{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,28]],"date-time":"2026-09-28T23:45:13Z","timestamp":1790639113225,"version":"4.1.0"},"reference-count":82,"publisher":"Public Library of Science (PLoS)","issue":"11","license":[{"start":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T00:00:00Z","timestamp":1762473600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CAREER CBET 2339001"],"award-info":[{"award-number":["CAREER CBET 2339001"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>\n                    Could the microdroplets formed by viscoelastic fragmentation of mucosal liquids within the upper respiratory tract (URT) explain the brisk onset of deep lung infection following initial URT infections? Generally, particulates, inhaled through the nostrils and therefore navigating the intricate topography of the anterior nasal cavity, can efficiently reach the lower airway only if they are small enough, typically\n                    <jats:inline-formula id=\"pone.0335962.e001\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0335962.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0335962.e001\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\">\n                          <mml:mrow>\n                            <mml:mo>\u2272<\/mml:mo>\n                            <mml:mn>5<\/mml:mn>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mtext>m<\/mml:mtext>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    . However, the fate of larger particulates, many exceeding 5-\n                    <jats:inline-formula id=\"pone.0335962.e002\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0335962.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0335962.e002\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\">\n                          <mml:mrow>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mtext>m<\/mml:mtext>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    in diameter, that are sheared from the initial infection sites along the intra-URT mucosa during inhalation remains unresolved. These particulates originate primarily from the nasopharynx, oropharynx, and the laryngeal chamber containing the vocal folds. To investigate, this study employs a computed tomography-based three-dimensional anatomical airway reconstruction, isolating the tract from the larynx and mapping the tracheal cavity through to the third generation of the tracheobronchial tree; constituent transport across the distal bronchial outlets is also recorded to assess deep lung penetration. Within the defined geometry, airflow simulations are conducted with the Large Eddy Simulation scheme to replicate relaxed inhalation at 15 L\/min flow rate. Against the ambient air flux, numerical experiments are performed to monitor the downwind transport of particulates (aerosols\/droplets) with diameters\n                    <jats:inline-formula id=\"pone.0335962.e003\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0335962.e003g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0335962.e003\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M3\">\n                          <mml:mrow>\n                            <mml:mn>1<\/mml:mn>\n                            <mml:mspace width=\"0.167em\"\/>\n                            <mml:mrow>\n                              <mml:mo>\u2212<\/mml:mo>\n                            <\/mml:mrow>\n                            <mml:mspace width=\"0.167em\"\/>\n                            <mml:mn>30<\/mml:mn>\n                            <mml:mtext>\u00a0<\/mml:mtext>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mtext>m<\/mml:mtext>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    , bearing physical properties akin to aerosolized mucus with embedded virions. The full-scale numerical transmission trends, representatively validated against a small set of published experimental data, are consistent with findings from our reduced-order mathematical model that conceptualizes the influence of intra-airway vortex instabilities on local particle transport through point vortex idealization in an anatomy-guided two-dimensional potential flow domain. The results collectively demonstrate a markedly elevated lower airway penetration by URT-derived