Dergiler / Mathematical Modelling and Numerical Simulation with Applications / 2022 / Cilt: 2 Sayı: 3

Set-valued analysis of anti-angiogenic therapy and radiotherapy

Sayfa
187–196
Yayın Tarihi
2022-09-30
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A numerical simulation scheme with graphical representations and biological interpretations are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of the paper is to study a cancer model based on anti-angiogenic therapy and radiotherapy.
📊
Temel Bulgular & Veri:A set-valued analysis is carried out to control the tumor and carrying capacity of the vasculature, so in order to reverse tumor growth and augment tumor repair.
💡
Sonuç & Katkı:A numerical simulation scheme with graphical representations and biological interpretations are given.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Anti-angiogenic therapy · radiotherapy · viability theory

Abstract

The aim of the paper is to study a cancer model based on anti-angiogenic therapy and radiotherapy. A set-valued analysis is carried out to control the tumor and carrying capacity of the vasculature, so in order to reverse tumor growth and augment tumor repair. The viability technique is used on an augmented model to solve the control problem. Obtained control is a selection of set-valued map of regulation and reduces tumor volume to around zero. A numerical simulation scheme with graphical representations and biological interpretations are given.

🔖

Bu Makaleye Atıf Yap

MOUSTAFİD, A. (2022). Set-valued analysis of anti-angiogenic therapy and radiotherapy. Mathematical Modelling and Numerical Simulation with Applications, Cilt: 2 Sayı: 3, 187–196. https://ajindex.com/articles/977626

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (12)

  1. Özköse, F., Şenel, M.T., & Habbireeh, R. Fractional-order mathematical modelling of cancer cells-cancer stem cells-immune system interaction with chemotherapy. Mathematical Modelling and Numerical Simulation with Applications, 1(2), 67-83, (2021).
  2. Ghori, M.B., Naik, P.A., Zu, J., Eskandari, Z., & Naik, M.U.D. Global dynamics and bifurcation analysis of a fractional-order SEIR epidemic model with saturation incidence rate. Mathematical Methods in the Applied Sciences, 45(7), 3665-3688, (2022).
  3. Sinan, M., Leng, J., Anjum, M., & Fiaz, M. Asymptotic behavior and semi-analytic solution of a novel compartmental biological model. Mathematical Modelling and Numerical Simulation with Applications, 2(2), 88-107, (2022).
  4. Naik, P.A., Yavuz, M. & Zu, J. The role of prostitution on HIV transmission with memory: A modeling approach. Alexandria Engineering Journal, 59(4), 2513-2531, (2020).
  5. Gholami, M., Ghaziani, R.K., & Eskandari, Z. Three-dimensional fractional system with the stability condition and chaos control. Mathematical Modelling and Numerical Simulation with Applications, 2(1), 41-47, (2022).
  6. Naik, P.A., Owolabi, K.M., Yavuz, M., & Zu, J. Chaotic dynamics of a fractional order HIV-1 model involving AIDS-related cancer cells. Chaos, Solitons & Fractals, 140, 110272, (2020).
  7. Naik, P.A., Eskandari, Z., & Shahraki, H.E. Flip and generalized flip bifurcations of a two-dimensional discrete-time chemical model. Mathematical Modelling and Numerical Simulation with Applications, 1(2), 95-101, (2021).
  8. Naik, P.A., Zu, J., & Naik, M.U.D. Stability analysis of a fractional-order cancer model with chaotic dynamics. International Journal of Biomathematics, 14(06), 2150046, (2021).
  9. Naik, P.A., Yavuz, M., Qureshi, S., Zu, J., & Townley, S. Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan. The European Physical Journal Plus, 135(10), 1-42, (2020).
  10. Joshi, H., & Jha, B.K. Chaos of calcium diffusion in Parkinson’s infectious disease model and treatment mechanism via Hilfer fractional derivative. Mathematical Modelling and Numerical Simulation with Applications, 1(2), 84-94, (2021).
  11. Joshi, H., & Jha, B.K. On a reaction–diffusion model for calcium dynamics in neurons with Mittag–Leffler memory. The European Physical Journal Plus, 136(6), 1-15, (2021).
  12. Joshi, H., & Jha, B.K. Generalized Diffusion Characteristics of Calcium Model with Concentration and Memory of Cells: A Spatiotemporal Approach. Iranian Journal of Scienc