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http://dx.doi.org/10.1016/j.athoracsur.2018.11.057 | DOI Listing |
Phys Rev Lett
December 2024
GISC, Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Madrid, Spain.
Recent studies of wetting in a two-component square-gradient model of interfaces in a fluid mixture, showing three-phase bulk coexistence, have revealed some highly surprising features. Numerical results show that the density profile paths, which form a tricuspid shape in the density plane, have curious geometric properties, while conjectures for the analytical form of the surface tensions imply that nonwetting may persist up to the critical end points, contrary to the usual expectation of critical point wetting. Here, we solve the model exactly and show that the profile paths are conformally invariant quartic algebraic curves that change genus at the wetting transition.
View Article and Find Full Text PDFJACC Cardiovasc Interv
December 2024
Medizinische Klinik und Poliklinik I, LMU Klinikum, LMU München, Munich, Germany; German Center for Cardiovascular Research, Partner Site Munich Heart Alliance, Munich, Germany. Electronic address:
JACC Cardiovasc Interv
December 2024
University of Virginia, Charlottesville, Virginia, USA. Electronic address: https://twitter.com/psorajja.
Ann Biomed Eng
November 2024
Department of Anesthesiology and Critical Care Medicine, Children's Hospital of Philadelphia, Philadelphia, PA, USA.
Purpose: Finite element simulations are an enticing tool to evaluate heart valve function; however, patient-specific simulations derived from 3D echocardiography are hampered by several technical challenges. The objective of this work is to develop an open-source method to enforce matching between finite element simulations and in vivo image-derived heart valve geometry in the absence of patient-specific material properties, leaflet thickness, and chordae tendineae structures.
Methods: We evaluate FEBio Finite Element Simulations with Shape Enforcement (FINESSE) using three synthetic test cases considering a range of model complexity.
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