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Search Results: 1 - 10 of 49970 matches for " Yuan-Zhi Shao "
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Stochastic resonance in the growth of a tumor induced by correlated noises
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Physics , 2005,
Abstract: Multiplicative noise is found to divide the growth law of tumors into two parts in a logistic model, which is driven by additive and multiplicative noises simultaneously. The Fokker-Planck equation was also derived to explain the fact that the influence of the intensity of multiplicative noise on the growth of tumor cells has a stochastic resonance-like characteristic. An appropriate intensity of multiplicative noise is benefit to the growth of the tumor cells. The correlation between two sorts of noises weakens the stochastic resonance-like characteristic. Homologous noises promote the growth of the tumor cells.
Noise-induced first-order transition in anti-tumor immunotherapy
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Physics , 2005,
Abstract: We studied the single-variable dynamics model of the tumor growth. A first-order phase transition induced by an additive noise is shown to reproduce the main features of tumor growth under immune surveillance. The critical average cells population has a power-law function relationship with the immune coefficient.
Influence of Correlated Noises on Growth of a Tumor
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Physics , 2005,
Abstract: We studied the effect of additive and multiplicative noises on the growth of a tumor based on a logistic growth model. The steady-state probability distribution and the average population of the tumor cells were given to explain the important roles of correlated noises in the tumor growth. We found that multiplicative noise induces a phase transition of the tumor growth from an uni-stable state to a bi-stable state; the relationship between the intensity of multiplicative noise and the population of the tumor cells showed a stochastic resonance-like characteristic. It was also confirmed that additive noise weakened rather than extinguish the tumor growth. Homologous noises, however, promote the growth of a tumor. We also discussed about the relationship between the tumor treatment and the model.
Spatiotemporal Fluctuation Induced Transition in a Tumor Model with Immune Surveillance
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Physics , 2006, DOI: 10.1103/PhysRevE.74.011916
Abstract: We report on a simple model of spatial extend anti-tumor system with a fluctuation in growth rate, which can undergo a nonequilibrium phase transition. Three states as excited, sub-excited and non-excited states of a tumor are defined to describe its growth. The multiplicative noise is found to be double-face: The positive effect on a non-excited tumor and the negative effect on an excited tumor.
Pure multiplicative stochastic resonance of anti-tumor model with seasonal modulability
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Quantitative Biology , 2006, DOI: 10.1103/PhysRevE.73.060902
Abstract: The effects of pure multiplicative noise on stochastic resonance in an anti-tumor system modulated by a seasonal external field are investigated by using theoretical analyses of the generalized potential and numerical simulations. For optimally selected values of the multiplicative noise intensity quasi-symmetry of two potential minima and stochastic resonance are observed. Theoretical results and numerical simulations are in good quantitative agreement.
Sensitive predators and endurant preys in an ecosystem driven by correlated noises
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He
Quantitative Biology , 2005,
Abstract: We investigate the Volterra ecosystem driven by correlated noises. The competition of the predators induces an increasing in population density of the predators. The competition of the preys, however, leads the predators to decay. The predators may have better stability under strong correlated noises. The predators undergo a sensitivity to a random environment, whereas the preys exhibit a surprising endurance to this stochasticity.


物理学报 , 2001,
Abstract: 采用Monte Carlo方法对离散混合经典Heisenberg自旋体系在周期性外场驱动下动态相变行为进行了模拟计算.在典型Heisenberg自旋体系的哈密顿量基础上,引入表征非晶相的随机各向异性能项(比例为X)和表征晶体相的单轴各向异性能项(比例为1-X),考察了该混合自旋体系磁滞后回线面积Aarea随X和单轴各向异性常数A及随机各向异性常数D的变化规律,并确定了该类自旋体系动态相变新的滞后标度关系Aarea-AδDη

SHAO Yuan-Zhi,Lan Tu,Lin Guang-Ming,

物理学报 , 2001,
Abstract: The dynamic phase transition has been studied in the three-dimensional kinetic Ising model in the presence of a time-varying(sinusoidal)magnetic field by Monte Carlo simulation.The nature of the transition is characterized by studying the distribution of the order parameter.The system is in contact with an isothermal heat bath at temperature T.We varied the magnitude of the magnetic field,keeping the frequency of the magnetic field unchanged.For the lower values of the environment temperature the transition is discontinuous and it is continuous for higher values of the environment temperature,indicating the existence of a tricritical point (TCP) on the phase boundary.The TCP shifts towards higher temperature region with the decrease of frequency.i.e:TTCP=1.33×e(-ω/30.7)
Spatiotemporal Noise Triggering Infiltrative Tumor Growth under Immune Surveillance
Wei-Rong Zhong,Yuan-Zhi Shao,Li Li,Feng-Hua Wang,Zhen-Hui He
Quantitative Biology , 2008, DOI: 10.1209/0295-5075/82/20003
Abstract: A spatiotemporal noise is assumed to reflect the environmental fluctuation in a spatially extended tumor system. We introduce firstly the structure factor to reveal the invasive tumor growth quantitatively. The homogenous environment can lead to an expansive growth of the tumor cells, while the inhomogenous environment underlies an infiltrative growth. The different responses of above two cases are separated by a characteristic critical intensity of the spatiotemporal noise. Theoretical and numerical results present a close annotation to the clinical images.
Noise Correlation Induced Synchronization in a Mutualism Ecosystem
Wei-Rong Zhong,Yuan-Zhi Shao,Zhen-Hui He,Meng-Jie Bie,Dan Huang
Quantitative Biology , 2007,
Abstract: Understanding the cause of the synchronization of population evolution is an important issue for ecological improvement. Here we present a Lotka-Volterra-type model driven by two correlated environmental noises and show, via theoretical analysis and direct simulation, that noise correlation can induce a synchronization of the mutualists. The time series of mutual species exhibit a chaotic-like fluctuation, which is independent to the noise correlation, however, the chaotic fluctuation of mutual species ratio decreases with the noise correlation. A quantitative parameter defined for characterizing chaotic fluctuation provides a good approach to measure when the complete synchronization happens.
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