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Numerical investigation of lymph flow through pumping lymphatics / LOEIZ MEDINA

Swansea University Author: LOEIZ MEDINA

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DOI (Published version): 10.23889/SUthesis.62585

Abstract

This thesis aims at numerically modelling the lymphatic network at different scales. A failure of this network results in an accumulation of fluid in the area concerned, which can lead to lymphoedema.With the objective to understand this network and how it develops its ca-pacity to move lymph, we ar...

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Published: Swansea 2023
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
Supervisor: Van Loon, Raoul ; Podgorski, Thomas ; Ismaïl, Mourad
URI: https://cronfa.swan.ac.uk/Record/cronfa62585
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In addi-tion, the different constitutive equations observed in the literature are detailed and analysed. In order to understand the interactions between the basic motile elements of the lymphatic network, different methods for coupling calculations in fluid-structure simulation are presented. Then, with the help of different recent articles, we compare different approaches and geometries for the study of a lymphangion.In this zero-dimensional approach, a new numerical formulation is used for the calculation of lymph flow in the collecting network. Equations of this model are detailed in this document, and the number of parameters generally used in the constitutive equation is reduced. Moreover, these equations allow for a variable contraction frequency depending on the load imposed by the boundary condition applied. Different specific cases such as divergent and convergent bifurcations, elementary units of a network are first studied. Furthermore, lymphangions at the end of a channel appear to deliver more pumping energy than the initial ones. The results from the simulations are compared with experimental data. Finally, a specific and realistic network geometry extracted from an anatomical drawing of a leg is used to simulate the model and show complex synchronization behaviours between lymphangions. Three different regimes of synchronization between lymphangion in a channel are identified.For the last chapter, a two-dimensional model of a lymphangion is proposed, which will then be used to study the behaviour of valves, lymphocytes and walls. The operation of the multi-physics fluid-structure code is explained, it is based on a method called: Immersed Structural Potential Method (ISPM). Initially, the equations of fluid and solid mechanics are introduced, how they are coupled, as well as the details of their implementation. Then, we study the behaviour of a group of lymphocytes in the lymphatic channel using a fluid-structure interaction code. Using the geometry of a lymphangion, we compare the displacement of the lymphocytes in different cases, first with or without valve, pulsation of the fluid and then the moving walls. We observe that a poiseuille flow is maintained across the range of lymphocite density considered here. 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spelling 2023-02-06T13:53:24.9103688 v2 62585 2023-02-06 Numerical investigation of lymph flow through pumping lymphatics 5601625ad3e3d9de879823ad27d47d9f LOEIZ MEDINA LOEIZ MEDINA true false 2023-02-06 This thesis aims at numerically modelling the lymphatic network at different scales. A failure of this network results in an accumulation of fluid in the area concerned, which can lead to lymphoedema.With the objective to understand this network and how it develops its ca-pacity to move lymph, we are interested in a comparison between different description and models on the lymphatic network from the literature. We first study the discrete approach in zero dimension and in one dimension. In addi-tion, the different constitutive equations observed in the literature are detailed and analysed. In order to understand the interactions between the basic motile elements of the lymphatic network, different methods for coupling calculations in fluid-structure simulation are presented. Then, with the help of different recent articles, we compare different approaches and geometries for the study of a lymphangion.In this zero-dimensional approach, a new numerical formulation is used for the calculation of lymph flow in the collecting network. Equations of this model are detailed in this document, and the number of parameters generally used in the constitutive equation is reduced. Moreover, these equations allow for a variable contraction frequency depending on the load imposed by the boundary condition applied. Different specific cases such as divergent and convergent bifurcations, elementary units of a network are first studied. Furthermore, lymphangions at the end of a channel appear to deliver more pumping energy than the initial ones. The results from the simulations are compared with experimental data. Finally, a specific and realistic network geometry extracted from an anatomical drawing of a leg is used to simulate the model and show complex synchronization behaviours between lymphangions. Three different regimes of synchronization between lymphangion in a channel are identified.For the last chapter, a two-dimensional model of a lymphangion is proposed, which will then be used to study the behaviour of valves, lymphocytes and walls. The operation of the multi-physics fluid-structure code is