一类食饵具有常数投放率系统的恢复率

在现实的生态系统中,特别当捕食者的密度大或捕食能力强时,人们常采用食饵补充的方式来控制捕食者和食饵种群数量的稳定,以达到生态平衡．本文在Chisholm,R．A．和Filotas,E．研究的捕食-食饵模型基础上,定义了食饵具有常数投放率的捕食系统,讨论了此系统的恢复率与食饵最大容量之间的关系以及投放率对恢复率和预警长度的影响．最后通过算例分析了递减的恢复率作为系统转移的指示器与投放率与食饵最大容量的关系,说明食饵的投放率可增强预警效果．     

带有年龄结构的捕食者-食饵模型研究

研究带有年龄结构的捕食者-食饵模型的渐近行为.本文所研究的模型假定捕食者从幼年阶段到成年阶段的转变率依赖于幼年种群的密度,还假定幼年捕食者捕食食饵.本文最终给出了有年龄结构的捕食者-食饵模型的捕食者持久和灭绝的若干条件.     

具性别和阶段结构的非自治二种群捕食者-食饵系统研究

讨论了一类食饵具有性别结构,捕食者具有阶段结构的非自治捕食者．食饵系统,运用Liapunov函数方法,得到了该系统一致持续生存的充分条件．对于该模型的周期系统,在适当条件下,存在唯一、全局渐近稳定的周期解．对更具普遍意义的概周期现象,也得出了概周期正解唯一存在且全局渐近稳定的充分条件．     

斑块生境中具有捕食风险的动力系统模型及其数值模拟研究

从生物的捕食系统出发．提出了一种斑块生境中具有异质捕食风险的新机制．并构造了一个动力系统模型。在此模型之上,首先研究了扩散对系统稳定性的作用．并对系统进行了计算机模拟。研究发现：具有不同捕食风险的斑块生境之间的扩散(无论是只有食饵的扩散．还是食饵和捕食者共同的扩散)对整个捕食系统所起的作用主要取决于扩散的速率——只有在适中的扩散速率下系统才会稳定．如果扩散速率过快,则引起系统的强烈振荡。当只有食饵发生扩散时,参数f的值越小(f代表高捕食风险生境斑块体积占整个系统体积的比例)．系统越稳定。在捕食者与食饵同时扩散的时候．只有适中或较小的参数f才可以实现系统的长期稳定。其次研究了系统中种群空间平均平衡密度随扩散速率增加的变化趋势。模拟结果表明：系统中食饵种群的空间平均平衡密度随扩散速率增加而减小;捕食者种群平衡密度的变化趋势则取决于系统斑块之间的扩散形式：只有食饵发生扩散时．捕食者种群的空间平衡密度先保持不变．然后缓慢下降;捕食者与食饵同时扩散的时候．捕食者种群平衡密度呈上升趋势。上述结论是由空间异质的捕食风险所决定的．也就是一种下行控制力所限制的结果。综合以上两个结论．认为斑块之间的扩散形式决定了扩散对系统动态的作用和种群空间平均平衡密度对扩散速率增加的反应。     

捕食者有病的食饵-捕食者模型

建立了捕食者有病的食饵-捕食者模型;由Hurwitz判据、LaSalle不变性原理获得了平衡点稳定的条件;并给出了模型的撮动解．     

一类捕食者具有阶段结构的捕食系统的全局稳定性分析

本文建立了一类捕食者具有阶段结构的捕食系统,计算得到了不存在食饵种群时捕食者种群模型和食饵种群存在时捕食系统的平衡点,并证明了平衡点的存在性.分析和比较了两个模型平衡点的全局稳定性,最终确定了决定模型全局稳定性的捕食者种群基本再生数、食饵灭绝与否的捕食率阈值以及捕食存在时食饵种群的净增长率.     

具有性别结构的食饵-捕食者模型

建立了两个食饵种群具有性别结构的食饵．捕食者模型,其中一个没有考虑性别偏食现象,另一个则考虑了这一现象,并对模型的有关性态进行了分析。     

食饵庇护所对斑块环境下Leslie-Gower捕食系统的影响

建立了一个显式含有空间庇护所的两斑块Leslie-Gower捕食者-食饵系统。假设只有食饵种群在斑块间以常数迁移率迁移,且在每个斑块上食饵间的迁移比局部捕食者-食饵相互作用发生的时间尺度要快。利用两个时间尺度,可以构建用来描述所有斑块总的食饵和捕食者密度的综合系统。数学分析表明,在一定条件下,存在唯一的正平衡点,并且此平衡点全局稳定。进一步,捕食者的数量随着食饵庇护所数量增加而降低;在一定条件下,食饵的数量随着食饵庇护所数量增加先增加后降低,在足够强的庇护所强度下,两物种出现灭绝。对比以往研究,利用显式含有和隐含空间庇护所的数学模型所得结论不一致,这意味着在研究庇护所对捕食系统种群动态影响时,空间结构可能起着重要作用。     

一类具有阶段结构和脉冲效应的捕食者-食饵模型的动力学分析

研究了一个捕食者具有阶段结构,食饵具有脉冲效应和时滞的捕食者-食饵模型.利用离散动力系统的频闪映射,我们获得了捕食者-灭绝的周期解同时给出了该周期解全局吸引的充分条件.利用时滞脉冲微分方程的理论,得到了系统持续生存的充分条件.     

