A joint-threshold Filippov model describing the effect of intermittent androgen-deprivation therapy in controlling prostate cancer

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-20 DOI:10.1016/j.mbs.2024.109301

Aili Wang , Rong Yan , Haixia Li , Xiaodan Sun , Weike Zhou , Stacey R. Smith?

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Abstract

Intermittent androgen-deprivation therapy (IADT) can be beneficial to delay the occurrence of treatment resistance and cancer relapse compared to the standard continuous therapy. To study the effect of IADT in controlling prostate cancer, we developed a Filippov prostate cancer model with a joint threshold function: therapy is implemented once the total population of androgen-dependent cells (AC-Ds) and androgen-independent cells (AC-Is) is greater than the threshold value

E T

, and it is suspended once the population is less than

E T

. As the parameters vary, our model undergoes a series of sliding bifurcations, including boundary node, focus, saddle, saddle-node and tangency bifurcations. We also obtained the coexistence of one, two or three real equilibria and the bistability of two equilibria. Our results demonstrate that the population of AC-Is can be contained at a predetermined level if the initial population of AC-Is is less than this level, and we choose a suitable threshold value.

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描述间歇性雄激素剥夺疗法在控制前列腺癌方面效果的联合阈值菲利波夫模型。

与标准的连续疗法相比，间歇性雄激素剥夺疗法（IADT）有利于延缓治疗耐药性的发生和癌症复发。为了研究间歇性雄激素剥夺疗法在控制前列腺癌方面的效果，我们建立了一个具有联合阈值函数的菲利波夫前列腺癌模型：一旦雄激素依赖性细胞（AC-Ds）和雄激素非依赖性细胞（AC-Is）的总数量大于阈值 ET，就会实施治疗；一旦数量小于 ET，就会暂停治疗。随着参数的变化，我们的模型经历了一系列滑动分岔，包括边界节点分岔、焦点分岔、鞍形分岔、鞍节点分岔和切线分岔。我们还获得了一个、两个或三个真实平衡态的共存以及两个平衡态的双稳态。我们的结果表明，如果 AC-Is 的初始数量小于这一水平，并且我们选择了一个合适的临界值，那么 AC-Is 的数量就可以控制在一个预定的水平上。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.