{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/90966"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/90966","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"A Lattice Boltzmann method model of diffusion-weighted magnetic resonance imaging in skeletal muscle","abstract":"Aging and obesity is associated with reduction in muscle mass and increase in fat mass, leading to decline in both physical function and health. Probing the cellular microstructure of skeletal muscle with noninvasive methods is paramount in developing effective therapeutic procedures for the elderly, such as physical exercise. Using special proton magnetic resonance imaging (MRI) protocols we can investigate non-invasively diffusion phenomena within skeletal muscle. This project focuses on the numerical study of the effect of microstructure on the effective diffusion coefficient via a Lattice Boltzmann model (LBM). Specifically, we aim to characterize how variations in microstructure and mass transport properties affect the local apparent diffusion coefficient of water measured with Diffusion Tensor Imaging (DTI). A numerical model is developed to solve the Bloch-Torrey equation in a periodic domain containing muscle cells surrounded by permeable membranes. This model is shown to be convergent in both time and space at the theoretical truncation error rate and to agree with analytical solutions of limiting cases. The effect of membrane permeability is investigated and found to be consistent in trend with prior experimental investigations. A simpler two-compartment exchange model is also investigated and compared with the LBM model. It is found that qualitative agreement exists in terms of variations in ellipticity and permeability, however, there is qualitative disagreement in the model for changes in cell volume fraction. This disagreement is investigated systematically and the numerical source of the disagreement between the two models is identified. Our results demonstrate that the continuum LBM model is superior to the two-compartmental model for human muscle MRI.","abstract_html":"Aging and obesity is associated with reduction in muscle mass and increase in fat mass, leading to decline in both physical function and health. Probing the cellular microstructure of skeletal muscle with noninvasive methods is paramount in developing effective therapeutic procedures for the elderly, such as physical exercise. Using special proton magnetic resonance imaging (MRI) protocols we can investigate non-invasively diffusion phenomena within skeletal muscle. This project focuses on the numerical study of the effect of microstructure on the effective diffusion coefficient via a Lattice Boltzmann model (LBM). Specifically, we aim to characterize how variations in microstructure and mass transport properties affect the local apparent diffusion coefficient of water measured with Diffusion Tensor Imaging (DTI). A numerical model is developed to solve the Bloch-Torrey equation in a periodic domain containing muscle cells surrounded by permeable membranes. This model is shown to be convergent in both time and space at the theoretical truncation error rate and to agree with analytical solutions of limiting cases. The effect of membrane permeability is investigated and found to be consistent in trend with prior experimental investigations. A simpler two-compartment exchange model is also investigated and compared with the LBM model. It is found that qualitative agreement exists in terms of variations in ellipticity and permeability, however, there is qualitative disagreement in the model for changes in cell volume fraction. This disagreement is investigated systematically and the numerical source of the disagreement between the two models is identified. Our results demonstrate that the continuum LBM model is superior to the two-compartmental model for human muscle MRI.","abstract_has_math":false,"creators":["Naughton, Noel M."],"institution":"University of Illinois at Urbana-Champaign","degree_name":"M.S.","degree_level":"Thesis","degree_discipline":"Mechanical Engineering","degree_department":null,"school":null,"contributors":["Georgiadis, John G."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-05","date_published":"2016-05","updated_at":"2026-07-22T22:26:34Z","subjects":["Lattice Boltzmann Method","Magnetic resonance imaging (MRI)","Diffusion tensor imaging (DTI)","Diffusion-Weighted Imaging","myocyte","diffusion","skeletal muscle"],"languages":["en"],"rights":["Copyright 2016 Noel Naughton"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/2142/90966","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Georgiadis, John G."]},{"key":"dc:creator","label":"Author","values":["Naughton, Noel M."