particulates, even by those as large as 10 and 15\n                    <jats:inline-formula id=\"pone.0335962.e004\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0335962.e004g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0335962.e004\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M4\">\n                          <mml:mrow>\n                            <mml:mi>\u03bc<\/mml:mi>\n                            <mml:mtext>m<\/mml:mtext>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    . The high viral load, often exceeding the pathogen-specific infectious dose, carried by such droplets into the bronchial spaces of the sample airway, provides a plausible mechanistic explanation for the accelerated seeding of secondary lung infection.\n                  <\/jats:p>","DOI":"10.1371\/journal.pone.0335962","type":"journal-article","created":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T18:34:59Z","timestamp":1762540499000},"page":"e0335962","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":8,"title":["On the mechanics of inhaled bronchial transmission of pathogenic microdroplets generated from the upper respiratory tract, with implications for downwind infection onset"],"prefix":"10.1371","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1464-8425","authenticated-orcid":true,"given":"Saikat","family":"Basu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"340","published-online":{"date-parts":[[2025,11,7]]},"reference":[{"issue":"2","key":"pone.0335962.ref001","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.addr.2008.09.012","article-title":"Micro- and macrorheology of mucus","volume":"61","author":"SK Lai","year":"2009","journal-title":"Adv Drug Deliv Rev."},{"key":"pone.0335962.ref002","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1146\/annurev.bioeng.3.1.421","article-title":"Respiratory fluid mechanics and transport processes","volume":"3","author":"JB Grotberg","year":"2001","journal-title":"Annu Rev Biomed Eng."},{"key":"pone.0335962.ref003","unstructured":"Rozhkov A. Elasticity and relaxation properties of oral fluid. 2021. https:\/\/doi.org\/10.48550\/arXiv.2112.08113"},{"key":"pone.0335962.ref004","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0022112099005704","article-title":"Flow-induced instabilities of a mucus\u2013serous bilayer","volume":"397","author":"JA Moriarty","year":"1999","journal-title":"J Fluid Mech."},{"issue":"8","key":"pone.0335962.ref005","doi-asserted-by":"crossref","first-page":"1637","DOI":"10.1177\/02676591221128141","article-title":"Relaxation and creep response of the alveolar lung to diagnosis and treatments for respiratory and lung disorders","volume":"38","author":"H Mortazavy Beni","year":"2023","journal-title":"Perfusion."},{"issue":"10","key":"pone.0335962.ref006","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevFluids.5.102301","article-title":"Stretching and break-up of saliva filaments during speech: A route for pathogen aerosolization and its potential mitigation","volume":"5","author":"M Abkarian","year":"2020","journal-title":"Phys Rev Fluids."},{"key":"pone.0335962.ref007","doi-asserted-by":"crossref","DOI":"10.1017\/flo.2022.7","article-title":"Virus transmission by aerosol transport during short conversations","volume":"2","author":"R Singhal","year":"2022","journal-title":"Flow."},{"issue":"1","key":"pone.0335962.ref008","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1146\/annurev-fluid-060220-113712","article-title":"The fluid dynamics of disease transmission","volume":"53","author":"L Bourouiba","year":"2021","journal-title":"Annu Rev Fluid Mech."},{"issue":"6558","key":"pone.0335962.ref009","article-title":"Airborne transmission of respiratory viruses","volume":"373","author":"CC Wang","year":"2021","journal-title":"Science."},{"issue":"8","key":"pone.0335962.ref010","article-title":"Viscoelasticity reduces the droplet size in mucosalivary film fragmentation during intense respiratory events","volume":"10","author":"M Li","year":"2025","journal-title":"Phys Rev Fluids."},{"key":"pone.0335962.ref011","article-title":"Exhaled droplets due to talking and coughing","author":"X Xie","year":"2009","journal-title":"J R Soc Interface."