Abstract
Respiratory syncytial virus can lead to serious lower respiratory infection (LRI), particularly in children and the elderly. LRI can cause longer infections, lingering respiratory problems, and higher incidence of hospitalization. In this paper, we use a simplified ordinary differential equation model of viral dynamics to study the role of transport mechanisms in the occurrence of LRI. Our model uses two compartments to simulate the upper respiratory tract and the lower respiratory tract (LRT) and assumes two distinct types of viral transfer between the two compartments: diffusion and advection. We find that a range of diffusion and advection values lead to long-lasting infections in the LRT, elucidating a possible mechanism for the severe LRI infections observed in humans.
Similar content being viewed by others
References
Allen LJ, Schwartz EJ (2015) Free-virus and cell-to-cell transmission in models of equine infectious anemia virus infection. Math Biosci 270(B):237–248. https://doi.org/10.1016/j.mbs.2015.04.001
Anekal SG, Zhu Y, Graham MD, Yin J (2009) Dynamics of virus spread in the presence of fluid flow. Integr Biol 1(11–12):664–671. https://doi.org/10.1039/b908197f
Atwell JE, Geoghegan S, Karron RA, Polack FP (2016) Clinical predictors of critical lower respiratory tract illness due to respiratory syncytial virus in infants and children: data to inform case definitions for efficacy trials. J Infect Dis 214(11):1712–1716. https://doi.org/10.1093/infdis/jiw447
Baccam P, Beauchemin C, Macken CA, Hayden FG, Perelson AS (2006) Kinetics of influenza A virus infection in humans. J Virol 80(15):7590–7599. https://doi.org/10.1128/JVI.01623-05
Backman K, Piippo-Savolainen E, Ollikainen H, Koskela H, Korppi M (2014) Adults face increased asthma risk after infant RSV bronchiolitis and reduced respiratory health-related quality of life after RSV pneumonia. Acta Pediatr 103(8):850–855. https://doi.org/10.1111/apa.12662
Bagga B, Woods CW, Veldman TH, Gilbert A, Mann A, Balaratnam G, Lambkin-Williams R, Oxford JS, McClain MT, Wilkinson T, Nicholson BP, Ginsburg GS, DeVincenzo JP (2013) Comparing influenza and RSV viral disease dynamics in experimentally infected adults predicts clinical effectiveness of RSV antivirals. Antivir Ther 18:785–791. https://doi.org/10.3851/IMP2629
Bai F, Allen LJ (2019) Probability of a major infection in a stochastic within-host model with multiple stages. Appl Math Lett 87:1–6. https://doi.org/10.1016/j.aml.2018.07.022
Beauchemin C, Samuel J, Tuszynski J (2005) A simple cellular automaton model for influenza A viral infections. J Theor Biol 232(2):223–234. https://doi.org/10.1016/j.jtbi.2004.08.001
Beauchemin CA, Miura T, Iwami S (2017) Duration of SHIV production by infected cells is not exponentially distributed: implications for estimates of infection parameters and antiviral efficacy. Sci Rep 7:42765. https://doi.org/10.1038/srep42765
Bocharov G, Meyerhans A, Bessonov N, Trofimchuk S, Volpert V (2016) Spatiotemporal dynamics of virus infection spreading in tissues. PLoS ONE 11(12):e0168576. https://doi.org/10.1371/journal.pone.0168576
Bont L, Steijn M, van Aalderen W, Kimpen J (2004) Impact of wheezing after respiratory syncytial virus infection on health-related quality of life. Pediatr Infect Dis J 23(5):414–417. https://doi.org/10.1097/01.inf.0000122604.32137.29
