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Analysis of a Radiotherapy Model for Brain Tumors

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arxiv 2409.17903 v1 pith:F3JJV5RS submitted 2024-09-26 math.AP math.OCphysics.med-ph

Marina Chugunova , Hangjie Ji , Roman Taranets , Nataliya Vasylyeva This is my paper · ORCID
classification math.APmath.OCphysics.med-ph
keywords modelradiotherapyanalyticalbraindatanumericalsolutiontumors
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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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