},{"key":"pone.0335962.ref012","article-title":"Global instability of flows through single- and double-bifurcation airway models","volume":"1020","author":"TJA Scott","year":"2025","journal-title":"J Fluid Mech."},{"issue":"3","key":"pone.0335962.ref013","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1080\/00028896909343120","article-title":"The effect of particle size on the regional deposition of inhaled aerosols in the human respiratory tract","volume":"30","author":"M Lippmann","year":"1969","journal-title":"Am Ind Hyg Assoc J."},{"issue":"12","key":"pone.0335962.ref014","doi-asserted-by":"crossref","first-page":"2846","DOI":"10.4209\/aaqr.2020.02.0067","article-title":"Particle deposition in human lung airways: Effects of airflow, particle size, and mechanisms","volume":"20","author":"C Ou","year":"2020","journal-title":"Aerosol Air Qual Res."},{"key":"pone.0335962.ref015","doi-asserted-by":"crossref","first-page":"1073165","DOI":"10.3389\/fphys.2023.1073165","article-title":"Inhalation of virus-loaded droplets as a clinically plausible pathway to deep lung infection","volume":"14","author":"A Chakravarty","year":"2023","journal-title":"Front Physiol."},{"key":"pone.0335962.ref016","unstructured":"Dorland WAN. Dorland\u2019s Illustrated Medical Dictionary. 27th ed. WB Saunders Company; 1985."},{"key":"pone.0335962.ref017","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/j.jaerosci.2017.03.004","article-title":"Pulmonary aerosol transport and deposition analysis in upper 17 generations of the human respiratory tract","volume":"108","author":"MS Islam","year":"2017","journal-title":"J Aerosol Sci."},{"issue":"10","key":"pone.0335962.ref018","doi-asserted-by":"crossref","first-page":"1198","DOI":"10.1016\/j.medengphy.2010.08.012","article-title":"Micron particle deposition in a tracheobronchial airway model under different breathing conditions","volume":"32","author":"K Inthavong","year":"2010","journal-title":"Med Eng Phys."},{"issue":"6","key":"pone.0335962.ref019","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1089\/jamp.2015.1281","article-title":"Validating whole-airway CFD predictions of DPI aerosol deposition at multiple flow rates","volume":"29","author":"PW Longest","year":"2016","journal-title":"J Aerosol Med Pulm Drug Deliv."},{"issue":"10","key":"pone.0335962.ref020","doi-asserted-by":"crossref","first-page":"1989","DOI":"10.1007\/s11869-023-01386-1","article-title":"Modelling approaches to particle deposition and clearance in the human respiratory tract","volume":"16","author":"M Lazaridis","year":"2023","journal-title":"Air Qual Atmos Health."},{"issue":"3","key":"pone.0335962.ref021","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1089\/jamp.2020.1601","article-title":"Predicting lung deposition of extrafine inhaled corticosteroid-containing fixed combinations in patients with chronic obstructive pulmonary disease using functional respiratory imaging: An in silico study","volume":"34","author":"OS Usmani","year":"2021","journal-title":"J Aerosol Med Pulm Drug Deliv."},{"issue":"6","key":"pone.0335962.ref022","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1089\/jamp.2016.1291","article-title":"Inhaled aerosol distribution in human airways: A scintigraphy-guided study in a 3D printed model","volume":"29","author":"S Verbanck","year":"2016","journal-title":"J Aerosol Med Pulm Drug Deliv."},{"key":"pone.0335962.ref023","doi-asserted-by":"crossref","first-page":"100322","DOI":"10.1016\/j.comtox.2024.100322","article-title":"Simulation of electronic nicotine delivery systems (ENDS) aerosol dosimetry and nicotine pharmacokinetics","volume":"31","author":"J Schroeter","year":"2024","journal-title":"Computat Toxicol."},{"key":"pone.0335962.ref024","doi-asserted-by":"crossref","unstructured":"Finlay WH. The mechanics of inhaled pharmaceutical aerosols: an introduction. Academic Press; 2001. Available from: https:\/\/www.sciencedirect.com\/book\/9780122569715\/the-mechanics-of-inhaled-pharmaceutical-aerosols.","DOI":"10.1016\/B978-012256971-5\/50002-X"},{"issue":"7809","key":"pone.0335962.ref025","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1038\/s41586-020-2196-x","article-title":"Virological assessment of hospitalized patients with COVID-2019","volume":"581","author":"R W\u00f6lfel","year":"2020","journal-title":"Nature."