Factors affecting binary sex evolution with respect to avoidance of vertical transmission of deleterious intracellular parasites

In sexual reproductive systems, the number of sexes is generally binary, viz. male and female. Several theoretical studies have shown that the evolution of this system is possibly related to cytoplasmic DNA, including deleterious cytoplasmic symbionts. When organisms are infected by a symbiont that is transmitted vertically to offspring via gametes, the exclusion or degeneration of the latter may evolve as a characteristic of those organisms. If this necessarily results in the elimination of organelle DNA in gametes, a reciprocal preference between individuals, one transmitting organelles and the other not, may be favored. In this theoretical study, factors affecting such an evolutionary process, in which the symbiont is considered as a parasite infecting vertically, horizontally and naturally, are considered. In addition, host individuals are assumed to recover from the infection to some degree. According to the analysis, a binary sex system can evolve only when uninfected and infected host individuals co-exist in a single host population. This condition can be satisfied only if natural infection occurs. Although recovery from infection has both positive and negative effects on binary sex evolution, the latter is promoted only when natural infection exists. Accordingly, if natural infection does not exist, the evolution of binary sex system is unlikely with respect to deleterious cytoplasmic symbionts, in absent of heterozogotic advantage in vertical transmission.     

Reduction of 1,4-quinone and ubiquinones by hydrogen atom transfer under UVA irradiation

1,4-Benzoquinone, coenzyme Q 0 and Q 10 were reacted with a series of hydrogen donors in the ESR cavity in the presence or absence of UVA irradiation. The signals of the radicals generated from the hydrogen donors or of those of the semiquinones were detected. The reaction mechanism was interpreted by a hydrogen atom transfer instead of the usual electron transfer mechanism on the basis of the redox potentials of the reactants and the Marcus theory. The hydrogen atom transfer is explained by the excited triplet state of quinones, which, on the basis of quantum mechanic calculations, may be reached even under visible light. In some cases, hydrogen atom transfer was also observed without irradiation, although to a lesser extent.     

Metapopulation dynamics with quasi-local competition

Stepping-stone models for the ecological dynamics of metapopulations are often used to address general questions about the effects of spatial structure on the nature and complexity of population fluctuations. Such models describe an ensemble of local and spatially isolated habitat patches that are connected through dispersal. Reproduction and hence the dynamics in a given local population depend on the density of that local population, and a fraction of every local population disperses to neighboring patches. In such models, interesting dynamic phenomena, e.g. the persistence of locally unstable predator-prey interactions, are only observed if the local dynamics in an isolated patch exhibit non-equilibrium behavior. Therefore, the scope of these models is limited. Here we extend these models by making the biologically plausible assumption that reproductive success in a given local habitat not only depends on the density of the local population living in that habitat, but also on the densities of neighboring local populations. This would occur if competition for resources occurs between neighboring populations, e.g. due to foraging in neighboring habitats. With this assumption of quasi-local competition the dynamics of the model change completely. The main difference is that even if the dynamics of the local populations have a stable equilibrium in isolation, the spatially uniform equilibrium in which all local populations are at their carrying capacity becomes unstable if the strength of quasi-local competition reaches a critical level, which can be calculated analytically. In this case the metapopulation reaches a new stable state, which is, however, not spatially uniform anymore and instead results in an irregular spatial pattern of local population abundance. For large metapopulations, a huge number of different, spatially non-uniform equilibrium states coexist as attractors of the metapopulation dynamics, so that the final state of the system depends critically on the initial conditions. The existence of a large number of attractors has important consequences when environmental noise is introduced into the model. Then the metapopulation performs a random walk in the space of all attractors. This leads to large and complicated population fluctuations whose power spectrum obeys a red-shifted power law. Our theory reiterates the potential importance of spatial structure for ecological processes and proposes new mechanisms for the emergence of non-uniform spatial patterns of abundance and for the persistence of complicated temporal population fluctuations.     

Random binding of dimers to chains

We develop a probabilistic model for the binding of a small linear polymer to a larger chain. We assume that we can approximate the energy of interaction of the two chains by summing the pairwise interactions between subunits. Because the energy of interaction between a pair of subunits can depend on neighboring subunits, which we assume vary along the chain, we assign the pairwise energies of interactions according to a specified probability distribution. Thus we develop a statistical model for the binding of two molecules. While such models may not be appropriate for studying the interaction of a particular pair of molecules, they can provide insight into questions that deal with populations of molecules, such as why do MHC molecules bind peptides of a certain size? Here we analyze in detail the special case of a heterodimer binding to a polymer.     

