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Background and Objective: Precise preoperative planning and effective physician training for coronary interventions are increasingly important. Despite advances in medical imaging technologies, transforming static or limited dynamic imaging…

Computer Vision and Pattern Recognition · Computer Science 2025-05-19 Shuo Wang , Tong Ren , Nan Cheng , Rong Wang , Li Zhang

Cerebral autoregulation plays a key physiological role by limiting blood flow changes in the face of pressure fluctuations. Although the involved cellular processes are mechanically driven, the quantification of haemodynamic forces in…

Quantitative Methods · Quantitative Biology 2024-11-15 Alberto Coccarelli , Ioannis Polydoros , Alex Drysdale , Osama F. Harraz , Chennakesava Kadapa

The cardiovascular system is composed of the heart, blood and blood vessels. Regarding the heart, cardiac conditions are determined by the electrocardiogram, that is a noninvasive medical procedure. In this work, we propose autoregressive…

Accurate three-dimensional (3D) reconstruction of cardiac chamber motion from time-resolved medical imaging modalities is of growing interest in both the clinical and biomechanical fields. Despite recent advancement, the cardiac motion…

Medical Physics · Physics 2025-04-18 Francesco Capuano , Yue-Hin Loke , Ibrahim Yildiran , Laura Olivieri , Elias Balaras

Coronary arteries and their branches supply blood to myocardium. The obstruction of coronary arteries results in significant loss of myocardium, called acute myocardial infarction, and the number one cause of death globally. Hence,…

Computational Geometry · Computer Science 2017-08-31 Jehyun Chaa , Joonghyun Ryub , Jin-Ho Choi , Deok-Soo Kim

Computational hemodynamics models are becoming increasingly useful in the management and prognosis of complex, multiscale pathologies, including those attributed to the development of pulmonary vascular disease. However, diseases like…

Tissues and Organs · Quantitative Biology 2025-06-06 Mitchel J. Colebank , Naomi C. Chesler

The combination of data and models, enhanced by AI methodologies, leads to the paradigm called Digital Twins. This concept is expected to bring unprecedented support to personalized medicine. The combination of mathematical and numerical…

Numerical Analysis · Mathematics 2026-04-29 Alessandro Veneziani , Annalisa Quaini , Marco Tezzele , Omer San , Traian Iliescu

When generating in-silico clinical electrophysiological outputs, such as electrocardiograms (ECGs) and body surface potential maps (BSPMs), mathematical models have relied on single physics, i.e. of the cardiac electrophysiology (EP),…

Numerical Analysis · Mathematics 2024-02-12 Elena Zappon , Matteo Salvador , Roberto Piersanti , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

Cardiovascular diseases are a leading cause of death in the world, driving the development of patient-specific and benchmark models for blood flow analysis. This chapter provides a theoretical overview of the main categories of Reduced…

Numerical Analysis · Mathematics 2025-10-21 Pierfrancesco Siena , Pasquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

Systematic in vivo validations of computational models of the aortic valve remain scarce, despite successful validation against in vitro data. Utilizing a combination of computed tomography and 4D flow magnetic resonance imaging data, we…

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

Electrical analogy (Lumped method) is an 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 details that…

Medical Physics · Physics 2014-11-21 Omid Ghasemalizadeh , Mohammad Reza Mirzaee , Bahar Firoozabadi , Kamran Hassani

Physics-based 0D reduced-order models provide computationally lightweight predictions of cardiovascular flows, resolving bulk hemodynamics in fractions of a second that would take days to solve using traditional 3D finite-element…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Natalia L. Rubio , Eric F. Darve , Alison L. Marsden

Investigating blood flow in the cardiovascular system is crucial for assessing cardiovascular health. Computational approaches offer some non-invasive alternatives to measure blood flow dynamics. Numerical simulations based on traditional…

Numerical Analysis · Mathematics 2024-06-07 Han Zhang , Raymond Chan , Xue-Cheng Tai

A cardiac digital twin is a virtual replica of a patient's heart for screening, diagnosis, prognosis, risk assessment, and treatment planning of cardiovascular diseases. This requires an anatomically accurate patient-specific 3D structural…

Computational fluid dynamics (CFD) can be used to simulate vascular haemodynamics and analyse potential treatment options. CFD has shown to be beneficial in improving patient outcomes. However, the implementation of CFD for routine clinical…

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

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

Numerical Analysis · Mathematics 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

Computational fluid dynamics (CFD) can be used for evaluation of hemodynamics. However, its routine use is limited by labor-intensive manual segmentation, CFD mesh creation, and time-consuming simulation. This study aims to train a deep…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Tina Yao , Endrit Pajaziti , Michael Quail , Silvia Schievano , Jennifer A Steeden , Vivek Muthurangu

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
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