Lattice Boltzmann method for simulation of diffusion magnetic resonance imaging physics in multiphase tissue models
Year: 2020
Type: article
Abstract: 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 the fate of the signal of diffusion magnetic resonance imaging (dMRI). Motivated by the need to interpret dMRI experiments in biological tissues, and to offset the small time-step limitation of classical LBM, a hybrid LBM scheme is introduced and implemented to solve the Bloch-Torrey equation. A membrane boundary condition is presented which is able to accurately represent the effects of thin curvilinear membranes typically found in biological tissues. As implemented, the hybrid LBM scheme accommodates piece-wise uniform transport, dMRI parameters, periodic and mirroring outer boundary conditions, and finite membrane permeabilities on non-boundary-conforming inner boundaries. By comparing with analytical solutions of limiting cases, we demonstrate that the hybrid LBM scheme is more accurate than the classical LBM scheme. The proposed explicit LBM scheme maintains second-order spatial accuracy, stability, and first-order temporal accuracy for a wide range of parameters. The parallel implementation of the hybrid LBM code in a multi-CPU computer system, as well as on GPUs, is straightforward and efficient. Along with offering certain advantages over finite element or Monte Carlo schemes, the proposed hybrid LBM constitutes a flexible scheme that can by easily adapted to model more complex interfacial conditions and physics in heterogeneous multiphase tissue models and to accommodate sophisticated dMRI sequences.
Source: Physical review. E
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
Funders: National Science Foundation, National Institutes of Health, National Heart, Lung, and Blood Institute, National Institute of Biomedical Imaging and Bioengineering, Division of Chemical, Bioengineering, Environmental, and Transport Systems, Division of Civil, Mechanical and Manufacturing Innovation
Awards: G2206590661, Muscle quality, exercise and weight loss in older women: A quantitative MRI stud, Collaborative Research: Multiple Scale Biomechanics of Tissue Damage in the White Matter of the Human Central Nervous System, Intramyocellular Biotransport and Muscle Quality in Aging and Obesity, XSEDE 2.0: Integrating, Enabling and Enhancing National Cyberinfrastructure with Expanding Community Involvement, G4306653268, CRCNS:US French Coll:Computational Imaging of the Aging Cerebral Microvasculature, G5875245935, Collaborative Research: Multiscale Mechanical Models for the Aging Brain
OpenAlex ID: W3037437994