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.

中文翻译：

---

T 细胞募集波动诱导的肿瘤稳定

通过随机数学模型研究随机波动对向肿瘤募集效应细胞的影响。积极生长的肿瘤面临着不同强度的细胞介导的免疫反应，其中混沌和周期性振荡与稳定的肿瘤动力学共存。对噪声诱导的从这种振荡状态到完全肿瘤优势的转变进行了彻底的参数分析。发现了一种滞后现象，它将肿瘤稳定在其承载能力，并驱使健康和免疫细胞群灭绝。此外，研究表明，在危机分叉附近，这种转变发生在噪声强度较弱的情况下。最后，对相应的噪声引起的混沌阶变换进行了详细的分析和讨论。