周期信号对受扰人工合成基因网络的影响

生命系统时刻受到各类信号的干扰,这些信号有些源于外界,有些源于细胞内部,既可能是周期信号,也可能是随机信号.过去几十年里,人们对噪音在生命体系中的积极作用进行了广泛研究,发现了生命体系中的随机共振现象.同时,对于生命系统的一些周期行为如生物钟等现象,研究者们从遗传学和动力学的角度进行了探索.随着生物信息学的发展,科学工作者们根据生命体系内的复杂动力学反应构建了一些生物模型和基因网络,给理论和实验工作者提供了更好的研究平台.我们将周期信号与噪音作为干扰信号,研究了基因调控系统对这些信号的反应.     

基于周期调节的随机共振算法对化学弱信号的检测研究

提出了一种新的随机共振算法,通过对系统的周期进行调节以实现系统的共振.讨论了实现共振的系统参数,并对模拟信号和拉曼光谱实验信号进行了处理.结果表明,该方法不仅可方便地用于弱化学信号的处理,克服检出信号的滞后现象,而且对不同噪声水平的信号均有良好的适用性.     

钙离子体系的振动双共振控制

研究了钙离子振荡体系在高、低两种不同频率信号作用下所产生的振动双共振(VBR)及其控制方法.结果表明:系统对低频信号响应的幅值随高频信号振幅的变化产生了振动双共振现象,并且低频信号的频率越低,振幅越大,系统通过振动双共振对微弱低频信号的放大倍数越大.体系离霍普夫(Hopf)分岔点的距离越近(控制参数域值越小),体系发生振动双共振所需要的最大高频信号幅值越往大的方向漂移,同时体系振动双共振的强度越小.细胞内钙波形成过程中的反馈机制对体系振动双共振的增强和减弱起着重要的作用,即正反馈机制对体系振动双共振强度起增强的作用,而负反馈机制却起减弱的作用.另外,体系中引入噪音所产生的随机共振不仅削弱振动双共振的强度而且还影响振动峰的个数,也发现存在极限噪音强度使体系产生不同的振荡行为,极限噪音强度之下,体系产生VBR现象,而极限噪音强度之上,体系则发生单峰振荡共振现象.     

细胞内钙离子体系中的双参数内信号随机共振

自从Benzi等于1981年提出随机共振(SR)现象以来,它已经受到物理、化学和生物学等领域的关注．SR是非线性体系中弱外信号和环境扰动之间的协同作用．后来胡岗等发现外信号可以由体系的内信号所代替,此时出现的SR被称为内随机共振(ISR)．通常对SR的研究都集中在外信号和噪音扰动参数上,如电压、电流和压力等．     

钙离子体系中隐式和显式内随机共振

近年来, 细胞内钙离子信号及其产生机理已成为研究热点之一, 这是因为钙离子信号能控制细胞的生死、 传递细胞间的信息、 提高基因表达的有效性和特殊性[^1~3]. 在钙离子信号传递过程中, 受环境扰动是不可避免的. Shuai等^[4]发现噪音能够控制钙离子通道中钙离子的释放. 在过去的十年中, 无论是物理、 化学还是生物体系^[5~10]的噪音效应已被广泛研究, 其中包括对随机共振(SR)的研究^[5], 经典SR是环境噪音能够放大弱的外加信号. 但随着研究的深入, 发现有无噪音SR^[11]和内SR(ISR) ^[6]. ISR的内信号来自噪音诱导的内信号, 这种SR现象叫隐式内SR(IISR). 而我们则发现了另外一种内SR, 即显式内SR(EISR) ^[12], 它的内信号是体系固有的内信号, 而不是由噪音诱导的. 本文主要研究加入外信号将对IISR和EISR产生的影响.     

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。     

化学振荡体系相干共振的诱导和增强

采用数值模拟的方法研究了乘性和加性噪音对化学振荡体系相干共振的影响作用. 结果表明, 乘性和加性噪音同时对体系进行调制时, 所得的相干共振强于只有其中一种噪音调制的共振; 相对于加性噪音而言, 体系能更好地利用乘性噪音来增宽使体系处于振荡状态的控制参数区域; 控制参数效应和噪音效应相比, 前者对体系相干共振的产生和增强起主要的影响作用. 另外, 当噪音增到临界强度时, 乘性和加性噪音分别对体系进行调制的动力学行为差异被湮没, 说明此时乘性和加性噪音对体系动力学行为的影响趋于一致.     

电氧化甲酸反应体系的随机共振调制

采用甲酸电氧化的反应模型对随机共振的调制进行了研究。反应模型中有驱动电流和CO的饱和覆盖率两个控制参量。当弱信号和噪声同时作用于驱动电流时,固定信号强度,体系输出的脉冲间隔分布可以在合适的噪声强度时最有序,表明出现了随机共振现象。对CO的饱和覆盖率施加周期性信号的作用可以对随机共振行为进行调制,调制的结果取决于调制信号的周期及初相位。     

表面等离子共振(SPR)——一种新型化学检测方法的原理

近年来,表面等离子共振(SPR)现象、由于在金属纳米材料研究以及在作为灵敏检测不同化学和生化物种信号的报告器方面有着特殊的应用价值,因而受到广泛的关注.本文较详细的介绍了表面等离子共振现象的形成机制,特别对如何利用本方法作为一种新型的物种检测报告器的有关问题做了较系统的讨论.     