},{"issue":"1","key":"pone.0335962.ref026","doi-asserted-by":"crossref","first-page":"6652","DOI":"10.1038\/s41598-021-85765-7","article-title":"Computational characterization of inhaled droplet transport to the nasopharynx","volume":"11","author":"S Basu","year":"2021","journal-title":"Sci Rep."},{"issue":"1","key":"pone.0335962.ref027","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1038\/s41467-020-20439-y","article-title":"Dose-dependent response to infection with SARS-CoV-2 in the ferret model and evidence of protective immunity","volume":"12","author":"KA Ryan","year":"2021","journal-title":"Nat Commun."},{"key":"pone.0335962.ref028","article-title":"Decoding the mechanophysiology for inhaled onset of smallpox with model-based implications for mpox spread","author":"M Yeasin","year":"2025","journal-title":"medRxiv."},{"key":"pone.0335962.ref029","unstructured":"Basu S. When fluid mechanics meets virology: A modeling framework for respiratory infection onset and projection of viral infectious dose. In: APS division of fluid dynamics meeting abstracts; 2021. p. A01\u2013001. Available from: https:\/\/ui.adsabs.harvard.edu\/abs\/2021APS.DFDA01001B\/abstract"},{"key":"pone.0335962.ref030","doi-asserted-by":"crossref","DOI":"10.1017\/jfm.2020.330","article-title":"The flow physics of COVID-19","volume":"894","author":"R Mittal","year":"2020","journal-title":"J Fluid Mech."},{"key":"pone.0335962.ref031","doi-asserted-by":"crossref","first-page":"1635983","DOI":"10.3389\/fphys.2025.1635983","article-title":"Perspectives on physics-based one-dimensional modeling of lung physiology","volume":"16","author":"A Chakravarty","year":"2025","journal-title":"Front Physiol."},{"issue":"1","key":"pone.0335962.ref032","doi-asserted-by":"crossref","first-page":"20778","DOI":"10.1038\/s41598-023-48053-0","article-title":"Simplified models of aerosol collision and deposition for disease transmission","volume":"13","author":"SS Jung","year":"2023","journal-title":"Sci Rep."},{"key":"pone.0335962.ref033","unstructured":"Yeasin M, Akash MMH, Basu S. A mechanics-based model for inhalation-driven transmission of smallpox. In: APS division of fluid dynamics meeting abstracts; 2024. p. ZC05\u2013006. Available from: https:\/\/ui.adsabs.harvard.edu\/abs\/2024APS.DFDZ05006Y\/abstract"},{"issue":"5","key":"pone.0335962.ref034","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevFluids.8.053102","article-title":"Effects of elastoviscoplastic properties of mucus on airway closure in healthy and pathological conditions","volume":"8","author":"O Erken","year":"2023","journal-title":"Phys Rev Fluids."},{"issue":"9","key":"pone.0335962.ref035","doi-asserted-by":"crossref","first-page":"1619","DOI":"10.1016\/j.bpj.2022.04.003","article-title":"Modeling insights into SARS-CoV-2 respiratory tract infections prior to immune protection","volume":"121","author":"A Chen","year":"2022","journal-title":"Biophys J."},{"key":"pone.0335962.ref036","doi-asserted-by":"crossref","first-page":"923945","DOI":"10.3389\/fphys.2022.923945","article-title":"Aerosol transport modeling: The key link between lung infections of individuals and populations","volume":"13","author":"C Darquenne","year":"2022","journal-title":"Front Physiol."},{"key":"pone.0335962.ref037","doi-asserted-by":"crossref","first-page":"112126","DOI":"10.1016\/j.jbiomech.2024.112126","article-title":"The utility of hybrid in silico models of airflow and aerosol dosimetry in the lung","volume":"168","author":"JM Oakes","year":"2024","journal-title":"J Biomech."},{"issue":"1","key":"pone.0335962.ref038","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1146\/annurev-fluid-031424-103721","article-title":"Multiscale modeling of respiratory transport phenomena and intersubject variability","volume":"57","author":"SC Kassinos","year":"2025","journal-title":"Annu Rev Fluid Mech."},{"key":"pone.0335962.ref039","unstructured":"Stephen MJ. Breath taking: The power, fragility, and future of our extraordinary lungs. Atlantic Monthly Press; 2021."