非线性高阶阻尼时滞微分方程的振动定理

研究具有阻尼项的非线性时滞微分方程,给出了使得方程的一切解振动的两个充分条件.一些实例说明,本文的结果在判定非线性阻尼方程的振动性时较文献中的结果更为有效.     

具有可变时滞的非自治离散Logistic方程的全局吸引性

得到了具有可变时滞的非自治离散Logistic方程的正解收敛于方程的正平衡常数的一系列充分条件和振动准则．     

具有可变时滞的高阶非自治中立型差分方程的振动性

研究具有可变时滞的高阶非自治中立型差分方程△~m(X_n-cx_(n-k)) h(n,x_(n-l_n))=0 (n=0,1,2,...)的振动性．利用Banach空间的压缩映象原理,得到了这类差分方程振动的必要条件．利用偏序集中的Knaster不动点定理,得到了这类方程振动的充分必要条件．同时得到了这类差分方程存在最终正解的准则．     

肌肉收缩及自发振动的动力学理论

改变实验条件,肌纤维可发生从收缩到自发振动的相变。为了研究这一现象,引进了描述肌纤维内部弹性成分拉伸长度与张力关系的表达式,利用肌肉态方程并考虑肌纤维的特殊结构,给出了描述肌纤维收缩及自发振动的统一动力学方程。从动力学方程出发,肌纤维自发振动的发生条件得到了自然解释,所给出的振动周期和振动曲线同实验结果相符,并给出了一些新的理论结果。这一工作的意义在于,完成了从肌球蛋白单分子性质、肌纤维组织结构到肌纤维功能的信息整合。     

含非线性扩散项的脉冲双曲型方程的振动性分析

研究一类含非线性扩散项和脉冲效应的双曲型方程的振动性,利用脉冲微分不等式技巧,建立了该类方程在Dirichlet边值条件下所有解振动的充分条件.结论充分表明振动是由脉冲效应引起的.     

一种非线性泛函微分方程振动性

讨论一类二阶非线性泛函微分方程的解的振动性质,建立了方程的振动性定理,在一定条件下,建立了几个新的振动性定理.     

具有连续变量的多时滞二阶非线性中立型差分方程的振动性

用分析的方法研究了一类具有连续变量的多时滞二阶非线性中立型差分方程解的振动性,给出了该类方程解振动和差分算子振动的几个充分条件.     

家鸽Herbst小体对振动的反应特征

鸟类的Herbst小体是一种形态特殊的感觉性神经末梢器官.本文利用电生理学方法,研究了家鸽腿部胫骨-腓骨之间的Herbst小体对振动刺激的反应特征.这种小体对振动刺激非常敏感,当振动频率在600—800赫时,它们有反应的最低阈值约为0.3微米.不同的Herbst小体的反应阈值与频率的关系曲线表明:这种小体具有明显的带通滤波的特征,对振动反应的最佳频率范围为400—1000赫.在适宜频率、超阈值强度的振动刺激下,Herbst小体能以1:1的方式作出反应,即相对于每次正弦波振动刺激都有一个锁相的神经脉冲产生.在背根脊神经节内的细胞外记录表明:对振动敏感的神经节细胞具有和Herbst小体完全相似的反应特征.     

带超前项的二阶脉冲中立型积分微分方程解的存在性(英文)

应用不动点定理,研究了带超前项的二阶脉冲中立型积分微分方程解的存在性,建立了两个存在准则,并举例说明了准则的有效性.     

高阶混合中立型差分方程的振动性质

研究了一类高阶混合中立型差分方程的振动性质,得到了这类差分方程的振动判据.     

Regulation Mechanisms of Stomatal Oscillation

Stomata function as the gates between the plant and the atmospheric environment. Stomatal movement, including stomatal opening and closing, controls CO2 absorption as the raw material for photosynthesis and water loss through transpiration. How to reduce water loss and maintain enough CO2 absorption has been an interesting research topic for some time. Simple stomatal opening may elevate CO2 absorption, but, in the meantime, promote the water loss, whereas simple closing of stomatal pores may reduce both water loss and CO2 absorption, resulting in impairment of plant photosynthesis. Both processes are not economical to the plant. As a special rhythmic stomatal movement that usually occurs at smaller stomatal apertures, stomatal oscillation can keep CO2 absorption at a sufficient level and reduce water loss at the same time, suggesting a potential improvement in water use efficiency. Stomatal oscillation is usually found after a sudden change in one environmental factor in relatively constant environments. Many environmental stimuli can induce stomatal oscillation. It appears that, at the physiological level, feedback controls are involved in stomatal oscillation. At the cellular level, possibly two different patterns exist： （i） a quicker responsive pattern; and （ii） a slower response. Both involve water potential changes and water channel regulation, but the mechanisms of regulation of the two patterns are different. Some evidence suggests that the regulation of water channels may play a vital and primary role in stomatal oscillation. The present review summarizes studies on stomatal oscillation and concludes with some discussion regarding the mechanisms of regulation of stomatal oscillation.     

