Mathematical model of evasion of immune system by virus
*Miller Cerón GómezCorresponding authormillercg@udenar.edu.coDepartment of Mathematics and Statistics University of NarioPasto, Narino, ColombiaView full profile → , Eduardo Ibarguen MondragonDepartment of Mathematics and Statistics University of NarioPasto, Narino, ColombiaView full profile → , Paulo Cesar Carmona TabaresFaculty of Basic Sciences and Technologies University of QuindíoArmenia, Quindío, ColombiaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Aug 2021
- Accepted:
- 01 Feb 2022
- Published Online:
- 19 Aug 2023
- Article type:
- Review Article
- Language:
- EN
- Article no.:
- JIM-1508
- Pages:
- 733–745
Abstract
Keywords
Subject Classifications
References
[1] B Alberts et al. Molecular Biology of the Cell. Garland Science, New York, 4 Edition, 2002.
[2] Yun-Chi Chen and Sheng-Yuan Wang. Activation of terminally differentiated human monocytes/macrophages by dengue virus: productive infection, hierarchical production of innate cytokines and chemokines and the synergistic effect of lipopolysaccharide. Journal of Virology, 76(19) : 9877-9887, 2002.
[3] Michael S Diamond. Evasion of innate and adaptive immunity by flaviviruses. Immunology and Cell Biology, 81(3) : 196-206, 2003.
[4] H. I. Freedman and G. S. K. Wolkowicz. Predator-prey systems with group defence: The paradox of enrichment revisited. Bulletin of Mathematical Biology, 48(5) : 493-508, 1986.
[5] Miller Cerón Gómez and Hyun Mo Yang. Global dynamics of humoral and cellular immune responses to virus infection. Universitas Scientiarum, 24(2) : 407-423, 2019.
[6] Miller Cerón Gómez and Hyun Mo Yang. A simple mathematical model to describe antibody-dependent enhancement in heterologous secondary infection in dengue. Mathematical Medicine and Biology: a Journal of the IMA, 36(4) : 411-438, 2019.
[7] Miller Cerón Gómez and Hyun Mo Yang. Mathematical model of the immune response to dengue virus. Journal of Applied Mathematics and Computing, 63(1) : 455-478, 2020.
[8] Benjamin G Hale, Randy A Albrecht and Adolfo García-Sastre. Innate immune evasion strategies of influenza viruses. Future Microbiology, 5(1) : 23-41, 2010.
[9] Marjolein Kikkert. Innate immune evasion by human respiratory rna viruses. Journal of Innate Immunity, 12(1) : 4-20, 2020.
[10] Juliet Morrison, Sebastian Aguirre and Ana Fernandez-Sesma. Innate immunity evasion by dengue virus. Viruses, 4(3) : 397-413, 2012.
[11] Tessa Nelemans and Marjolein Kikkert. Viral innate immune evasion and the pathogenesis of emerging rna virus infections. Viruses,
11(10) : 961, 2019.
[12] Sarah Pagni and Ana Fernandez-Sesma. Evasion of the human innate immune system by dengue virus. Immunologic Research, 54(1-3) : 152-159, 2012.
[13] Sourav Kumar Sasmal and Yasuhiro Takeuchi. Dynamics of a predator-prey system with fear and group defense. Journal of Mathematical Analysis and Applications, 481(1) : 123471, 2020.
[14] Vijander Singh, Ramesh Chandra Poonia, Sandeep Kumar, Pranav Dass, Pankaj Agarwal, Vaibhav Bhatnagar and Linesh Raja. Prediction of covid-19 corona virus pandemic based on time series data using support vector machine. Journal of Discrete Mathematical Sciences and Cryptography, 23(8) : 1583-1597, 2020.
[15] W. Sokol and J. A. Howell. Kinetics of phenol oxidation by washed cells. Biotechnology and Bioengineering, 23(9) : 2039-2049, 1981.
[16] Dongmei Xiao and Shigui Ruan. Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response. SIAM Journal on Applied Mathematics, 61(4) : 1445-1472, 2001.
[17] Li-Yuan Zhang. Hopf bifurcation analysis in a monod haldane predator-prey model with delays and diffusion. Applied Mathematical Modelling, 39(3-4) : 1369-1382, 2015.




