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arXiv · 2409.17903

Analysis of a Radiotherapy Model for Brain Tumors

Marina Chugunova·Hangjie Ji·Roman Taranets·Nataliya Vasylyeva
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Abstract

In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors with radiotherapy influence. Under certain assumptions on the given data in the model, we prove existence and uniqueness of a weak nonnegative (biological relevant) solution. Then, assuming only more regular initial data, we obtain the extra regularity of this solution. Besides, we analyze the optimal control of the advection coefficient responding for the radiotherapy effect on the tumor cell population. Finally, we provide numerical illustration to all obtained analytical results.

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Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva. 2024-09-26. Analysis of a Radiotherapy Model for Brain Tumors. https://arxiv.org/abs/2409.17903

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