Numerical solution of a 3D mathematical model for the progression of tumor angiogenic factor in a tissue
ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, sa.1, 2025 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2025
- Doi Numarası: 10.59400/adecp2489
- Dergi Adı: ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Kocaeli Üniversitesi Adresli: Evet
Özet
In this work, the movement of tumor angiogenic factor in a three-dimensional tissue is obtained by the Method of Lines. This method transforms a partial differential equation into a system of ordinary differential equations together with the initial and boundary conditions. The more the number of lines is increased, the more the accuracy of the method increases. This method results in very accurate numerical solutions for linear and non-linear problems in contrast with other existing methods. We present Matlab-generated figures, which are the movement of tumor angiogenic factor in porous medium and explain the biological importance of this progression. The computer codes are also provided.