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

Set-valued analysis of anti-angiogenic therapy and radiotherapy

Amine MOUSTAFİD
Pages
187–196
Publication Date
2022-09-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of the paper is to study a cancer model based on anti-angiogenic therapy and radiotherapy.
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Key Findings & Data: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.
💡
Conclusion & Impact:A numerical simulation scheme with graphical representations and biological interpretations are given.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

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

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