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