Branche AR, Falsey AR (2015) Respiratory syncytial virus infection in older adults: an under-recognized problem. Drugs Aging 32(4):261–269. https://doi.org/10.1007/s40266-015-0258-9
Cao P, McCaw JM (2017) The mechanisms for within-host influenza virus control affect model-based assessment and prediction of antiviral treatment. Viruses 9(8):197. https://doi.org/10.3390/v9080197
Crystal RG, West JB (1991) The lung: scientific foundations. Raven Press Ltd., New York
Cush R, Russo P, Kucukyavuz Z, Bu Z, Neau D, Shih D, Kucukyavuz S, Ricks H (1997) Rotational and translational diffusion of a rodlike virus in random coil polymer solutions. Macromolecules 30(17):4920–4926. https://doi.org/10.1021/ma970032f
de Oliveira-Maul JP, de Carvalho HB, Goto DM, Maia RM, Flo C, Barnabe V, Franco DR, Benabou S, Perracini MR, Jacob-Filho W, Saldiva PHN, Lorenzi-Filho G, Rubin BK, Nakagawa NK (2013) Aging, diabetes, and hypertension are associated with decreased nasal mucociliary clearance. Chest 143(4):1091–1097. https://doi.org/10.1378/chest.12-1183
Dobrovolny HM, Reddy MB, Kamal MA, Rayner CR, Beauchemin CA (2013) Assessing mathematical models of influenza infections using features of the immune response. PLoS ONE 8(2):e57088. https://doi.org/10.1371/journal.pone.0057088
dos Santos R, Coutinho S (2001) Dynamics of HIV infection: a cellular automata approach. Phys Rev Lett 87(16):168102. https://doi.org/10.1103/PhysRevLett.87.168102
Ebbert J, Limper A (2005) Respiratory syncytial virus pneumonitis in immunocompromised adults: clinical features and outcome. Respiration 72(3):263–269. https://doi.org/10.1159/000085367
Everard M, Swarbrick A, Wrightman M, Mcintyre J, Dunkley C, James P, Sewell H, Milner A (1994) Aanalysis of cells obtained by bronchial lavage of infants with respiratory syncytial virus infection. Arch Dis Child 71(5):428–432
Fauroux B, Simoes EA, Checchia PA, Paes B, Figueras-Aloy J, Manzoni P, Bont L, Carbonell-Estrany X (2017) The burden and long-term respiratory morbidity associated with respiratory syncytial virus infection in early childhood. Infect Dis Ther 6(2):173–197. https://doi.org/10.1007/s40121-017-0151-4
Fleming DM, Taylor RJ, Lustig RL, Schuck-Paim C, Haguinet F, Webb DJ, Logie J, Matias G, Taylor S (2015) Modelling estimates of the burden of respiratory syncytial virus infection in adults and the elderly in the united kingdom. BMC Infect Dis 15:443. https://doi.org/10.1186/s12879-015-1218-z
Forster J, Ihorst G, Rieger C, Stephan V, Frank H, Gurth H, Berner R, Rohwedder A, Werchau H, Schumacher M, Tsai T, Petersen G (2004) Prospective population-based study of viral lower respiratory tract infections in children under 3 years of age (the PRI.DE study). Eur J Pediatr 163(12):709–716. https://doi.org/10.1007/s00431-004-1523-9
Frank S (2000) Within-host spatial dynamics of viruses and defective interfering particles. J Theor Biol 206(2):279–290. https://doi.org/10.1006/jtbi.2000.2120
Fukuyama S, Katsura H, Zhao D, Ozawa M, Ando T, Shoemaker JE, Ishikawa I, Yamada S, Neumann G, Watanabe S, Kitano H, Kawaoka Y (2015) Multi-spectral fluorescent reporter influenza viruses (Color-flu) as powerful tools for in vivo studies. Nat Commun 8:6600. https://doi.org/10.1038/ncomms7600
Gallagher ME, Brooke CB, Ke R, Koelle K (2018) Causes and consequences of spatial within-host viral spread. Viruses 10(11):627. https://doi.org/10.3390/v10110627