捕食者-食饵交错扩散模型的整体解

应用能量估计方法和Bootstrap技巧证明含有两类竞争的食饵种群和一类捕食者种群的三种群捕食者-食饵扩散模型在空间维数小于6时古典解的整体存在性.     

A general model for aerobic yeast growth: batch growth

A general model for aerobic yeast growth in batch culture is presented. It is based on the concept that the aerobic metabolism of all yeasts is determined by the relative sizes of the transport rate of sugar into the cell and the transport rate of respiratory intermediates into the mitochondrion. If the rate of sugar uptake rate exceeds the rate of transport of respiratory intermediates into the mitochondrion (as in Saccharomyces cerevisiae, S. uvarum, and S. pombe), the metabolism exhibits the features of ethanol excretion and limited specific oxygen uptake rate. If the rate of transport of respiratory intermediates into the mitochondrion is of the same order as the transport of sugar into the cell (as in Candida utilis), the metabolism is characterized by little or no ethanol excretion and a much higher specific oxygen uptake rate. Batch data from an extensive range of yeast and carbon sources is used to illustrate the use of this model. The ability of this model to fit such an extensive range of experimental data suggests that it can be used as a generalized model for aerobic yeast growth.     

A model for impulse frequency modulation used in neural encoding

The impulse rate at the output of a neural encoder can be interpreted as the sum of the mean impulse rate plus a noise component. From literature models are known which describe the transient phenomena of the encoder as far as the mean impulse rate is concerned. In this paper in addition the noise phenomenon is treated by a model which is in agreement with results derived from measurements. This model consists of two parts, a multiplicative and an additive estimator. The first one is similar to the automatic gain control system known from literature. This system estimates the amplification of the impulse rate due to the step input of the neural encoder. Multiplying the impulse rate with the inverse of this factor inhibits the change of the impulse rate. The second estimator calculates the step size of the impulse rate which is subtracted from the output of the encoder. Again the change of the impulse rate is inhibited. The comparison of the impulse rates simulated by the model and given by published measurements shows a good agreement for the properties of the mean impulse rate and the variance of the imposed noise.     

Stochastic Demography and the Neutral Substitution Rate in Class-Structured Populations

The neutral rate of allelic substitution is analyzed for a class-structured population subject to a stationary stochastic demographic process. The substitution rate is shown to be generally equal to the effective mutation rate, and under overlapping generations it can be expressed as the effective mutation rate in newborns when measured in units of average generation time. With uniform mutation rate across classes the substitution rate reduces to the mutation rate.     

Heart rate as a measure of metabolic rate in teleost fishes; Salmo gairdneri, Salmo trutta and Gadus morhua

Measurements of oxygen consumption and heart rate showed that the range of variation in metabolic rate for any given heart rate in fish is too wide for any significant correlation to be used as a measure of metabolism as in some other vertebrates. By defining the maximum oxygen pulse a precise relationship can be established between maximum metabolic rate and heart rate. From field measurements of heart rate by telemetry useful information can be gained on metabolic rates.     

A molecular marker confirms that the rate of adult maturation is largely independent of the rate of pre-adult development in Drosophila melanogaster

The separation of adult from pre-adult life seen with animals such as Drosophila melanogaster, which are holometabolous and undergo complete metamorphosis, provides the opportunity to examine the contribution of pre-adult rate of development on the rate of maturation and aging of the adult. Recent work has shown that when ambient temperature is used to alter the rate of development there is little effect on adult life span. From this work it has been concluded that the rate of aging is largely independent of the rate of pre-adult development. However, the techniques used to examine life span did not allow for the examination of the earliest events of adult life. Our experimental design used a molecular marker linked to life span as a sensitive measure of determining physiological age. In this way, we were able to evaluate the effect of pre-adult rate of development on the earliest events of adult life. Using ambient temperature to alter both the rate of development in the pre-adult and the rate of aging in the adult independently, we were able to show that it is the ambient temperature at which the adults are living that is the principle determinant of the rate of maturation and aging of the adult. Little effect was seen on the rate of adult maturation in response to an acceleration or a slowing down of the rate of pre-adult development as measured by our molecular marker. These data support the conclusions drawn by others who examined the effect of the rate of development on adult life expectancy. The timing mechanisms at work during pre-adult and adult life appear to be largely regulated separately. If there is such a thing as a physiological clock, it appears to be reset upon eclosion. © 1996 Wiley-Liss, Inc.     

