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.     

高阶线性泛函方程解的振动性

考虑一类高阶线性泛函方程解的振动性,我们获得一些新的振动准则.这些振动准则,推广或改进了一些文献中的某些结果.     

具有时滞的北美鹑增长模型的振动性和全局吸引性

本文研究了离散Ｂｏｂｗｈｉｔｅ Ｑｕａｉｌ模型的振动性和全局吸引性．获得了该方程的一切解关于正平衡常数Ｎ＝振动的充分条件以及其所有正解趋近于正平衡常数Ｎ的充分条件．     

含扩散和时滞的偏微分方程解的振动性

研究一类含扩散和时滞的偏微分方程解的振动性,利用平均法,通过使用偏泛函微分方程上、下解思想和泛函微分方程振动性理论,获得了其解的非负性和关于正平衡态振动的充分条件．     

一类Nicholson''s blowflies模型的全局吸引性和振动性

本文研究了带有多个滞后变量的Ｎｉｃｈｏｌｓｏｎ’ｓ ｂｌｏｗｆｌｉｅｓ动态模型Ｎ（ｔ）＝－δＮ（ｔ）＋ΣＰｉＮ（ｔ-τｉ）ｅ-ａｉＮ（ｔ-τｉ）的全局吸引性和振动性,获得了该方程的正平衡解为全局稳定的充分条件以及其所有正解关于该平衡解振动的充分条件．     

非自治时滞Logistic方程的振动性

本文研究了时滞Logistic方程和它的线性化方程的振动性。在一定的条件下,我们证明了这两个方程在振动性上等价．所得结果推广和改进了〔1〕的相应结果,同时也给〔2〕的作者提出的问题一个肯定的回答．     

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.     

非线性脉冲中立型时滞抛物方程组解的振动性

讨论一类非线性脉冲中立型时滞抛物方程组解的振动性,利用一阶脉冲中立型微分不等式给出了该类方程组在Robin,Dirichlet边界条件下所有解振动的若干充分条件．所得结果充分反映了脉冲和时滞在振动中的影响作用．     

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.     

带有扩散的Logistic时滞生态模型的振动性

本文研究了带有扩散的Logistic时滞生态模型的振动性。通过利用极值原理和上、下解方法,给出了系统所有解振动的充分条件,该结果显著地改进并推广了Gopalsamy,Zhang和Wei等人的结果。     

ChTX induces oscillatory contraction in guinea pig trachea: role of cyclooxygenase-2 and PGE2

We examined the possible role of cyclooxygenase (COX) in charybdotoxin (ChTX)-induced oscillatory contraction in guinea pig trachea. Involvement of prostaglandin E(2) (PGE(2)) in ChTX-induced oscillatory contraction was also investigated. ChTX (100 nM) induced oscillatory contraction in guinea pig trachea. The mean oscillatory frequency induced by ChTX was 10.7 +/- 0.8 counts/h. Maximum and minimum tensions within ChTX-induced oscillatory contractions were 68.4 +/- 1.8 and 14.3 +/- 1.7% compared with K(+) (72.7 mM) contractions. ChTX-induced oscillatory contraction was completely inhibited by indomethacin, a nonselective COX inhibitor. Valeryl salicylate, a selective COX-1 inhibitor, did not significantly inhibit this contraction, whereas N-(2-cyclohexyloxy-4-nitro-phenyl)-methanesulfonamide, a selective COX-2 inhibitor, abolished this contraction. Exogenously applied arachidonic acid enhanced ChTX-induced oscillatory contraction. SC-51322, a selective PGE receptor subtype EP(1) antagonist, significantly inhibited ChTX-induced oscillatory contraction. Exogenously applied PGE(2) induced only a slight phasic contraction in guinea pig trachea, but PGE(2) induced strong oscillatory contraction after pretreatment with indomethacin and ChTX. Moreover, ChTX time-dependently stimulated PGE(2) generation. These results suggest that ChTX specifically activates COX-2 and stimulates PGE(2) production and that ChTX-induced oscillatory contraction in guinea pig trachea is mediated by activation of EP(1) receptor.     

