一种脑肿瘤放疗模型的分析

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-07-03 DOI:10.1111/sapm.70074

Marina Chugunova, Hangjie Ji, Roman Taranets, Nataliya Vasylyeva

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引用次数: 0

摘要

在这项工作中，我们着重于脑肿瘤放射治疗的数学模型的分析和数值研究。在给定模型数据的某些假设下，我们证明了一个弱非负（生物相关）解的存在唯一性。然后，我们展示了初始数据的附加规律性如何影响这些解的规律性。此外，我们还分析了平流系数的最优控制，平流系数可以调节放疗对肿瘤细胞群的影响。我们还用相关的数值模拟来补充我们的分析结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Analysis of a Radiotherapy Model for Brain Tumors

In this work, we focus on the analytical and numerical study of a mathematical model for brain tumors undergoing radiotherapy treatment. Under certain assumptions regarding the given data in the model, we prove the existence and uniqueness of a weak nonnegative (biologically relevant) solution. Then, we show how the additional regularity of initial data affects the regularity of these solutions. Besides, we analyze the optimal control of the advection coefficient which tunes the radiotherapy effect on the tumor cell population. We also complement our analytical results with relevant numerical simulations.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.