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2016-05","2016-07-07T21:18:08Z","2018-07-08T09:15:20Z","2016-04-28"]},{"key":"dc:type","label":"Dc Type","values":["text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mechanical Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Illinois at Urbana-Champaign"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Lattice Boltzmann Method","Magnetic resonance imaging (MRI)","Diffusion tensor imaging (DTI)","Diffusion-Weighted Imaging","myocyte","diffusion","skeletal muscle"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Copyright 2016 Noel Naughton"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["http://hdl.handle.net/2142/90966"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Aging and obesity is associated with reduction in muscle mass and increase in fat mass, leading to decline in both physical function and health. Probing the cellular microstructure of skeletal muscle with noninvasive methods is paramount in developing effective therapeutic procedures for the elderly, such as physical exercise. Using special proton magnetic resonance imaging (MRI) protocols we can investigate non-invasively diffusion phenomena within skeletal muscle. This project focuses on the numerical study of the effect of microstructure on the effective diffusion coefficient via a Lattice Boltzmann model (LBM). Specifically, we aim to characterize how variations in microstructure and mass transport properties affect the local apparent diffusion coefficient of water measured with Diffusion Tensor Imaging (DTI). A numerical model is developed to solve the Bloch-Torrey equation in a periodic domain containing muscle cells surrounded by permeable membranes. This model is shown to be convergent in both time and space at the theoretical truncation error rate and to agree with analytical solutions of limiting cases. The effect of membrane permeability is investigated and found to be consistent in trend with prior experimental investigations. A simpler two-compartment exchange model is also investigated and compared with the LBM model. It is found that qualitative agreement exists in terms of variations in ellipticity and permeability, however, there is qualitative disagreement in the model for changes in cell volume fraction. This disagreement is investigated systematically and the numerical source of the disagreement between the two models is identified. Our results demonstrate that the continuum LBM model is superior to the two-compartmental model for human muscle MRI.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-05-01","The student, Noel Naughton, accepted the attached license on 2016-04-26 at 16:57.","The student, Noel Naughton, submitted this Thesis for approval on 2016-04-26 at 17:08.","This Thesis was approved for publication on 2016-04-28 at 08:20.","DSpace SAF Submission Ingestion Package generated from Vireo submission #9531 on 2016-07-07 at 14:18:05","Made available in DSpace on 2016-07-07T21:18:08Z (GMT). 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Probing the cellular microstructure of skeletal muscle with noninvasive methods is paramount in developing effective therapeutic procedures for the elderly, such as physical exercise. Using special proton magnetic resonance imaging (MRI) protocols we can investigate non-invasively diffusion phenomena within skeletal muscle. This project focuses on the numerical study of the effect of microstructure on the effective diffusion coefficient via a Lattice Boltzmann model (LBM). Specifically, we aim to characterize how variations in microstructure and mass transport properties affect the local apparent diffusion coefficient of water measured with Diffusion Tensor Imaging (DTI). A numerical model is developed to solve the Bloch-Torrey equation in a periodic domain containing muscle cells surrounded by permeable membranes. This model is shown to be convergent in both time and space at the theoretical truncation error rate and to agree with analytical solutions of limiting cases. The effect of membrane permeability is investigated and found to be consistent in trend with prior experimental investigations. A simpler two-compartment exchange model is also investigated and compared with the LBM model. It is found that qualitative agreement exists in terms of variations in ellipticity and permeability, however, there is qualitative disagreement in the model for changes in cell volume fraction. This disagreement is investigated systematically and the numerical source of the disagreement between the two models is identified. Our results demonstrate that the continuum LBM model is superior to the two-compartmental model for human muscle MRI.","Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2018-05-01","The student, Noel Naughton, accepted the attached license on 2016-04-26 at 16:57.","The student, Noel Naughton, submitted this Thesis for approval on 2016-04-26 at 17:08.","This Thesis was approved for publication on 2016-04-28 at 08:20.","DSpace SAF Submission Ingestion Package generated from Vireo submission #9531 on 2016-07-07 at 14:18:05","Made available in DSpace on 2016-07-07T21:18:08Z (GMT). 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