数量化理论在建立多地域产量通用模型上的应用

通过应用数量化理论和多元回归分析理论,解决了小样本多变量自由度小及各地域数据不能通用的问题,建立了河北、北京等八个试验地域的掖单13号夏玉米产量的通用模型,并由此建立各地域的产量模型,研究地域因素对产量的影响,最后又以河北试验区为例进行了施肥方案的优化研究．     

深圳双向转诊的利益相关者分析

利用利益相关者理论分析我国深圳社区健康中心与医院双向转诊中的各方利益者,包括主要利益相关者、次要利益相关者和外部利益相关者。社区居民、社区健康服务中心能获得预期利益,但是由于这些利益集团动用资源能力较弱,所以双向转诊仍然需要发挥政府的主导作用。     

Singular solutions of the diffusion equation of population genetics

The forward diffusion equation for gene frequency dynamics is solved subject to the condition that the total probability is conserved at all times. This can lead to solutions developing singular spikes (Dirac delta functions) at the gene frequencies 0 and 1. When such spikes appear in solutions they signal gene loss or gene fixation, with the "weight" associated with the spikes corresponding to the probability of loss or fixation. The forward diffusion equation is thus solved for all gene frequencies, namely the absorbing frequencies of 0 and 1 along with the continuous range of gene frequencies on the interval (0,1) that excludes the frequencies of 0 and 1. Previously, the probabilities of the absorbing frequencies of 0 and 1 were found by appeal to the backward diffusion equation, while those in the continuous range (0,1) were found from the forward diffusion equation. Our unified approach does not require two separate equations for a complete dynamical treatment of all gene frequencies within a diffusion approximation framework. For cases involving mutation, migration and selection, it is shown that a property of the deterministic part of gene frequency dynamics determines when fixation and loss can occur. It is also shown how solution of the forward equation, at long times, leads to the standard result for the fixation probability.     

Zigzagging: theoretical insights on climbing strategies

Human and animal trails on steep hillsides often exhibit dramatic switchbacks and shortcuts. Helbing et al. have recently examined the emergence of human trail systems on flat terrains while Minetti and Margaria established the effect of gradients on human metabolic efficiency. In this paper we use these ideas to develop a semi-quantitative theoretical model of the behaviour of humans moving on a terrain with relief. The model determines the direction of movement by minimising metabolic cost per unit of distance in a desired direction. The structure of the theory resembles the Landau Theory of Phase Transitions, much used in theoretical physics. We find that both hairpin bends (switchbacks) and shortcuts appear as efficient strategies for downhill walkers, while uphill walkers retain switchbacks. For weakly inclined slopes, the best strategy involves walking directly uphill or downhill. For sufficiently steep slopes, however, we find that the best strategy should undergo a transition to a broken symmetry solution corresponding to the switchback trail patterns typical of rugged environments. The critical slope at which this transition takes place should be less steep for uphill and downhill walkers. The theory should be amenable to empirical investigation. Amongst other applications, this model will enable us to generalize the work of previous authors to real landscapes, eventually permitting the reconstruction of ancient patterns of movement in archaeological landscapes.     

Evaluation of 2-indolcarbohydrazones as potent α-glucosidase inhibitors,in silico studies and DFT based stereochemical predictions

2-Indolcarbohydrazones 1–28 were synthesized and evaluated for their α-glucosidase inhibitory potential. A varying degree of inhibitory potential with IC₅₀ values in the range of 2.3 ± 0.11–226.4 ± 6.8 μM was observed while comparing these outcomes with the standard acarbose (IC₅₀ = 906.0 ± 6.3 μM). The stereochemistry of ten (10) randomly selected compounds (1, 3, 6, 8, 12, 18, 19, 23, 25 and 28) was predicted by Density Functional Theory (DFT). The stability of E isomer was deduced by comparing the calculated and experimental vibration modes of ν_CO, ν_NC and ν_CH (CH in NCH-R). It was observed that except compound 18, all other compounds were deduced to have E configuration while molecular modeling studies revealed the key interactions between enzyme and synthesized compounds.     

研究SIR传染病数学模型的Lagrange-Noether方法

应用分析力学的方法讨论了SIR传染病数学模型方程,得到了与其对应的Lagrange函数和Noether守恒量,并根据Noether守恒量具体探讨了对感染病者和易感染病者人群的隔离率与患病者人数最大值的关系.