Stochastic resonance induced by Lévy noise in a tumor growth model with periodic treatment
Stochastic resonance induced by Lévy noise in a tumor growth model with periodic treatment
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DOI：
10.1142/s0217984914500857
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发表时间：
2014-05
影响因子：
1.9
通讯作者：
Wei Xu;Mengli Hao;X. Gu;Guidong Yang
中科院分区：
文献类型：
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作者：
Wei Xu;Mengli Hao;X. Gu;Guidong Yang
研究了在亚阈值周期治疗和Levy噪声激励下的肿瘤生长模型中的随机共振现象。讨论了随机共振引起肿瘤复发的可能性。通过数值计算信噪比(SNR)来衡量随机共振。研究发现，稳定性指数越小，避免肿瘤复发的效果越好。此外，偏度参数对肿瘤再生长的影响与稳定性指数有关。此外，增加周期治疗的强度并不总是有利于肿瘤的治疗。这些结果对优化周期性肿瘤的治疗方案具有一定的指导意义。
In this paper, the stochastic resonance phenomenon in a tumor growth model under subthreshold periodic therapy and Levy noise excitation is investigated. The possible reoccurrence of tumor due to stochastic resonance is discussed. The signal-to-noise ratio (SNR) is calculated numerically to measure the stochastic resonance. It is found that smaller stability index is better for avoiding tumor reappearance. Besides, the effect of the skewness parameter on the tumor regrowth is related to the stability index. Furthermore, increasing the intensity of periodic treatment does not always facilitate tumor therapy. These results are beneficial to the optimization of periodic tumor therapy.