APPLICATION OF MULTIPLE SCALES METHOD FOR A SINGULARLY PERTUBED ENZYME KINETICS MODEL

• Main Author: WINARNI (NIM: 20116025), AMBAR
• Format: Theses
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/25448
• Institution: Institut Teknologi Bandung

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.