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We propose a highly versatile computational framework for the simulation of cellular blood flow focusing on extreme performance without compromising accuracy or complexity. The tool couples the lattice Boltzmann solver Palabos for the…

Computational Physics · Physics 2021-07-22 Christos Kotsalos , Jonas Latt , Joel Beny , Bastien Chopard

This paper presents a lightweight, open-source and high-performance python package for solving peridynamics problems in solid mechanics. The development of this solver is motivated by the need for fast analysis tools to achieve the large…

Software Engineering · Computer Science 2021-09-15 B. Boys , T. J. Dodwell , M. Hobbs , M. Girolami

The reliability of cardiovascular computational models depends on the accurate solution of the hemodynamics, the realistic characterization of the hyperelastic and electric properties of the tissues along with the correct description of…

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

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

A computational framework is presented to numerically simulate the effects of antihypertensive drugs, in particular calcium channel blockers, on the mechanical response of arterial walls. A stretch-dependent smooth muscle model by Uhlmann…

Endovascular robots have been actively developed in both academia and industry. However, progress toward autonomous catheterization is often hampered by the widespread use of closed-source simulators and physical phantoms. Additionally, the…

The human heart is enclosed in the pericardial cavity. The pericardium consists of a layered thin sac and is separated from the myocardium by a thin film of fluid. It provides a fixture in space and frictionless sliding of the myocardium.…

Computational Engineering, Finance, and Science · Computer Science 2018-12-11 Martin R. Pfaller , Julia M. Hörmann , Martina Weigl , Andreas Nagler , Radomir Chabiniok , Cristóbal Bertoglio , Wolfgang A. Wall

Stochastic hydrodynamics is a central tool in the study of first order phase transitions at a fundamental level. Combined with sophisticated free energy models, e.g. as developed in classical Density Functional Theory, complex processes…

Statistical Mechanics · Physics 2025-08-08 James F. Lutsko

This paper presents a 2D/3D Free Surface Lattice Boltzmann Method simulation package called LBfoam for the simulation of foaming processes. The model incorporates the essential physics of foaming phenomena: gas diffusion into nucleated…

Computational Physics · Physics 2020-11-17 Mohammadmehdi Ataei , Vahid Shaayegan , Franco Costa , Sejin Han , Chul B. Park , Markus Bussmann

The experimental realization of dynamo excitation as well as theoretical and numerical examinations of the induction equation have shown the relevance of boundary conditions for a self-sustaining dynamo. Within the interior of a field…

Fluid Dynamics · Physics 2012-08-08 Andre Giesecke , Frank Stefani , Gunter Gerbeth

Personalized cardiac mechanics modeling is a powerful tool for understanding the biomechanics of cardiac function in health and disease and assisting in treatment planning. However, current models are limited to using medical images…

Medical Physics · Physics 2024-04-09 Lei Shi , Ian Chen , Hiroo Takayama , Vijay Vedula

Cardiovascular diseases, specifically cerebral aneurysms, represent a major cause of morbidity and mortality, having a significant impact on the cost and overall status of health care. In the present work, we employ a haemorheological blood…

Fluid Dynamics · Physics 2023-10-23 Kamyar Behrouzi , Zahra Khodabakhshi Fard , Azadeh Jafari , Robert G. Owens

A new OpenFOAM application to simulate multiphase flows in porous media is formulated and tested. The proposed solver combines the Eulerian multi-fluid formulation for a system of phase fractions with Darcy's law for flows through porous…

Meshfree methods for in silico modelling and simulation of cardiac electrophysiology are gaining more and more popularity. These methods do not require a mesh and are more suitable than the Finite Element Method (FEM) to simulate the…

Numerical Analysis · Mathematics 2021-11-17 Konstantinos A. Mountris , Leiting Dong , Yue Guan , Satya N. Atluri , Esther Pueyo

We develop two mathematical lumped parameter models for blood pressure distribution in the Fontan blood flow circulation: an ODE based spatially homogeneous model and a PDE based spatially inhomogeneous model. We present numerical…

Analysis of PDEs · Mathematics 2018-06-08 J. P. Keener , M. Chugunova , R. M. Taranets , M. G. Doyle

The presented multi-scale, closed-loop blood circulation model includes arterial, venous, and portal venous systems, heart-pulmonary circulation, and micro-circulation in capillaries. One-dimensional models simulate large blood vessel flow,…

Medical Physics · Physics 2024-04-03 Jiawei Liu , Hiroshi Suito

A central problem in systems biology is to identify parameter values such that a biological model satisfies some behavioral constraints (\eg, time series). In this paper we focus on parameter synthesis for hybrid (continuous/discrete)…

Logic in Computer Science · Computer Science 2014-09-11 Bing Liu , Soonho Kong , Sicun Gao , Paolo Zuliani , Edmund M. Clarke

Many cytoskeletal systems are now sufficiently well known to permit their precise quantitative modelling. Microtubule and actin filaments are well characterized, and the associated proteins are often known, as well as their abundance and…

Quantitative Methods · Quantitative Biology 2022-05-30 Carlos A. Lugo , Eashan Saikia , Francois Nedelec

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe