Abstract
This article is intended to explore the behavior of complete genetic sequences of SARS-CoV 2 - P.1 variant, in comparison with the original sequence of SARS-CoV 2, accession number MN908947 (see López and Tasca (4open, 3:13, 2020) and Wu et al. (Nature 579:265–269, 2020)). The sequences are taken in FASTA format, they will be considered as samples of stochastic processes. Based on this interpretation, stochastic tools derived from Partition Markov Models Garc ı́a and González-López (Entropy 19(4):160, 2017) are applied, specifically from the G-model, introduced in Garc ı́a et al. (4open 3:13, 2020) , to obtain the representation of the behavior of each sequence. From these models, it is confirmed that the structure of the P.1 variant of the virus shows similar traits to the original one. Moreover, by means of a BIC-based metric and the G-model, it is possible to determine that the original sequence of SARS-CoV 2 (MN908947) and the set of sequences of SARS-CoV 2 - P.1 variant differ in certain transition probabilities, which allows identifying exactly the state that produces the discrepancy. We also represent this discrepancy graphically.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Cordeiro, M. T. A., Garc ı́a, J. E., González-López, V. A., & Mercado Londoño, S. L. (2020). Partition Markov model for multiple processes. Mathematical Methods in the Applied Sciences, 43(13), 7677–7691.
Hoffmann, M., Arora, P., Groß, R., Seidel, A., Hörnich, B., Hahn, A., Krüger, N., Graichen, L., Hofmann-Winkler, H., Kempf, A., Winkler, M. S., Schulz, S., Jäck, H.-M., Jahrsdörfer, B., Schrezenmeier, H., Müller, M., Kleger, A., Münch, J., & Pöhlmann, S. (2021). SARS-CoV-2 variants B.1.351 and P.1 escape from neutralizing antibodies. Cell, 184(9), 2384–2393.
Garc ı́a, J. E., Gholizadeh, R., & González-López, V. A. (2018). A BIC-based consistent metric between Markovian processes. Applied Stochastic Models in Business and Industry, 34(6), 868–878.
Garc ı́a, J. E., & González-López, V. A. (2011). Minimal markov models. In Fourth Workshop on Information Theoretic Methods in Science and Engineering (p. 25).
Garc ı́a, J. E., & González-López, V. A. (2017). Consistent estimation of partition Markov models. Entropy, 19(4), 160.
Garc ı́a, J. E., González López, V.A., & Tasca, G. H. (2020). Partition Markov model for Covid-19 virus. 4open, 3, 13.
Garc ı́a, J. E., González-Lṕez, V. A., & Tasca, G. H. (forthcoming). A stochastic inspection about genetic variants of Covid-19 circulating in Brazil during 2020. In Conference Proceedings of ICNAAM 2020. AIP Conference Proceedings.
Schwarz, G. (1978). Estimating the dimension of a model. The Annals of Statistics, 6(2), 461–464.
Wu, F., Zhao, S., Yu, B., Chen, Y.-M., Wang, W., Song, Z.-G., Hu, Y., Tao, Z.-W., Tian, J.-H., Pei, Y.-Y., Yuan, M.-L., Zhang, Y.-L., Dai, F.-H., Liu, Y., Wang, Q.-M., Zheng, J.-J., Xu, L., Holmes, E. C., & Zhang, Y.-Z. (2020). A new coronavirus associated with human respiratory disease in China. Nature, 579, 265–269.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
García, J.E., González-López, V.A., Tasca, G.H. (2022). Stochastic Comparison Between the Original SARS-CoV 2 Genetic Structure and SARS-CoV 2 - P.1 Variant. In: Skiadas, C.H., Skiadas, C. (eds) Quantitative Methods in Demography. The Springer Series on Demographic Methods and Population Analysis, vol 52. Springer, Cham. https://doi.org/10.1007/978-3-030-93005-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-93005-9_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-93004-2
Online ISBN: 978-3-030-93005-9
eBook Packages: Social SciencesSocial Sciences (R0)