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The introduction of computational models in cardiovascular sciences has been progressively bringing new and unique tools for the investigation of the physiopathology. Together with the dramatic improvement of imaging and measuring devices…

Mathematical modeling at the level of the full cardiovascular system requires the numerical approximation of solutions to a one-dimensional nonlinear hyperbolic system describing flow in a single vessel. This model is often simulated by…

Computational Physics · Physics 2015-04-22 Sebastian Acosta , Charles Puelz , Beatrice Riviere , Daniel J. Penny , Craig G. Rusin

This paper worked towards modeling blood platelets. Blood platelets, also known as thrombocytes, play a key role in blood clotting which is a vital human function. Furthermore, the role of these entities in strokes, myocardial infarctions,…

Cell Behavior · Quantitative Biology 2012-06-05 Vijay Viswanathan , Seetha Pothapragada

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

Numerical simulations of real-world phenomena require a computational scheme and a computational domain. In the context of haemodynamics, the computational domain is the blood vessel network through which blood flows. Such networks contain…

Discrete Mathematics · Computer Science 2025-02-19 Jay Aodh Mackenzie , Megan Jeanne Miller , Nicholas Hill , Mette Olufsen

Fast and realistic coupling of blood flow and vessel wall is of great importance to virtual surgery. In this paper, we propose a novel data-driven coupling method that formulates physics-based blood flow simulation as a regression problem,…

Graphics · Computer Science 2019-01-25 Xuejie Mai , Zhiyong Yuan , Qianqian Tong , Tianchen Yuan , Jianhui Zhao

Cardiovascular diseases (CVDs) are the leading causes of mortality worldwide. The contraction and relaxation of left ventricle (LV) is the main driving force of blood circulation. Altered LV hemodynamics is believed to be associated with…

Medical Physics · Physics 2019-11-04 Fanwei Kong , Christoph Augustin , Kevin Sack , Shawn Shadden

Understanding the interaction between the valves and walls of the heart is important in assessing and subsequently treating heart dysfunction. With advancements in cardiac imaging, nonlinear mechanics and computational techniques, it is now…

Medical Physics · Physics 2017-04-07 Hao Gao , Liuyang Feng , Nan Qi , Colin Berry , Boyce Griffith , Xiaoyu Luo

Blood system functions are very diverse and important for most processes in human organism. One of its primary functions is matter transport among different parts of the organism including tissue supplying with oxygen, carbon dioxide…

Biological Physics · Physics 2007-12-31 A. S. Kholodov , S. S. Simakov , Y. A. Kholodov , A. A. Nadolsky , A. N. Shushlebin

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

Computational models are increasingly used for diagnosis and treatment of cardiovascular disease. To provide a quantitative hemodynamic understanding that can be effectively used in the clinic, it is crucial to quantify the variability in…

Computational Engineering, Finance, and Science · Computer Science 2021-02-02 Xue Li , Daniele E. Schiavazzi

Mathematical modeling of cardiac function can provide augmented simulation-based diagnosis tool for complementing and extending human understanding of cardiac diseases which represent the most common cause of worldwide death. As the…

Computational Engineering, Finance, and Science · Computer Science 2021-05-05 Chi Zhang , Jianhang Wang , Massoud Rezavand , Dong Wu , Xiangyu Hu

The paper develops a solver based on a conforming finite element method for a 3D--1D coupled incompressible flow problem. New coupling conditions are introduced to ensure a suitable bound for the cumulative energy of the model. We study the…

Computational Physics · Physics 2013-04-08 Tatiana K. Dobroserdova , Maxim A. Olshanskii

Computer simulation is an important tool for scientific progress, especially when lab experiments are either extremely costly and difficult or lack the required resolution. However, all of the simulation methods come with limitations. In…

Fluid Dynamics · Physics 2023-08-04 Edward R. Smith , Panagiotis E. Theodorakis

Zero-dimensional (0D) cardiovascular models are reduced-order models used to study global circulation dynamics and transport. They provide estimates of biomarkers (such as pressure, flow rates, and concentrations) for surgery planning and…

Numerical Analysis · Mathematics 2025-11-14 John M. Hanna , Pavlos Varsos , Jérôme Kowalski , Lorenzo Sala , Roel Meiburg , Irene E. Vignon-Clementel

Medicine is moving from a curative discipline to a preventative discipline relying on personalised and precise treatment plans. The complex and multi level pathophysiological patterns of most diseases require a systemic medicine approach…

Computational Engineering, Finance, and Science · Computer Science 2020-07-21 Pietro Barbiero , Pietro Lió

Predictive modeling of blood flow and pressure have numerous applications ranging from non-invasive assessment of functional significance of disease to planning invasive procedures. While several such predictive modeling techniques have…

The availability of digital twins for the cardiovascular system will enable insightful computational tools both for research and clinical practice. This, however, demands robust and well defined models and methods for the different steps…

Computational Engineering, Finance, and Science · Computer Science 2024-11-21 Pau Romero , Abel Pedrós , Rafael Sebastian , Miguel Lozano , Ignacio García-Fernández

Digital twins for cardiac electrophysiology are an enabling technology for precision cardiology. Current forward models are advanced enough to simulate the cardiac electric activity under different pathophysiological conditions and…

Optimization and Control · Mathematics 2025-05-05 Thomas Grandits , Karli Gillette , Gernot Plank , Simone Pezzuto

Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational tools. Despite the dedicated…