GBD 2015 Eastern Mediterranean Region LRI Collaborators (2017) Intravenous ribavirin for respiratory syncytial viral infections in pediatric hematopoietic SCT recipients. Int J Publ Health. https://doi.org/10.1007/s00038-017-1007-0
Geoghegan S, Erviti A, Caballero MT, Vallone F, Zanone SM, Ves Losada J, Bianchi A, Acosta PL, Talarico LB, Ferretti A, Alva Grimaldi L, Sancilio A, Duenas K, Sastre G, Rodriguez A, Ferrero F, Barboza E, Gago GF, Nocito C, Flamenco E, Perez AR, Rebec B, Ferolla FM, Libster R, Karron RA, Bergel E, Polack FP (2017) Mortality due to respiratory syncytial virus burden and risk factors. Am J Respir Crit Care Med 195(1):96–103. https://doi.org/10.1164/rccm.201603-0658OC
González-Parra G, Dobrovolny HM (2015) Assessing uncertainty in A2 respiratory syncytial virus viral dynamics. Comput Math Methods Med 2015:567589. https://doi.org/10.1155/2015/567589
González-Parra G, Dobrovolny HM (2018a) Modeling of fusion inhibitor treatment of RSV in African green monkeys. J Theor Biol 456:62–73. https://doi.org/10.1016/j.jtbi.2018.07.029
González-Parra G, Dobrovolny HM (2018b) A quantitative assessment of dynamical differences of RSV infections in vitro and in vivo. Virology. https://doi.org/10.1016/j.virol.2018.07.027
Goodman J, Weare J (2010) Ensemble samplers with affine invariance. Commun Appl Math Comput Sci 5(1):65–80
Goyal A, Murray JM (2016) Modelling the impact of cell-to-cell transmission in hepatitis B virus. PLoS ONE 11(8):e0161978. https://doi.org/10.1371/journal.pone.0161978
Grieves JL, Yin Z, Durbin RK, Durbin JE (2015) Acute and chronic airway disease after human respiratory syncytial virus infection in cotton rats (sigmodon hispidus). Comput Med 65(4):315–326
Grubb BR, Livraghi-Butrico A, Rogers TD, Yin W, Button B, Ostrowski LE (2016) Prophylactic administration of respiratory syncytial virus immune globulin to high-risk infants and young children. Am J Physiol 310(9):L860–L867. https://doi.org/10.1152/ajplung.00015.2016
Guerrero-Plata A, Kolli D, Hong C, Casola A, Garofalo RP (2009) Subversion of pulmonary dendritic cell function by paramyxovirus infections. J Immunol 182(5):3072–3083. https://doi.org/10.4049/jimmunol.0802262
Guo-Parke H, Canning P, Douglas I, Villenave R, Heaney LG, Coyle PV, Lyons JD, Shields MD, Power UF (2013) Relative respiratory syncytial virus cytopathogenesis in upper and lower respiratory tract epithelium. Am J Respir Crit Care Med 188(7):842–851. https://doi.org/10.1164/rccm.201304-0750OC
Hagenaars T, Fischer E, Jansen C, Rebel J, Spekreijse D, Vervelde L, Backer J, de Jong M, Koets A (1976) Respiratory syncytial virus-infections in infants—quantitation and duration of shedding. J Pediatr 89(1):11–15. https://doi.org/10.1016/S0022-3476(76)80918-3
Hall C, Long C, Schnabel K (2001) Respiratory syncytial virus infections in previously healthy working adults. Clin Inf Dis 33(6):792–796. https://doi.org/10.1086/322657
Handel A, Li Y, McKay B, Pawelek KA, Zarnitsyna V, Antia R (2018) Exploring the impact of inoculum dose on host immunity and morbidity to inform model-based vaccine design. PLoS Comput Biol 14(10):e1006505. https://doi.org/10.1371/journal.pcbi.1006505
Ho J, Chan K, Hu W, Lam W, Zheng L, Tipoe G, Sun J, Leung R, Tsang K (2001) The effect of aging on nasal mucociliary clearance, beat frequency, and ultrastructure of respiratory cilia. Am J Respir Crit Care Med 163(4):983–988
