寨卡病毒溶瘤治疗脑癌的数学模型动力学分析
Dynamic Analysis of Mathematical Model in Brain Cancer Treatment by Zika Virus Oncolysis
DOI: 10.12677/AAM.2019.82032, PDF,    国家自然科学基金支持
作者: 杨婷梅, 刘 建：广州大学数学与信息科学学院，广东 广州
关键词: 寨卡病毒；脑癌；溶瘤治疗；稳定性；药物剂量；数值模拟；Zika Virus； Brain Cancer； Oncolytic Therapy； Stability； Drug Dose； Numerical Simulation
摘要: 本文基于寨卡病毒特异性靶向杀害脑瘤细胞中的胶质瘤干细胞，而对正常细胞没有影响的原理，建立一个在正常细胞和脑肿瘤细胞竞争营养液的培养皿中，添加寨卡病毒溶瘤治疗的数学模型。分析系统中平衡点的存在性与稳定性，当脑肿瘤细胞灭绝时，溶瘤病毒治疗效果最佳，并给出最小的有效药物剂量参数表达式。最后，通过数值模拟来验证我们所得到的结论。
Abstract: Based on the Zika Virus specifically targeting to kill glioma stem cells, and having no effect on normal cells, we build a mathematical model about normal cells and brain tumor cells competing nutrient in culture dish adding Zika Virus Oncolytic therapy by analyzing the existence and stability of the equilibrium, and get the minimum effective dose parameters expression when the Oncolytic virus therapy is the most effective. Finally, we can verify the result by numerical simulation.
文章引用：杨婷梅, 刘建. 寨卡病毒溶瘤治疗脑癌的数学模型动力学分析[J]. 应用数学进展, 2019, 8(2): 277-291. https://doi.org/10.12677/AAM.2019.82032

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