ANALISIS MODEL MATEMATIKA PADA KANKER SERVIKS DENGAN PENGELAKAN SISTEM IMUN DAN TERAPI SiRNA

Authors

  • Rara Sandhy Winanda Program Studi Matematika FMIPA UAD
  • Joko Purwadi Program Studi Matematika FMIPA UAD

DOI:

https://doi.org/10.12928/admathedu.v8i2.12348

Keywords:

Kanker Serviks, Model Matematika, Imonoediting, Terapi siRNA.

Abstract

Pada penelitian ini dibahas tentang dinamika interaksi antara sistem imun dan sel kanker serviks. Model matematika yang terbentuk berupa sistem persamaan biasa non linear yang menjelaskan hubungan interaksi antara sel kanker serviks, sistem imun, senyawa sitokin IL-2, dan senyawa TGF-.  Pertumbuhan sel kanker serviks dipicu oleh senyawa TGF- dan dihambat oleh pemberian terapi siRNA. Terapi ini bekerja mengurangi jumlah sel kanker serviks dengan menghambat sintesis mRNA yang menambah jumlah sel kanker serviks. Tujuan penulisan paper ini adalah menganalisis dua hal tentang kestabilan titik ekuilibrium bebas kanker dan eksistensi titik ekuilibrium infeksi HPV. Berdasarkan analisis model matematika terhadap lima titik ekuilibirium, yaitu terdiri dari tiga titik ekuilibirum bebas kanker dan dua titik ekuilibrium infeksi HPV, dua titik ekuilibrium bebas kanker bersifat tak stabil dan satu titik ekuilibrium stabil asimtotik dengan syarat tertentu, dan dua titik ekuilibrium infeksi HPV masing-masingnya memuat akar dari polinomial pangkat empat dan pangkat enam. Eksistensi titik ekuilibrium infeksi HPV ditentukan untuk menjamin bahwa kasus ini dapat mempunyai interpretasi biologis.

 

 

References

Adi-Fajar, K, dan. Rara, S.W., 2016, Bifurcation Analysis of the Cervical Cancer Cells, Effector Cells, and IL-2 Compound Interaction with Immunotherapy. Far East Jounal of Mathematical Sciences. 99 :869-883.

Arciero., J.C., Jackson., T.L., Kirschner., D.E. 2004. A Mathematical Model of Tumor-Immune Evasion and siRNA Treatment. AIM Sciences. 4:39-58.

Dougan, M., and Dranoff, G. 2009. Annual Review of Immunology. Immunotheraphy for Cancer. 27 :83-117.

Garcea, R.L., 2007. The Papillomaviruses, Springer, New York.

Hakim, L., 2010. Biologi dan Patogenesis Human Pappilomavirus. PKB. New Perspective of Sexually Transmitted Problem. P. 164-180.

IARC. 2007. Cervical Cancer Screening. International Agency for Research on Cancer Handbook of Cancer Prevention. France.

Kirschner, D. & Panetta. J.C. 1998. Modelling Immunotherapy of the Tumor Immune Interaction. Journal of Mathematical Biology. 37: 235-252.

Kresno, S.B., 2010. Imunologi. FK Universitas Indonesia. Jakarta.

Pradipta,B., dan Sungkar, S., 2007. Penggunaan vaksin HPV dalam Pencegahan Kanker Serviks. Majalah Kedokteran Indonesia, 57.

Restifo, N.P., et al. 2012. Adoptive Immunotherapy for Cancer:

Hernessing the T-Cell Response. Nature Review. 12 :269-281.

Sharma, Swarnali, and Samanta, G.P. 2013. Dinamical Behaviour of a Tumor Immune System with Chemotherapy and Optimal Control. Journal of Nonlinear Dynamics. 2013:1-13.

Stern,P.L., & Einstein, M.H. 2012. The Immunology of Human Papillomavirus Associated Oncogenesis. Springer Science+Business Media. UK.

WHO ICO HPV Information Centre. 2014. Human papillomavirus and Related Diseases report.

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Published

2018-12-11

Issue

Vol. 8 No. 2: Desember 2018

Section

Articles

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