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In this paper, we consider the numerical approximation of the quasi-static, linear Biot model in a 3D domain $\Omega$ when the right-hand side of the mass balance equation is concentrated on a 1D line source $\delta_{\Lambda}$. This model…

Numerical Analysis · Mathematics 2020-01-07 Nadia S. Taki , Ingeborg G. Gjerde

Coronary Microvascular Dysfunction (CMD) is characterized by impaired vasodilation and can lead to insufficient blood flow to the myocardium during stress or exertion, affecting millions of people globally. Despite their diagnostic value,…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Haizhou Yang , Jiyang Zhang , Ismael Z. Assi , Brahmajee K. Nallamothu , Krishna Garikipati , C. Alberto Figueroa

Cardiac arrhythmogenesis is governed by complex electromechanical interactions that are not directly observable in vivo, motivating the development of non-invasive computational approaches for reconstructing three-dimensional activation…

Medical Physics · Physics 2026-03-05 Nathan Dermul , Hans Dierckx

In this work we propose to validate the predictive capabilities of one-dimensional (1D) blood flow models with full three-dimensional (3D) models in the context of patient-specific coronary hemodynamics in hyperemic conditions. Such…

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…

Modeling cardiovascular anatomies poses a significant challenge due to their complex, irregular structures and inherent pathological conditions. Numerical simulations, while accurate, are often computationally expensive, limiting their…

Machine Learning · Computer Science 2025-03-25 Navaneeth N , Souvik Chakraborty

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

Extracting the Hamiltonian of interacting quantum-information processing systems is a keystone problem in the realization of complex phenomena and large-scale quantum computers. The remarkable growth of the field increasingly requires…

We present a numerical scheme for immiscible two-phase flows with one compressible and one incompressible phase. Special emphasis lies in the discussion of the coupling strategy for compressible and incompressible Euler equations to…

Fluid Dynamics · Physics 2015-12-11 Jochen Neusser , Veronika Schleper

The nuclear community has coupled several three-dimensional Computational Fluid Dynamics (CFD) solvers with one-dimensional system thermal-hydraulic (STH) codes. This work proposes to replace the CFD solver by a reduced order model (ROM) to…

Fluid Dynamics · Physics 2020-10-21 S. Kelbij Star , Giuseppe Spina , Francesco Belloni , Joris Degroote

Predictive high-fidelity finite element simulations of human cardiac mechanics co\-mmon\-ly require a large number of structural degrees of freedom. Additionally, these models are often coupled with lumped-parameter models of hemodynamics.…

Computational Engineering, Finance, and Science · Computer Science 2020-02-18 Martin R. Pfaller , Maria Cruz Varona , Johannes Lang , Cristóbal Bertoglio , Wolfgang A. Wall

This paper investigates two distinct approaches to the dynamic modeling of aerial continuum manipulators (ACMs): the decoupled and the coupled formulations. Both open-loop and closed-loop behaviors of a representative ACM are analyzed. The…

Robotics · Computer Science 2026-02-24 Niloufar Amiri , Shayan Sepahvand , Iraj Mantegh , Farrokh Janabi-Sharifi

We introduce a multiphysics and geometric multiscale computational model, suitable to describe the hemodynamics of the whole human heart, driven by a four-chamber electromechanical model. We first present a study on the calibration of the…

Numerical Analysis · Mathematics 2024-03-06 Alberto Zingaro , Michele Bucelli , Roberto Piersanti , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Patient-specific cardiac modeling combines geometries of the heart derived from medical images and biophysical simulations to predict various aspects of cardiac function. However, generating simulation-suitable models of the heart from…

Image and Video Processing · Electrical Eng. & Systems 2023-11-09 Fanwei Kong , Shawn Shadden

We present a novel approach to reconstruction of 3D cardiac motion from sparse intraoperative data. While existing methods can accurately reconstruct 3D organ geometries from full 3D volumetric imaging, they cannot be used during surgical…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Yihong Chen , Jiancheng Yang , Deniz Sayin Mercadier , Hieu Le , Pascal Fua

The numerical simulation of large-scale multiphase flow in porous media is of considerable importance across various application fields, particularly in the petroleum industry. The fully implicit method is preferred in reservoir simulations…

Numerical Analysis · Mathematics 2026-04-13 Shizhe Li , Li Zhao , Chen-Song Zhang

Due to the computationally demanding nature of fluid-structure interaction simulations, heart valve simulation is a complex task. A simpler alternative is to model the valve as a resistive flow obstacle that can be updated dynamically…

Tissues and Organs · Quantitative Biology 2025-12-12 Bob van der Vuurst , Jiří Kosinka , Cristóbal Bertoglio

Typical computational techniques for vascular biomechanics represent the blood vessel wall via either a membrane, a shell, or a 3D solid element. Each of these formulations has its trade offs concerning accuracy, ease of implementation, and…

Electroanatomical mapping is a technique used in cardiology to create a detailed 3D map of the electrical activity in the heart. It is useful for diagnosis, treatment planning and real time guidance in cardiac ablation procedures to treat…

Image and Video Processing · Electrical Eng. & Systems 2023-11-29 Sunil Mathew , Jasbir Sra , Daniel B. Rowe

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
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