Model matematika terapi kanker dengan viroterapi

Authors

  • Thariq Muhariyanto Departemen Matematika, Fakultas Sains dan Teknologi Terapan, Universitas Ahmad Dahlan
  • Yudi Ari Adi Departemen Matematika, Fakultas Sains dan Teknologi Terapan, Universitas Ahmad Dahlan

DOI:

https://doi.org/10.26555/konvergensi.v7i1.19538

Keywords:

Model matematika, Viroterapi, Onkolitik, Persamma diferensial, Kestabilan, Titik ekuilibrium

Abstract

Model merupakan penyederhanaan fenomena-fenomena nyata dalam bentuk matematika. Salah satunya adalah model matematika pada terapi kanker dengan virus oncolytic atau yang disebut viroterapi. Viroterapi merupakan terapi kanker yang menggunakan virus sebagai terapinya. Virus yang digunakan yaitu virus onkolitik. Sistem persamaan dalam penelitian ini menggunakan sistem persamaan diferensial nonlinier dengan melibatkan tiga variabel yaitu sel tumor tidak terinfeksi x(t), sel tumor terinfeksi y(t), dan partikel virus bebas v(t). Kemudian dilakukan analisis model matematika yang meliputi titik ekuilibrium, kestabilan di sekitar titik ekuilibrium, dan simulasi numerik. Analisis kestabilan dilakukan untuk mempelajari kedinamikan suatu system dengan tujuan menyelidiki jenis kestabilan dari titik-titik ekuilibrium pada setiap variabel dalam model, sehingga dapat diketahui kapan mencapai titik keseimbangan (ekuilibrium). Hasil penelitian menunjukkan terdapat tiga titik ekuilibrium pada model matematika viroterapi yaitu E0(0; 0; 0), E1(K; 0; 0) dan E2. Dari model yang dibahas ukuran ledakan virus, selektivitas virus dari virus onkolitik dan ukuran tumor maksimum akan menentukan hasil dari viroterapi. Ini bermakna secara biologis. Semakin besar tumor, semakin banyak virus kuat diperlukan untuk melawannya.

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Published

2020-04-05

Issue

Vol. 7 No. 1 (2020)

Section

Articles

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