explained, it is based on a method called: Immersed Structural Potential Method (ISPM). Initially, the equations of fluid and solid mechanics are introduced, how they are coupled, as well as the details of their implementation. Then, we study the behaviour of a group of lymphocytes in the lymphatic channel using a fluid-structure interaction code. Using the geometry of a lymphangion, we compare the displacement of the lymphocytes in different cases, first with or without valve, pulsation of the fluid and then the moving walls. We observe that a poiseuille flow is maintained across the range of lymphocite density considered here. This type of flow is similar to that of red blood cells in a blood stream. E-Thesis Swansea Numerical simulation, Lymph, Microfluidic, Lymphoedema 24 1 2023 2023-01-24 10.23889/SUthesis.62585 COLLEGE NANME COLLEGE CODE Swansea University Van Loon, Raoul ; Podgorski, Thomas ; Ismaïl, Mourad Doctoral Ph.D Joint university studentships, Swansea - Grenoble 2023-02-06T13:53:24.9103688 2023-02-06T12:22:12.2838211 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering LOEIZ MEDINA 1 62585__26483__64c2fee3f2a44a2eac6173979eea438d.pdf Zamora_Medina_Loeiz_PhD_Thesis_Final_Redacted_Signature.pdf 2023-02-06T13:23:49.4241986 Output 22535902 application/pdf E-Thesis – open access true Copyright: The author, Loeiz Zamora Medina, 2023. Released under the terms of a Creative Commons Attribution-Non-Commercial No–Derivatives (CC-BY-NC-ND) License. Third party content is excluded for use under the license terms. true eng https://creativecommons.org/licenses/by-nc-nd/4.0/
title Numerical investigation of lymph flow through pumping lymphatics
spellingShingle Numerical investigation of lymph flow through pumping lymphatics
LOEIZ MEDINA
title_short Numerical investigation of lymph flow through pumping lymphatics
title_full Numerical investigation of lymph flow through pumping lymphatics
title_fullStr Numerical investigation of lymph flow through pumping lymphatics
title_full_unstemmed Numerical investigation of lymph flow through pumping lymphatics
title_sort Numerical investigation of lymph flow through pumping lymphatics
author_id_str_mv 5601625ad3e3d9de879823ad27d47d9f
author_id_fullname_str_mv 5601625ad3e3d9de879823ad27d47d9f_***_LOEIZ MEDINA
author LOEIZ MEDINA
author2 LOEIZ MEDINA
format E-Thesis
publishDate 2023
institution Swansea University
doi_str_mv 10.23889/SUthesis.62585
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Mechanical Engineering
document_store_str 1
active_str 0
description This thesis aims at numerically modelling the lymphatic network at different scales. A failure of this network results in an accumulation of fluid in the area concerned, which can lead to lymphoedema.With the objective to understand this network and how it develops its ca-pacity to move lymph, we are interested in a comparison between different description and models on the lymphatic network from the literature. We first study the discrete approach in zero dimension and in one dimension. In addi-tion, the different constitutive equations observed in the literature are detailed and analysed. In order to understand the interactions between the basic motile elements of the lymphatic network, different methods for coupling calculations in fluid-structure simulation are presented. Then, with the help of different recent articles, we compare different approaches and geometries for the study of a lymphangion.In this zero-dimensional approach, a new numerical formulation is used for the calculation of lymph flow in the collecting network. Equations of this model are detailed in this document, and the number of parameters generally used in the constitutive equation is reduced. Moreover, these equations allow for a variable contraction frequency depending on the load imposed by the boundary condition applied. Different specific cases such as divergent and convergent bifurcations, elementary units of a network are first studied. Furthermore, lymphangions at the end of a channel appear to deliver more pumping energy than the initial ones. The results from the simulations are compared with experimental data. Finally, a specific and realistic network geometry extracted from an anatomical drawing of a leg is used to simulate the model and show complex synchronization behaviours between lymphangions. Three different regimes of synchronization between lymphangion in a channel are identified.For the last chapter, a two-dimensional model of a lymphangion is proposed, which will then be used to study the behaviour of valves, lymphocytes and walls. The operation of the multi-physics fluid-structure code is explained, it is based on a method called: Immersed Structural Potential Method (ISPM). Initially, the equations of fluid and solid mechanics are introduced, how they are coupled, as well as the details of their implementation. Then, we study the behaviour of a group of lymphocytes in the lymphatic channel using a fluid-structure interaction code. Using the geometry of a lymphangion, we compare the displacement of the lymphocytes in different cases, first with or without valve, pulsation of the fluid and then the moving walls. We observe that a poiseuille flow is maintained across the range of lymphocite density considered here. This type of flow is similar to that of red blood cells in a blood stream.
published_date 2023-01-24T04:22:18Z
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score 11.012678

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