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Personalized virtual heart models have demonstrated increasing potential for clinical use, although the estimation of their parameters given patient-specific data remain a challenge. Traditional physics-based modeling approaches are…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Xiajun Jiang , Sumeet Vadhavkar , Yubo Ye , Maryam Toloubidokhti , Ryan Missel , Linwei Wang

We explore an embryonic heart model that couples electrophysiology and muscle-force generation to flow induced using a $2D$ fluid-structure interaction framework based on the immersed boundary method. The propagation of action potentials…

Tissues and Organs · Quantitative Biology 2018-09-19 Nicholas A. Battista , Laura A. Miller

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

Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often computationally unfeasible due to the severe ill-posedness…

Numerical Analysis · Mathematics 2026-05-05 Edoardo Centofanti , Giovanni Ziarelli , Simone Scacchi , Luca Franco Pavarino

Virtual heart models have been proposed to enhance the safety of implantable cardiac devices through closed loop validation. To communicate with a virtual heart, devices have been driven by cardiac signals at specific sites. As a result,…

Systems and Control · Computer Science 2017-03-06 Weiwei Ai , Nitish Patel , Partha Roop , Avinash Malik , Nathan Allen , Mark L. Trew

Computational fluid dynamics (CFD) models of blood flow in the left ventricle (LV) and aorta are important tools for analyzing the mechanistic links between myocardial deformation and flow patterns. Typically, the use of image-based…

Computer-based simulations of non-invasive cardiac electrical outputs, such as electrocardiograms and body surface potential maps, usually entail severe computational costs due to the need of capturing fine-scale processes and to the…

Numerical Analysis · Mathematics 2023-08-09 Elena Zappon , Andrea Manzoni , Alfio Quarteroni

Three-dimensional (3D) cardiovascular fluid dynamics simulations typically require hours to days of computing time on a high-performance computing cluster. One-dimensional (1D) and lumped-parameter zero-dimensional (0D) models show great…

Computational Engineering, Finance, and Science · Computer Science 2022-08-12 Martin R. Pfaller , Jonathan Pham , Aekaansh Verma , Luca Pegolotti , Nathan M. Wilson , David W. Parker , Weiguang Yang , Alison L. Marsden

This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions,…

Numerical Analysis · Mathematics 2024-05-03 Mostafa Bendahmane , Youssef Ouakrim , Yassine Ouzrour , Mohamed Zagour

Three-dimensional cardiovascular fluid dynamics simulations typically require computation of several cardiac cycles before they reach a periodic solution, rendering them computationally expensive. Furthermore, there is currently no…

Computational Engineering, Finance, and Science · Computer Science 2021-06-28 Martin R. Pfaller , Jonathan Pham , Nathan M. Wilson , David W. Parker , Alison L. Marsden

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.…

Advances in computational science offer a principled pipeline for predictive modeling of cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and surgical planning. Such models can be nowadays deployed on…

Machine Learning · Computer Science 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

A central problem in biomechanical studies of personalised human left ventricular (LV) modelling is estimating the material properties and biophysical parameters from in-vivo clinical measurements in a time frame suitable for use within a…

Applications · Statistics 2019-05-16 Vinny Davies , Umberto Noè , Alan Lazarus , Hao Gao , Benn Macdonald , Colin Berry , Xiaoyu Luo , Dirk Husmeier

The liver has a unique blood supply system and plays an important role in the human blood circulatory system. Thus, hemodynamic problems related to the liver serve as an important part in clinical diagnosis and treatment. Although…

Numerical Analysis · Mathematics 2021-10-15 Ting Wu , Keqin Liu , Emily Fainman , Ying Wang

The present focus of heart flow studies is largely based on flow within the left ventricle and how this flow changes when subject to disease. However, despite recent advancements, a simple tractable model of even healthy left ventricular…

Fluid Dynamics · Physics 2019-03-18 Giuseppe Di Labbio , Lyes Kadem

3D motion estimation from cine cardiac magnetic resonance (CMR) images is important for the assessment of cardiac function and the diagnosis of cardiovascular diseases. Current state-of-the art methods focus on estimating dense…

Image and Video Processing · Electrical Eng. & Systems 2023-09-26 Qingjie Meng , Wenjia Bai , Declan P O'Regan , and Daniel Rueckert

This study performs parameter inference in a partial differential equations system of pulmonary circulation. We use a fluid dynamics network model that takes selected parameter values and mimics the behaviour of the pulmonary haemodynamics…

Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis and the study of circulatory diseases, especially to obtain data that require otherwise invasive measurements. To correctly simulate body…

Numerical model of the peripheral circulation and dynamical model of the large vessels and the heart are discussed in this paper. They combined together into the global model of blood circulation. Some results of numerical simulations…

Biological Physics · Physics 2007-12-31 S. S. Simakov , A. S. Kholodov , A. V. Evdokimov , Y. A. Kholodov

The numerical tools to simulate the bidomain model in cardiac electrophysiology are constantly developing due to the great clinical interest and scientific advances in mathematical models and computational power. The bidomain model consists…

Numerical Analysis · Mathematics 2025-11-03 Gopika P B , Peter Bastian , Nagaiah Chamakuri