带有干扰和非线性指标的脉冲时滞SI模型的渐近性质(英文)

研究了一个带有干扰和非线性指标的脉冲时滞SI模型,通过引入三个引理,获得该疾病最终灭绝和保持持久的充分性条件。结果表明,时滞因素对该模型的全局吸引性和持久性都有影响。此外。如果脉冲免疫接种率的最大值和最小值之比大于某一阈值,则该疾病最终灭绝,本文的主要特点是将多时滞和变系数引入脉冲SI模型,数值模拟表明,该系统具有复杂的动力学行为,包括周期解和周期振荡.     

Arterial pulse attenuation prediction using the decaying rate of a pressure wave in a viscoelastic material model

The present study examines the possibility of attenuating blood pulses by means of introducing prosthetic viscoelastic materials able to absorb energy and damp such pulses. Vascular prostheses made of polymeric materials modify the mechanical properties of blood vessels. The effect of these materials on the blood pulse propagation remains to be fully understood. Several materials for medical applications, such as medical polydimethylsiloxane or polytetrafluoroethylene, show viscoelastic behavior, modifying the original vessel stiffness and affecting the propagation of blood pulses. This study focuses on the propagation of pressure waves along a pipe with viscoelastic materials using the Maxwell and the Zener models. An expression of exponential decay has been obtained for the Maxwell material model and also for low viscous coefficient values in the Zener model. For relatively high values of the viscous term in the Zener model, the steepest part of the pulse can be damped quickly, leaving a smooth, slowly decaying wave. These mathematical models are critical to tailor those materials used in cardiovascular implants to the mechanical environment they are confronted with to repair or improve blood vessel function.     

The rate of protein degradation in developing brain. Methodological considerations.

Recently we reported that the rate of protein breakdown decreases during development. Breakdown rates were calculated from the rates of protein synthesis and the changes in brain protein content with age. A different study, measuring breakdown by monitoring the loss of label from brain protein after an H14CO3- pulse, came to the opposite conclusion: that the rate of breakdown is low in immature brain and increases during development. We have now investigated some of the factors (the distribution of label in protein and the potential for recycling) that might introduce errors into these measurements. The specific radioactivities of both protein-bound and free amino acids were determined in the brains of young rats several days after an intraperitoneal pulse of H14CO3-. For a number of amino acids the specific radioactivity of the free amino acid is high compared with that of the protein-bound amino acid, and therefore recycling could result in an underestimate of the degradation rate. Because glutamic acid had a relatively low specific-radioactivity ratio, [1-14C]glutamic acid was used in a pulse-labelling experiment to measure degradation. The rate so obtained, 0.6% . h-1, is twice the rate found with H14CO3- labelling (based on total protein-bound radioactivity). Insofar as recycling is a possible complication, 0.6% . h-1 may be a minimum value. Although somewhat higher degradation rates are found after labelling with an intracranial pulse, which was considered as a possible route to limit recycling, there are difficulties in interpreting these data.     

SOME TEMPERATURE CHARACTERISTICS IN MAN

The value of µ = 29,400 has been found for the human heart beat over the temperature range of approximately 4.7°C. This value is different from that of 24,000 calories which has been obtained for the effect of temperature on judgments of short durations. The evidence indicates that the estimation of short time intervals is controlled by a chemical master reaction which is independent of the pulse rhythm.     

The dependence of impulse propagation speed on firing frequency, dispersion, for the Hodgkin-Huxley model.

Propagation speed of an impulse is influenced by previous activity. A pulse following its predecessor too closely may travel more slowly than a solitary pulse. In contrast, for some range of interspike intervals, a pulse may travel faster than normal because of a possible superexcitable phase of its predecessor's wake. Thus, in general, pulse speeds and interspike intervals will not remain constant during propagation. We consider these issues for the Hodgkin-Huxley cable equations. First, the relation between speed and frequency or interspike interval, the dispersion relation, is computed for particular solutions, steadily propagating periodic wave trains. For each frequency, omega, below some maximum frequency, omega max, we find two such solutions, one fast and one slow. The latter are likely unstable as a computational example illustrates. The solitary pulse is obtained in the limit as omega tends to zero. At high frequency, speed drops significantly below the solitary pulse speed; for 6.3 degrees C, the drop at omega max is greater than 60%. For an intermediate range of frequencies, supernormal speeds are found and these are correlated with oscillatory swings in sub- and superexcitability in the return to rest of an impulse. Qualitative consequences of the dispersion relation are illustrated with several different computed pulse train responses of the full cable equations for repetitively applied current pulses. Moreover, changes in pulse speed and interspike interval during propagation are predicted quantitatively by a simple kinematic approximation which applies the dispersion relation, instantaneously, to individual pulses. One example shows how interspike time intervals can be distorted during propagation from a ratio of 2:1 at input to 6:5 at a distance of 6.5 cm.     