一氧化碳催化氧化过程中噪声和信号的协同效应

在合适的条件下 ,噪声和信号同时输入非线性体系统 ,其响应规律可以表现出协同效应 ,这就是所谓的随机共振 ,其中噪声起到积极作用 :提高信噪比 ,增加弱信号可测性 .以一氧化碳催化氧化表面反应为例 ,通过线性稳定性分析方法 ,研究了系统的稳定性问题 ,以及体系对外加噪声和信号的调制响应 ;通过数值模拟发现 ,当体系处于狭窄的双稳态区 ,或化学振荡区边缘时 ,噪声可以诱发态 态转变 ,发生随机共振现象 ,表现出比一维体系更丰富的动力学特征 .     

Influences of a periodic signal on a noisy synthetic gene network

The effects of noise and a periodic signal on a synthetic gene network have been investigated. By tuning the distance of a parameter from the Hopf bifurcation point, both implicit internal signal stochastic resonance and explicit internal signal stochastic resonance can be induced by noise. Furthermore, a switch process can also be elicited. When a periodic signal is coupled to the gene network, two interesting phenomena occur with the modulation of the frequency of the signal: the effect of noise amplifyin...     

Two-Parameter Stochastic Resonance in a Model of Electrodissolution of Fe in H_2SO_4

IntroductionStochastic resonance (SR) is a nonlinear effect which describes the optimal detection of a weak periodic signal by the action of external noise in nonlinear systems. SR was originally proposed to account for periodicity in the Earth's ice ages1, and it has been observed in a wide range of biological2-4 , physical5 and chemical6 systems. The systems mentioned above which may give rise to SR have a denominator despite many examples of SR in different scientific areas. It is noted…     

Two-parameter stochastic resonance in a model of electrochemical oxidation of formic acid on Pt

Stochastic resonance (SR) is shown in a two-parameter system, a model of electrochemical oxidation of formic acid on Pt. The driving current and the saturation coverage for carbon monoxide are two control parameters in this model. Modulation of an excitable focal stable state close to a Hopf bifurcation by a weak periodic signal in one parameter and noise in the other parameter is found to give rise to SR. The results indicate that the noise can enlarge a weak periodic signal and lead the system to be ordered. The scenario and novel aspects of SR in this system are discussed.     

嘈杂小世界网络中的随机共振现象

以双稳态振荡器耦合而成的具有小世界拓扑结构的网络为研究对象,重点研究了该体系在周期弱信号和乘性高斯白噪声的共同作用下,振荡器之间的耦合强度与网络拓扑结构的无序度对于网络动力学行为的影响．结果显示噪声可以诱导产生随机共振现象,在适中的耦合强度下增加体系拓扑的无序度可以使整个体系的随机共振现象得到加强．另外,研究表明体系中存在着一组最优的耦合强度和拓扑无序度,在它们的协同作用下体系能够最有效地检测到外界的弱信号．     

Periodic and random perturbation of catalytic oxidation of CO

When a controllable input is modulated by noise and signal, the response of a nonlinear system may exhibit a synchronized effect, which is referred to as stochastic resonance(SR). With the help of noise, the detection of weak signal may become possible and its signal-to-noise ratio can be increased. A model to describe catalytic oxidation of CO on single crystal was adopted, and its stability was studied by linear analysis method. Through computer simulation, the responses under periodic and random perturbation were analyzed. Stochastic resonance behavior was found in a narrow bistable region, or near the oscillatory region. The results shows more characteristics than those of 1-dimensional system does.     

Transition probabilities for coherent multiphoton absorption processes

The feasibility of coherent multiphoton propagation effects such as two-photon self-induced transparency is examined by calculating the coherent transition probabilities for a multiphoton process. For a two-photon excitation of a three-level system, periodic probability functions are obtained which increase smoothly as the intermediate state approaches resonance with the radiation field. The results for a coherent multiphoton excitation of a multilevel system are an extension of Rabi's “strong signal theory” for a one-photon excitation of a two-level system.     

Frequency-selective response of periodically forced coupled FHN models via system size multi-resonance

We consider system of globally coupled FitzHugh-Nagumo (FHN) models; each element is subjected to a subthreshold periodic signal and independent Gaussian white noise. With the variation of the system size, the spike train of the mean field of the system fires according to the period of the subthreshold external signal or to the interior time scale of the FHN model. The influence of the coupling strength is also investigated. It only influences the response of the mean field to external signal. If two external signals are injected to the system simultaneously, the least-common-multiple periods or other common multiples may be selected by different system sizes.     

A compilation of infinite dilution resonance integrals,II

In this second part the list of resonance integrals is completed with 63 values for (n, γ) reactions mainly from the second part of the periodic system. The resonance integral for (n, fission) of²³⁵U is included as well as thermal and epithermal self-shielding curves for the elements Sm, Eu, Gd, Dy and Cd.     

IO3--AsO33-化学反应中的随机共振

通过计算机模拟,在IO3--AsO33-化学双稳体系中,对反应控制参量加入周期信号和高斯噪声,体系由于信号和噪声的作用发生上下态之间相互跃迁.计算输出时间序列的功率谱,发现信号在噪声的作用下被放大,在某一最佳噪声强度下,存在一个最大的信噪比输出,表现出随机共振的特征.