},{"key":"pone.0335962.ref040","unstructured":"Administrator at South Dakota State University Institutional Review Board (IORG0000775). IRB determination: Application for \u201cCAREER: The Contagion Science: Integration of transport mechanics insights in mammalian upper respiratory tracts at multi scales for interdisciplinary convergence and education\u201d reviewed and determined exempt by the Institutional Review Board (IRB) at South Dakota State University \u2013 vide IRB Determination Number: IRB-2206003-EXM; 2023. https:\/\/figshare.com\/articles\/dataset\/Supplementary_Data_On_the_mechanics_of_inhaled_bronchial_transmission_of_pathogenic_microdroplets_generated_from_the_upper_respiratory_tract_with_implications_for_downwind_infection_onset\/29954564Figshare link"},{"key":"pone.0335962.ref041","volume-title":"Respiratory physiology: The essentials","author":"JB West","year":"2012"},{"issue":"4","key":"pone.0335962.ref042","doi-asserted-by":"crossref","DOI":"10.1002\/cnm.2946","article-title":"On computational fluid dynamics models for sinonasal drug transport: Relevance of nozzle subtraction and nasal vestibular dilation","volume":"34","author":"S Basu","year":"2018","journal-title":"Int J Numer Method Biomed Eng."},{"issue":"3","key":"pone.0335962.ref043","doi-asserted-by":"crossref","first-page":"511","DOI":"10.1177\/0194599817742126","article-title":"Ideal particle sizes for inhaled steroids targeting vocal granulomas: Preliminary study using computational fluid dynamics","volume":"158","author":"EL Perkins","year":"2018","journal-title":"Otolaryngol Head Neck Surg."},{"key":"pone.0335962.ref044","doi-asserted-by":"crossref","unstructured":"Weibel ER. Morphometry of the human lung. Springer Berlin Heidelberg; 1963. https:\/\/doi.org\/10.1007\/978-3-642-87553-3","DOI":"10.1007\/978-3-642-87553-3"},{"issue":"3","key":"pone.0335962.ref045","article-title":"Influence of localized mesh refinement on numerical simulations of post-surgical sinonasal airflow","volume":"30","author":"S Basu","year":"2017","journal-title":"J Aerosol Med Pulm Drug Deliv."},{"issue":"1","key":"pone.0335962.ref046","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1089\/jamp.2014.1188","article-title":"Influence of mesh density on airflow and particle deposition in sinonasal airway modeling","volume":"29","author":"DO Frank-Ito","year":"2016","journal-title":"J Aerosol Med Pulm Drug Deliv."},{"key":"pone.0335962.ref047","volume-title":"Turbulence modeling for CFD","author":"DC Wilcox","year":"1998"},{"key":"pone.0335962.ref048","doi-asserted-by":"crossref","unstructured":"Kim W-W, Menon S, Kim W-W, Menon S. Application of the localized dynamic subgrid-scale model to turbulent wall-bounded flows. In: 35th Aerospace sciences meeting and exhibit; 1997. https:\/\/doi.org\/10.2514\/6.1997-210","DOI":"10.2514\/6.1997-210"},{"key":"pone.0335962.ref049","doi-asserted-by":"crossref","DOI":"10.1080\/14685248.2010.520016","article-title":"Different SGS models in large eddy simulation of 90\u00b0 square cross-section bends","volume":"11","author":"N Baghernezhad","year":"2010","journal-title":"J Turbulence."},{"key":"pone.0335962.ref050","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1016\/j.compfluid.2017.08.003","article-title":"Numerical investigation of turbulent airflow and microparticle deposition in a realistic model of human upper airway using LES","volume":"157","author":"E Ghahramani","year":"2017","journal-title":"Comput Fluids."},{"issue":"1","key":"pone.0335962.ref051","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1115\/1.483225","article-title":"On the constitutive relation for the Reynolds stresses and the Prandtl-Kolmogorov hypothesis of effective viscosity in axisymmetric strained turbulence","volume":"122","author":"J Jovanovic\u00c2\u00b4","year":"1999","journal-title":"J Fluids Eng."},{"issue":"7","key":"pone.0335962.ref052","doi-asserted-by":"crossref","first-page":"607","DOI":"10.1080\/08958370802320186","article-title":"Dosimetry of nasal uptake of water-soluble and reactive gases: A first study of interhuman variability","volume":"21","author":"GJM Garcia","year":"2009","journal-title":"Inhal Toxicol."},{"issue":"1","key":"pone.0335962.ref053","doi-asserted-by":"crossref","first-page":"32","DOI":"10.1007\/BF01448839","article-title":"\u00dcber die partiellen Differenzengleichungen der mathematischen Physik","volume":"100","author":"R Courant","year":"1928","journal-title":"Math Ann."