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Graph Theory for Modeling and Analysis of the Human Lymphatic System

Rostislav Savinkov, Dmitry Grebennikov, Darya Puchkova, Valery Chereshnev, Igor Sazonov Orcid Logo, Gennady Bocharov

Mathematics, Volume: 8, Issue: 12, Start page: 2236

Swansea University Author: Igor Sazonov Orcid Logo

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DOI (Published version): 10.3390/math8122236

Abstract

The human lymphatic system (HLS) is a complex network of lymphatic organs linked through the lymphatic vessels. We present a graph theory-based approach to model and analyze the human lymphatic network. Two different methods of building a graph are considered: the method using anatomical data direct...

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Published in: Mathematics
ISSN: 2227-7390 2227-7390
Published: MDPI AG 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55966
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last_indexed 2021-02-04T04:14:15Z
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spelling 2021-02-03T13:07:15.4969306 v2 55966 2021-01-05 Graph Theory for Modeling and Analysis of the Human Lymphatic System 05a507952e26462561085fb6f62c8897 0000-0001-6685-2351 Igor Sazonov Igor Sazonov true false 2021-01-05 AERO The human lymphatic system (HLS) is a complex network of lymphatic organs linked through the lymphatic vessels. We present a graph theory-based approach to model and analyze the human lymphatic network. Two different methods of building a graph are considered: the method using anatomical data directly and the method based on a system of rules derived from structural analysis of HLS. A simple anatomical data-based graph is converted to an oriented graph by quantifying the steady-state fluid balance in the lymphatic network with the use of the Poiseuille equation in vessels and the mass conservation at vessel junctions. A computational algorithm for the generation of the rule-based random graph is developed and implemented. Some fundamental characteristics of the two types of HLS graph models are analyzed using different metrics such as graph energy, clustering, robustness, etc. Journal Article Mathematics 8 12 2236 MDPI AG 2227-7390 2227-7390 graph theory; networks; mathematical modeling; lymphatic system; immunology 17 12 2020 2020-12-17 10.3390/math8122236 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2021-02-03T13:07:15.4969306 2021-01-05T15:46:05.7098721 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Rostislav Savinkov 1 Dmitry Grebennikov 2 Darya Puchkova 3 Valery Chereshnev 4 Igor Sazonov 0000-0001-6685-2351 5 Gennady Bocharov 6 55966__18974__712a83b10ee64124851853dac272f29c.pdf 55966.pdf 2021-01-05T15:47:53.5484667 Output 2312630 application/pdf Version of Record true © 2020 by the authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license true eng http://creativecommons.org/licenses/by/4.0/
title Graph Theory for Modeling and Analysis of the Human Lymphatic System
spellingShingle Graph Theory for Modeling and Analysis of the Human Lymphatic System
Igor Sazonov
title_short Graph Theory for Modeling and Analysis of the Human Lymphatic System
title_full Graph Theory for Modeling and Analysis of the Human Lymphatic System
title_fullStr Graph Theory for Modeling and Analysis of the Human Lymphatic System
title_full_unstemmed Graph Theory for Modeling and Analysis of the Human Lymphatic System
title_sort Graph Theory for Modeling and Analysis of the Human Lymphatic System
author_id_str_mv 05a507952e26462561085fb6f62c8897
author_id_fullname_str_mv 05a507952e26462561085fb6f62c8897_***_Igor Sazonov
author Igor Sazonov
author2 Rostislav Savinkov
Dmitry Grebennikov
Darya Puchkova
Valery Chereshnev
Igor Sazonov
Gennady Bocharov
format Journal article
container_title Mathematics
container_volume 8
container_issue 12
container_start_page 2236
publishDate 2020
institution Swansea University
issn 2227-7390
2227-7390
doi_str_mv 10.3390/math8122236
publisher MDPI AG
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 - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str 1
active_str 0
description The human lymphatic system (HLS) is a complex network of lymphatic organs linked through the lymphatic vessels. We present a graph theory-based approach to model and analyze the human lymphatic network. Two different methods of building a graph are considered: the method using anatomical data directly and the method based on a system of rules derived from structural analysis of HLS. A simple anatomical data-based graph is converted to an oriented graph by quantifying the steady-state fluid balance in the lymphatic network with the use of the Poiseuille equation in vessels and the mass conservation at vessel junctions. A computational algorithm for the generation of the rule-based random graph is developed and implemented. Some fundamental characteristics of the two types of HLS graph models are analyzed using different metrics such as graph energy, clustering, robustness, etc.
published_date 2020-12-17T04:10:34Z
_version_ 1763753731549036544
score 11.037581

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