Effects of shear rate on rouleau formation in simple shear flow

A kinetic equation for rouleau formation in a simple shear flow is derived, based on several assumptions. These are (a) colliding rouleaux stick to one another with a certain probability to form a single rouleau; (b) simultaneous collisions between more than two rouleaux are negligible; (c) rouleaux are broken by a viscous force exerted by the suspending fluid on the surfaces of rouleaux; (d) when a rouleau is broken by viscous forces, only two fragments are formed. Based on a simple mathematical model, collision rate, sticking probability and degradation rate are obtained as functions of applied shear rate. From the solution of the kinetic equation, the average size of rouleaux is obtained as a function of time with shear rate as a parameter. It is shown that the average size of rouleaux increases monotonically with increasing time and tends to an equilibrium size. The average size of rouleaux in a dynamical equilibrium decreases monotonically with increasing shear rate and tends to one cell as shear rate approaches infinity. It is also found that the initial rate of rouleau formation increases with increasing shear rate at very low shear rate, but this trend is reversed at higher shear rates. The theoretical results are compared quantitatively with experimental data.     

Prediction of Rate‐Limiting Reactions for Growth‐Associated Production Using a Constraint‐Based Approach

Identification of a rate‐limiting step in pathways is a key challenge in metabolic engineering. Although the prediction of rate‐limiting steps using a kinetic model is a powerful approach, there are several technical hurdles for developing a kinetic model. In this study, an in silico screening algorithm of key enzyme for metabolic engineering is developed to identify the possible rate‐limiting reactions for the growth‐coupled target production using a stoichiometric model without any experimental data and kinetic parameters. In this method, for each reaction, an upper‐bound flux constraint is imposed and the target production is predicted by linear programming. When the constraint decreases the target production at the optimal growth state, the reaction is thought to be a possible rate‐limiting step. For validation, this method is applied to the production of succinate or 1,4‐butanediol (1,4‐BDO) in Escherichia coli, in which the experimental engineering for eliminating rate‐limiting steps has been previously reported. In succinate production from glycerol, nine reactions including phosphoenolpyruvate carboxylase are predicted as the rate‐limiting steps. In 1,4‐BDO production from glucose, eight reactions including pyruvate dehydrogenase are predicted as the rate‐limiting steps. These predictions include experimentally identified rate‐limiting steps, which would contribute to metabolic engineering as a practical tool for screening candidates of rate‐limiting reactions.     

群居性啮齿动物集群重组率的估算

提出了一种定量估算群居性啮齿动物的集群重组率的方法。此法以特定时期集群中动物个体之间的异源概率（即来源于不同家族的概率）作为衡量群居性啮齿动物的“混合”程度（即重组率）的定量指标,并与平均重组率（即重组期望）进行比较,进而判断动物在集群过程中的选择倾向。按照这种方法估算了内蒙古典型草原区布氏田鼠越冬集群的重组率。结果表明,该鼠的越冬集群重组率很低,仅在0.1左右,集群个体多数来源于相同的家族。此外,该鼠的集群重组率远低于其重组期望值,表明该鼠在秋季集群中,有强烈的选择同源个体的倾向。     

Relationship between ATP level and respiratory rate in sea urchin embryos

In sea urchin embryos, the rate of respiration, as a result of electron transport through the mitochondrial respiratory chain, was enhanced after hatching without any change in the intrinsic capacity of electron transport in mitochondria. The increase in respiratory rate after hatching was accompanied by an evident decrease in intracellular adenosine triphosphate (ATP) concentration without any change in intracellular levels of adenosine diphosphate (ADP) and adenosine monophosphate (AMP). Adenosine triphosphate is proposed to fortify acceptor control of respiration at high concentrations and to reduce the respiratory rate even in the presence of ADP, the acceptor. The relationships between the respiratory rate and intracellular ATP concentration in embryos were the same as those in mitochondria isolated from embryos, obtained in the presence of ADP at the same concentration as in the embryos. Probably, the respiratory rate is enhanced after hatching because of the decrease in the level of ATP. In embryos kept in a medium containing adenosine, intracellular ATP concentration increased especially after hatching, without any change in the ADP level, and the respiratory rate after hatching was made as low as the rate expected, based on the relationships obtained on isolated mitochondria. The respiratory rate in embryos probably depends on intracellular ATP concentration, irrespective of the developmental stage in early development.     

Relationships between intracellular proteolytic activity and protein turnover in Bacillus megaterium.

When incubated in a sporulation medium, the sporogenous strains of Bacillus megaterium degrade proteins at a rate of 4-10% X h-1. The maximal rate of protein turnover is reached after 3-4 hrs at the time of development of forespores and then decreases again. The rate of protein turnover in the asporogenous strain decreases steadily under similar conditions from 3-8% X h-1 at the beginning of incubation to 1% X h-1 after 5-6 hrs in the sporulation medium. The rate of degradation of proteins in vitro in protoplast lysates is similar or higher than the rate of protein turnover. The exocellular, as well as periplasmic proteolytic activity, is suppressed by amino acids more severely than the activity in protoplasts. Mutants devoid of the exocellular proteolytic enzyme contain also less proteolytic activity in the periplasm than in the protoplasts, in contrast to the wild strain. However, their rate of protein turnover, as well as the degradation of abnormal proteins is similar to that in the wild strain. This supports a view that the proteolytic system in protoplasts is involved in intracellular protein catabolism. The periplasmic enzyme can be considered as a kind of the exocellular proteinase.