Holder BP, Beauchemin CA (2011) Exploring the effect of biological delays in kinetic models of influenza within a host or cell culture. BMC Public Health 11(S1):S10. https://doi.org/10.1186/1471-2458-11-S1-S10
Holder BP, Liao LE, Simon P, Boivin G, Beauchemin CAA (2011a) Design considerations in building in silico equivalents of common experimental influenza virus assays and the benefits of such an approach. Autoimmunity. https://doi.org/10.3109/08916934.2011.523267
Holder BP, Simon P, Liao LE, Abed Y, Bouhy X, Beauchemin CA, Boivin G (2011b) Assessing the in vitro fitness of an oseltamivir-resistant seasonal A/H1N1 influenza strain using a mathematical model. PLOS ONE 6(3):e14767. https://doi.org/10.1371/journal.pone.0014767
Hosakote YM, Brasier AR, Casola A, Garofalo RP, Kurosky A (2016) Respiratory syncytial virus infection triggers epithelial HMGB1 release as a damage-associated molecular pattern promoting a monocytic inflammatory response. J Virol 90(21):9618–9631. https://doi.org/10.1128/JVI.01279-16
Kakizoe Y, Nakaoka S, Beauchemin CAA, Morita S, Mori H, Igarashi T, Aihara K, Miura T, Iwami S (2015) A method to determine the duration of the eclipse phase for in vitro infection with a highly pathogenic SHIV strain. Sci Rep 5:10371. https://doi.org/10.1038/srep10371
Kaneko M, Watanabe J, Ueno E, Hida M, Sone T (2001) Risk factors for severe respiratory syncytial virus-associated lower respiratory tract infection in children. Pediatr Int 43(5):489–492. https://doi.org/10.1046/j.1442-200X.2001.01438.x
Kesimer M, Ehre C, Burns K, Davis C, Sheehan J, Pickles R (2013) Molecular organization of the mucins and glycocalyx underlying mucus transport over mucosal surfaces of the airways. Mucosal Immunol 6(2):379–392. https://doi.org/10.1038/mi.2012.81
Kim MC, Kim MY, Lee HJ, Lee SO, Choi SH, Kim YS, Woo JH, Kim SH (2016) CT findings in viral lower respiratory tract infections caused by parainfluenza virus, influenza virus and respiratory syncytial virus. Medicine 95(26):e4003. https://doi.org/10.1097/MD.0000000000004003
Kusel MM, de Klerk NH, Holt PG, Kebadze T, Johnston SL, Sly PD (2006) Role of respiratory viruses in acute upper and lower respiratory tract illness in the first year of life—a birth cohort study. Pediatr Infect Dis J 25(8):680–686. https://doi.org/10.1097/01.inf.0000226912.88900.a3
Laham F, Israele V, Casellas J, Garcia A, Prugent C, Hoffman S, Hauer D, Thumar B, Name M, Pascual A, Taratutto N, Ishida M, Balduzzi M, Maccarone M, Jackli S, Passarino R, Gaivironsky R, Karron R, Polack N, Polack F (2004) Differential production of inflammatory cytokines in primary infection with human metapneumovirus and with other common respiratory viruses of infancy. J Infect Dis 189(11):2047–2056. https://doi.org/10.1086/383350
Lee FEH, Walsh EE, Falsey AR, Betts RF, Treanor JJ (2004) Experimental infection of humans with A2 respiratory syncytial virus. Antivir Res 63:191–196. https://doi.org/10.1016/j.antiviral.2004.04.005
Lee N, Chan MC, Lui GC, Li R, Wong RY, Yung IM, Cheung CS, Chan EC, Hui DS, Chan PK (2015) High viral load and respiratory failure in adults hospitalized for respiratory syncytial virus infections. J Infect Dis 212(8):1237–1240. https://doi.org/10.1093/infdis/jiv248
Li Y, Handel A (2014) Modeling inoculum dose dependent patterns of acute virus infections. J Theor Biol 347:63–73. https://doi.org/10.1016/j.jtbi.2014.01.008