Electron-oscillatory spectra of pyrimidine bases of nucleic acids in argon matrices

The studies on the oscillatory structure of adsorption spectra of pyrimidine bases of nucleic acids isolated in Ar matrix at 11 K are described. To clear up the importance of molecule isolation in the matrix, amorphous films of the materials studied were investigated experimentally at 11 and 77 K. The work was carried out using the low temperature optic attachment developed by the authors. The long wavelength band of cytosine and deuterocytosine in the matrix is shown to consist of two bands: 1) lambda max = 267 nm with oscillatory progressions of 500 and 400 cm-1, respectively, and 2) lambda max = 280 nm with progression approximately 800 cm-1. The first pi pi*-absorption band of 1-methylcytosine has a single oscillatory progression 470 cm-1. Thymine and uracil in Ar matrices form diffuse structural spectra of 630 and 660 cm-1, respectively. The oscillatory progressions are attributed to the oscillatory frequencies of the pyrimidine molecule ring oscillations in the excited state. The annealing of the matrix results for all the materials in smearing the oscillatory molecule structure up to its complete vanishing. In film samples the oscillatory structure is not seen at low temperatures.     

Rhythm of the beta-cell oscillator is not governed by a single regulator: multiple systems contribute to oscillatory behavior

Pulsatile insulin output, paralleled by oscillations in intracellular Ca(2+), reflect oscillating metabolism within beta-cells in response to secretory fuels. Here we question whether oscillatory periodicity is conserved or varied from stimulation to stimulation, whether glycolysis is essential for the manifestation of an oscillatory response, and if an environment of nutrient oversupply affects oscillatory regularity. We have determined that a beta-cell oscillatory Ca(2+) pattern is independent of the type of applied secretory fuel (glucose, methyl-pyruvate, or alpha-ketoisocaproate). In addition, single cells respond with the same pattern when repeatedly stimulated, regardless of the type of stimulatory fuel. Presence of substimulatory glucose is not necessary to obtain an oscillatory responses to methyl-pyruvate or alpha-ketoisocaproate. Glucose-6-phosphate, as a measure of glycolytic flux, is not detectable under these conditions. These data suggest that multiple systems, rather than a single enzyme component, can contribute to the beta-cell oscillatory behavior. Prolonged exposure to high levels of palmitate impaired oscillatory regularity in the individual beta-cells. This supports the hypothesis that a high-fat environment might contribute to loss of regular oscillatory pattern in diabetic subjects, acting, at least in part, at the level of the single beta-cell.     

Transmission of the Subthalamic Nucleus Oscillatory Activity to the Cortex: A Computational Approach

Parkinsonian tremor is most likely due to oscillatory neuronal activities of central oscillators such as the subthalamic nucleus (STN)-external segment of the globus pallidus (GPe) pacemaker within the basal ganglia (BG). Activity from the central oscillator is proposed to be transmitted via transcortical pathways to the periphery. A computational model of the BG is proposed for simulating the transmission of the STN oscillatory activity to the cortex, based closely on known anatomy and physiology of the BG. According to the results of the simulation, for transmission of the STN oscillatory activity to the cortex, the STN oscillatory activity has to be transmitted simultaneously to the thalamus via STN-internal segment of the globus pallidus (GPi)-thalamus and STN-GPe-GPi-thalamus pathways. This transmission is controlled by the various factors such as the phase between the STN and GPe oscillatory activities, the STN oscillatory activity frequency, the low-threshold calcium spike bursts of the thalamus and the GPi spontaneous activity.     

Augmentation of axial dispersion by intermittent oscillatory flow.

The efficiency of axial gas dispersion during ventilation with high-frequency oscillation (HFO) is improved by manipulating the oscillatory flow waveform such that intermittent oscillatory flow occurs. We therefore measured the velocity profiles and effective axial gas diffusivity during intermittent oscillatory flow in a straight tube to verify the intermittency augmentation effect on axial gas transfer. The effective diffusivity was dependent on the flow patterns and significantly increased with an increase in the duration of the stationary phase. It was also found that the ratio of effective diffusivity to molecular diffusivity is two times greater than that in sinusoidal oscillatory flow. Moreover, turbulence during deceleration or at the beginning of the stationary phase further augments axial dispersion, with the effective diffusivity being over three times as large, thereby proving that the use of intermittent oscillatory flow effectively augments axial dispersion for ventilation with HFO.     

Response of continuous cultures to stimuli in glucose feed rate and dilution rate

The response of continuous cultures of yeast was investigated following step disturbances in glucose feed rate and dilution rate. The responses of the culture to the stimuli were oscillatory. The oscillatory responses were explained in terms of cell synchrony which was induced by the step change. An understanding of continuous cultures to stimuli was made possible with an appreciation of the inherently oscillatory events occurring in the single cell cycle between one mitosis and the next. Step changes in glucose feed rate and dilution rate induced a partial synchrony, which enabled the inherently oscillatory behavior of the individual cells to be made observable in the culture as a whole.     

