Ultrafine particles (UFPs) contribute to health risks associated with air pollution, especially respiratory disease in children. Nonetheless, experimental data on UFP deposition in asthmatic children has been minimal. In this study, the effect of ventilation, developing respiratory physiology, and asthmatic condition on the deposition efficiency of ultrafine particles in children was explored. ...

In this paper the discrete time fractional order artificial neural network is presented. This structure is proposed for simulating the dynamics of non-linear fractional order systems. In the second part of this paper several numerical examples are shown. The final part of the paper presents the discussion on the use of fractional or integer discrete time neural network for modelling and simulat...

Background and aim: Few epidemiological studies so far have investigated the role of long-term exposure to ultrafine particles (UFP) in allergy development. The purpose this study was assess association between UFP allergic sensitization inhalant food allergens children up 16 years old Netherlands. Methods: 2295 participants prospective PIAMA birth cohort with specific IgE measurements common a...

Studies reporting on associations between short-term exposure to outdoor fine (PM 2.5 ), and ultrafine particles (UFP) blood pressure lung function have been inconsistent. Few studies characterized by personal monitoring, which especially for UFP may resulted in substantial measurement error. We investigated the association 24-h average UFP, PM , soot dose health parameters function. further as...

We consider the approximability of the Unsplittable Flow Problem (UFP) on tree graphs, and give a deterministic quasi-polynomial time approximation scheme for the problem when the number of leaves in the tree graph is at most poly-logarithmic in n (the number of demands), and when all edge capacities and resource requirements are suitably bounded. Our algorithm generalizes a recent technique th...

We determine the exact minimum l-degree threshold for perfect matchings in k-uniform hypergraphs when the corresponding threshold for perfect fractional matchings is significantly less than 1 2 ( n k−l ) . This extends our previous results [18, 19] that determine the minimum l-degree thresholds for perfect matchings in k-uniform hypergraphs for all l ≥ k/2 and provides two new (exact) threshold...

Let F0 be a fixed k-uniform hypergraph. The problem of finding the integer F0-packing number νF0 (H) of a k-uniform hypergraph H is an NP-hard problem. Finding the fractional F0-packing number ν∗ F0 (H) however can be done in polynomial time. In this paper we give a lower bound for the integer F0-packing number νF0 (H) in terms of ν∗ F0 (H) and show that νF0 (H) ≥ ν∗ F0 (H)− o(|V (H)| k).

When defining a differential operator, one often employs, besides ordinary derivatives, generalized derivatives, which appear in a natural way when considering extensions of differential operators defined on differentiable functions, and weak derivatives, related to the transition to the adjoint operator [9]. Derivatives of fractional and negative orders appear when the differentiation is defin...

Abstract We prove uniform Hölder regularity estimates for a transport-diffusion equation with fractional diffusion operator and general advection field in of bounded mean oscillation, as long the order dominates transport term at small scales; our only requirement is smallness negative part divergence some critical Lebesgue space. In comparison to celebrated result by Silvestre, does not need b...