兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (4): 159-167.

• 数理科学 • 上一篇    下一篇

模型化益生菌对治疗前列腺癌的潜在影响

康霞霞*1, 贺艳2   

  1. 1.吕梁学院 数学系, 山西 离石 033000;
    2.常熟理工学院 数学与统计学院, 江苏 常熟 215500
  • 收稿日期:2023-02-23 出版日期:2024-08-28 发布日期:2024-08-30
  • 通讯作者: 康霞霞(1986-),女,山西吕梁人,博士,讲师.Email:kxx_math@163.com
  • 基金资助:
    国家自然科学基金(12101082),山西省高等学校科技创新计划(2022L567)

Modeling the potential impact of probiotics in the treatment of prostate cancer

KANG Xia-xia1, HE Yan2   

  1. 1. Department of Mathematics, Lyuliang University, Lishi 033000, China;
    2. School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China
  • Received:2023-02-23 Online:2024-08-28 Published:2024-08-30

摘要: 根据益生菌与前列腺癌细胞之间的相互作用机制,构建了由益生菌、雄性激素依赖性前列腺癌细胞和雄性激素非依赖性前列腺癌细胞组成的三维随机癌动力学模型.通过构建V函数,获得了前列腺癌细胞持续、灭绝的充分条件.模拟预测了益生菌辅助雄性激素剥夺疗法治疗前列腺癌的效果.研究表明:益生菌对前列腺癌细胞的抑制作用和噪声强度在前列腺癌细胞持续和灭绝中扮演了重要作用;增强噪声强度或改进有益菌对癌细胞的抑制作用不仅可以有效根除癌细胞而且可以有效防止耐药现象的发生.

关键词: 前列腺癌细胞随机模型, 灭绝性, 持久性, 耐药性

Abstract: According to the interaction mechanism between probiotics and prostate cancer cells, a three-dimensional stochastic cancer dynamic model composed of probiotics, androgen-dependent prostate cancer cells and androgen-independent prostate cancer cells was constructed. The sufficient conditions for the persistence and extinction of prostate cancer cells were obtained by constructing an appropriate V function. The therapeutic effect of probiotic-assisted androgen deprivation therapy against prostate cancer was simulated and predicted. The study found that probiotics’ inhibitory effect on prostate cancer cells and noise intensity played an important role in the persistence and extinction of prostate cancer cells. In particular, further studies have shown that enhancing noise or improving the inhibitory effect of beneficial bacteria on androgen-independent cancer cells can not only effectively eradicate cancer cells but also effectively prevent the occurrence of drug resistance.

Key words: random model of prostate cancer, extinction, persistence, drug resistance

中图分类号: