| 宫颈癌放射治疗的数学模型研究 |
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| 引用本文： | 庞留勇,赵中,李秋英.宫颈癌放射治疗的数学模型研究[J].信阳师范学院学报(自然科学版),2022(1):1-6. |
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| 作者姓名： | 庞留勇 赵中 李秋英 |
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| 作者单位： | 1.黄淮学院数学与统计学院 |
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| 摘 要： | 研究了具有放射治疗的宫颈癌生长动力学模型,探讨了无肿瘤平衡点和边界周期解的稳定性,并获得相应的条件.进一步,利用Abdelkader分支理论,得到正周期解的存在性.理论分析结果表明:增强宫颈癌分裂细胞的放射敏感性是提高宫颈癌放射治疗效果的重要手段.最后给出数值模拟以验证理论分析结果.
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| 关 键 词： | 宫颈癌 放射治疗 数学模型 脉冲微分方程 |
Studies on Mathematical Model of Radiotherapy of Cervical Cancer |
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| Institution: | ,School of Mathematics and Statistics, Huanghuai University |
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| Abstract: | A dynamic model of the growth of cervical cancer with radiotherapy is studied, and the existence and stabilities of the tumor-free equilibrium and the boundary periodic solution are investigated, the corresponding conditions are obtained. Furthermore, the existence of positive periodic solution is investigated by Abdelkader bifurcation theory. The results of theoretical analysis show that enhancing the radiosensitivity of cervical cancer cells is an important means to improve the radiotherapy effect of cervical cancer. Finally, the numerical simulation are given to verify our theoretical analysis results. |
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| Keywords: | cervical cancer radiotherapy mathematical model impulse differential equation |
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