MATHEMATICAL MODELS OF BIPOLAR DISORDER

• Main Author: Rizanti, Anessa
• Format: Final Project
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/76366
• Institution: Institut Teknologi Bandung

Bipolar disorder is a common psychiatric dysfunction characterized by recurrent episodes of mania and depression. Although the causes and mechanisms of most bipolar disorder are unknown, this thesis focuses on the interaction between emotions and behavior using a mathematical model that is built on the principle of predicting the relationship between duration of changes in emotional condition and changes in emotional states. Limit cycle oscillator use for modelling bipolar II disorder which is characterized by changes in episodes of mania and depression that afflict 0.34% of the total population of Indonesia or around 920 thousand people in 2019. In this study, two non-linear oscillator models were considered from one bipolar patient. The framework is starting with the untreated individual then monitoring the effects of treatment according to the model. In this study, the parameters for each model were also considered, which showed the control variables that regulated the stages of stimulation of the behavior of bipolar patients and aggregate treatment or parameters consisting of a combination of drugs and therapy.