What is the meaning of these numbers? Answer: Set the disk into rotation byĪpplication of a force at 1 cm from its axis it will have aĬertain angular acceleration. we will omit the calculation - which is M This fact is expressed by the moment of inertia S mr 2 The first cases is quite a different body from that in the secondĬase. Regards the distribution of the mass about the axis, the disk in Second case many fewer points remain at rest. Rest, as has one diameter (2 r) of the disk, in the Points have the distance zero from the axis. , but in the case of the axis BB', all points on the Have the largest distance - we ignore the thickness of the disk! In the case of the axis AA', only two points (**) Largest distance which a point can have from the axis is rĬm. The disk is r cm, then, for example, in both cases the They are distributed differently aboutĮach of the axes AA' and BB'. The line through these points, you are also interested in which two points are to be held fixed - in other words, youĪlso want to know how its M kilograms are distributed around the axis. You want to keep two points of it fixed and rotate it about Interested in the number of kilograms it contains. Inertia of the body with respect to the instantaneous The sum over all mass points and always for that axis about which the body then rotates. 107, the sum only involves three mass points, in the case The same body with respect to different axes of rotation. Manifests the difference of the grouping of the mass points of The same mass points m move in both cases, but aboutĭifferent axes with the distances r and r. Relating to the axes A and A' side by side, you note that the difference between the two The end of unit time the angular velocity w, the forceġ cm from the axis A'A'. M 3 as it rotates about the axis A'A' will attain at M 3 is now to take place with the angular acceleration w about Further studies are needed to confirm our data and assess their prognostic value in other liver diseases.To each axis of rotation corresponds a moment of inertia. pSWE is a promising tool for the prediction of LREs in patients with viral hepatitis, particularly those with chronic HCV. Conclusion: Our study shows good comparability between pSWE and TE. In Cox regression analysis, pSWE independently predicted LREs in all patients with HCV (hazard ratio, 17.9 95% CI, 5.21-61-17 P < 0.0001) and those who later received direct-acting antiviral therapy (hazard ratio, 17.11 95% CI, 3.88-75.55 P = 0.0002). In patients with HCV, the area under the receiver operating characteristic curve for pSWE and TE to predict LREs were comparable: 0.859 (95% confidence interval, 0.747-0.969) and 0.852 (95% CI, 0.737-0.967) ( P = 0.93). In both patients with hepatitis B virus and hepatitis C virus (HCV), pSWE showed significant correlations with noninvasive tests and TE, and median pSWE and TE values were significantly different between patients with LREs and patients without LREs (both P < 0.0001). LRE occurred in 28 patients (11%) during follow-up. A total of 254 patients with a median follow-up of 78 months were included in the study. The performance of pSWE and TE to predict LREs was assessed by calculating the area under the receiver operating characteristic curve and a Cox proportional-hazards regression model. pSWE was performed at study inclusion and compared with liver histology, transient elastography (TE), and serologic biomarkers (aspartate aminotransferase to platelet ratio index, Fibrosis-4, FibroTest). The aim of our study was to assess the ability of point shear-wave elastography (pSWE) using acoustic radiation force impulse imaging for the prediction of the following liver-related events (LREs): new diagnosis of HCC, liver transplantation, or liver-related death (hepatic decompensation was not included as an LRE). Chronic viral hepatitis is associated with substantial morbidity and mortality worldwide.
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