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.     

化学体系随机共振现象的理论研究

化学体系中随机共振现象的特性、机理、本质和应用的研究是非常重要的前沿课题。综述中国科学技术大学非线性化学实验室,在化学体系随机共振现象的理论研究中,所取得的主要成果,并阐述化学体系随机共振现象研究中所提出来的若干重要问题：非均相化学体系中随机共振;化学体系中内信号随机共振;化学体系中多重随机共振;化学体系中随机共振的调制;化学体系中色噪声作用下的随机共振;化学体系中时空随机共振;耦合化学体系中随机共振;化学体系中双参量随机共振。     

Pt(100)/NO+CO体系随机共振的理论研究

在远离平衡的条件下,NO在Pt(100)表面进行的催化还原反应表现出化学振荡和化学多稳态等复杂的动力学行为.利用Fink等提出的反应模型,通过计算机模拟对体系的控制参量进行周期调制和随机调制,在简单双稳区以及振荡与稳态的共存区,观察到随机共振(StochasticResonance:SR)现象.     

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。     

一种有效提取弱信号的新方法

随机共振 ( Stochastic Resonance,简称 SR)最初由 Benzi[1] 于 1 981年提出 ,并在气象学领域中得到了成功的应用 .根据随机共振理论 ,通过加噪声可在某一“共振”点处大幅度提高信号的信噪比 .这种方法也已成功地应用于方波脉冲信号的恢复 [2 ] ,但在化学信号中的应用尚属空白 .我们首次将这种方法用于化学弱信号的检测 ,并在简单喇曼谱图的解析中获得成功 [3 ] .但是 ,加噪声的方法作为一种有效的信号分析手段还显得很不成熟 .具体表现为处理过程较繁 ,分析信号的峰位偏移明显 ,而且结果在一定程度上要依赖人为判断来决定 [3 ] .　　在…     

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．     

液相卤化银纳米微粒的界面荧光和共振散射光谱特性

液相卤化银纳米微粒的共振散射光谱和发射光谱表明,AgCl和AgBr纳米微粒均在330,400,470和680nm处产生4个共振散射峰,在340,400和470nm处产生三个荧光峰．Ad纳米微粒在340,400,437,470和680nm处产生5个共振散射峰;除在340,400和470nm处产生3个荧光峰外,在434nm处有一最强的荧光峰．卤化银纳米微粒体系的浓度对共振散射信号的影响与浓度对荧光强度的影响一致,Aga,AgBr和AgI体系的共振散射光信号强度分别约为荧光信号的110,130和80倍,即荧光与共振散射之间存在相关性．提出了液相AgX纳米微粒荧光产生机理,解释了荧光与共振散射之间存在相关性的原因．     

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).     

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.     

随机扰动和周期信号对基因调控系统的影响

采用数值模拟方法,研究了生物信息学中人类遗传因子——基因的转录调控系统.研究表明:噪音对该系统的影响作用,体系可以出现内随机共振现象和噪音诱导的"开-关"过程;当周期信号加到系统上时,信号振幅和频率的改变能够使细胞信号产生更为丰富的动力学行为,如周期共振现象.     

Internal stochastic resonance under two-parameter modulation in intercellular calcium ion oscillations

Internal stochastic resonance (ISR) in a model of intercellular calcium ion oscillations is investigated under the modulation of two parameters, viz., degree of extracellular stimulation (beta) and leak rate (k(f)). ISR can occur when either beta or k(f) is subjected to a noise. Internal stochastic biresonance (ISBR) can occur when noise is added to the two parameters simultaneously. The distance to the bifurcation point is found to be able to enhance or suppress the ISBR, and to affect the number of peaks of ISR.     

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...     

Internal noise stochastic resonance in CO oxidation on nm-sized palladium particles

The constructive roles of noise and disorder in nonlinear system have been extensively studied in the last two decades. Among them the most well known phenomenon is stochastic resonance[1], which demon-strates that noise can help a nonlinear system to det…     

铂单晶电极表面不可逆反应动力学II 铂单晶（100）晶面电极上甲酸氧化反应动力学参数解析

The kinetics of electrooxidation of HCOOH on Pt(100) via reactive intermediates was studied by using programmed potential step technique, which avoided successfully the interference of self-poisoning. A new data processing method was established based on the transform of integration of digital data recorded in electrochemical transient experiments, and the computer software developed for this method allowed us to obtain quantitatively, for the first time, the kinetics parameters of HCOOH oxidation on Pt(100) electrode. The results demonstrated that in a narrow potential range of 0.02 V to 0.15 V, the rate constant kf being varied from 9.510 × 10-4 to 1.38 ×10-2cm•s- 1 and the relationship between ln(kf) and E being a straight line. The transfer coefficient (β) was calculated at 0.309, and the diffusion coefficient (D) of HCOOH in 5×10-3mol•L- 1 HCOOH + 0. 5mol•L- 1 H2SO4 solution was evaluated at 1.80 × 10-5 cm2•s-1.     

