多形性胶质母细胞瘤免疫治疗的简化模型：癌症干细胞假说视角
Simplified model of immunotherapy for glioblastoma multiforme: cancer stem cells hypothesis perspective
AI总结：
本文基于癌症干细胞假说，简化GBM免疫治疗模型，分析其稳态存在性与稳定性，以评估治疗水平影响。
摘要：
尽管癌症研究不断取得进展，但目前仍未知晓针对多形性胶质母细胞瘤（GBM）的完全有效治疗方法。由于过继性细胞转移免疫治疗是潜在的治愈候选方案之一，人们已努力利用数学建模来评估其有效性。在本文中，我们考虑了Abernathy和Burke（2016）提出的GBM免疫治疗模型，该模型还考虑了癌症干细胞的动态，即被假设为在很大程度上导致癌症复发的癌细胞类型。我们通过应用简化假设修改了初始常微分方程组，并分析了所获简化模型在依赖治疗水平时稳态的存在性与稳定性。
英文摘要：
Despite ongoing efforts in cancer research, a fully effective treatment for glioblastoma multiforme (GBM) is still unknown. Since adoptive cell transfer immunotherapy is one of the potential cure candidates, efforts have been made to assess its effectiveness using mathematical modeling. In this paper, we consider a model of GBM immunotherapy proposed by Abernathy and Burke (2016), which also takes into account the dynamics of cancer stem cells, i.e., the type of cancer cells that are hypothesized to be largely responsible for cancer recurrence. We modify the initial ODE system by applying simplifying assumptions and analyze the existence and stability of steady states of the obtained simplified model depending on the treatment levels.
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