},{"key":"pone.0335962.ref054","doi-asserted-by":"crossref","DOI":"10.1017\/9781316823736","volume-title":"A first course in computational fluid dynamics","author":"H Aref","year":"2017"},{"issue":"2","key":"pone.0335962.ref055","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1017\/S0022112072001806","article-title":"An investigation of particle trajectories in two-phase flow systems","volume":"55","author":"SA Morsi","year":"1972","journal-title":"J Fluid Mech."},{"issue":"22","key":"pone.0335962.ref056","doi-asserted-by":"crossref","first-page":"11875","DOI":"10.1073\/pnas.2006874117","article-title":"The airborne lifetime of small speech droplets and their potential importance in SARS-CoV-2 transmission","volume":"117","author":"V Stadnytskyi","year":"2020","journal-title":"Proc Natl Acad Sci U S A."},{"issue":"10","key":"pone.0335962.ref057","doi-asserted-by":"crossref","first-page":"2825","DOI":"10.1110\/ps.04688204","article-title":"Average protein density is a molecular-weight-dependent function","volume":"13","author":"H Fischer","year":"2004","journal-title":"Protein Sci."},{"key":"pone.0335962.ref058","unstructured":"Basu S, Chamorro LP, Yeasin M, Stremler MA. Modeling the effect of vorticity on inhaled transport in the upper airway. 2024. https:\/\/doi.org\/10.48550\/arXiv.2406.09708"},{"issue":"9","key":"pone.0335962.ref059","article-title":"\u00dcber fortschreitende Singularit\u00e4ten der ebenen Bewegung einer inkompressiblen Fl\u00fcssigkeit","volume":"5","author":"A Friedmann","year":"1928","journal-title":"Recueil de G\u00e9ophysique."},{"issue":"6","key":"pone.0335962.ref060","doi-asserted-by":"crossref","DOI":"10.1063\/1.2425103","article-title":"Point vortex dynamics: A classical mathematics playground","volume":"48","author":"H Aref","year":"2007","journal-title":"J Math Phys."},{"key":"pone.0335962.ref061","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1017\/jfm.2017.563","article-title":"Exploring the dynamics of \u20182P\u2019 wakes with reflective symmetry using point vortices","volume":"831","author":"S Basu","year":"2017","journal-title":"J Fluid Mech."},{"issue":"4","key":"pone.0335962.ref062","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1063\/1.864230","article-title":"Equation of motion for a small rigid sphere in a nonuniform flow","volume":"26","author":"MR Maxey","year":"1983","journal-title":"Phys Fluids."},{"key":"pone.0335962.ref063","unstructured":"Maxey MR. Personal communication (in Austin, TX); 23-Jun-2022."},{"issue":"25","key":"pone.0335962.ref064","doi-asserted-by":"crossref","first-page":"5764","DOI":"10.1103\/PhysRevLett.84.5764","article-title":"Dynamics of a small neutrally buoyant sphere in a fluid and targeting in Hamiltonian systems","volume":"84","author":"A Babiano","year":"2000","journal-title":"Phys Rev Lett."},{"key":"pone.0335962.ref065","doi-asserted-by":"crossref","first-page":"036308","DOI":"10.1103\/PhysRevE.78.036308","article-title":"Particle segregation by Stokes number for small neutrally buoyant spheres in a fluid","volume":"78","author":"P Tallapragada","year":"2008","journal-title":"Phys Rev E Stat Nonlin Soft Matter Phys."},{"key":"pone.0335962.ref066","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/j.medengphy.2017.03.004","article-title":"Penetration of inhaled aerosols in the bronchial tree","volume":"44","author":"AF Miguel","year":"2017","journal-title":"Med Eng Phys."},{"issue":"2","key":"pone.0335962.ref067","article-title":"SARS-CoV-2 reverse genetics reveals a variable infection gradient in the respiratory tract","volume":"182","author":"YJ Hou","year":"2020","journal-title":"Cell."},{"key":"pone.0335962.ref068","unstructured":"RESPe. Normal breathing. https:\/\/www.respelearning.scot\/topic-1-anatomy-and-physiology\/normal-breathing"},{"key":"pone.0335962.ref069","volume-title":"Mathematical methods for physics and engineering","author":"KF Riley","year":"2004"},{"issue":"4","key":"pone.0335962.ref070","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","article-title":"A simplex method for function minimization","volume":"7","author":"JA Nelder","year":"1965","journal-title":"Comput J."