TWO NUMERICAL SOLUTIONS FOR SOLVING A MATHEMATICAL MODEL OF THE AVASCULAR TUMOR GROWTH


Korkut S. O., Karabas N. I., Başbınar Y.

JOURNAL OF BASIC AND CLINICAL HEALTH SCIENCES, cilt.5, sa.3, ss.156-164, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.30621/jbachs.957601
  • Dergi Adı: JOURNAL OF BASIC AND CLINICAL HEALTH SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.156-164
  • Anahtar Kelimeler: Avascular tumor growth, numerical simulation, mathematical biology, three-stage strongly-stability preserving Runge-Kutta method, 4th-order Runge-Kutta Method
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

Objective: Cancer which is one of the most challenging health problems overall the world is composed of various processes: tumorigenesis, angiogenesis, and metastasis. Attempting to understand the truth behind this complicated disease is one of the common objectives of many experts and researchers from different fields. To provide deeper insights any prognostic and/or diagnostic scientific contribution to this topic is so crucial. In this study, the avascular tumor growth model which is the earliest stage of tumor growth is taken into account from a mathematical point of view. The main aim is to solve the mathematical model of avascular tumor growth numerically.