Respiration-dependent proton translocation in Nitrosomonas europaea and its apparent absence in Nitrobacter agilis during inorganic oxidations.

Oxygen pulse experiments were carried out with the nitrifying bacteria Nitrosomonas europaea and Nitrobacter agilis and with spheroplasts and everted vesicles prepared from Nitrobacter agilis. In addition to thiocyanate, the salting-in anions perchlorate and trichloroacetate proved to be permeant and effective in allowing respiration-dependent proton translocation with Nitrosomonas europaea. Valinomycin-K+, however, was generally ineffective in this respect with Nitrosomonas europaea. The observed leads to H+/O ratio for ammonium ion oxidation by Nitrosomonas europaea was 3.4; that for hydroxylamine and hydrazine cation oxidation was 4.4. These values, when corrected for production of stoichiometric protons and for the fact that the first step in ammonium ion oxidation (hydroxylamine production) is mediated by a monooxygenase, give effective leads to H+/O ratios of about 4 for these three substrates. This value compares favorably with those obtained with other aerobes. No convincing evidence was obtained for operation of a respiratory proton pump in Nitrobacter agilis during nitrite oxidation. Implications of this unexpected result are discussed.     

Effect of temperature on the development of chromosome aberrations in human blood lymphocytes irradiated in pulse and continuous modes at BARS-6 reactor

Summarized results of 5 repeated experiments of comparative study of radiation effects of the pulse reactor BARS-6 either in a single pulse or a continuos irradiation mode on human lymphocytes are presented. Higher efficiency (30-40%) of continuous irradiation (exposure duration 1 h) rather than pulse irradiation with ultra-high dose rates (1-2.5) x 10(6) Gy/min (pulse duration 65 micros) was confirmed. The efficiency ratio did not depend on the temperature, 20 degrees C or 0 degrees C, during the exposure. Cell repair system and chromatin conformation influence on the results obtained is discussed.     

Simulations of arterial pressure pulses using a transmission line model

Transmission of pressure pulses from the aorta to the central retinal artery is studied under normal and stenotic conditions. A convenient model for the study is obtained by replacing the arteries with a network of distributed electrical transmission lines. By using boundary conditions and a voltage-pressure analogy, the transmitted pulse is obtained. Stenosis of varying degrees were simulated at different locations and the characteristics of the transmitted pulse was studied by examining its peak value, the dicrotic notch and the systolic slope. The dependence of the characteristics of the transmitted pulse on the physical parameters were also studied.     

High vectorial proton stoichiometry by cytochrome c oxidase from the thermophilic bacterium PS3 reconstituted in liposomes

The stoichiometry of vectorial H+ ejection, coupled to ferrocytochrome c oxidation by a three-subunit bacterial cytochrome c oxidase (EC 1.9.3.1) from the thermophilic bacterium PS3, was measured. Three methods of measuring the H+/e- ratio were applied to proteoliposomes containing a relatively small amount of PS3 cytochrome oxidase, which showed a relatively low oxidation rate and a very low H+ leakage, as follows: (a) simultaneous measurements of H+ ejection and cytochrome c oxidation upon addition of a yeast ferrocytochrome c pulse, which enable us to calculate the H+/e- ratio as H+ ejected per cytochrome c oxidized; (b) computer simulations to find out the fit for the pH meter trace by changing the H+/e- ratio and the velocity constant of leakage; and (c) two successive measurements of initial rates of H+ movement in the absence and presence of carbonyl cyanide p-trifluoromethoxyphenylhydrazone. The H+/e- ratios obtained were 1.39, the 10-s value after ferrocytochrome c addition in (a), 1.35 in (b), and 1.33 in (c). This high H+/e- stoichiometry observed, exceeding 1 and as high as 1.4, is discussed with respect to the controversy of the H+/e- ratio at the cytochrome oxidase site.     

A critical reevaluation of some assay methods for superoxide dismutase activity

We have compared the direct method of pulse radiolysis to the indirect methods of cytochrome c and nitroblue tetrazolium for assaying the superoxide dismutase activity of a compound. We have shown that with pulse radiolysis, where high concentrations of O2- are generated, the "turnover" rate constant, kcat, can be determined directly, while with the indirect methods, where relatively low steady state concentrations of O2- are formed, the value of kcat determined by these methods, can be orders of magnitude lower than that determined directly. The main reason for the lower values obtained with the indirect methods is due to the fast reoxidation of the reduced compound by molecular oxygen. Additional problems which arise with the use of indirect methods for determining superoxide dismutase catalytic activity are discussed.     

