18
IRUS Total
Downloads

Random walk diffusion simulations in semi-permeable layered media with varying diffusivity

File Description SizeFormat 
s41598-022-14541-y.pdfPublished version2.99 MBAdobe PDFView/Open
Title: Random walk diffusion simulations in semi-permeable layered media with varying diffusivity
Authors: Alemany Juvanteny, I
Rose, J
Garnier-Brun, J
Scott, A
Doorly, D
Item Type: Journal Article
Abstract: In this paper we present random walk based solutions to diffusion in semi-permeable layered media with varying diffusivity. We propose a novel transit model for solving the interaction of random walkers with a membrane. This hybrid model is based on treating the membrane permeability and the step change in diffusion coefficient as two interactions separated by an infinitesimally small layer. By conducting an extensive analytical flux analysis, the performance of our hybrid model is compared with a commonly used membrane transit model (reference model). Numerical simulations demonstrate the limitations of the reference model in dealing with step changes in diffusivity and show the capability of the hybrid model to overcome this limitation and to offer substantial gains in computational efficiency. The suitability of both random walk transit models for the application to simulations of diffusion tensor cardiovascular magnetic resonance (DT-CMR) imaging is assessed in a histology-based domain relevant to DT-CMR. In order to demonstrate the usefulness of the new hybrid model for other possible applications, we also consider a larger range of permeabilities beyond those commonly found in biological tissues.
Date of Acceptance: 8-Jun-2022
URI: http://hdl.handle.net/10044/1/97493
DOI: 10.1038/s41598-022-14541-y
ISSN: 2045-2322
Publisher: Nature Publishing Group
Journal / Book Title: Scientific Reports
Volume: 12
Copyright Statement: Open Access Tis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. Te images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. © Te Author(s) 2022
Sponsor/Funder: British Heart Foundation
British Heart Foundation
British Heart Foundation
Funder's Grant Number: RE/13/4/30184
RG/19/1/34160
RG/19/1/34160
Keywords: Diffusion
Diffusion Magnetic Resonance Imaging
Diffusion Tensor Imaging
Heart
Magnetic Resonance Imaging
Heart
Magnetic Resonance Imaging
Diffusion Magnetic Resonance Imaging
Diffusion
Diffusion Tensor Imaging
Publication Status: Published
Appears in Collections:National Heart and Lung Institute
Aeronautics
Faculty of Medicine
Faculty of Engineering



This item is licensed under a Creative Commons License Creative Commons