Abstract
Competition among the different classes of genogroups of meningococcal and further bacteria takes place in the ecosystem they constitute within the human body environment. To the best of our knowledge, most of the epidemiological models neglect competition that could highly influence the dynamics of the meningococcal as well as its outbreak. In this paper, we propose a susceptible-carrier-susceptilbe epidemiological model in order to describe the evolution of the percentage of carriers in the population over the time. Moreover, we introduce a competition model to study the dynamics of the meningococcal genogroups in Spain among the carriers. As we are just interested in the meningococcus B, the latter model considers two subpopulations, meningococcal genogroup B and the rest. Both models depend on a number of parameters that are adjusted using real data from the distribution of the genogroups in Spain in years 2011 and 2012. Since these data survey contain sample errors, we further quantify the uncertainties associated to the model parameters taking advantage of a probabilistic fitting method that has been recently proposed by some of the authors. This allows us to give a probabilistic prediction for the evolution of the carriers of the two genogroup over the next few years by constructing a \(95\%\) confidence interval for the percentage of carriers of meningococcus B.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Cartwright, K.: Meningococcal carriage and disease. In: Cartwright, K. (ed.) Meningococcal Disease, pp. 71–114. Wiley, Chichester (1995)
De Walls, P.: Immunization strategies for the control of serogroup C meningococcal disease in developed countries. Expert. Rev. Vaccines 5, 269–275 (2006)
Pérez-Breva, L., Villanueva, R.J., Villanueva-Oller, J., Acedo, L., Santonja, F., Moraño, J.A., Abad, R., Vázquez, J.A., Díez-Domingo, J.: Optimizing strategies for meningococcal C disease vaccination in Valencia (Spain). BMC Infect. Dis. 14, 280 (2014)
Moore, P.S.: Meningococcal meningitis in sub-Saharan Africa: a model for the epidemic process. Clin. Infect. Dis. 14(2), 515–525 (1992). doi:10.1093/clinids/14.2.515
Valenzuela, M.T., Moreno, G., Vaquero, A., Seoane, M., Hormazábal, J.C., Bertoglia, M.P., Gallegos, D., Sotomayor, V., Díaz, J.: Emergence of W135 meningococcal serogroup in Chile during 2012. Rev. Med. Chil. 141(8), 959–967 (2013). http://dx.doi.org/10.4067/S0034-98872013000800001
Aguilera, J.F., Perrocheau, A., Meffre, C., Hahné, S., W135 Working Group: Outbreak of serogroup W135 meningococcal disease after the Hajj pilgrimage, Europe, 2000. Emerg. Infect. Dis. 8(8), 761–777 (2002)
Paso, C.L., Romeo, A., Pernice, I., Donato, P., Midiri, A., Mancuso, G., Arigò, M., Biondo, C., Galbo, R., Papasergi, S., Felici, F., Teti, G., Beninati, C.: Peptide mimics of the group B meningococcal capsule induce bactericidal and protective antibodies after immunization. J. Immunol. 178, 4417–4423 (2007). doi:10.4049/jimmunol.178.7.4417
Moreno-Pérez, D., García, F.J.Á., Fernández, J.A., Ortega, M.J.C., Raueti, J.M.C., Sánchez, N.G., Merino, A.H., Matos, T.H.-S., Moínao, M.M., del Castillo, L.O., Ruiz-Contreras, J.: Vaccination against meningococcal B disease. public statement of the advisory committee on vaccines of the spanish association of paediatrics (CAV-AEP). Anales de Pediatría 82(3), 198e.1–198.e9 (2015). doi:10.1016/j.anpede.2014.09.004
Montaño, N.M., Sánchez-Yañez, J.M.: Nitrification in tropical soils linked to microbial competition: a model based on Lotka-Volterra theory. Ecosistemas 23(3), 98–104 (2014). doi:10.7818/ECOS.2014.23-3.13
Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications. Academic Press, London (1998)
Lamelas, A., Harrisc, S.R., Röltgena, K., Dangya, J.P., Hauser, J., Kingsley, R.A., Connor, T.R., Sied, A., Hodgsone, A., Dougan, G., Parkhill, J., Bentley, S.D., Pluschke, G.: Emergence of a new epidemic Neisseria meningitidis serogroup A clone in the African meningitis belt: high-resolution picture of genomic changes that mediate immune evasion. mBio 5(5), e01974–e2014 (2014). doi:10.1128/mBio.01974-14
Cortés, J.C., Santonja, F.J., Tarazona, A.C., Villanueva, R.J., Villanueva-Oller, J.: A probabilistic estimation and prediction technique for dynamic continuous social science models: the evolution of the attitude of the basque country population towards ETA as a case study. Appl. Math. Comput. 264, 13–20 (2015). doi:10.1016/j.amc.2015.03.128
Yuste, S.B., Acedo, L., Lindenberg, K.: Reaction front in an A\(+\)B\(\rightarrow \)C reaction-subdiffusion process. Phys. Rev. E 69, 036126 (2004)
Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier 633 Science, The Netherlands (2006)
Atici, F.M., Eloe, P.W.: Initial value problems in discrete fractional calculus. Proc. Am. Math. Soc. 137(3), 981–989 (2009)
Acknowledgements
This work has been partially supported by the Ministerio de Economía y Competitividad grant MTM2013-41765-P and the FIS grant PI13/01459. We also acknowledge Dr. Julio Vázquez from the Carlos III Institute of Health for providing the meningococcal data used in this work.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Acedo, L., Burgos, C., Cortés, JC., Villanueva, R.J. (2017). Uncertainty Quantification for Meningococcus B Carriers Prediction. In: Rojas, I., Ortuño, F. (eds) Bioinformatics and Biomedical Engineering. IWBBIO 2017. Lecture Notes in Computer Science(), vol 10209. Springer, Cham. https://doi.org/10.1007/978-3-319-56154-7_50
Download citation
DOI: https://doi.org/10.1007/978-3-319-56154-7_50
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-56153-0
Online ISBN: 978-3-319-56154-7
eBook Packages: Computer ScienceComputer Science (R0)