[HTML][HTML] A joint absorbing boundary for the multiple-relaxation-time lattice Boltzmann method in seismic acoustic wavefield modeling

CT Jiang, H Zhou, MM Xia, HM Chen, JX Tang - Petroleum Science, 2023 - Elsevier
Conventional seismic wave forward simulation generally uses mathematical means to solve
the macroscopic wave equation, and then obtains the corresponding seismic wavefield …

[HTML][HTML] An automated near-real time computational method for induction and treatment of scar-related ventricular tachycardias

FO Campos, A Neic, CM Costa, J Whitaker… - Medical Image …, 2022 - Elsevier
Catheter ablation is currently the only curative treatment for scar-related ventricular
tachycardias (VTs). However, not only are ablation procedures long, with relatively high risk …

The Ithildin library for efficient numerical solution of anisotropic reaction-diffusion problems in excitable media

D Kabus, M Cloet, C Zemlin, O Bernus, H Dierckx - PloS one, 2024 - journals.plos.org
Ithildin is an open-source library and framework for efficient parallelized simulations of
excitable media, written in the C++ programming language. It uses parallelization on …

Balancing conduction velocity error in cardiac electrophysiology using a modified quadrature approach

LA Woodworth, B Cansız… - International journal for …, 2022 - Wiley Online Library
Conduction velocity error is often the main culprit behind the need for very fine spatial
discretizations and high computational effort in cardiac electrophysiology problems. In light …

Physically based visual simulation of the Lattice Boltzmann method on the GPU: a survey

O Navarro-Hinojosa, S Ruiz-Loza… - The Journal of …, 2018 - Springer
The rapid increase in performance, programmability, and availability of graphics processing
units (GPUs) has made them a compelling platform for computationally demanding tasks in …

Modeling and analysis of cardiac hybrid cellular automata via GPU-accelerated Monte Carlo simulation

LM Treml, E Bartocci, A Gizzi - Mathematics, 2021 - mdpi.com
The heart consists of a complex network of billions of cells. Under physiological conditions,
cardiac cells propagate electrical signals in space, generating the heartbeat in a …

Lattice Boltzmann method for simulation of diffusion magnetic resonance imaging physics in multiphase tissue models

NM Naughton, CG Tennyson, JG Georgiadis - Physical Review E, 2020 - APS
We report an implementation of the lattice Boltzmann method (LBM) to integrate the Bloch-
Torrey equation, which describes the evolution of the transverse magnetization vector and …

Gpu code generation of cardiac electrophysiology simulation with mlir

T Trevisan Jost, A Thangamani, R Colin… - … Conference on Parallel …, 2023 - Springer
We show the benefits of the novel MLIR compiler technology to the generation of code from
a DSL, namely EasyML used in openCARP, a widely used simulator in the cardiac …

Smoothed particle hydrodynamics for electrophysiological modeling: an alternative to finite element methods

E Lluch, R Doste, S Giffard-Roisin, A This… - Functional Imaging and …, 2017 - Springer
Finite element methods (FEM) are generally used in cardiac 3D-electromechanical
modeling. For FEM modeling, a step of a suitable mesh construction is required, which is …

Mathematical modeling and optimal control problems in brain tumor targeted drug delivery strategies

A Belmiloudi - International Journal of Biomathematics, 2017 - World Scientific
In this paper, we present a mathematical model that describes tumor-normal cells interaction
dynamics focusing on role of drugs in treatment of brain tumors. The goal is to predict …