An improved electrofusion technique for production of mouse hybridoma cells

An experimental procedure is described for the reproducible production of hybridoma cells using the electrofusion technique. High yields can be obtained when fusion is performed in isotonic inositol solutions containing Ca2+ and Mg2+ in a ratio of 1:5 in the millimolar range. The hybridoma cells are transferred 10 min after the field pulse application into a balanced salt solution for 30 min at 37 degrees C.     

一个污染环境中的单种群模型的动力学性质

以脉冲微分方程为基础建立了一个污染环境中在固定时刻对污染净化处理的单种群模型,详细研究了此模型的动力学性质,给出了种群灭绝和持续生存的充分条件.结果表明,当脉冲作用的周期小于某个阈值时,种群将持续生存;否则,种群将趋于灭绝.     

Serving science and conservation: The biological materials request protocol of the New York Zoological Society

Biological materials obtained during routine veterinary treatment and necropsies on zoo and aquarium animals provide opportunities to study a wide variety of phenomena, many of which have important implications for wildlife conservation and captive animal management. Collection and shipment of biological materials require extensive coordination, and few zoological institutions have developed detailed, standardized protocols to facilitate these efforts. The value of using biological materials is reviewed and a set of policies and guidelines are outlined for their collection, preservation, and shipment. Several related issues are discussed, including health hazards and liability issues, permit requirements, and animal welfare considerations.     

Wave Propagation in a Viscous Fluid Contained in an Orthotropic Elastic Tube

The problem of pressure wave propagation through a viscous fluid contained in an orthotropic elastic tube is considered in connection with arterial blood flow. Solutions to the fluid flow and elasticity equations are obtained for the presence of a reflected wave. Numerical results are presented for both isotropic and orthotropic elastic tubes. In particular, the pressure pulse, flow rate, axial fluid velocity, and wall displacements are plotted vs. time at various stations along the ascending aorta of man. The results indicate an increase in the peak value of the pressure pulse and a decrease in the flow rate as the pulse propagates away from the heart. Finally, the velocity of wave propagation depends mainly on the tangential modulus of elasticity of the arterial wall, and anisotropy of the wall accounts in part for the reduction of longitudinal movements and an increase in the hydraulic resistance.     

On the effects of thiocyanate and venturicidin on respiration-driven proton translocation in Paracoccus denitrificans

A fast-responding O2 electrode has been used to confirm and extend observations of a significant kinetic discrepancy between O2 reduction and consequent proton translocation in 'O2-pulse' experiments in intact cells of P. denitrificans. The permeant, chaotropic SCN- ion abolishes this discrepancy, and greatly increases the observable----H+/O ratio, to a value approaching its accepted, true, limiting stoichiometry. The observable H+ decay rates are very slow, particularly in the absence of SCN-. The submaximal----H+/O ratios observed in the absence of SCN- are essentially independent of the size of the O2 pulse, in a manner not easily explained by a delocalised chemiosmotic energy-coupling scheme. Osmotically active protoplasts of P. denitrificans do not show a significant kinetic discrepancy between O2 reduction and H+ translocation, even in the the absence of SCN-. However, the submaximal----H+/O ratios observed in the absence of SCN- are again essentially independent of the size of the O2 pulse. As in intact cells, the observable H+ decay rates are very slow. The energy-transfer inhibitor venturicidin causes a significant increase in the----H+/O ratio observed in protoplasts of P. denitrificans in the absence of SCN-; the decay kinetics of the H+ translocation process are also somewhat modified. Nevertheless, the----H+/O ratio observed in the presence of venturicidin is also independent of the size of the O2 pulse. This observation militates further against arguments in which (a) a non-ohmic leak of protons from the bulk aqueous phase might alone be the cause of the low----H+/O ratios observed in the absence of SCN-, and (b) in which there might be a delta p-dependent change ('redox slip') in the actual----H+/O ratio. It is concluded that the observable protonmotive activity of the respiratory chain of P. denitrificans in the absence of SCN- is directly influenced by the state of the H+-ATP synthetase in the cytoplasmic membrane of this organism. We are unable to explain the data in terms of a model in which the putative protonmotive force may be acting to affect the----H+/O ratio. The possibility is considered that the delocalised bulk-to-bulk phase membrane potential set up in response to protonmotive activity is energetically insignificant.     

An extended modeling of the micropipette aspiration experiment for the characterization of the Young's modulus and Poisson's ratio of adherent thin biological samples: numerical and experimental studies

The micropipette aspiration (MA) experiment remains a quite widely used micromanipulation technique for quantifying the elastic modulus of cells and, less frequently, of other biological samples. However, moduli estimations derived from MA experiments are only valid if the probed sample is non-adherent to the rigid substrate. This study extends this standard formulation by taking into account the influence of the sample adhesion. Using a finite element analysis of the sample aspiration into the micropipette, we derived a new expression of the aspirated length for linear elastic materials. Our results establish that (i) below a critical value, the thickness h of the probed sample must be considered to get an accurate value of its Young's modulus (ii) this critical value depends both on the Poisson's ratio and on the sample adhesivity. Additionally, we propose a novel method which allows the computation of the intrinsic Young's modulus of the adherent probed sample from its measured apparent elasticity modulus. Thanks to the set of computational graphs we derived from our theoretical analysis, we successfully validate this method by experiments performed on polyacrylamide gels. Interestingly, the original procedure we proposed allows a simultaneous quantification of the Young's modulus and of the Poisson's ratio of the adherent gel. Thus, our revisited analysis of MA experiments extends the application domain of this technique, while contributing to decrease the dispersion of elastic modulus values obtained by this method.     

Osmotic fragility model for red cell populations

A model that predicts the osmotic fragility curve of a red cell population is developed by relating the critical osmotic pressure to the size distribution of the cells, determined by resistive pulse spectroscopy. Two of the parameters involved, namely the normalized osmotic volume correction, B, and the swelling index, k, are previously determined from the experimental average properties of the population. From these values the critical volume of the cell is obtained, and is shown to be 6-12% larger than the first spherical volume, obtained from an independent experiment. A new parameter, n, a measure of the surface area distribution of the cells, is incorporated through a simple function that relates the critical volume to the size of the cells, and is theoretically shown to be linked to parameters k and B. The model is used to fit and interpret fragility data obtained in this laboratory for normal and sickle cell samples. From the values of n obtained for normal samples, the model predicts an essentially constant surface-to-volume ratio within an individual's cell population. For sickle cell samples, instead, the value of index n is negative, thereby supporting an increase in excess surface area as cell size decreases. Both findings are in agreement with direct observations reported in the literature. It is concluded that this set of parameters may be used to develop an index classification of blood disorders.     

Modeling the kinetics of enzymic reactions in mainly solid reaction mixtures

There is currently considerable interest in using mainly solid reaction mixtures for enzymic catalysis. In these reactions starting materials dissolve into, and product materials crystalize out of, a small amount of liquid phase in which the catalytic reaction occurs. An initial mathematical model for mass transfer effects in such systems is constructed using some physically reasonable approximations. The model equations are solved numerically to determine how the reactant concentrations vary with time and position. To evaluate the extent to which mass transfer limits the overall rate of product formation, an effectiveness factor is defined as the ratio of the observed total reaction rate to the total reaction rate in the reaction limited limit. As expected, the value of the effectiveness factor in steady state is strongly dependent on the Thiele modulus. However, it is also observed that the effectiveness factor can vary widely as a result of changes in the other dimensionless groups characterizing the system. For example, there are situations with Thiele modulus equal to unity in which the value of the effectiveness factor varies between approximately 0.1 and 0.8 as the other parameters are varied in physically reasonable ranges. Analytical asymptotic solutions that provide good approximations to the numerically calculated results in various physically important limiting cases are also presented.     

Experimental investigation on spectral-energy efficiency of femtosecond laser ablation of metals

Results of investigation on spectral-energy thresholds, rates, and mass flow rates of laser ablation of structural materials (Cu, Ti, Zr, Nb, Mo) of high-energy photonics are presented. The data were obtained by means of an experimental diagnostic module developed for study of multifactor interaction processes between UV-near IR femtosecond laser pulse radiation and condensed media in vacuum.     

A presettable multichannel digital timer.

A digital timer is described which generates a number of pulses whose delays with respect to a periodic reference pulse can be independently preset by means of thumbwheel switches. The timing intervals are crystal-controlled and can be varied over a wide range--typically 0.1 ms to 99.99 s. It is shown how a pulse train of up to 46 pulses may be obtained, the delay of each pulse in the train being individually presettable. Digital integrated circuits are used throughout, except for the output stage of enhanced drive capability.