细胞体系中内噪声对弱信号检测的积极作用

在小尺度的生物化学反应体系中内噪声是普遍存在的,本文采用化学Langevin方程研究了细胞体系中内噪声对弱信号检测的作用. 研究发现, 在Hopf分岔点附近, 当弱信号非常小以至于不能独立地激发细胞内的钙尖峰振荡时, 内噪声能够帮助细胞内的钙振荡信号越过一个域值, 并且在一个最佳的内噪声强度下, 内噪声、内噪声诱导的钙振荡和弱信号之间会产生共振现象, 由此极大地增强了细胞体系对弱信号的检测能力. 由于内噪声是通过细胞尺度变化而改变的, 因此这种现象也说明了在对弱信号检测行为中最佳细胞尺度的存在. 研究还发现最佳的细胞尺度与真正的细胞体积是相吻合的, 并且基本不随外界刺激的改变而改变, 这具有重要的生物学意义.     

介观振荡化学反应体系的内噪声随机共振

用化学Langevin方程研究了内噪声对介观振荡化学反应体系的影响.研究发现,在确定性体系处于定态条件下,内噪声可以导致体系振荡:随着内噪声强度的变化,诱导振荡信号的信噪比通过一个极大值,表明内噪声随机共振的出现;由于内噪声强度随着系统体积的变化而改变,因此,这一现象也证明了系统尺度共振,即最佳尺度效应的存在.     

内噪声作用下的随机共振算法对弱信号的检测

基于随机共振理论提出了一种简便、有效地检测弱信号的方法。在内噪声协同作用下，通过调节输入噪声信号的大小能较好地提高系统输出信号的信噪比，从而实现检测背景噪声很强的弱信号的目的。应用于模拟信号和实验信号的结果证明了方法是可行的。     

自催化三分子模型内噪声随机共振

The stochastic resonance in chemical reaction systems has recently attracted growing attentions. Using chemical Langevin equation,the effect of internal noise has been studied on the dynamical behavior of a single and a one-way coupled cubic autocatalator. For the single system,it is found that the internal noise can induce sustained oscillations,and the signal-to-noise ratio（SNR）undergoes a maximum with the variation of the system size. For the coupled system,the SNR passes through a maximum with changing coupling strengths as well as with changing system sizes,which demonstrates the occurrence of the internal noise stochastic resonance（INSR）and optimal size effect. In the presence or absence of influx into the system,the coupling enhanced or suppressed INSR is found in the coupled system. All cells of the coupled system appear to exhibit INSR at an approximately equal size at a suitable coupling strength,implying that the optimal system size and coupling strength can make the system reach an optimal chemical reaction state.     

纳米尺度钯粒子表面一氧化碳氧化反应内噪声随机共振

在随机模型的基础上, 运用化学Langevin 方程、Poisson近似和精确随机模拟方法, 研究了内噪声对纳米(nm)尺度钯(Pd)粒子表面上一氧化碳(CO)催化氧化反应的影响. 在这类介观体系中, 由于显著内噪声的存在, 化学反应速率振荡具有随机性. 研究发现, 对于给定的CO偏压, 随着内噪声强度的改变, 随机振荡强度经过一个极大值, 从而证明了内噪声随机共振的存在. 这一现象表明, 合适的内噪声有利于反应速率振荡. 这种内噪声随机共振行为对外界参数(如CO偏压)具有稳定性(robust).     

耦合生物细胞体系中噪声诱导钙信号的传递和增强

Dynamics of calcium oscillation in a coupled cell system is discussed. It shows that when one end of the cell chain is perturbed by noise, the signal induced by noise can propagate along a linearly coupled cell chain with considerable enhancement, a rather ordered internal signal can be obtained on the other end, and the signal itself can also be enhanced. The effects of coupling constant, noise intensity and coupling means on the propagation of the signal are investigated. It is found that there exist an optimal coupling constant and noise intensity in favor of the signal propagation. What′s more, a qualitative explanation via the signal and the noise background is given. And the one way coupling is better for the signal propagation and enhancement than for the two way coupling. The results may have important applications in living cell systems, where information is transmitted along a cell chain.     

