Positive Periodic Solution for a Neutral Delay Model in Population

IIntroductionIn1993,KuangY［11gavetheopenp毗fern9．2：恤tainsufficientCOnditionsfortheeds－tenceofpO8ltlvependIc劝utionsinN”（t）＝N（t）［a（t）一B（t）N（）一b（t）N（t—r（t））－c（t）N”（t一巾》】（1）wherea（t）,尸（t）,b（t）,c（t）,,（t）are。＂negativecontinuouspo。odlcfunctionswithpenodT．Inthispaper,weconsideraspecialcasewheng（t）。0,b（t）＞0,c（t）。c,r（t）。,,i．e．O鹏idertheexlstenceOfp用tlvependicdutionsOftkforirlBynsf叩ofsomenewtechnicsandtoPOloglcaldeg…     

核酸载体lipopolyplex 的制备及细胞毒性研究

目的：为降低聚阳离子基因载体polyplex 的正电荷和毒性,在其表面构建中性磷脂膜制备lipopolyplex,并测定lipopolyplex 对小鼠结肠癌细胞CT26 和人乳腺癌细胞MCF-7 的细胞毒性。方法：采用PEI25KDa与DNA 复合制备polyplex,在polyplex 体系 中加入中性脂质体和SADGE 制备lipopolyplex。采用琼脂糖凝胶电泳考察lipopolyplex 对质粒DNA的包裹能力;采用激光粒度 仪和zeta 电位分析仪测定lipopolyplex 的粒径与zeta 电位;采用透射电镜观察lipopolyplex 的形态;采用CCK-8 试剂盒考察 lipopolyplex 对CT26和MCF-7 的细胞毒性。结果：琼脂糖凝胶电泳显示lipopolyplex 可以完全包裹质粒DNA;lipopolyplex 的粒 径在200 nm 左右,电位在-20 mV 左右;透射电镜下为较为规则的球状颗粒;lipopolyplex 在CT26 和MCF-7 细胞中的毒性明显 低于聚阳离子基因载体polyplex。结论：在polyplex 表面成功构建中性磷脂膜制备的lipopolyplex,可以完全的包裹DNA 并且细 胞毒性明显低于polyplex,在基因输送载体领域具有潜在应用价值。     

Microplate assay for quantitation of neutral lipids in extracts from microalgae

Lipid quantitation is widespread in the algae literature, but popular methods such as gravimetry, gas chromatography and mass spectrometry (GC–MS), and Nile red cell staining suffer drawbacks, including poor quantitation of neutral lipids, expensive equipment, and variable results among algae species, respectively. A high-throughput microplate assay was developed that uses Nile red dye to quantify neutral lipids that have been extracted from algae cells. Because the algal extracts contained pigments that quenched Nile red fluorescence, a mild bleach solution was used to destroy pigments, resulting in a nearly linear response for lipid quantities in the range of 0.75 to 40 μg. Corn oil was used as a standard for quantitation, although other vegetable oils displayed a similar response. The assay was tested on lipids extracted from three species of Chlorella and resulted in close agreement with triacylglycerol (TAG) levels determined by thin layer chromatography. The assay was found to more accurately measure algal lipids conducive to biodiesel production and nutrition applications than the widely used gravimetric assay. Assay response was also consistent among different species, in contrast to Nile red cell staining procedures.     

A functional test of Neandertal and modern human mitochondrial targeting sequences

Targeting of nuclear-encoded proteins to different organelles, such as mitochondria, is a process that can result in the redeployment of proteins to new intracellular destinations during evolution. With the sequencing of the Neandertal genome, it has become possible to identify amino acid substitutions that occurred on the modern human lineage since its separation from the Neandertal lineage. Here we analyze the function of two substitutions in mitochondrial targeting sequences that occurred and rose to high frequency recently during recent human evolution. The ancestral and modern versions of the two targeting sequences do not differ in the efficiency with which they direct a protein to the mitochondria, an observation compatible with the neutral theory of molecular evolution.     

Heterogeneity in dynamic species abundance models: the selective effect of extinction processes

There is often large variation in traits across the species of a community. In particular, variation in life history traits affecting population dynamics is likely to affect the species abundance distribution. Applying a dynamic and heterogeneous species abundance model we study how differences in extinction time for species in a community act as a force changing the distribution of dynamic parameters across species. This process may generate communities that are more heterogeneous then the heterogeneity measured as the species enter the community. Analytical results for some versions of the lognormal and gamma species abundance model are given as exemplifications of this process, together with stochastic simulations demonstrating the temporal changes in number of species and community heterogeneity through time.     

