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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Dynamical properties of a tumor growth system in the presence of immunization and colored cross-correlated noises
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Dynamical properties of a tumor growth system in the presence of immunization and colored cross-correlated noises

机译：存在免疫和彩色互相关噪声的情况下肿瘤生长系统的动力学特性

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摘要

We investigate the effects of the noise parameters and immunization strength β on the dynamical properties of a tumor growth system with both immunization and colored cross-correlated noises. The analytical expressions for the associated relaxation time T_C and the normalized correlation function C(s) are derived by means of the projection operator method. The results indicate that: (i) T_C as a function of the multiplicative noise intensity α shows resonance-like behavior, i.e. the curves of T _C versus α exhibit a single-peak structure and its peak position changes with increasing correlation strength between noises λ, the autocorrelation time of multiplicative noise τ_1, the autocorrelation time of additive noise τ_2 and the cross-correlation time τ_3. This behavior can be understood in terms of the noise-enhanced stability effect and the influence of the memory effects on it. (ii) The increasing λ, τ_1, τ_2 and the additive noise intensity D slow down the fluctuation decay of the tumor population, whereas the increasing τ_3 and β speed it up. (iii) C(s) increases as λ, τ_1, τ_2 and β increase, while it decreases with τ_3 increasing. Our study shows that the effects of some noise parameters on tumor growth can be modified due to the presence of the immunization effect.
机译：我们研究了噪声参数和免疫强度β对带有免疫和彩色互相关噪声的肿瘤生长系统动力学特性的影响。借助于投影算子方法得出相关联的弛豫时间T_C和归一化的相关函数C（s）的解析表达式。结果表明：（i）T_C作为乘性噪声强度α的函数表现出类似共振的行为，即T _C与α的曲线呈现单峰结构，并且其峰值位置随噪声λ之间的相关强度的增加而变化。 ，乘法噪声τ_1的自相关时间，附加噪声τ_2的自相关时间和互相关时间τ_3。可以从噪声增强的稳定性效应和记忆效应对其影响的角度来理解此行为。 （ii）增加的λ，τ_1，τ_2和加性噪声强度D减慢了肿瘤种群的波动衰减，而增加的τ_3和β加快了肿瘤的波动。 （iii）C（s）随着λ，τ_1，τ_2和β的增加而增加，而随着τ_3的增加而减少。我们的研究表明，由于存在免疫效果，某些噪声参数对肿瘤生长的影响可以改变。

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