摘要翻译：
利用随机数学模型研究了随机波动对效应细胞向肿瘤募集的影响。侵袭性生长的肿瘤面临着不同强度的细胞介导的免疫反应，其中混沌和周期振荡与稳定的肿瘤动力学共存。对噪声引起的从这种振荡状态到完全肿瘤占优势的转变进行了彻底的参数分析。一个迟滞现象被发现，它稳定肿瘤在其承载能力，并驱使健康和免疫细胞群体灭绝。此外，还证明了在弱噪声强度下，在危机分叉附近发生这种转变。最后，对相应的噪声诱导混沌-阶变换进行了详细的分析和讨论。
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英文标题：
《Tumor stabilization induced by T-cell recruitment fluctuations》
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作者：
Irina Bashkirtseva, Lev Ryashko, \'Alvaro G. L\'opez, Jesus M. Seoane,
  Miguel A. F. Sanju\'an
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最新提交年份：
2020
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分类信息：

一级分类：Quantitative Biology        数量生物学
二级分类：Other Quantitative Biology        其他定量生物学
分类描述：Work in quantitative biology that does not fit into the other q-bio classifications
不适合其他q-bio分类的定量生物学工作
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一级分类：Physics        物理学
二级分类：Chaotic Dynamics        混沌动力学
分类描述：Dynamical systems, chaos, quantum chaos, topological dynamics, cycle expansions, turbulence, propagation
动力系统，混沌，量子混沌，拓扑动力学，循环展开，湍流，传播
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英文摘要：
  The influence of random fluctuations on the recruitment of effector cells towards a tumor is studied by means of a stochastic mathematical model. Aggressively growing tumors are confronted against varying intensities of the cell-mediated immune response for which chaotic and periodic oscillations coexist together with stable tumor dynamics. A thorough parametric analysis of the noise-induced transition from this oscillatory regime to complete tumor dominance is carried out. A hysteresis phenomenon is uncovered, which stabilizes the tumor at its carrying capacity and drives the healthy and the immune cell populations to their extinction. Furthermore, it is shown that near a crisis bifurcation such transitions occur under weak noise intensities. Finally, the corresponding noise-induced chaos-order transformation is analyzed and discussed in detail.
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PDF链接：
https://arxiv.org/pdf/1911.04329