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Valvular heart diseases are growing concern in impoverished parts of the world, such as Southern-Africa, claiming more than 31 % of total deaths related to cardiovascular diseases. The ability to model the effects of regurgitant and…

Medical Physics · Physics 2022-04-11 Ryno Laubscher , Jacques Liebenberg , Philip Herbst

This paper presents a new method for modeling the mechanics of the aortic valve, and simulates its interaction with blood. As much as possible, the model construction is based on first principles, but such that the model is consistent with…

Tissues and Organs · Quantitative Biology 2021-10-15 Alexander D. Kaiser , Rohan Shad , William Hiesinger , Alison L. Marsden

To address the issue of computational efficiency related to the modelling of blood flow in complex networks, we derive a family of nonlinear lumped-parameter models for blood flow in compliant vessels departing from a well-established…

Numerical Analysis · Mathematics 2022-01-06 Beatrice Ghitti , Eleuterio F. Toro , Lucas O. Müller

Usually, clinicians assess the correct hemodynamic behavior and fetal well-being during the gestational age thanks to their professional expertise, with the support of some indices defined for Doppler fetal waveforms. Although this approach…

The aortic valve is a three-leaflet passive structure that, driven by pressure differences between the left ventricle and the aorta, opens and closes during the heartbeat to ensure the correct stream direction and flow rate. In elderly…

Fluid Dynamics · Physics 2021-03-30 Francesco Viola , Valentina Meschini , Roberto Verzicco

The simulation of blood flow and pressure in arteries requires outflow boundary conditions that incorporate models of downstream domains. We previously described a coupled multidomain method to couple analytical models of the downstream…

Medical Physics · Physics 2020-07-17 Irene Vignon-Clementel , C. A. Figueroa , K. E. Jansen , C. A. Taylor

Atrial fibrillation (AF) consequences on the heart valve dynamics are usually studied along with a valvular disfunction or disease, since in medical monitoring the two pathologies are often concomitant. Aim of the present work is to study,…

Fluid Dynamics · Physics 2015-10-27 Stefania Scarsoglio , Carlo Camporeale , Andrea Guala , Luca Ridolfi

In this paper, we introduce an adapted one-dimensional (1D) reduced model aimed at analyzing blood flow within stenosed arteries. Differing from the prevailing 1D model \cite{Formaggia2003, Sherwin2003_2, Sherwin2003, Quarteroni2004,…

Numerical Analysis · Mathematics 2024-09-25 Suncica Canic , Shihan Guo , Yifan Wang , Xiaohe Yue , Haibiao Zheng

Lumped method (Electrical analogy) is a quick and easy way to model human cardiovascular system. In this paper Lumped method is used for simulating a complete model. It describes a 36-vessel model and cardiac system of human body with…

A new two-dimensional model for blood flows in arteries with arbitrary cross sections is derived. The model consists of a system of balance laws for conservation of mass and balance of momentum in the axial and angular directions. The…

Numerical Analysis · Mathematics 2021-08-23 Cesar Alberto Rosales-Alcantar , Gerardo Hernandez-Duenas

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies that contain numerous junctions or pathological conditions.…

Subclinical leaflet thrombosis (SLT) is a potentially serious complication of aortic valve replacement with a bioprosthetic valve in which blood clots form on the replacement valve. SLT is associated with increased risk of transient…

Medical therapy for patients with severe heart disease often relies on left ventricular assist devices (LVADs). It is an ongoing topic of research how complications like stagnation and thrombosis can be prevented by using artificial…

Fluid Dynamics · Physics 2025-03-31 Maximilian R. Schuster , Nico Dirkes , Fabian Key , Stefanie Elgeti , Marek Behr

Mechanical heart valve replacement is the preferred alternative in younger patients with severe symptomatic aortic valve disease. However, thrombus and pannus formations are common complications associated with bileaflet mechanical heart…

Medical Physics · Physics 2019-11-14 Ahmed Darwish , Giuseppe Di Labbio , Wael Saleh , Othman Smadi , Lyes Kadem

We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier-Stokes equations. Our algorithm is based on an approximated…

Numerical Analysis · Mathematics 2021-04-07 Luca Pegolotti , Martin Pfaller , Alison Marsden , Simone Deparis

Zero-dimensional cardiovascular models provide a computationally efficient framework for studying global hemodynamic behavior, yet the influence of model complexity on parameter sensitivity remains insufficiently understood. This work…

Medical Physics · Physics 2026-01-05 Pranav Kumar Sasikumar

Numerical simulations of pulsatile blood flow in an aortic coarctation require the use of turbulence modeling. This paper considers three models from the class of large eddy simulation (LES) models (Smagorinsky, Vreman,…

Computational Engineering, Finance, and Science · Computer Science 2022-09-02 Sarah Katz , Alfonso Caiazzo , Baptiste Moreau , Ulrich Wilbrandt , Jan Brüning , Leonid Goubergrits , Volker John

Patient-specific modeling of cardiovascular flows with high-fidelity is challenging due to its dependence on accurately estimated velocity boundary profiles, which are essential for precise simulations and directly influence wall shear…

Numerical Analysis · Mathematics 2024-11-28 Kabir Bakhshaei , Sajad Salavatidezfouli , Giovanni Stabile , Gianluigi Rozza

An improved one-dimensional mathematical model based on Pulsed Flow Equations (PFE) is derived by integrating the axial component of the momentum equation over the transient Womersley velocity profile, providing a dynamic momentum equation…

Fluid Dynamics · Physics 2012-12-04 Omer San , Anne E. Staples

In this work, we present mixed dimensional models for simulating blood flow and transport processes in breast tissue and the vascular tree supplying it. These processes are considered, to start from the aortic inlet to the capillaries and…

Tissues and Organs · Quantitative Biology 2022-10-10 Marvin Fritz , Tobias Köppl , J. Tinsley Oden , Andreas Wagner , Barbara Wohlmuth , Chengyue Wu
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