Ca2+-activated K+ channel blockers induce PKC modulated oscillatory contractions in guinea pig trachea

Mechanisms underlying the Ca2+-activated K+ channel (K(Ca)) blockers-induced oscillatory contractions were investigated in guinea pig tracheal smooth muscle. The mean oscillatory frequencies induced by charybdotoxin (ChTX; 100 nM) and iberiotoxin (IbTX; 100 nM) were 9.8+/-0.8 (counts/h) and 8.0+/-1.3 (counts/h), respectively. Apamin (1 microM ), a blocker of SK(Ca), induced no contraction in guinea pig trachea and did not affect ChTX-induced oscillatory contractions. In Ca2+ free solution, no ChTX-induced contraction was observed. Nifedipine (100 nM), a blocker of voltage-dependent Ca2+ channels, and SK&F 96365 (10 microM), a blocker of capacitative Ca2+ entry, completely abolished ChTX-induced oscillatory contractions. Ryanodine (1 microM) decreased the amplitude, but increased the frequency of the oscillatory contractions. Thapsigargin (1 microM) changed contractions from the oscillatory type to the sustained type. Moreover, the protein kinase C (PKC) inhibitor, bisindolylamaleimide I (1 microM), decreased the amplitude and frequency, but PKC activator, phorbol 12-myristate 13-acetate (1 microM), increased the frequency of oscillatory contractions. These results suggest that K(Ca) inhibitors-induced oscillatory contractions are initiated by Ca2+ influx through L-type voltage-dependent Ca2+ channels. The ryanodine-sensitive calcium release channels in the sarcoplasmic reticulum may play an important role in maintaining the oscillatory contractions. Moreover, PKC activity modulates these oscillatory contractions.     

The role of the central nervous system functional condition in formation of responses of visual analyser's peripheral and central parts

Nembutal was shown to inhibit formation of early receptor potentials, "a"-wave and oscillatory potential of the retina (ERG), as well as the oscillatory potentials of the superior colliculus and visual cortex. The first oscillatory potential of the retina alone was enhanced. Aminazin exerted rather an opposite effect related, probably, to facilitation of the retina and central structures due to elimination of a constant inhibitory effect of the brain stem RF.     

Dynamic representation of odours by oscillating neural assemblies

Stimulus evoked oscillatory synchronization of neural assemblies has been most clearly documented in the olfactory and visual systems. Recent results with the olfactory system of locusts show that information about odour identity is contained in spatial and temporal aspects of an oscillatory population response. This suggests that brain oscillations may reflect a common reference for messages encoded in time. Although stimulus-evoked oscillatory phenomena are reliable, their roles in perception, memory and pattern recognition remain to be demonstrated. Using honey bees, we demonstrated that odour encoding involves, as in locusts, the oscillatory synchronization of assemblies of neurons, and that this synchronization is, here also, selectively abolished by the GABA receptor antagonist picrotoxin. In collaboration with Dr Brian Smith's laboratory, we showed, using a behavioural learning paradigm, that picrotoxin-induced desynchronization impairs the discrimination of molecularly similar odourants, but not that of dissimilar odours. It appears, therefore, that oscillatory synchronization of neuronal assemblies is relevant, and essential for fine odour discrimination. Finally, experiments with locust mushroom body neurons, two synapses downstream from the antennal lobe, indicate that their responses to odours become less specific when antennal lobe neurons are desynchronized by picrotoxin injection. These results suggest that oscillatory synchronization and the kind of temporal encoding it affords provide an additional dimension by which the brain can segment spatially overlapping stimulus representations.     

Mechanism of protection of peroxidase activity by oscillatory dynamics.

The peroxidase-oxidase reaction is known to involve reactive oxygen species as intermediates. These intermediates inactivate many types of biomolecules, including peroxidase itself. Previously, we have shown that oscillatory dynamics in the peroxidase-oxidase reaction seem to protect the enzyme from inactivation. It was suggested that this is due to a lower average concentration of reactive oxygen species in the oscillatory state compared to the steady state. Here, we studied the peroxidase-oxidase reaction with either 4-hydroxybenzoic acid or melatonin as cofactors. We show that the protective effect of oscillatory dynamics is present in both cases. We also found that the enzyme degradation depends on the concentration of the cofactor and on the pH of the reaction mixture. We simulated the oscillatory behaviour, including the oscillation/steady state bistability observed experimentally, using a detailed reaction scheme. The computational results confirm the hypothesis that protection is due to lower average concentrations of superoxide radical during oscillations. They also show that the shape of the oscillations changes with increasing cofactor concentration resulting in a further decrease in the average concentration of radicals. We therefore hypothesize that the protective effect of oscillatory dynamics is a general effect in this system.