模拟肿瘤演化的自由边界问题解的长时间行为。

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2025-01-01 Epub Date: 2022-04-26 DOI:10.1080/00036811.2022.2069102

Xuming Xie, Lubna Kadhim

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引用次数: 0

摘要

本文考虑了在癌症及其治疗的数学建模中出现的一些自由边界问题。在这些模型中，引入了一个参数η来表示T细胞或称为检查点抑制剂的药物对癌细胞的杀伤率。我们研究了随η参数变化时肿瘤的长时间行为。

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Long-time behavior of solutions to free boundary problems modeling tumor evolution.

In this paper, we consider some free boundary problems that arise in the mathematical modeling of cancer and its treatment. In these models, a parameter η is introduced to represent either the killing rate of the cancer cells by the T cells or a drug called checkpoint inhibitor. We study the long time behavior of the tumor as the parameter η varies.

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.