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We develop in this work a mathematical model to study the interplay between viral infection and mucus motion. The results of numerical simulations show that infection progression can be characterized by three main stages. At the first stage, infection spreads through the most part of mucus producing airways (about 90% of the length) without significant changes in mucus velocity and thickness layer. During the second stage, when it passes through the remaining generations, mucus viscosity increases, its velocity drops down, and it forms a plug. At the last stage, the thickness of the mucus layer gradually increases because mucus is still produced but not removed by the flow. After some time, the thickness of the mucus layer in the small airways becomes comparable with their diameter leading to their complete obstruction.<\/jats:p>","DOI":"10.1002\/cnm.3707","type":"journal-article","created":{"date-parts":[[2023,4,19]],"date-time":"2023-04-19T05:21:33Z","timestamp":1681881693000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Airway obstruction in respiratory viral infections due to impaired mucociliary clearance"],"prefix":"10.1002","volume":"39","author":[{"given":"N.","family":"Bessonov","sequence":"first","affiliation":[{"name":"Institute of Problems of Mechanical Engineering Russian Academy of Sciences  Saint Petersburg Russian Federation"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"V.","family":"Volpert","sequence":"additional","affiliation":[{"name":"Institut Camille Jordan, UMR 5208 CNRS University Lyon 1  Villeurbanne France"},{"name":"S.M. Nikolskii Mathematical Institute Peoples Friendship University of Russia (RUDN University)  Moscow Russian Federation"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2023,4,18]]},"reference":[{"key":"e_1_2_8_2_1","first-page":"59(4):1","article-title":"Influence of SARS\u2010CoV\u20102 on airway mucus production: a review and proposed model","author":"Meyerholz DK","year":"2021","journal-title":"Vet Pathol"},{"key":"e_1_2_8_3_1","doi-asserted-by":"publisher","DOI":"10.3389\/fimmu.2020.01949"},{"key":"e_1_2_8_4_1","doi-asserted-by":"publisher","DOI":"10.2147\/JIR.S271292"},{"key":"e_1_2_8_5_1","doi-asserted-by":"publisher","DOI":"10.4049\/jimmunol.1800671"},{"key":"e_1_2_8_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.compfluid.2011.05.016"},{"key":"e_1_2_8_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.mran.2020.100140"},{"key":"e_1_2_8_8_1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467\u2010021\u201024521\u2010x"},{"key":"e_1_2_8_9_1","doi-asserted-by":"publisher","DOI":"10.1183\/09031936.93.05040477"},{"key":"e_1_2_8_10_1","doi-asserted-by":"publisher","DOI":"10.1051\/m2an\/2022019"},{"key":"e_1_2_8_11_1","article-title":"Virus replication and competition in a cell culture: application to the SARS\u2010CoV\u20102 variants","volume":"133","author":"Mahiout LA","year":"2022","journal-title":"Appl Math Lett"},{"key":"e_1_2_8_12_1","doi-asserted-by":"publisher","DOI":"10.1128\/jvi.2.1.40-47.1968"},{"key":"e_1_2_8_13_1","doi-asserted-by":"publisher","DOI":"10.1099\/0022-1317-11-1-17"},{"key":"e_1_2_8_14_1","doi-asserted-by":"publisher","DOI":"10.1101\/2021.12.31.474653"},{"key":"e_1_2_8_15_1","doi-asserted-by":"publisher","DOI":"10.7554\/eLife.69302"},{"key":"e_1_2_8_16_1","doi-asserted-by":"publisher","DOI":"10.1134\/S1995080222130285"},{"key":"e_1_2_8_17_1","doi-asserted-by":"publisher","DOI":"10.3390\/math10020256"},{"key":"e_1_2_8_18_1","doi-asserted-by":"publisher","DOI":"10.3390\/vaccines10070995"},{"key":"e_1_2_8_19_1","article-title":"Viral infection spreading in cell culture with intracellular regulation","volume":"11","author":"Bessonov N","journal-title":"Mathematics"},{"key":"e_1_2_8_20_1","doi-asserted-by":"publisher","DOI":"10.1136\/thoraxjnl\u20102021\u2010217561"},{"key":"e_1_2_8_21_1","article-title":"Mathematical modeling of respiratory viral infection and applications to SARS\u2010CoV\u20102 progression","author":"Ait Mahiout L","year":"2022","journal-title":"Math Methods Appl Sci"},{"key":"e_1_2_8_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2015.02.023"},{"key":"e_1_2_8_23_1","doi-asserted-by":"publisher","DOI":"10.1128\/JVI.79.24.15511-15524.2005"},{"key":"e_1_2_8_24_1","doi-asserted-by":"publisher","DOI":"10.1002\/rmv.1792"},{"key":"e_1_2_8_25_1","doi-asserted-by":"publisher","DOI":"10.1152\/jappl.1979.47.4.867"}],"container-title":["International Journal for Numerical Methods in Biomedical Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/cnm.3707","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T11:10:14Z","timestamp":1723201814000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/cnm.3707"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,4,18]]},"references-count":24,"journal-issue":{"issue":"11","published-print":{"date-parts":[[2023,11]]}},"alternative-id":["10.1002\/cnm.3707"],"URL":"https:\/\/doi.org\/10.1002\/cnm.3707","archive":["Portico"],"relation":{},"ISSN":["2040-7939","2040-7947"],"issn-type":[{"value":"2040-7939","type":"print"},{"value":"2040-7947","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,4,18]]},"assertion":[{"value":"2022-10-25","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-04-02","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2023-04-18","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"e3707"}}