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Purpose The aim of this study was to review our experiences with tibial lengthening over an intramedullary nail in comparison to the conventional Ilizarov method. Methods We performed a retrospective comparison of tibial lengthening using the conventional Ilizarov method (group A: 23 limbs in 13 patients) versus over a nail (group B: 51 limbs in 26 patients). The percentage increase in tibial length, lengthening index, external fixation index, consolidation index and complications were assessed. Results The mean gain in tibial length was 7.4 cm, which represents a mean increase of 26.0%. There was no difference in lengthening index or consolidation index; however, the patients in group A wore the external fixator longer than those in group B (281.5 versus 129.0 days), which represents a larger external fixation index (40.0 versus 17.4 day/cm). Group A had a higher complication rate (1.0 versus 0.47 per tibia) than group B. Conclusions Tibial lengthening over an intramedullary nail confers advantages over the conventional Ilizarov method, including shorter time needed for external fixation and lower complication rates.

Floods, storms and hurricanes are devastating for human life and agricultural cropland. Near-real-time (NRT) discharge estimation is crucial to avoid the damages from flood disasters. The key input for the discharge estimation is precipitation. Directly using the ground stations to measure precipitation is not efficient, especially during a severe rainstorm, because precipitation varies even in the same region. This uncertainty might result in much less robust flood discharge estimation and forecasting models. The use of satellite precipitation products (SPPs) provides a larger area of coverage of rainstorms and a higher frequency of precipitation data compared to using the ground stations. In this paper, based on SPPs, a new NRT flood forecasting approach is proposed to reduce the time of the emergency response to flood disasters to minimize disaster damage. The proposed method allows us to forecast floods using a discharge hydrograph and to use the results to map flood extent by introducing SPPs into the rainfall–runoff model. In this study, we first evaluated the capacity of SPPs to estimate flood discharge and their accuracy in flood extent mapping. Two high temporal resolution SPPs were compared, integrated multi-satellite retrievals for global precipitation measurement (IMERG) and tropical rainfall measurement mission multi-satellite precipitation analysis (TMPA). The two products are evaluated over the Ottawa watershed in Canada during the period from 10 April 2017 to 10 May 2017. With TMPA, the results showed that the difference between the observed and modeled discharges was significant with a Nash–Sutcliffe efficiency (NSE) of −0.9241 and an adapted NSE (ANSE) of −1.0048 under high flow conditions. The TMPA-based model did not reproduce the shape of the observed hydrographs. However, with IMERG, the difference between the observed and modeled discharges was improved with an NSE equal to 0.80387 and an ANSE of 0.82874. Also, the IMERG-based model could reproduce the shape of the observed hydrographs, mainly under high flow conditions. Since IMERG products provide better accuracy, they were used for flood extent mapping in this study. Flood mapping results showed that the error was mostly within one pixel compared with the observed flood benchmark data of the Ottawa River acquired by RadarSat-2 during the flood event. The newly developed flood forecasting approach based on SPPs offers a solution for flood disaster management for poorly or totally ungauged watersheds regarding precipitation measurement. These findings could be referred to by others for NRT flood forecasting research and applications.

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It seems the vacuum foam structure of the very early universe, together with the traversable Lorentzian wormholes inherent in it, could provide a very large statistical entropy, which means that we may easily solve the flatness problem in a big bang universe without inflation. PACS number(s): 04.20.Dw, 04.62.+v