},{"issue":"1","key":"pone.0335962.ref071","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1137\/S1052623496303470","article-title":"Convergence properties of the Nelder\u2013Mead simplex method in low dimensions","volume":"9","author":"JC Lagarias","year":"1998","journal-title":"SIAM J Optim."},{"key":"pone.0335962.ref072","volume-title":"Aerosol measurement: Principles, techniques, and applications","author":"K Willeke","year":"1993"},{"issue":"1","key":"pone.0335962.ref073","doi-asserted-by":"crossref","first-page":"10568","DOI":"10.1038\/s41598-020-66716-0","article-title":"Numerical evaluation of spray position for improved nasal drug delivery","volume":"10","author":"S Basu","year":"2020","journal-title":"Sci Rep."},{"key":"pone.0335962.ref074","doi-asserted-by":"crossref","first-page":"1164671","DOI":"10.3389\/fddev.2023.1164671","article-title":"On a model-based approach to improve intranasal spray targeting for respiratory viral infections","volume":"3","author":"MMH Akash","year":"2023","journal-title":"Front Drug Deliv."},{"key":"pone.0335962.ref075","doi-asserted-by":"crossref","first-page":"946","DOI":"10.1017\/jfm.2018.359","article-title":"Unsteady sheet fragmentation: droplet sizes and speeds","volume":"848","author":"Y Wang","year":"2018","journal-title":"J Fluid Mech."},{"key":"pone.0335962.ref076","doi-asserted-by":"crossref","unstructured":"Mortazavi H, Mortazavy Beni H, Islam MS, Paul G. Aerosolized airborne bacteria and viruses inhalation: Micro-bioaerosols deposition effects through upper nasal airway inhalation. Digital human modeling and medicine. Elsevier; 2023. p. 275\u201388. https:\/\/doi.org\/10.1016\/b978-0-12-823913-1.00009-9","DOI":"10.1016\/B978-0-12-823913-1.00009-9"},{"key":"pone.0335962.ref077","doi-asserted-by":"crossref","first-page":"106163","DOI":"10.1016\/j.jaerosci.2023.106163","article-title":"The effect of the mucus layer and the inhaled air conditions on the droplets fate in the human nasal cavity: A numerical study","volume":"171","author":"Y Aghaei","year":"2023","journal-title":"J Aerosol Sci."},{"key":"pone.0335962.ref078","doi-asserted-by":"crossref","first-page":"105626","DOI":"10.1016\/j.jaerosci.2020.105626","article-title":"Modeling of the transport, hygroscopic growth, and deposition of multi-component droplets in a simplified airway with realistic thermal boundary conditions","volume":"151","author":"X Chen","year":"2021","journal-title":"J Aerosol Sci."},{"key":"pone.0335962.ref079","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0034-5687(00)00154-7","article-title":"Breathing pattern in humans: Diversity and individuality","volume":"122","author":"G Benchetrit","year":"2000","journal-title":"Respir Physiol."},{"issue":"188","key":"pone.0335962.ref080","doi-asserted-by":"crossref","first-page":"20210849","DOI":"10.1098\/rsif.2021.0849","article-title":"On the design of particle filters inspired by animal noses","volume":"19","author":"J Yuk","year":"2022","journal-title":"J R Soc Interface."},{"issue":"1665","key":"pone.0335962.ref081","first-page":"2233","article-title":"An experimental test of the independent action hypothesis in virus-insect pathosystems","volume":"276","author":"MP Zwart","year":"2009","journal-title":"Proc Biol Sci."},{"issue":"6","key":"pone.0335962.ref082","doi-asserted-by":"crossref","DOI":"10.1371\/journal.pone.0265816","article-title":"Finding the infectious dose for COVID-19 by applying an airborne-transmission model to superspreader events","volume":"17","author":"M Prentiss","year":"2022","journal-title":"PLoS One."}],"container-title":["PLOS One"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0335962","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,11,7]],"date-time":"2025-11-07T18:35:14Z","timestamp":1762540514000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pone.0335962"}},"subtitle":[],"editor":[{"given":"Saidul","family":"Islam","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"editor"}]}],"short-title":[],"issued":{"date-parts":[[2025,11,7]]},"references-count":82,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2025,11,7]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pone.0335962","relation":{},"ISSN":["1932-6203"],"issn-type":[{"value":"1932-6203","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,11,7]]}}}