Manicassamy B, Manicassamy S, Belicha-Villanueva A, Pisanelli G, Pulendran B, Garca-Sastre A (2010) Analysis of in vivo dynamics of influenza virus infection in mice using a GFP reporter virus. Proc Natl Acad Sci USA 107(25):11531–11536. https://doi.org/10.1073/pnas.0914994107
Mejias A, Chavez-Bueno S, Gomez AM, Somers C, Estripeaut D, Torres JP, Jafri HS, Ramilo O (2008) Respiratory syncytial virus persistence—evidence in the mouse model. Pediatr Infect Dis J 27(10):S60–S62. https://doi.org/10.1097/INF.0b013e3181684d52
Miao H, Xia X, Perelson AS, Wu H (2011) On identifiability of nonlinear ODE models and applications in viral dynamics. SIAM Rev 53(1):3–39. https://doi.org/10.1137/090757009
Mills J, Vankirk J, Wright P, Chanock R (1971) Experimental respiratory syncytial virus infection of adults—possible mechanisms of resistance to infection and illness. J Immunol 107(1):123–130
Moore ML, Stokes KL, Hartert TV (2013) The impact of viral genotype on pathogenesis and disease severity: respiratory syncytial virus and human rhinoviruses. Curr Opin Immunol 25(6):761–768. https://doi.org/10.1016/j.coi.2013.09.016
Murphy S, Florman A (1983) Lung defenses against infection—a clinical correlation. Pediatrics 72(1):1–15
Nair H, Nokes DJ, Gessner BD, Dherani M, Madhi SA, Singleton RJ, O’Brien KL, Roca A, Wright PF, Bruce N, Chandran A, Theodoratou E, Sutanto A, Sedyaningsih ER, Ngama M, Munywoki PK, Kartasasmita C, Simoes EA, Rudan I, Weber MW, Campbell H (2010) Global burden of acute lower respiratory infections due to respiratory syncytial virus in young children: a systematic review and meta-analysis. Lancet 375(9725):1545–1555. https://doi.org/10.1016/S0140-6736(10)60206-1
Naorat S, Chittaganpitch M, Thamthitiwat S, Henchaichon S, Sawatwong P, Srisaengchai P, Lu Y, Chuananon S, Amornintapichet T, Chantra S, Erdman DD, Maloney SA, Akarasewi P, Baggett HC (2013) Hospitalizations for acute lower respiratory tract infection due to respiratory syncytial virus in thailand, 2008–2011. J Infect Dis 203(S3):S238–S245. https://doi.org/10.1093/infdis/jit456
Palmer L, Hall CB, Katkin JP, Shi N, Masaquel AS, McLaurin KK, Mahadevia PJ (2010) Healthcare costs within a year of respiratory syncytial virus among medicaid infants. Pediatr Pulmonol 45(8):772–781. https://doi.org/10.1002/ppul.21244
Park SY, Kim T, Jang YR, Kim MC, Chong YP, Lee SO, Choi SH, Kim YS, Woo JH, Kim SH (2017) Factors predicting life-threatening infections with respiratory syncytial virus in adult patients. Infect Dis 49(5):333–340. https://doi.org/10.1080/23744235.2016.1260769
Parkinson D, Mukherjee P, Liddle AR (2006) Bayesian model selection analysis of WMAP3. Phys Rev D 73(12):123523. https://doi.org/10.1103/PhysRevD.73.123523
Perez-Yarza EG, Moreno A, Lazaro P, Mejias A, Ramilo O (2007) The association between respiratory syncytial virus infection and the development of childhood asthma—a systematic review of the literature. Pediatr Infect Dis J 26(8):733–739. https://doi.org/10.1097/INF.0b013e3180618c42
Piedimonte G (2013) Respiratory syncytial virus and asthma: speed-dating or long-term relationship? Curr Opin Pediatr 25(3):344–349. https://doi.org/10.1097/MOP.0b013e328360bd2e
