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      • From Arithmetic to Algebra: Smoothing the Transition

        ( Rivera Torres ),( Adrian Andres ) 한국수학교육학회 2014 수학교육 학술지 Vol.2014 No.1

        Education in Arithmetic and Geometry is strong because those topics are considered “second nature”, so they are easily associated to real-life problems and the intuition behind their properties is easier to teach. Education in Algebra suffers because it lacks that, so the idea of this presentation is to turn it into “second nature” as well. By combining arithmetic and geometry with topics such as proportionality and the basics of modeling, it will not only improve problem-solving skills among students, but will lead to a better education in Algebra and the many topics that depend on it.

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        Ultrasound findings in peliosis hepatis

        Dong Yi,Wang Wen-Ping,Lim Adrian,이원재,Dirk-Andre Clevert,Michael Höpfner,Andrea Tannapfel,Christoph Frank Dietrich 대한초음파의학회 2021 ULTRASONOGRAPHY Vol.40 No.4

        Purpose: The aim of this study was to retrospectively evaluate contrast-enhanced ultrasound (CEUS) findings in patients with peliosis hepatis (PH). Methods: A retrospective analysis was conducted of CEUS features in 24 patients with histopathologically confirmed PH (11 men and 13 women; mean age, 32.4±7.1 years; range, 28 to 41 years). All lesions were histologically proven, either by core needle biopsy (n=10) or by hepatic surgery (n=14). Results: The mean size was 36.8±12.4 mm (range, 10 to 80 mm). On B-mode ultrasonography (BMUS), all PH lesions were heterogeneously hypoechoic, with well-defined margins but irregular shapes. No mass effect was observed. During the arterial phase of CEUS, all lesions displayed mild heterogeneous hyperenhancement (83.3%, 20/24) or isoenhancement (16.7%, 4/24). Furthermore, 87.5% of the PH lesions showed mild washout after 1 minute in the portal venous phase (30-120 seconds) and mild washout in the late phase (>120 seconds). Conclusion: The lack of a mass effect on BMUS, mild heterogeneous arterial hyperenhancement, and washout in the very late portal venous phase (after 1 minute) on CEUS are characteristic of PH. Although it is a histological diagnosis, PH should be considered in the differential diagnosis when the clinical context does not favor a malignancy or infection. Purpose: The aim of this study was to retrospectively evaluate contrast-enhanced ultrasound (CEUS) findings in patients with peliosis hepatis (PH).Methods: A retrospective analysis was conducted of CEUS features in 24 patients with histopathologically confirmed PH (11 men and 13 women; mean age, 32.4±7.1 years; range, 28 to 41 years). All lesions were histologically proven, either by core needle biopsy (n=10) or by hepatic surgery (n=14).Results: The mean size was 36.8±12.4 mm (range, 10 to 80 mm). On B-mode ultrasonography (BMUS), all PH lesions were heterogeneously hypoechoic, with well-defined margins but irregular shapes. No mass effect was observed. During the arterial phase of CEUS, all lesions displayed mild heterogeneous hyperenhancement (83.3%, 20/24) or isoenhancement (16.7%, 4/24). Furthermore, 87.5% of the PH lesions showed mild washout after 1 minute in the portal venous phase (30-120 seconds) and mild washout in the late phase (>120 seconds).Conclusion: The lack of a mass effect on BMUS, mild heterogeneous arterial hyperenhancement, and washout in the very late portal venous phase (after 1 minute) on CEUS are characteristic of PH. Although it is a histological diagnosis, PH should be considered in the differential diagnosis when the clinical context does not favor a malignancy or infection.

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