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Immersed nonlinear elements are prevalent in biological systems that require a preferential flow direction, such as the venous and the lymphatic system. We investigate here a certain class of models where the fluid is driven by peristaltic…

Fluid Dynamics · Physics 2024-11-20 Aaron Winn , Eleni Katifori

We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a…

Numerical Analysis · Mathematics 2012-04-10 Olivier Delestre , Pierre-Yves Lagrée

This Artificial left ventricle is based on a simple conic assumption shape for left ventricle where its motion is made by attached compressed elastic tubes to its walls which are regarded to electrical points at each nodal .This compressed…

Medical Physics · Physics 2014-08-05 Saeed Ranjbar , Tohid Emami Meybodi , Mahmood Emami Meybodi

The liver performs critical physiological functions, including metabolizing and removing substances, such as toxins and drugs, from the bloodstream. Hepatotoxicity itself is intimately linked to abnormal hepatic transport and hepatotoxicity…

Biological Physics · Physics 2019-08-29 Meysam Tavakoli , Konstantinos Tsekouras , Richard Day , Kenneth W. Dunn , Steve Presse

Three intra-aortic blood pumps were evaluated and compared using CFD simulations. The aim of this study is to evaluate the hemodynamic performance and calculate the hemolytic potential of the pumps. The flow fields generated by the pumps…

Medical Physics · Physics 2026-03-31 Osman Aycan , Yeojin Park , Lyes Kadem

Background: We investigated clinical information underneath the beat-to-beat fluctuation of the arterial blood pressure (ABP) waveform morphology. We proposed the Dynamical Diffusion Map algorithm (DDMap) to quantify the variability of…

Quantitative Methods · Quantitative Biology 2023-07-04 Shen-Chih Wang , Chien-Kun Ting , Cheng-Yen Chen , Chin-Su Liu , Niang-Cheng Lin , Che-Chuan Loon , Hau-Tieng Wu , Yu-Ting Lin

Vortical blood flow in the human left ventricular (LV) inflow initiates from the mitral valve (MV) and evolves within the LV during diastolic E-filling. Hence, vortical flow links MV and LV hemodynamics. This study sought to elucidate and…

We developed a novel patient-specific computational model for the numerical simulation of ventricular electromechanics in patients with ischemic cardiomyopathy (ICM). This model reproduces the activity both in sinus rhythm (SR) and in…

A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow in compliant vessels. In this paper, a 1D blood flow model is incorporated with a Kelvin-Voigt viscoelastic arterial wall. This leads to a nonlinear…

Medical Physics · Physics 2014-09-17 Xiaofei Wang , Jose-Maria Fullana , Pierre-Yves Lagrée

In this work, we develop patient-specific cardiocirculatory models with the aim of building Digital Twins for hypertension. In particular, in our pathophysiology-based framework, we consider both 0D cardiocirculatory models and a 3D-0D…

Numerical Analysis · Mathematics 2025-11-27 Simone Celora , Andrea Tonini , Francesco Regazzoni , Luca Dede' , Gianfranco Parati , Alfio Quarteroni

It is well known that in the computational fluid dynamics simulations related to the cardiovascular system the enforcement of outflow boundary conditions is a crucial point. In fact, they highly affect the computed flow and a wrong setup…

Fluid Dynamics · Physics 2025-03-05 Zahra Mirzaiyan , Michele Girfoglio , Gianluigi Rozza

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

The nonlinear inviscid 1D blood flow equations are studied analytically using the method of characteristics. The boundary value problem with a triangle-shaped boundary data at the aortic outlet is considered. The pressure-velocity profile,…

Computational Physics · Physics 2019-01-10 Oleg Ilyin

The laboratory models of the human heart left ventricle developed in the last decades gave a valuable contribution to the comprehension of the role of the fluid dynamics in the cardiac function and to support the interpretation of the data…

Fluid Dynamics · Physics 2014-07-29 S. Fortini , G. Querzoli , S. Espa , A. Cenedese

We develop two mathematical lumped parameter models for blood pressure distribution in the Fontan blood flow circulation: an ODE based spatially homogeneous model and a PDE based spatially inhomogeneous model. We present numerical…

Analysis of PDEs · Mathematics 2018-06-08 J. P. Keener , M. Chugunova , R. M. Taranets , M. G. Doyle

Mathematical models for physiological processes aid qualitative understanding of the impact of various parameters on the underlying process. We analyse two such models for human physiological processes: the Mackey-Glass and the Lasota…

Systems and Control · Computer Science 2018-10-12 Sreelakshmi Manjunath , Gopal Krishna Kamath , Gaurav Raina

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

Numerical models are increasingly used for non-invasive diagnosis and treatment planning in coronary artery disease, where service-based technologies have proven successful in identifying hemodynamically significant and hence potentially…

Medical Physics · Physics 2020-05-01 Jongmin Seo , Casey Fleeter , Andrew M. Kahn , Alison L. Marsden , Daniele E. Schiavazzi

Motivated by the reported peculiar dynamics of a red blood cell in shear flow, we develop an analytical theory for the motion of a nearly--spherical fluid particle enclosed by a visco--elastic incompressible interface in linear flows. The…

Fluid Dynamics · Physics 2010-07-06 Petia M. Vlahovska , Yuan-nan Young , Gerrit Danker , Chaouqi Misbah

Pathologists comprehensive evaluation of donor liver biopsies provides crucial information for accepting or discarding potential grafts. However, rapidly and accurately obtaining these assessments intraoperatively poses a significant…

Image and Video Processing · Electrical Eng. & Systems 2025-06-05 Liangrui Pan , Xingchen Li , Zhongyi Chen , Ling Chu , Shaoliang Peng