Analisis Model Dinamika Matrix-Metalloproteinase (MMs), Matrix-Degradative Enzymes (MDEs) Dan Oksigen (02) Terhadap Pertumbuhan Tumor.
Analysis of Model Dynamics of Matrix-Metalloproteinase (MMs), Matrix-Degradative Enzymes (MDEs) and Oxygen (02) in Tumour Growth
Abstract
Tumor adalah jaringan selliar berupa benjolan atau pembengkakan yang terjadi di bagian tubuh. Awal terjadinya tumor 85% disebabkan oleh faktor dari luar tubuh (eksternal) yang dapat dikendalikan yaitu karsinogen, sinar ultraviolet, virus, dan infeksi, sedangkan 15% oleh faktor keturunan. Apabila tumor sudah mulai tumbuh, untuk proses selanjutnya akan dipengaruhi oleh matrix-metalloproteinase (MMs), matrix-degradative enzymes (MDEs) dan oksigen (02). Bertolak dari hal tersebut maka penelitian ini dilakukan dengan mengkonstruksi kembali model Multiscale Diffusion Cancer-invasion Model (MDCM) untuk mengkaji dinamika MMs, MDEs dan O2• Tumour is a wild cell in the form of bump body. Its growth was 85% caused from outside body (external). These are carcinogen, ultraviolet, virus and infection, while 15% caused by genetic factor. After tinnour sprouted, then the next process will be influenced by matrix-metalloproteinase (MMs), matrixdegradative enzymes (MDEs) and oxygen (02). This research was a reconstruction of a model called Multiscale Diffusion Cancer-invasion Model (MDCM) to study the dynamics of MMs, MDEs and O2 in tumour. In this research a simulation was conducted to analyze the stability of the fixed points and the dynamics of MMs, MDEs and 02 for some different conditions. The result of simulation for parameter value <p < 0,063 (other parameter fixed) also showed that the MMs, MDEs and O2 were periodic and unstable. Result of simulation for parameter value p > 0 (other parameter fixed) showed that the MMs, MDEs and 02 were periodic and unstable. The increase of parameter p value also caused the increase of O2, while both MMs and MDEs components remained constant. Increase of parameter p value was followed by increase in O2 while the MMs and MDEs were the same.
