#TITLE_ALTERNATIVE#

• Main Author: Islahuddin (NIM 10103003), Muhammad
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/6506
• Institution: Institut Teknologi Bandung

ABSTRACT: <br /> <br /> <br /> <br /> <br /> Everything that happen in the body are the effect of things that happen in micro scale, which is the cell. Moreover, cells are coordinated by genetic materials using some certain mechanisms. One of the mechanisms that occurs is the genetic control mechanism using repressor protein, that is, a mechanism to regulate the chemical substances in a cell. The mathematical model then formed as a system of differential equation with time delays using standard theory from compartmental analysis and <br /> <br /> <br /> <br /> <br /> biochemical kinetics by considering the time of transcription and translation as a time delays. Stability and steady state problems are analyzed for the model without time delays. For the model with time delays, the analysis is done until the characteristic <br /> <br /> <br /> <br /> <br /> equation, which is the quasi polynomial equation, is found. Furthermore, the analysis is done by numerical simulations to find the effect of each parameter to the system.