MATHEMATICAL MODELS OF BIPOLAR DISORDER
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...
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Format: | Final Project |
Language: | Indonesia |
Online Access: | https://digilib.itb.ac.id/gdl/view/76366 |
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Institution: | Institut Teknologi Bandung |
Language: | Indonesia |
Summary: | 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. |
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