Dynamics of fully coupled rotators with unimodal and bimodal frequency distribution

We analyze the synchronization transition of a globally coupled network of N phase oscillators with inertia (rotators) whose natural frequencies are unimodally or bimodally distributed. In the unimodal case, the system exhibits a discontinuous hysteretic transition from an incoherent to a partially synchronized (PS) state. For sufficiently large inertia, the system reveals the coexistence of a PS state and of a standing wave (SW) solution. In the bimodal case, the hysteretic synchronization transition involves several states. Namely, the system becomes coherent passing through traveling waves (TWs), SWs and finally arriving to a PS regime. The transition to the PS state from the SW occurs always at the same coupling, independently of the system size, while its value increases linearly with the inertia. On the other hand the critical coupling required to observe TWs and SWs increases with N suggesting that in the thermodynamic limit the transition from incoherence to PS will occur without any intermediate states. Finally a linear stability analysis reveals that the system is hysteretic not only at the level of macroscopic indicators, but also microscopically as verified by measuring the maximal Lyapunov exponent.Comment: 22 pages, 11 figures, contribution for the book: Control of Self-Organizing Nonlinear Systems, Springer Series in Energetics, eds E. Schoell, S.H.L. Klapp, P. Hoeve

A Monte Carlo Simulation-Based Approach to Evaluate the Performance of Three Meteorological Drought Indices in Northwest of Iran

Although meteorological drought indices are considered as important tools for drought monitoring, they are embedded with different theoretical and experimental structures. Regarding the different geographic and climatic conditions around the world, the most meteorological drought indices have been commonly applied for drought monitoring in different parts of the world. Interestingly, it is observed that such indices in the published studies on drought monitoring have usually yielded inconsistent performance. On the other hand, most studies on drought monitoring as well as the performance of drought indices has been based on short-term historical data (less than 50 years). Therefore, this study aimed to analyze and compare the performance of three common indices of SPI, RAI and PNPI to predict long-term drought events using the Monte Carlo procedure and historical data. To do this end, the 50-year recorded or historical rainfall data across 11 synoptic stations in the Northwest of Iran were employed to generate 1000 synthetic data series so that the characteristics of long-term drought might be determined and the performance of those three indices might be analyzed and compared. The results indicated a very high comparative advantage of the SPI in terms of yielding a satisfactory and detailed analysis to determine the characteristics of long-term drought. Also, the RAI indicated significant deviations from normalized natural processes. However, these results could not reasonably and sufficiently predict long-term drought. Finally, the PNPI was determined as the most uncertain and spatial index (depending on average or coefficient of variation of rainfall data) in drought monitoring

The Effect of Temperature, pH, and Different Solubilizing Agents on Stability of Taxol: Stability of taxol in solutions

Inabilities to attain adequate aqueous solubility and stability have made the preparation of a clinically suitable formulation of taxol difficult. Addition of nicotinamide (ND), 2-hydroxypropyl-b-cyclodextrin (HPßCD), polyethylene glycol, (PEG), bile salts (BS, 50:50 sodium cholate: deoxycholate), and cremophorEL can improve the solubility of taxol. Studies were undertaken to compare the stability of taxol in HPßCD (20%), ND (20%), PEG (20%), BS (20%), and cremophorEL (cremophor: ethanol 0.5% of each) solutions at 25, 37, 50, and 60 oC. Taxol concentration was measured by HPLC method. The rate of degradationproceeded in a Log-linear fashion and increased progressively with the elevation of temperature in all solutions except in HPbCD which taxol had negligible degradation. In the absence of added agents, taxol exhibited the lowest and highest stability at pH 1.2 and 4.5, respectively. Taxol was most stable in HPbCD followed by PEG and then ND. The stability of taxol increased linearly with the HPbCD concentration (0-5% w/v). Due to the observed improved stability and solubility, HPbCD may be considered for pharmaceutical studies as a suitable stabilizer for formulation of taxol

Cytotoxicity of universal dental adhesive systems: assessment in vitro assays on human gingival fibroblasts

Universal adhesives are the most important innovation in restorative dentistry. They are composed of different monomers, solvents and fillers. The potential cytotoxic effect of these materials is an important scientific aspect in recent literature. The aim of this study was to determine, using different in vitro techniques, the cytotoxicity evaluation of seven universal enamel-dental adhesives on human gingival fibroblasts. For this purpose, seven universal dental enamel adhesives have been evaluated by in vitro cytotoxicity tests using direct contact tests (an unpolymerized and a polymerized method) and an indirect contact test: preparation of extracts. The polymerized method showed a cytotoxicity range from 36% (G-PremioBond, GPB) to 79% (FuturaBond M+, FB). With the unpolymerized direct methods the range was from 4% (Prime&Bond Active, PBA) to 40% (Ibond Universal, IB) for undiluted adhesives; generally passing to the major dilutions the test showed a strong inhibitory activity by all the adhesives. Whereas with the indirect method by diluting the extracts of all dental adhesives the cell viability increased. The data obtained from the work has shown a lower cytotoxic effect of Optibond Solo Plus (OB) and Adhesive Universal (AU) with more reliable results with the extracts technique. The choice of reliable in vitro cytotoxic technique could represent, in dental practice, an important aid for clinical procedures in the use of adhesive systems

Biological effects of resin monomers on oral cell populations: descriptive analysis of literature

Aim Recently, the application of restorative materials containing metacrilate monomers in the conservative and paediatric dentistry has focused on the possible negative effects due to the use of these composites. In particular the release of monomers from reconstructions as a result of an insufficient polymerisation, can spread along the mucosal and dental tissues with potential immunological ed cytotoxic effects. Regarding to the importance of this issue, the aim of this study is to provide a descriptive review of the literature on potential local and systemic interactions of metacrylic and acrylic monomers with the immune system, both in vitro and in vivo. Results The most highly used monomers in composite materials applied in conservative dentistry include: 2-hydroessietil-methacrylate (HEMA), triethylene glycoldimethacrylate (TEGDMA), bisphenol A glycidyl-methacrylate (BisGMA) and urethane-dimethacrylate (UDMA). Different investigations have been performed for better understanding of the potential side effects of metacrylic monomers on immune system cells. Different factors such as cell population, exposure time and parameters more strictly connected to these materials, such as molecular weight, chemical composition and mechanical characteristics, seem to be directly involved in these reactions