Plotnicky-Gilquin H, Robert A, Chevalet L, Haeuw J, Beck A, Bonnefoy J, Brandt C, Siegrist C, Nguyen T, Power U (2000) CD4(+) T-cell-mediated antiviral protection of the upper respiratory tract in BALB/c mice following parenteral immunization with a recombinant respiratory syncytial virus G protein fragment. J Virol 74(8):3455–3463. https://doi.org/10.1128/JVI.74.8.3455-3463.2000
Poulsen A, Stensballe LG, Nielsen J, Benn CS, Balde A, Roth A, Lisse IM, Aaby P (2006) Long-term consequences of respiratory syncytial virus acute lower respiratory tract infection in early childhood in Guinea–Bissau. Pediatr Inf Dis J 25(11):1025–1031. https://doi.org/10.1097/01.inf.0000243214.80794.3a
Prince GA, Porter DD (1976) The pathogenesis of respiratory syncytial virus infection in infant ferrets. Am J Pathol 82(2):339–350
Puchelle E, Zahm J, Bertrand A (1979) Influence of age on bronchial mucociliary transport. Scand J Respir Dis 60(6):307–313
Reperant LA, Kuiken T, Grenfell BT, Osterhaus ADME, Dobson AP (2012) Linking influenza virus tissue tropism to population-level reproductive fitness. PLoS ONE 7(8):e43115. https://doi.org/10.1371/journal.pone.0043115
Robert D, Verbiest D, Demey H, Ieven M, Jansens H, Jorens P (2008) A series of five adult cases of respiratory syncytial virus-related acute respiratory distress syndrome. Anaesth Intensive Care 36(2):230–234
Ruckwardt TJ, Morabito KM, Graham BS (2016) Determinants of early life immune responses to RSV infection. Curr Opin Virol 16:151–157. https://doi.org/10.1016/j.coviro.2016.01.003
Sealy RE, Surman SL, Hurwitz JL (2017) CD4(+) T cells support establishment of RSV-specific IgG and IgA antibody secreting cells in the upper and lower murine respiratory tract following RSV infection. Vaccine 35(20):2617–2621. https://doi.org/10.1016/j.vaccine.2017.03.073
Shi T, Balsells E, Wastnedge E, Singleton R, Rasmussen Z, Zar HJ, Rath BA, Madhi SA, Campbell S, Vaccari LC, Bulkow LR, Thomas ED, Barnett W, Hoppe C, Campbell H, Nair H (2015) Risk factors for respiratory syncytial virus associated with acute lower respiratory infection in children under five years: systematic review and meta-analysis. J Global Health 5(2):203–215. https://doi.org/10.7189/jogh.05.020416
Spann KM, Baturcam E, Schagen J, Jones C, Straub CP, Preston FM, Chen L, Phipps S, Sly PD, Fantino E (2014) Viral and host factors determine innate immune responses in airway epithelial cells from children with wheeze and atopy. Thorax 69(10):918–925. https://doi.org/10.1136/thoraxjnl-2013-204908
Stoffer D, Wall K (1991) Bootstrapping state-space models: Gaussian maximum likelihood estimation and the kalman filter. J Am Stat Assoc 86(416):1024–1033. https://doi.org/10.2307/2290521
Strain M, Richman D, Wong J, Levine H (2002) Spatiotemporal dynamics of HIV propagation. J Theor Biol 218(1):85–96. https://doi.org/10.1006/yjtbi.3055
Sturm R (2012) Theoretical models of carcinogenic particle deposition and clearance in children’s lungs. J Thorac Dis 4(4):368–376. https://doi.org/10.3978/j.issn.2072-1439.2012.08.03
Takeyama A, Hashimoto K, Sato M, Kawashima R, Kawasaki Y, Hosoya M (2016) Respiratory syncytial virus shedding by children hospitalized with lower respiratory tract infection. J Med Virol 88(6):938–946. https://doi.org/10.1002/jmv.24434
Tregoning JS, Schwarze J (2010) Respiratory viral infections in infants: causes, clinical symptoms, virology, and immunology. Clin Microbiol Rev 23(1):74–98. https://doi.org/10.1128/CMR.00032-09
