeled in the form of differential equa- <br /> <b...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/25448 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Enzyme is a protein that acts as a catalist in chemical reaction. Enzyme kine- <br />
<br />
tics describes how fast the enzyme reaction takes place. The enzyme kinetics <br />
<br />
mechanism can be mathematically modeled in the form of differential equa- <br />
<br />
tion system. The model can be transformed into a dimensionless model. One <br />
<br />
dimensionless parameter that appears in the equation is the ratio of initial <br />
<br />
enzyme consentration to an initial substrate consentration. It turns out that <br />
<br />
this parameter is smaller than other dimensionless parameters and as a multi- <br />
<br />
plication factor of the highest derivative term. That problem leads to so called <br />
<br />
a singular perturbation problem. In this final project, we will apply the mul- <br />
<br />
tiple scales method to solve the problem. The results of this method are then <br />
<br />
compared with the numerical solutions. Both result are quite in agreement. |
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