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Internet of Things, Smart Spaces, and Next Generation Networks and Systems
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Network-theoretic modeling of fluid–structure interactions
Equations of Motion for Incompressible Viscous Fluids
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Possible Assessment of Calf Venous Pump Efficiency by Computational Fluid Dynamics Approach
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Optimized Schwarz methods for the coupling of cylindrical geometries along the axial direction
Giacomo Gigante and Christian Vergara ESAIM: Mathematical Modelling and Numerical Analysis 52(4) 1597 (2018) https://doi.org/10.1051/m2an/2018039
Investigation of the backflows and outlet boundary conditions for computations of the patient-specific aortic valve flows
Miglė Staškūnienė, Arnas Kačeniauskas, Algirdas Maknickas, et al. Technology and Health Care 26 553 (2018) https://doi.org/10.3233/THC-182502
The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
Identification of DVT diseases using numerical simulations
M. Simão, J. M. Ferreira, J. Mora-Rodriguez and H. M. Ramos Medical & Biological Engineering & Computing 54(10) 1591 (2016) https://doi.org/10.1007/s11517-015-1446-9
Geometric multiscale modeling of the cardiovascular system, between theory and practice
Multiscale coupling of compliant and rigid walls blood flow models
Tatiana Dobroserdova, Maxim Olshanskii and Sergey Simakov International Journal for Numerical Methods in Fluids 82(12) 799 (2016) https://doi.org/10.1002/fld.4241
Modified Navier–Stokes equations for the outflow boundary conditions in hemodynamics
A stable approach for coupling multidimensional cardiovascular and pulmonary networks based on a novel pressure‐flow rate or pressure‐only Neumann boundary condition formulation
M. Ismail, V. Gravemeier, A. Comerford and W.A. Wall International Journal for Numerical Methods in Biomedical Engineering 30(4) 447 (2014) https://doi.org/10.1002/cnm.2611
An efficient semi‐implicit method for three‐dimensional non‐hydrostatic flows in compliant arterial vessels
Francesco Fambri, Michael Dumbser and Vincenzo Casulli International Journal for Numerical Methods in Biomedical Engineering 30(11) 1170 (2014) https://doi.org/10.1002/cnm.2651
Fluid-Structure Interaction and Biomedical Applications
Céline Grandmont, Mária Lukáčová-Medvid’ová and Šárka Nečasová Advances in Mathematical Fluid Mechanics, Fluid-Structure Interaction and Biomedical Applications 1 (2014) https://doi.org/10.1007/978-3-0348-0822-4_1
A tangential regularization method for backflow stabilization in hemodynamics
Explicit Coupling Schemes for a Fluid-Fluid Interaction Problem Arising in Hemodynamics
Miguel A. Fernández, Jean-Frédéric Gerbeau and Saverio Smaldone SIAM Journal on Scientific Computing 36(6) A2557 (2014) https://doi.org/10.1137/130948653
Kinematic splitting algorithm for fluid–structure interaction in hemodynamics
M. Lukáčová-Medvid’ová, G. Rusnáková and A. Hundertmark-Zaušková Computer Methods in Applied Mechanics and Engineering 265 83 (2013) https://doi.org/10.1016/j.cma.2013.05.025
Validation of an open source framework for the simulation of blood flow in rigid and deformable vessels
T. Passerini, A. Quaini, U. Villa, A. Veneziani and S. Canic International Journal for Numerical Methods in Biomedical Engineering 29(11) 1192 (2013) https://doi.org/10.1002/cnm.2568
Numerical Comparison and Calibration of Geometrical Multiscale Models for the Simulation of Arterial Flows
Mathematical Model of Blood Flow in an Anatomically Detailed Arterial Network of the Arm
Sansuke M. Watanabe, Pablo J. Blanco and Raúl A. Feijóo ESAIM: Mathematical Modelling and Numerical Analysis 47(4) 961 (2013) https://doi.org/10.1051/m2an/2012053
High resolution methods for scalar transport problems in compliant systems of arteries
Susana Ramalho, Alexandra B. Moura, Alberto M. Gambaruto and Adélia Sequeira Lecture Notes on Mathematical Modelling in the Life Sciences, Mathematical Methods and Models in Biomedicine 149 (2013) https://doi.org/10.1007/978-1-4614-4178-6_6
State observers of a vascular fluid–structure interaction model through measurements in the solid
C. Bertoglio, D. Chapelle, M.A. Fernández, J.-F. Gerbeau and P. Moireau Computer Methods in Applied Mechanics and Engineering 256 149 (2013) https://doi.org/10.1016/j.cma.2012.12.010
A finite element solver and energy stable coupling for 3D and 1D fluid models
Fractional-Step Schemes for the Coupling of Distributed and Lumped Models in Hemodynamics
Cristóbal Bertoglio, Alfonso Caiazzo and Miguel A. Fernández SIAM Journal on Scientific Computing 35(3) B551 (2013) https://doi.org/10.1137/120874412
Implicit Coupling of One-Dimensional and Three-Dimensional Blood Flow Models with Compliant Vessels
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On the continuity of mean total normal stress in geometrical multiscale cardiovascular problems
Modeling Hemodynamics in Vascular Networks Using a Geometrical Multiscale Approach: Numerical Aspects
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On the physical consistency between three-dimensional and one-dimensional models in haemodynamics
A novel formulation for Neumann inflow boundary conditions in biomechanics
Volker Gravemeier, Andrew Comerford, Lena Yoshihara, Mahmoud Ismail and Wolfgang A. Wall International Journal for Numerical Methods in Biomedical Engineering 28(5) 560 (2012) https://doi.org/10.1002/cnm.1490
Sensitivity to outflow boundary conditions and level of geometry description for a cerebral aneurysm
S. Ramalho, A. Moura, A.M. Gambaruto and A. Sequeira International Journal for Numerical Methods in Biomedical Engineering 28(6-7) 697 (2012) https://doi.org/10.1002/cnm.2461
An Immersed Boundary Heart Model Coupled with a Multicompartment Lumped Model of the Circulatory System
Augmented Lagrangian method for constraining the shape of velocity profiles at outlet boundaries for three-dimensional finite element simulations of blood flow
H.J. Kim, C.A. Figueroa, T.J.R. Hughes, K.E. Jansen and C.A. Taylor Computer Methods in Applied Mechanics and Engineering 198(45-46) 3551 (2009) https://doi.org/10.1016/j.cma.2009.02.012
Coupling 3D and 1D fluid–structure‐interaction models for wave propagation in flexible vessels using a finite volume pressure‐correction scheme