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Published in 2020 at "Catheterization and Cardiovascular Interventions"
DOI: 10.1002/ccd.28852
Abstract: In the continuity equation, assumption of a round‐shaped left ventricular outflow tract (LVOT) leads to underestimation of the true aortic valve area in two‐dimensional echocardiography. The current study evaluated whether inclusion of the LVOT area,…
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Keywords:
computed tomography;
aortic valve;
echocardiography;
continuity equation ... See more keywords
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Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.98.052113
Abstract: The local conservation of a physical quantity whose distribution changes with time is mathematically described by the continuity equation. The corresponding time parameter, however, is defined with respect to an idealized classical clock. We consider…
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Keywords:
continuity equation;
time;
equation;
clock ... See more keywords
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Published in 2022 at "Diagnostics"
DOI: 10.3390/diagnostics12071656
Abstract: Background: The area of the left ventricular outflow tract (ALVOT) represents a major component of the continuity equation (CE), which is, i.a., crucial to calculate the aortic valve (AV) area (AAV). The ALVOT is typically…
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Keywords:
aortic valve;
continuity equation;
alvot;
volume mpr ... See more keywords
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Published in 2021 at "Fluids"
DOI: 10.3390/fluids6040162
Abstract: Professor N.E. Zhukovsky was a famous Russian mechanic and engineer. In 1876 he defended his master’s thesis at Moscow University. At a careful reading of N.E. Zhukovsky’s master’s thesis in 1997, V.A. Bubnov—a professor at…
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Keywords:
continuity equation;
order;
order smallness;
equation ... See more keywords
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Published in 2022 at "IEEE Control Systems Letters"
DOI: 10.48550/arxiv.2205.09241
Abstract: We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is pushedforward by the flow. We show that the controlled continuity equation has…
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Keywords:
continuity equation;
neural ode;
control;
continuity ... See more keywords
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Published in 2020 at "Annales Geophysicae"
DOI: 10.5194/angeo-2020-11
Abstract: Abstract. Electric fields are a ubiquitous feature of the ionosphere and are intimately linked with aurora through particle precipitation and field-aligned currents. We present a unique method to estimate ionospheric electric fields beside a dynamic…
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Keywords:
resolution;
continuity equation;
feature;
electric fields ... See more keywords
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Published in 2020 at "Annales Geophysicae"
DOI: 10.5194/angeo-38-845-2020
Abstract: Abstract. Electric fields are a ubiquitous feature of the ionosphere and are intimately linked with aurora through particle precipitation and field-aligned currents. They exhibit order-of-magnitude changes on temporal and spatial scales of seconds and kilometres…
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Keywords:
continuity equation;
fields flow;
temporal resolution;
horizontal electric ... See more keywords