Let G be a simple connected graph. The distance between the edges g and f ∈ E(G) is defined as the distance between the corresponding vertices g and f in the line graph of G. The edge-Wiener index of G is defined as the sum of such distances between all pairs of edges of the graph. Let G1+G2 and G1◦G2 be the join and the corona of graphs G1 and G2, respectively. In this paper, we present explicit formulas for the edge-Wiener index for these graphs. Then we apply our results to compute the edge-Wiener index of suspensions, bottlenecks, and thorny graphs.

In this paper we deal with quadratic metric-affine gravity, which we briefly introduce, explain and give historical and physical reasons for using this particular theory of gravity. We then introduce a generalisation of well known spacetimes, namely pp-waves. A classical pp-wave is a 4-dimensional Lorentzian spacetime which admits a nonvanishing parallel spinor field; here the connection is assumed to be Levi-Civita. This definition was generalised in our previous work to metric compatible spacetimes with torsion and used to construct new explicit vacuum solutions of quadratic metric-affine gravity, namely generalised pp-waves of parallel Ricci curvature. The physical interpretation of these solutions we propose in this article is that they represent a conformally invariant metric-affine model for a massless elementary particle. We give a comparison with the classical model describing the interaction of gravitational and massless neutrino fields, namely Einstein–Weyl theory and construct pp-wave type solutions of this theory. We point out that generalised pp-waves of parallel Ricci curvature are very similar to pp-wave type solutions of the Einstein–Weyl model and therefore propose that our generalised pp-waves of parallel Ricci curvature represent a metric-affine model for the massless neutrino.

We present a new computational approach for constant pH simulations in explicit solvent based on the combination of the enveloping distribution sampling (EDS) and Hamiltonian replica exchange (HREX) methods. Unlike constant pH methods based on variable and continuous charge models, our method is based on discrete protonation states. EDS generates a hybrid Hamiltonian of different protonation states. A smoothness parameter s is used to control the heights of energy barriers of the hybrid-state energy landscape. A small s value facilitates state transitions by lowering energy barriers. Replica exchange between EDS potentials with different s values allows us to readily obtain a thermodynamically accurate ensemble of multiple protonation states with frequent state transitions. The analysis is performed with an ensemble obtained from an EDS Hamiltonian without smoothing, s = ∞, which strictly follows the minimum energy surface of the end states. The accuracy and efficiency of this method is tested on aspartic acid, lysine, and glutamic acid, which have two protonation states, a histidine with three states, a four-residue peptide with four states, and snake cardiotoxin with eight states. The pKa values estimated with the EDS-HREX method agree well with the experimental pKa values. The mean absolute errors of small benchmark systems range from 0.03 to 0.17 pKa units, and those of three titratable groups of snake cardiotoxin range from 0.2 to 1.6 pKa units. This study demonstrates that EDS-HREX is a potent theoretical framework, which gives the correct description of multiple protonation states and good calculated pKa values.

Virtual cultural heritage applications, particularly virtual museums, nowadays include various forms of storytelling. Every object, site or artifact is better perceived and understood through the adjoining story. Interactive applications naturally request the storytelling to become interactive as well. This paper describes the concepts of interactive digital storytelling in our virtual museums and cultural heritage presentations and discusses their advantages and drawbacks recognized through user evaluation. We used digital stories not only to introduce visitors with the context and information on the objects, but also to enhance their navigation through virtual environments with purpose of learning and perceiving maximum amount of offered information.

The myeloproliferative diseases (MPDs) or myelo-proliferative neoplasms (MPNs) are a group of diseases of the bone marrow in which excess cells are produced. Chronic idiopathic myelofibrosis (CIMF) is a stem cell defect characterized by splenomegaly with multiorgan extramedullary hematopoiesis, immature peripheral blood granulocytes and erythrocytes and progressive bone marrow fibrosis. The most common chromosomal abnormalities seen in CIMF patients include numerical changes of chromosomes 7, 8 and 9, and structural changes of 1q, 5q, 13q and 20q. At least 75.0% of patients with bone marrow abnormalities have one or more of these chromosomal anomalies. Detection of the Janus kinase 2 (JAK2) mutation may be a potential major breakthrough for understanding the pathobiology of MPNs, and is an essential part of the diagnostic algorithm. In this study, we describe a JAK2V617F mutation negative CIMF patient who has the chromosomal translocation t(3;12)(q26;q21) in her karyotype.

Aim: The main goal of this research is to correlate anthropometric characteristics of newborns in pregnant women who consume cigarettes during pregnancy. The study was conducted at the Obstetrics Clinic of the Clinical Center, University of Sarajevo. Methods: The retrospective study covered a period of two years. Main inclusion criteria for the study was that pregnant women consume cigarettes during pregnancy. The research included respondents who had a singleton pregnancy, without pathological conditions that can affect the outcome and duration of pregnancy. Results: At the Obstetrics Clinic, Clinical Center University of Sarajevo in the period from January 1, 2012 to December 31, 2013. In that period 393 pregnant women completed labor who in the personal history had data on smoking during pregnancy. Of the total number of subjects enrolled in this study 38.17% smoked up to 10 cigarettes a day, 33.08 % smoked up to 20 cigarettes a day, while up to 30 cigarettes per day smoked 28.75 % of respondents. Conclusion: There was a significant difference in the average values of all anthropometric parameters, in relation to the number of cigarettes consumed by the subjects during the day. We also found negative correlation in the average values of anthropometric measures and the number of cigarettes consumed (p <0.05).