Enhancement of stochastic oscillations by colored noise or internal noise in NO reduction by CO on small platinum surfaces

In this paper, based on the stochastic model of NO reduction by CO on Pt crystal surfaces and taking Gaussian colored noise as external fluctuations of the NO partial pressure, we study the effect of the colored noise on the internal noise-induced stochastic oscillations (INSOs) and the effect of internal noise on the colored noise-induced stochastic oscillations (CNSOs). It is found that the INSO can be enhanced by the colored noise with appropriate correlation time or noise strength and, interestingly, the CNSO can be enhanced by the internal noise as well and, moreover, the enhanced CNSO can reach the best oscillatory states repetitively via proper internal noises. This effect of the internal noise is different from its effect on the stochastic oscillations induced by the external Gaussian white noise, which probably results from the interaction of the correlated colored noise and the internal noise.     

Influence of weak and strong donor groups on the fluorescence parameters and the intersystem crossing rate constant

The absorption and fluorescence properties of 35 specially selected methyl and stronger donor substituted benzene, naphthalene, biphenyl, anthracene and 2-azaanthracene compounds are studied experimentally (at 293 K) and quantum chemically. The fluorescence quantum yields, gamma, and decay times, tauf, for deaerated and non-deaerated solutions are measured. The oscillator strength, fe, natural lifetime, tauf 0 and fluorescence and intersystem crossing rate constants, kf and kST, are calculated for each compound. The orbital nature of the lowest excited singlet state, S1, is determined. The investigation shows that the introduction of methyl groups onto aromatic compounds may produce different effects. The symmetry and hence kST and kf may change. As a result, gamma will also change. Steric hindrance, possibly due to the CH3 group, will decrease kf while increasing kST. In cases where the introduction of the methyl group leaves the symmetry unchanged, there is a slight increase in kST and a slight decrease in kf. This effect is cumulative (more CH3 groups lead to a greater decrease in gamma) and can be explained by the torsional vibrations of the methyl groups. The introduction of strong donor groups usually produces dramatic changes. kST always increases, as does kf and the increase in kf is usually greater. Hence, gamma usually increases, sometimes dramatically. The nature of the S1 state changes from pipi* (for an aromatic molecule) to pil,pi*. There are three reasons for the observed increase in kST: (i) a decrease in symmetry; (ii) the internal heavy atom effect; and (iii) an improved mixing of the S(1pil,pi*) state with Ti states. It is also found that, in many cases, the effect of methyl and stronger donor groups on the fluorescence parameters and kST depends on the position of substitution, as well as changes in the molecular symmetry. The substituent groups have different effects on the p- and alpha-bands. The fluorescence parameters obtained and trends observed may be useful for different theoretical and practical purposes.     

Internal noise stochastic resonance in NO reduction by CO on platinum surfaces

We have studied the roles of internal noise in the oscillatory reaction kinetics during NO reduction by CO on low-index single crystal platinum surfaces using the chemical Langevin equation and the Poisson approximation algorithm. Considering that the surface is divided into small well-mixed cells, we have focused on the dynamical behavior inside a single cell. It is found that internal noise can induce rate oscillations and the performance of the stochastic rate oscillations undergoes a maximum with the variation of internal noise level for a given NO partial pressure, demonstrating the occurrence of internal noise stochastic resonance. Such a phenomenon is robust to the change of external parameters, such as NO pressures. Interestingly, it is also found that internal noise noticeably alters the oscillatory waveform and, hence, the reaction activity and oscillation signal intensity, but it nearly does not change the global reaction rate.     

Theoretical study on the effects of internal noise for rate oscillations during CO oxidation on platinum(110) surfaces

Very recently, the effects of internal molecular noise in mesoscopic chemical reaction systems have gained growing attention. Using a mesoscopic stochastic model, the effect of internal noise for rate oscillation during CO oxidation on Pt(110) surface is studied analytically. In a parameter region outside but close to the supercritical Hopf bifurcation, a stochastic normal form is obtained from the chemical Langevin equation. By stochastic averaging procedure, the system is simplified and solvable. Noise-induced oscillation and internal noise coherent resonance (which is related to an optimal system size), observed from simulations, are well reproduced by the theory. The theoretical analysis helps to clearly figure out when and how the internal noise affects the system's oscillating dynamics.     

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.     

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.