In a recent article, Kelly [4] has been able to exhibit interesting equilibrium properties for wide class of ‘quasi-reversible’ queue networks. The assumption quasi-reversibility puts restrictions on discipline, but not the distributions service requirements customers: however, because method proof he employed, was forced impose condition that were finite mixtures gamma distributions. form results obtained led him conjecture this in fact unnecessary, as is shown be case paper. used prove...

The paper considers a model for the transmission of bilharzia based on Macdonald's assumptions, in light data observed field. It is shown, particular, that threshold parameter governing whether or not an endemic cycle can be established closely related to proportion infected snails community, and this normally rather smaller than compatible with model. By considering more sophisticated models, allowing latent period infection snails, also spatial seasonal heterogeneity, effective from point...

Let { X N ( t )} be a sequence of continuous time Markov population processes on an n -dimensional integer lattice, such that has initial state Nx (0) and finite number possible transitions J from any : let the transition → + have rate Ng –1 ), g x ) fixed as varies. The convergence √ — ζ )) to Gaussian diffusion is investigated, where deterministic approximation method deriving higher order asymptotic expansions for its distribution justified. methods are applied two birth death processes,...

Many models of epidemic spread have a common qualitative structure. The numbers infected individuals during the initial stages an can be well approximated by branching process, after which proportion that are susceptible follows more or less deterministic course. In this paper, we show both these features consequences assuming locally structure in models, and course itself determined from distribution limiting random variable associated with backward, susceptibility process. Examples...

Abstract The ability to manufacture ordered mesoporous materials using low-cost precursors and scalable processes is essential for unlocking their enormous potential enable advancement in nanotechnology. While templating-based methods play a central role the development of materials, several limitations exist conventional system design, including cost, volatile solvent consumption, attainable pore sizes from commercial templating agents. This work pioneers new manufacturing platform...

One way of analysing complicated Markov population processes is to approximate them by a diffusion about the deterministic path. This approximation alone may not, however, answer all questions which might reasonably be asked. Many have phases, for example near boundaries, where different required; such are better described succession and special approximations alternately. paper looks at treatment required point equations in equilibrium. When equilibrium unstable, process will eventually...

Stein's method is used to prove approximations in total variation the distributions of integer valued random variables by (possibly signed) compound Poisson measures. For sums independent variables, results obtained are very explicit, and improve upon earlier work Kruopis (1983) Čekanavičius (1997); coupling methods derive concrete expressions for error bounds. An example given illustrate potential application dependent variables.

AbstractMyc is a transcription factor with diverse biological effects ranging from the control of cellular proliferation and growth to induction apoptosis. Here we present comprehensive analysis transcriptional targets sole Myc ortholog in Drosophila melanogaster, dMyc. We show that genes are down-regulated response dmyc inhibition largely identical those up-regulated after dMyc overexpression many them play role control. The promoter regions these characterized by presence E-box sequence...

Equations are derived describing a central limit type large population approximation for continuous time Markov lattice processes in one or more dimensions, such as commonly encountered biological models. A method of solving the equations using only deterministic solution process is explained, and it extended by use martingale argument to provide detailed information about process.

Transforming polyolefins (POs), such as polyethylene (PE), into vitrimers is a promising research field due to their low cost, high availability, and excellent chemical resistance mechanical properties. In these...

Fourteen bacterial strains isolated from turbot, Scophthalmus maximus (L.), larvae were screened for eicosapentaenoic acid (20:5 n-3) (EPA) production. Gas chromatography analysis revealed that one species, Vibrio pelagius, contained a high proportion of EPA in cellular lipid. This finding was confirmed by gas chromatography-mass spectrometry analysis. A higher concentration detected when the bacterium cultured at 4�C.

In order to develop a better understanding of the evolutionary dynamics HIV drug resistance, it is necessary quantify accurately in vivo fitness costs resistance mutations. However, reliable estimation such riddled with both theoretical and experimental difficulties. Experimental assays typically suffer from shortcoming that they are based on vitro data. Fitness estimates mathematical analysis data, however, often questionable because underlying assumptions not fulfilled. particular,...

This work demonstrates a rational precursor design concept for simple and scalable synthesis of ordered mesoporous carbon materials.

This work demonstrates a series of functionalization methods to enhance the utility thermoplastic-elastomer derived ordered mesoporous carbons, including chemical activation, heteroatom doping, and introduction nanoparticles.

Ethylene-vinyl acetate (EVA)-based copolymers are widely employed in various applications such as packaging, adhesives, and shoe soles due to their relatively low cost versatile properties, which controlled by...

In a recent article, Kelly [4] has been able to exhibit interesting equilibrium properties for wide class of ‘quasi-reversible’ queue networks. The assumption quasi-reversibility puts restrictions on discipline, but not the distributions service requirements customers: however, because method proof he employed, was forced impose condition that were finite mixtures gamma distributions. form results obtained led him conjecture this in fact unnecessary, as is shown be case paper. used prove...

Let X 1 , 2 … be a sequence of independent random variables such that, for each n ≥ 1, EX = 0 and assume that then converges almost surely as N → ∞. let F ( x ) denote the distribution function . Loynes (2) observed { S } is reversed martingale, applied his central limit theorem to it: however, stronger results are obtainable, in precise duality with classical theory partial sums variables. These describe fluctuations }, hence way which its limit.

Summary Daniels successfully approximated the distribution of maximum number infectives during an epidemic in a closed population, by reducing problem to curved boundary for Brownian motion. The purpose this note is present simpler way tackling latter problem, using invariance properties

The paper presents a general introduction to the astonishing method for deriving probability approximations that was invented by Charles Stein around 50 years ago.

Quasi-logarithmic combinatorial structures are a class of decomposable which extend the logarithmic considered by Arratia, Barbour and Tavaré (2003). In order to obtain asymptotic approximations their component spectrum, it is necessary first establish an approximation sum associated sequence independent random variables in terms Dickman distribution. This turn requires argument that refines Mineka coupling incorporating blocking construction, leading exponentially sharper rates for sums...