动态神经元网络模型的复杂性问题

在动态神经元网络模型中,当神经元总数仅为３时就观察到了非周期振荡。运用Ｌｅｍｐｅｌ和Ｚｉｖ提出的复杂性度量对这种现象进行了分析,结果表明对于其中一个神经元所发出的脉冲序列来说,至少直到１０００个脉冲为止还不能发现任何的周期性,并且其复杂性可以和由ｌｏｇｉｓｔｉｃ映射所产生的时间序列当其参数落在混沌区中时所具有的复杂性相比拟．这些结果也表明这种方法是所观察的时间范围内区分长周期振荡和非周期活动的好方法。结果还提示神经生理实验记录中所谓的噪声,其中有些可能是来源于生物神经元本身的非线性性质。     

Regulation Mechanisms of Stomatal Oscillation

Stomata function as the gates between the plant and the atmospheric environment. Stomatal movement, including stomatal opening and closing, controls CO2 absorption as the raw material for photosynthesis and water loss through transpiration. How to reduce water loss and maintain enough CO2 absorption has been an interesting research topic for some time. Simple stomatal opening may elevate CO2 absorption,but, in the meantime, promote the water loss, whereas simple closing of stomatal pores may reduce both water loss and CO2 absorption, resulting in impairment of plant photosynthesis. Both processes are not economical to the plant. As a special rhythmic stomatal movement that usually occurs at smaller stomatal apertures, stomatal oscillation can keep CO2 absorption at a sufficient level and reduce water loss at the same time, suggesting a potential improvement in water use efficiency. Stomatal oscillation is usually found after a sudden change in one environmental factor in relatively constant environments. Many environmental stimuli can induce stomatal oscillation. It appears that, at the physiological level, feedback controls are involved in stomatal oscillation. At the cellular level, possibly two different patterns exist: (i) a quicker responsive pattern; and (ii) a slower response. Both involve water potential changes and water channel regulation, but the mechanisms of regulation of the two patterns are different. Some evidence suggests that the regulation of water channels may play a vital and primary role in stomatal oscillation. The present review summarizes studies on stomatal oscillation and concludes with some discussion regarding the mechanisms of regulation of stomatal oscillation.     

A synaptic modification algorithm in consideration of the generation of rhythmic oscillation in a ring neural network

In consideration of the generation of bursts of nerve impulses (that is, rhythmic oscillation in impulse density) in the ring neural network, a synaptic modification algorithm is newly proposed. Rhythmic oscillation generally occurs in the regular ring network with feedback inhibition and in fact such signals can be observed in the real nervous system. Since, however, various additional connections can cause a disturbance which easily extinguishes the rhythmic oscillation in the network, some function for maintaining the rhythmic oscillation is to be expected to exist in the synapses if such signals play an important part in the nervous system. Our preliminary investigation into the rhythmic oscillation in the regular ring network has led to the selection of the parameters, that is, the average membrane potential (AMP) and the average impulse density (AID) in the synaptic modification algorithm, where the decrease of synaptic strength is supposed to be essential. This synaptic modification algorithm using AMP and AID enables both the rhythmic oscillation and the non-oscillatory state to be dealt with in the algorithm without distinction. Simulation demonstrates cases in which the algorithm catches and holds the rhythmic oscillation in the disturbed ring network where the rhythmic oscillation was previously extinguished.     

Water Channels Are Involved in Stomatal Oscillations Encoded by Parameter-Specific Cytosolic Calcium Oscillations

