基于脑乳酸动力学的肿瘤生长模型。

IF 0.8 4区数学 Q4 BIOLOGY

Mathematical Medicine and Biology-A Journal of the Ima Pub Date : 2022-12-02 DOI:10.1093/imammb/dqac010

Laurence Cherfils, Stefania Gatti, Carole Guillevin, Alain Miranville, Rémy Guillevin

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引用次数: 1

摘要

我们的目的是在本文中研究高级别胶质瘤的数学模型，考虑到乳酸动力学，以及化疗和抗血管生成治疗。特别地，我们证明了生物相关解的存在性和唯一性。我们还根据文献中发现的不同治疗情况进行数值模拟。这些模拟与在这些情况下的预期是一致的。

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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On a tumor growth model with brain lactate kinetics.

Our aim in this paper is to study a mathematical model for high grade gliomas, taking into account lactates kinetics, as well as chemotherapy and antiangiogenic treatment. In particular, we prove the existence and uniqueness of biologically relevant solutions. We also perform numerical simulations based on different therapeutical situations that can be found in the literature. These simulations are consistent with what is expected in these situations.

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来源期刊

Mathematical Medicine and Biology-A Journal of the Ima 生物-生物学

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Formerly the IMA Journal of Mathematics Applied in Medicine and Biology. Mathematical Medicine and Biology publishes original articles with a significant mathematical content addressing topics in medicine and biology. Papers exploiting modern developments in applied mathematics are particularly welcome. The biomedical relevance of mathematical models should be demonstrated clearly and validation by comparison against experiment is strongly encouraged. The journal welcomes contributions relevant to any area of the life sciences including: -biomechanics- biophysics- cell biology- developmental biology- ecology and the environment- epidemiology- immunology- infectious diseases- neuroscience- pharmacology- physiology- population biology