МОДЕЛЮВАННЯ ДИНАМІКИ ГЕПАТИТУ С ІЗ КОМБІНОВАНИМ ЛІКУВАННЯМ

Kirill Zelensky; V. Rahulin

doi:10.30888/2663-5712.2022-16-01-035

Authors

Kirill Zelensky National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»
V. Rahulin National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»

DOI:

https://doi.org/10.30888/2663-5712.2022-16-01-035

Keywords:

hepatitis C, infectious diseases, immune system, iterative schemes, nonlinear differential equations

Abstract

The problem of mathematical modeling of the immune response to hepatitis C viral infection is considered. The mathematical model of the process is described by a system of nonlinear differential equations. The solution of this system of equations is carri

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References

Pachpute G., Chakrabarty S. Dynamics of hepatitis C under optimal therapy and sampling based analysis. Commun Nonlinear Sci Numer Simulat, 18, 2013, pp. 2202–2212.

Martin N., Pitcher A., Vickerman P. Optimal Control of Hepatitis C Antiviral Treatment. Programme Delivery for Prevention amongst a Population of Injecting Drug Users. PLoS One, 2011, V.6, No 8, e23309, 17 p.

Knodel M., Targett-Adams P., Grillo A. Advanced Hepatitis C Virus Replication PDE Models within a Realistic Intracellular Geometric Environment. International Journal of Environmental Research and Public Health, 2019, 16, 53 p.

Knodel M., Reiter S., Targett-Adams P. 3D Spatially Resolved Models of the Intracellular Dynamics of the Hepatitis C Genome Replication Cycle. Viruses, 2017, 9, 282.

Knodel M., Nagel A., Reiter S., Rupp M. Quantitative analysis of Hepatitis C NS5A viral protein dynamics on the ER surface. Viruses, 2018, 10, 28.

Kohli A., Shaffer, A., Sherman, A. Treatment of hepatitis C: A systematic review. JAMA, 2014, 312, p. 631–640.

Dahari H., Ribeiro R., Rice C., Perelson A. Mathematical Modeling of Subgenomic Hepatitis C Virus Replication in Huh-7 Cells. J. Virol., 2007, 81, p. 750–760.

Dahari H., Guedj J., Perelson A. Hepatitis C Viral Kinetics in the Era of Direct Acting Antiviral Agents and IL28B. Curr. Hepat. Rep., 2011, 10, p. 214–227.

Rong L., Guedj J., Dahari H. Analysis of hepatitis C virus decline during treatment with the protease inhibitor danoprevir using a multiscale model. PLoS Comput. Biol., 2013, 9, e1002959.

Chukkapalli V., Berger, K., Kelly S. Daclatasvir inhibits hepatitis C virus NS5A motility and hyper-accumulation of phosphoinositides. Virology, 2015, 476, p. 168–179.

Lindenbach, B., Rice C. The ins and outs of hepatitis C virus entry and assembly. Nat. Rev. Microbiol., 2013, 11, p. 688–700.

Asselah T., Boyer N., Saadoun D. Direct-acting antivirals for the treatment of hepatitis C virus infection: optimizing current IFN-free treatment and future perspectives. Liver Int. 36, 2016, pp. 47–57.

Braciale T., Hahn Y., Burton D. (2013). Adaptive immune response to viral infections, in Fields Virology, eds B. N. Fields, D. M. Knipe, and P. M. Howley (Philadelphia, PA: Wolters Kluwer Health; Lippincott Williams, Wilkins), 214–285.

Zelenskaya N., Zelensky K.. Approximation of Bessel functions by rational functions. Electronics and control systems, N 2 (44). p. 123--129. 2015.

Zelensky K. Iterative method for solving nonlinear boundary value problems. Scientific Notes of Lutsk National University, vol. 26, t, 2, P. 49—55, 2010.

Zelensky K. Mathemanical modeling of polimer media in extruders. Thesis of Doctor of technical sciences, 2021, Kyiv, 45 p.