Earlier studies have shown that various stimuli can induce specific cytosolic calcium （[Ca^2＋]cyt） oscillations in guard cells and various oscillations in stomatal apertures. Exactly how [Ca^2＋]cyt oscillation signaling functions in stomatal oscillation is not known. In the present study, the epidermis of broad bean （Vicia faba L.） was used and a rapid ion-exchange treatment with two shifting buffers differing in K^＋ and Ca^2＋ concentrations was applied. The treatment for fivetransients at a 10-min transient period induced clear and regular stomatal oscillation. However, for other transient numbers and periods, the treatments induced some Irregular oscillations or even no obvious oscillations in stomatal aperture. The results indicate that stomatal oscillation Is encoded by parameter-specific [Ca^2＋]cyt oscillation： the parameters of [Ca^2＋]cyt oscillation affected the occurrence rate and the parameters of stomatal oscillation. The water channel inhibitor HgCl2 completely Inhibited stomatal oscillation and the inhibitory effect could be partially reversed by β-mercaptoethanol （an agent capable of reversing water channel inhibition by HgCl2）. Other Inhibitory treatments against Ion transport （i.e. the application of LaCIs, EGTA, or tetraethylammonlum chloride （TEACI）） weakly impaired stomatal oscillation when the compounds were added after rapid ion-exchange treatment. If these compounds were added before rapid-ion exchange treatment, the inhibitory effect was much more apparent （except In the case of TEACI）. The results of the present study suggest that water channels are involved In stomatal oscillation as a downstream element of [Ca^2＋]cyt oscillation signaling.     

Numerical simulation of collapsible-tube flows with sinusoidal forced oscillations

Collapsible-tube flow with self-excited oscillations has been extensively investigated. Though physiologically relevant, forced oscillation coupled with self-excited oscillation has received little attention in this context. Based on an ODE model of collapsible-tube flow, the present study applies modern dynamics methods to investigate numerically the responses of forced oscillation to a limit-cycle oscillation which has topological characteristics discovered in previous unforced experiments. A devil's staircase and period-doubling cascades are presented with forcing frequency and amplitude as control parameters. In both cases, details are provided in a bifurcation diagram. Poincaré sections, a frequency spectrum and the largest Lyapunov exponents verify the existence of chaos in some circumstances. The thin fractal structure found in the strange attractors is believed to be a result of high damping and low stiffness in such systems.     

Intraluminal pressure oscillation enhances subsequent airway contraction in isolated bronchial segments.

A period of deep inspiration in humans has been shown to attenuate subsequent bronchoconstriction, a phenomenon termed bronchoprotection. The bronchoprotective effect of deep inspiration may be caused though a depression in the force production of airway smooth muscle (ASM). We determined the response of whole airway segments and isolated ASM to a period of cyclic stretches. Isovolumetric contraction to electrical field stimulation (EFS) was assessed in porcine bronchial segments before and after intraluminal pressure oscillation from 5 to 25 cmH(2)O for 10 min at 0.5 Hz. Morphometry showed that this pressure oscillation stretched ASM length by 21%. After pressure oscillation, the response to EFS was not reduced but instead was modestly enhanced (P < 0.01). Airway responses to EFS returned to preoscillation levels 10 min after the end of oscillation. The increase in EFS response after pressure oscillation was not altered by the addition of indomethacin. In a separate experiment, we assessed isometric force in isolated ASM strips before and after length oscillation. The amplitude, frequency, and duration of length oscillation were similar to those induced in bronchial segments. In contrast to bronchial segments, length oscillation of ASM produced a significant depression in isometric force induced by EFS (P < 0.01). These results suggest that the response of ASM to length oscillation is modified by the airway wall. They also suggest that the phenomenon of bronchoprotection reported in some in vivo studies may not be an intrinsic property of the airway.     

Group-theory classification of oscillations of plasma clusters

Normal oscillations of three-dimensional configurations of dust grains trapped in a spherically symmetric potential well are studied. All possible oscillations of a system consisting of 7–13 grains are classified in terms of group theory. For a Coulomb interaction potential, all the oscillation frequencies are calculated. The frequencies and polarizations of some oscillation modes are obtained for an arbitrary interaction potential.     

藜芦碱致使大鼠背根神经节A类神经元产生触发性振荡

在大鼠L5背根节浸浴钠通道失活门阻断剂藜芦碱（veratridine),记录该背根节神经元A类单纤维传入放电。发现：浸浴藜芦碱（1．8－3μmol/L）10min后,触压皮肤感受野或刺激坐骨神经引起部分静息纤维产生高频放电,其放电峰峰间期（interspike interval,ISI)形成U字形等型式的振荡,称之为触发性振荡。刺激脉冲的间隔越大,触发该振荡所需要的刺激脉冲数也就越多;不同时程和形式的刺激引起触发性振荡的形式无明显差异;触发性振荡的后抑制时期一般为30－90s。另外,实验还观察到该触发性振荡可由同一神经刺激引起的传入冲动触发。上述结果表明,用黎芦碱处理可使初级感觉神经元产生一种触发性振荡,该振荡机制可能与触发病的发作有关。