The Metastasis Behavior In The Cervical Cancer Mathematical Model
Penulis/Author
TRI SRI NOOR ASIH (1); Prof. Dr. Fajar Adi Kusumo, S.Si., M.Si. (2); Dr.rer.nat. Lina Aryati, M.S. (3); dr. Mardiah Suci Hardianti, Ph.D. Sp.PD-KHOM (4)
Tanggal/Date
2015
Kata Kunci/Keyword
Abstrak/Abstract
We consider the mathematical model which shows the dynamics of the cervical cancer cells based on the natural history of cervical cancer. The model has two equilibria, one is stable and the other is unstable which is saddle-type. In this paper, we show numerically that the stable manifold of this equilibrium separates two types of solution of the dynamical system. The first type is the solutions which tend to the stable equilibrium, and the second type is the solutions which is convergent to the unstable manifold of the equilibrium. The unstable manifold corresponds with medical interpretation as a threshold of metastasis condition. We also do simulation to show the movement of the separatrix related to the variation of the parameter value. The movement of the separatrix shows corresponds with the maximal progression rate from the precancerous to the cancerous stage. Increasing the maximal progression rate from precancerous to cancerous or decreasing the difference between precancerous ploriferation and apostosis rate will expand the domain of solutions that convergent to the stable equilibrium. These behaviors can be used as an alternative treatment for cervical cancer patient.
Rumpun Ilmu
Matematika
Bahasa Asli/Original Language
English
Level
Internasional
Status
Dokumen Karya
No
Judul
Tipe Dokumen
Aksi
1
Jurnal Published 2015 (cover, editorial, daftar isi) The Metastasis Behavior In The Cervical Cancer.pdf
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2
Jurnal Published 2015 (artikel) The Metastasis Behavior in The Cervical.pdf
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3
The Metastasis Behavior In The Cervical Cancer Mathematical Model.pdf
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4
2023 Maret 16 - dr MS - Surat Ket EC - The metastasis.pdf
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