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Background: How can mathematics help us to understand the mechanism of the cardiac motion? The best known approach is to take a mathematical model of the fibered structure, insert it into a more-or-less complex model of cardiac…

医学物理 · 物理学 2014-06-25 Saeed Ranjbar , Mersedeh Karvandi

The left atrium (LA) plays a pivotal role in modulating left ventricular filling, but our comprehension of its hemodynamics is significantly limited by the constraints of conventional ultrasound analysis. 4D flow magnetic resonance imaging…

Models of electrical excitation and recovery in the heart have become increasingly detailed, but have yet to be used routinely in the clinical setting to guide personalized intervention in patients. One of the main challenges is calibrating…

A deep latent variable model is a powerful method for capturing complex distributions. These models assume that underlying structures, but unobserved, are present within the data. In this dissertation, we explore high-dimensional problems…

机器学习 · 计算机科学 2024-06-13 Khuong Vo

An one-parameter dynamical system is associated to the mathematical problem governing the membrane excitability of a ventricular cardiomyocyte, according to the Luo-Rudy I model. Limit cycles are described by the solutions of an extended…

The embodied learning of human motor control requires whole-body neuro-actuated musculoskeletal dynamics, while the internal muscle-driven processes underlying movement remain inaccessible to direct measurement. Computational modeling…

机器人学 · 计算机科学 2026-04-01 Yunyue Wei , Chenhui Zuo , Shanning Zhuang , Haixin Gong , Yaming Liu , Yanan Sui

The growing importance of real-time simulation in the medical field has exposed the limitations and bottlenecks inherent in the digital representation of complex biological systems. This paper presents a novel methodology aimed at advancing…

机器学习 · 计算机科学 2024-12-17 Lucas Tesán , David González , Pedro Martins , Elías Cueto

Parameterizing mathematical models of biological systems often requires fitting to stable periodic data. In cardiac electrophysiology this typically requires converging to a stable action potential through long simulations. We explore this…

定量方法 · 定量生物学 2025-01-16 Matt J Owen , Gary R Mirams

Atlas-based approaches allow high-quality, patient-specific shape reconstructions of cardiac anatomy from sparse and/or noisy data such as point clouds. However, these methods are mainly prior-driven, so the impact of uncertainty can be…

图像与视频处理 · 电气工程与系统科学 2026-05-11 Jan Verhülsdonk , Thomas Grandits , Francisco Sahli Costabal , Thomas Beiert , Simone Pezzuto , Alexander Effland

The ability to map left ventricle (LV) myocardial motion using computed tomography angiography (CTA) is essential to diagnosing cardiovascular conditions and guiding interventional procedures. Due to their inherent locality, conventional…

图像与视频处理 · 电气工程与系统科学 2024-11-08 Shahar Zuler , Shai Tejman-Yarden , Dan Raviv

Cardiac biosignals, such as electrocardiograms (ECG) and photoplethysmograms (PPG), are of paramount importance for the diagnosis, prevention, and management of cardiovascular diseases, and have been extensively used in a variety of…

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…

机器学习 · 计算机科学 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

Contemporary realistic mathematical models of single-cell cardiac electrical excitation are immensely detailed. Model complexity leads to parameter uncertainty, high computational cost and barriers to mechanistic understanding. There is a…

组织与器官 · 定量生物学 2022-02-28 Muhamad H. N. Aziz , Radostin D. Simitev

Accurate and efficient modeling of cardiac blood flow is crucial for advancing data-driven tools in cardiovascular research and clinical applications. Recently, the accuracy and availability of computational fluid dynamics (CFD)…

流体动力学 · 物理学 2025-07-30 Eneko Lazpita , Jesus Garicano-Mena , Soledad Le Clainche

Patient-specific hemodynamics assessment could support diagnosis and treatment of neurovascular diseases. Currently, conventional medical imaging modalities are not able to accurately acquire high-resolution hemodynamic information that…

Myocardial infarction (MI) is one of the most prevalent cardiovascular diseases with associated clinical decision-making typically based on single-valued imaging biomarkers. However, such metrics only approximate the complex 3D structure…

计算机视觉与模式识别 · 计算机科学 2023-07-17 Marcel Beetz , Yilong Yang , Abhirup Banerjee , Lei Li , Vicente Grau

Computational fluid dynamics (CFD) simulations of complex fluid flows in energy systems are prohibitively expensive due to strong nonlinearities and multiscale-multiphysics interactions. In this work, we present a transformer-based modeling…

流体动力学 · 物理学 2026-04-06 Kiran Yalamanchi , Shivam Barwey , Ibrahim Jarrah , Pinaki Pal

The field of cardiac electrophysiology tries to abstract, describe and finally model the electrical characteristics of a heartbeat. With recent advances in cardiac electrophysiology, models have become more powerful and descriptive as ever.…

医学物理 · 物理学 2022-12-16 Thomas Grandits , Simone Pezzuto , Gernot Plank

The multi-cellular hydrodynamic interactions play a critical role in the phenomenology of blood flow in the microcirculation. A fast algorithm has been developed to simulate large numbers of cells modeled as elastic thin membranes. For red…

流体动力学 · 物理学 2008-10-14 Amir H. G. Isfahani , Hong Zhao , Jonathan B. Freund

Research on untethered micro-swimming robots is growing fast owing to their potential impact on minimally invasive medical procedures. Candidate propulsion mechanisms of robots are based on flagellar mechanisms of microorganisms such as…

流体动力学 · 物理学 2017-10-20 Ahmet Fatih Tabak , Serhat Yesilyurt