Simulasi Dinamika Gelombang Berjalan Pada Model Invasi Tumor

Habib Abdullah; Dian Nuraiman; Esih Sukaesih

doi:10.15575/kubik.v2i1.1470

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Habib Abdullah
Jurusan Matematika, UIN Sunan Gunung Djati Bandung
Indonesia

Dian Nuraiman
Jurusan Matematika, UIN Sunan Gunung Djati Bandung
Indonesia

Esih Sukaesih
Jurusan Matematika, UIN Sunan Gunung Djati Bandung
Indonesia

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Simulasi Dinamika Gelombang Berjalan Pada Model Invasi Tumor

Habib Abdullah^(1*), Dian Nuraiman⁽²⁾, Esih Sukaesih⁽³⁾

(1) Jurusan Matematika, UIN Sunan Gunung Djati Bandung, Indonesia
(2) Jurusan Matematika, UIN Sunan Gunung Djati Bandung, Indonesia
(3) Jurusan Matematika, UIN Sunan Gunung Djati Bandung, Indonesia
(*) Corresponding Author

Abstract

Invasi adalah penjalaran sel tumor ke daerah sekitarnya yang menimbulkan kerusakan pada jaringan di sekitarnya. Penelitian ini menganalisis proses keberhasilan invasi sel tumor dengan cara menginvestigasi keberadaan solusi gelombang berjalan pada model haptotaksis sel tumor ganas dengan tidak mengabaikan proses difusi. Model tersebut diselesaikan secara numerik menggunakan metode Runga-Kutta Orde 4 untuk mengetahui dinamika gelombang berjalan dan pengaruh parameter awal terhadap dinamika gelombangnya. Hasil penelitian menunjukkan gelombang berjalan cenderung smooth ketika nilai awal konsentrasi matriks ekstraseluler (ECM) lebih besar dari nilai awal populasi sel tumor dan sebaliknya gelombang berjalan cenderung shock ketika nilai awal konsentrasi matriks ekstraseluler (ECM) lebih kecil daripada nilai awal populasi sel tumor.

Keywords

sel tumor; haptotaksis; gelombang berjalan; matriks ekstraseluler; metode runge-kutta

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References

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DOI: https://doi.org/10.15575/kubik.v2i1.1470

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Simulasi Dinamika Gelombang Berjalan Pada Model Invasi Tumor

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