强噪声背景中微弱信号检测的初步研究

为了提高信噪比,以往大都设法滤除噪声。根据随机共振理论,本文对用添加噪声来提高测量信号信噪比的方法进行了初步的尝试,并将此方法应用于强噪声背景中微弱信号的检测,得出了一些有意义的初步结构。     

SERS纳米探针对电刺激过程中细胞内产生活性氧的检测

电刺激是用于细胞内紊乱电活动引起疾病的一类重要治疗方式. 在电刺激过程中是否会诱导细胞内活性氧(ROS)水平的改变, 以及常规抗氧化抑制药物与电刺激治疗同时运用带来的影响, 目前尚未有相关研究. 本文设计了一种具有较好生物相容性的金/银核壳纳米棒表面增强拉曼(SERS)活性探针, 用于电刺激过程中细胞内产生ROS的检测. 将该探针与细胞共孵育, 使其内化入细胞, 对细胞进行不同时间的电刺激, 利用拉曼光谱对SERS探针的信号进行检测. 实验结果表明, 随着电刺激时间的延长, SERS信号减弱, 说明细胞内产生ROS的量明显增加. 该传感机制是利用ROS能刻蚀金/银核壳纳米棒的银壳, 从而使其变薄引起SERS信号减弱. 抗坏血酸(AA)和谷胱甘肽(GSH)两种抗氧化抑制剂类药物与电刺激同时运用时, 可观察到它们会对电刺激过程产生的ROS有清除作用. 该研究发展了一类用于细胞内ROS检测的光谱方法, 也为异常的氧化应激和肿瘤治疗过程中的组合用药提供了建议.     

受高斯白噪声影响的有限化学反应体系的随机热力学——外噪声对化学反应体系影响的有效热力学量度

通过分析噪声对跃迁概率的不同影响,借助Novikov定理及MSR理论,建立了受多源白噪声影响的有限化学反应体系的有效主方程及有效熵平衡方程,导出非平衡定态时这类噪声体系熵产生的一般表达式,揭示涨落熵产生的统计内涵及噪声贡献,并针对非宏观量级的外噪声,借助扰动按分布参数分离法及有效主方程的Kramers-Moyal展开,进一步对简单加合性噪声建立了非平衡定态宏观稳定性判据的随机模拟,论证了噪声对化学反应体系定态稳定性的弱化作用.     

噪声在非线性化学体系中作用的研究现状*

本文综述了噪声的种类、来源、统计性质、作用机制和在不同体系中噪声诱导的丰富的非线性的动力学行为, 重点叙述了噪声在非线性化学体系中的重要作用及其应用。     

Constructive Role of Internal Noise for the Detection of Weak Signal in Cell System

Taking into account the existence of internal noise in small scale biochemical reaction systems, we studied how the internal noise would influence the detection of weak external signal in the cell system using chemical Langevin equation. The weak signal was too small to, separately, fire calcium spikes for the cell. We found that, near the Hopf bifurcation point, the internal noise could help the calcium oscillation signal cross a threshold value, and at an optimal internal noise level, a resonance occurred among the internal noise, the internal noise-induced calcium oscillations, and the weak signal, so as to enhance intensively the ability of the cell system to detect the weak signal. Since the internal noise was changed via the cell size, this phenomenon demonstrated the existence of an optimal cell size for the signal detection. Interestingly, it was found that the optimal size matched well with the real cell size, which was robust to external stimulus, this was of significant biological meaning.     

System Size Resonance Associated with Canard Phenomenon in a Biological Cell System

The influence of internal noise on the calcium oscillations is studied. It is found that stochastic calcium oscillations occur when the internal noise is considered, while the corresponding deterministic dynamics only yields a steady state. Also, the performance of such oscillations shows two maxima with the variation of the system size, indicating the occurrence of system size resonance. This behavior is found to be intimately connected with the canard phenomenon. Interestingly, it is also found that one of the optimal system sizes matches well with the real cell size, and such a match is robust to the variation of the control parameters.     

阳极溶解电化学振荡体系中白噪声诱导随机共振的模拟

通过对电化学阳极溶解振荡模型加白噪声后引发的随机共振现象的模拟研究发现,在该体系的周期二振荡态时呈现显性内信号随机共振现象。当白噪声加在该电化学体系的周期二振荡态时,内信号的信噪比随着噪声的增大达到了最大值。同样噪声强度情况下,强信号的信噪比增加比弱信号的增加更加迅速。如果同时改变噪声强度,体系的信号频率也维持不变。研究表明,噪声对内信号的优化具有选择性,而体系的内信号也具有抵抗噪声和维持内在机制不变的性质。