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Although atrial fibrillation (AF), a common arrhythmia, frequently presents in patients with underlying valvular disease, its hemodynamic contributions are not fully understood. The present work aimed to computationally study how physical…

In this paper, we present a mathematical and numerical model for blood solidification and its rupture in stenosed arteries. The interaction between the blood flow and an existing stenosis in the arterial wall is modeled as a three…

Numerical Analysis · Mathematics 2020-05-15 Fatima Abbas , Ayman Mourad

A recently introduced cellular automaton model for the description of traffic flow is investigated. It generalises asymmetric exclusion models which have attracted a lot of interest in the past. We calculate the so-called fundamental…

Condensed Matter · Physics 2009-10-22 A. Schadschneider , M. Schreckenberg

The goal of this article is to describe the concepts of system dynamics and its applications to the simulation modeling of financial institutions daily activity. The hybrid method of the re-engineering of banking business processes based…

General Finance · Quantitative Finance 2009-12-08 Mikhail I. Rumyantsev

Detection and monitoring of patients with pulmonary hypertension, defined as mean blood pressure in the main pulmonary artery above 25 mmHg, requires a combination of imaging and hemodynamic measurements. This study demonstrates how to…

Quantitative Methods · Quantitative Biology 2020-02-21 Megan J. Chambers , Mitchel J. Colebank , M Umar Qureshi , Rachel Clipp , Mette S. Olufsen

The prediction of the behavior of the disease, the level of affectation in a population and the ways to control it are the most important aspects studied by epidemiology using tools such as historical data and mathematical models. So, our…

Dynamical Systems · Mathematics 2022-04-04 Jorge Andrés Ibáñez Huertas , Carlos Isaac Zainea Maya

Hemostasis and thrombosis are often thought as two sides of the same clotting mechanism whereas hemostasis is a natural protective mechanism to prevent bleeding and thrombosis is a blood clot abnormally formulated inside a blood vessel,…

Tissues and Organs · Quantitative Biology 2019-11-19 Limei Cheng , Guo-Wei Wei , Tarek Leil

Two crucial factors for accurate numerical simulations of cardiac electromechanics, which are also essential to reproduce the synchronous activity of the heart, are: i) accounting for the interaction between the heart and the circulatory…

In this paper we provide the numerical simulations of two cerebrospinal fluid dynamics models by comparing our results with the real data available in literature. The models describe different processes in the cerebrospinal fluid dynamics:…

Analysis of PDEs · Mathematics 2018-11-07 Donatella Donatelli , Pierangelo Marcati , Licia Romagnoli

This limited review is intended as an introduction to the fast growing subject of mathematical modelling of cell metabolism and its biochemical pathways, and more precisely on pathways linked to apoptosis of cancerous cells. Some basic…

Molecular Networks · Quantitative Biology 2013-10-03 Bernard Ycart , Frédéric Pont , Jean-Jacques Fournié

This PhD thesis develops an integrated mathematical model for autonomic nervous system control on cardiovascular activity. The model extensively covers cardiovascular neural pathways including a wide range of afferent sensory neurons,…

Tissues and Organs · Quantitative Biology 2019-01-18 Michel Kana

Hematopoiesis is a complex biological process that leads to the production and regulation of blood cells. It is based upon differentiation of stem cells under the action of growth factors. A mathematical approach of this process is proposed…

Classical Analysis and ODEs · Mathematics 2009-04-17 Mostafa Adimy , Fabien Crauste , Shigui Ruan

Mathematical models for physiological processes aid qualitative understanding of the impact of various parameters on the underlying process. We analyse two such models for human physiological processes: the Mackey-Glass and the Lasota…

Systems and Control · Computer Science 2018-10-12 Sreelakshmi Manjunath , Gopal Krishna Kamath , Gaurav Raina

Image-based computer simulation of cardiac function can be used to probe the mechanisms of (patho)physiology, and guide diagnosis and personalized treatment of cardiac diseases. This paradigm requires constructing simulation-ready meshes of…

Image and Video Processing · Electrical Eng. & Systems 2021-07-23 Fanwei Kong , Shawn C. Shadden

Macroscopic traffic simulations are based on coupled non-linear partial differential equations, the solutions of which are either shock-like or inhomogeneous with steep gradients, at least in the interesting density regime. We discuss…

Soft Condensed Matter · Physics 2007-05-23 Dirk Helbing , Martin Treiber

This study uses a one dimensional fluid dynamics arterial network model to infer changes in hemodynamic quantities associated with pulmonary hypertension in mice. Data for this study include blood flow and pressure measurements from the…

This paper presents the principal challenges and opportunities associated with computational biomechanics research. The underlying cognitive control involved in the process of human motion is inherently complex, dynamic, multidimensional,…

Many works in biomedical computer science research use machine learning techniques to give accurate results. However, these techniques may not be feasible for real-time analysis of data pulled from live hospital feeds. In this project,…

Machine Learning · Computer Science 2022-08-23 Samuel Armstrong

We present a Lagrangian analysis of turbulent blood flow in the human left heart using high-fidelity simulations based on a patient-specific anatomical model. Leveraging a fully coupled fluid-structure-electrophysiology interaction (FSEI)…

Fluid Dynamics · Physics 2025-06-13 Fabio Guglietta , Martino Andrea Scarpolini , Francesco Viola , Luca Biferale

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