Analogi Mekanik Model Gangguan Jiwa Bipolar
DOI:
https://doi.org/10.26418/pf.v9i1.45235Abstract
Telah dilakukan studi pada model gangguan jiwa bipolar. Penelitian ini bertujuan menginterpretasikan tentang redaman negatif dalam model gangguan jiwa bipolar berdasarkan tinjauan mekanika, serta menentukan jenis kestabilan dan keberadaan fenomena limit cycle dari model tersebut. Perubahan kondisi suasana hati yang ekstrim dari pasien gangguan jiwa bipolar dapat dimodelkan secara matematis dengan menggunakan model osilator harmonik yang teredam negatif. Terdapat dua keadaan penderita yaitu gangguan jiwa bipolar tanpa pengobatan dan dengan pengobatan. Selanjutnya, solusi persamaan gangguan jiwa bipolar yang dituliskan dalam bentuk sistem persamaan non-linear autonomus untuk mendapatkan nilai Eigen sehingga diperoleh hasil bahwa model gangguan bipolar tanpa pengobatan dan dengan pengobatan ditinjau dari sistem yang berosilasi yaitu (dimana dan merupakan parameter), menghasilkan nilai Eigen bagian riil positif dan menunjukkan bahwa titik tersebut merupakan titik tak stabil. Pada diagram fasa yang diselesaikan secara numerik menggunakan Ordinary Differential Equation 45 (ODE45) model gangguan jiwa bipolar dengan pengobatan memiliki sebuah limit cycle yang unik. Eksistensi limit cycle ini menyebabkan orbit pada bidang fase akan menuju ke suatu lingkaran tertentu. Limit cycle inilah diinterpretasikan sebagai keberhasilan proses pengobatan, karena keadaan emosional penderita berosilasi dalam batas yang ditentukan.References
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Date: 24-05-2023
Prisma Fisika
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