On the length distribution of external branches in coalescence trees: genetic diversity within species

Let Z(n) denote the length of an external branch, chosen at random from a Kingman n-coalescent. Based on a recursion for the distribution of Z(n), we show that nZ(n) converges in distribution, as n tends to infinity, to a non-negative random variable Z with density x--> 8/(2+x)(3), x>or=0. This result facilitates the study of the time to the most recent common ancestor of a randomly chosen individual and its closest relative in a given population. This time span also reflects the maximum relatedness between a single individual and the rest of the population. Therefore, it measures the uniqueness of a random individual, a central characteristic of the genetic diversity of a population.     

The zero-sum assumption in neutral biodiversity theory

The neutral theory of biodiversity as put forward by Hubbell in his 2001 monograph has received much criticism for its unrealistic simplifying assumptions. These are the assumptions of functional equivalence among different species (neutrality), the assumption of point mutation speciation, and the assumption that resources are continuously saturated, such that constant resource availability implies constant community size (zero-sum assumption). Here we focus on the zero-sum assumption. We present a general theory for calculating the probability of observing a particular species-abundance distribution (sampling formula) and show that zero-sum and non-zero-sum formulations of neutral theory have exactly the same sampling formula when the community is in equilibrium. Moreover, for the non-zero-sum community the sampling formula has this same form, even out of equilibrium. Therefore, the term "zero-sum multinomial (ZSM)" to describe species abundance patterns, as coined by Hubbell [2001. The Unified Neutral Theory of Biodiversity and Biogeography, Princeton University Press, Princeton, NJ], is not really appropriate, as it also applies to non-zero-sum communities. Instead we propose the term "dispersal-limited multinomial (DLM)", thus making explicit one of the most important contributions of neutral community theory, the emphasis on dispersal limitation as a dominant factor in determining species abundances.     

Heterogeneous communities with lognormal species abundance distribution: Species-area curves and sustainability

Heterogeneous species abundance models are models in which the dynamics differ between species, described by variation among parameters defining the dynamics. Using a dynamic and heterogeneous species abundance model generating the lognormal species abundance distribution it is first shown that different degrees of heterogeneity may result in equivalent species abundance distributions. An alternative to Preston's canonical lognormal model is defined by assuming that reduction in resources, for example reduction in available area, increases the density regulation of each species. This leads to species-individual curves and species-area curves that are approximately linear in a double logarithmic plot. Preston's canonical parameter gamma varies little along these curves and takes values in the neighborhood of one. Quite remarkably, the curves, which define the sensitivity of the community to area reductions, are independent of the heterogeneity among species for this model. As a consequence, the curves can be estimated from a single sample from the community using the Poisson lognormal distribution. It is shown how to perform sensitivity analysis with respect to over-dispersion in sampling relative to the Poisson distribution as well as sampling intensity, that is, the fraction of the community sampled. The method is exemplified by analyzing three simulated data sets.     

高、低氮浓度对2株真眼点藻的生长和油脂积累的影响

【目的】研究氮浓度对真眼点藻纲(Eustigmatophyceae)的2株高产油微藻大真眼点藻(Eustigmatos magnus,EM)和波氏真眼点藻(Eustigmatos polyphem,EP)的细胞形态、生长、总脂含量、脂质组成和脂肪酸组成与含量的时序变化规律。【方法】利用高氮(18.0 mmol/L NO3?-N)和低氮(3.6 mmol/L NO3?-N)浓度培养微藻。【结果】形态观察结果表明,大真眼点藻(E. magnus)和波氏真眼点藻(E. polyphem)营养细胞具有1个周生的裂叶状叶绿体,细胞质中有液泡,内含能够振动的颗粒物,以及一个较为明显的红色色素体;生殖方式通过形成2个D形或4个四角形的似亲孢子;随着培养周期的延伸和营养盐的消耗,细胞中油体逐步形成,其数量不断增加,体积不断增大。实验结果表明,初始氮浓度对2种微藻的总脂积累及生长均有显著影响(P<0.05),低氮浓度下2种微藻的生物质浓度分别为9.0 g/L和8.5 g/L,均低于高氮浓度下的生物质浓度。而低氮浓度下2种微藻的总脂、中性脂和总脂肪酸的含量以及总脂、中性脂与总脂肪酸的单位体积产率均明显高于高氮浓度组,其最高值分别为：59.10%、51.90%、46.95%和0.28、0.24、0.22 g/(L·d) (EM);64.20%、56.80%、50.01%和0.32、0.28、0.25 g/(L·d) (EP)。脂肪酸分析结果表明,两种微藻的脂肪酸主要成分均为棕榈酸(C16:0)、棕榈油酸(C16:1)、油酸(C18:1)和二十碳五烯酸(C20:5,EPA),四者的总含量(占总脂肪酸)分别达到85.83%和85.48%,其中棕榈油酸的含量最高。【结论】低氮浓度胁迫有利于大真眼点藻和波氏真眼点藻细胞内油脂的积累,两种微藻均为适合于生产生物柴油的油脂生产藻株。