Ueki H, Wang IH, Fukuyama S, Katsura H, da Silva Lopes TJ, Neumann G, Kawaoka Y (2018) In vivo imaging of the pathophysiological changes and neutrophil dynamics in influenza virus-infected mouse lungs. Proc Natl Acad Sci USA 115(18):E6622–E6629. https://doi.org/10.1073/pnas.1806265115
Vareille M, Kieninger E, Edwards MR, Regamey N (2011) The airway epithelium: soldier in the fight against respiratory viruses. Clin Microbiol Rev 24(1):210–229. https://doi.org/10.1128/CMR.00014-10
Walpita P, Johns LM, Tandon R, Moore ML (2015) Mammalian cell-derived respiratory syncytial virus-like particles protect the lower as well as the upper respiratory tract. PLoS ONE 10(7):e0130755. https://doi.org/10.1371/journal.pone.0130755
Walsh EE, Peterson DR, Falsey AR (2013) Viral shedding and immune responses to respiratory syncytial virus infection in older adults. J Infect Dis 207:1424–1432. https://doi.org/10.1093/infdis/jit038
Wang X, Tang S, Song X, Rong L (2017) Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. J Biol Dyn 11(2):455–483. https://doi.org/10.1080/17513758.2016.1242784
Wolf D, Greenberg D, Kalkstein D, Shemer-Avni Y, Givon-Lavi N, Saleh N, Goldberg M, Dagan R (2006) Comparison of human metapneumovirus, respiratory syncytial virus and influenza A virus lower respiratory tract infections in hospitalized young children. Pediatr Inf Dis J 25(4):320–324. https://doi.org/10.1097/01.inf.0000207395.80657.cf
Worden K, Hensman J (2012) Parameter estimation and model selection for a class of hysteretic systems using bayesian inference. Mech Syst Signal Process 32:153–169
Yan AW, Cao P, Mccaw JM (2016) On the extinction probability in models of within-host infection: the role of latency and immunity. J Math Biol 73(4):787–813. https://doi.org/10.1007/s00285-015-0961-5
Yan AW, Cao P, Heffernan JM, McVernon J, Quinn KM, La Gruta NL, Laurie KL, Mccaw JM (2017) Modelling cross-reactivity and memory in the cellular adaptive immune response to influenza infection in the host. J Theor Biol 413:34–49. https://doi.org/10.1016/j.jtbi.2016.11.008
Zeng R, Li C, Li N, Wei L, Cui Y (2011) The role of cytokines and chemokines in severe respiratory syncytial virus infection and subsequent asthma. Cytokine 53(1):1–7. https://doi.org/10.1016/j.cyto.2010.09.011
Zhao Y, Jamaluddin M, Zhang Y, Sun H, Ivanciuc T, Garofalo RP, Brasier AR (2017) Systematic analysis of cell-type differences in the epithelial secretome reveals insights into the pathogenesis of respiratory syncytial virus-induced lower respiratory tract infections. J Immunol 198(8):3345–3364. https://doi.org/10.4049/jimmunol.1601291
Acknowledgements
The authors would like to acknowledge the assistance and helpful advice provided by Gabriela Ispas, Filip De Ridder, Dymphy Huntjens, and Dirk Roymans. Hana M. Dobrovolny received funding from Janssen R&D Belgium, and Gilberto Gonzalez-Parra’s salary was paid by a grant from Janssen R&D Belgium. Pediatric patient data was provided by Janssen R&D Belgium.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Electronic supplementary material
Below is the link to the electronic supplementary material.
Rights and permissions
About this article
Cite this article
González-Parra, G., Dobrovolny, H.M. The rate of viral transfer between upper and lower respiratory tracts determines RSV illness duration. J. Math. Biol. 79, 467–483 (2019). https://doi.org/10.1007/s00285-019-01364-1
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00285-019-01364-1