Problema de control para el modelo básico de la hepatitis C con tratamiento

Autores/as

  • Alejandro Peregrino Pérez Universidad Juárez Autónoma de Tabasco
  • Lourdes Esteva Peralta Facultad de Ciencias. UNAM
  • Gamaliel Blé González Universidad Juárez Autónoma de Tabasco

DOI:

https://doi.org/10.19136/jobs.a10n27.6335

Palabras clave:

Hepatitis C, Control óptimo, Interferón.

Resumen

En este trabajo planteamos y resolvemos numéricamente el problema de control óptimo para el tratamiento con interferón en un enfermo endémico de hepatitis C que responde a la terapia.

Referencias

Alavez J, Fuentes J.L, y López J. (2011). Noninvasive Monitoring of Hepatic Damage from Hepatitis C virus Infection Computational and Mathematical Methods in Medicine, 1-13.

Avendaño R, Esteva L, Flores J.A, Fuentes Allen J.L, Gómez J, López Estrada JE. (2002). A Mathematical Model for the Dynamics of Hepatitis C . Journal of Theore- tical Medicine 4, 109-118.

Banerjee S, Keval R, Gakkhar S. (2013). Modeling the dynamics of Hepatits C virus with combined antiviral drug theraphy: Interferon and Rivavirin. Mathematical Biosciences 245, 235-248.

S.P. Chakrabarty. (2009). Optimal Efficacy of Ribavirin in the Treatment of Hepatitis C, Optimal Control Applications and Methods, 30, 594-600.

Crotty S, Cameron C.E, Andino R. (2001). RNA virus error catastrophe: Direct molecular test by using ribavirin. Proc. Natl. Acad. Sci. USA 98, 6895-6900.

S.P. Chakrabarty, H.R. Joshi. (2009). Optimally Controlled Treatment Strategy Using Interferon and Ribavirin for Hepatitis C, J. of Biological Systems, 17, 97- 110.

Dixit N.M, Layden-Almer J.E, Layden T.J, Perelson A.S. (2004). Modelling how ribavirin improves interferon response rates in hepatitis C virus infection. Nature 432, 922-924.

Dahari H, Lo A, Ribeiro R.M, Perelson A.S. (2007). Modeling hepatitis C virus dyna- mics: liver regeneration and critical drug efficacy. Journal of Theoretical Biology 247, 371-381.

Dahari H, Ribeiro R.M, Perelson A.S. (2007) Triphasic decline of hepatitis C virus RNA during antiviral therapy. Hepatology 46, 16-21.

Emilio J. (2008). Hepatitis C virus disease, Immunobiology and Clinical applications. Springer.

Fleming W, Rishel R. (1975). deterministic and Stochastic Optimal Controls. Springer- Verlag.

Keval R, Banerjee S, Gakkhar S. (2012) Dynamics of Hepatitis C virus (HCV) infection with Gompertzian proliferation. Procedia Engineering 38, 2453-2462

Lukes L.D. (1982). it Differential Equations: Classical to Controlled, Math. Sci. Eng., Vol. 162., Academic Press, New York,.

N.K. Martin, B. Ashley, A.B. Pitcher, P. Vickerman, A. (2011). Vassal, and M. Hickman, Optimal Control of Hepatitis C Antiviral Treatment Programme Delivery for Prevention amongst a Population of Injecting Drug Users, PLoS ONE, 6 , e22309.

Ntaganda, J.M. Haggar, M.S.D. and Mampassi, B. (2015). Logic Strategy for Solving an Optimal Control Problem of Therapeutic Hepatitis C Virus Dynamics, O. J. of Applied Sciences, 5, 527-541.

Neumann A.U, Lam N.P, Dahari H, Gretch D.R, Wiley T.E. (1998). Hepatitis C viral dynamics in vivo and the antiviral efficacy of interferon-alpha therapy, Science 282, 103-107.

Pontryagin L.S, Boltyanskii V. G, Gamkrelidze R. V, and Mishchenko E.F. (1962). The mathematical theory of optimal process, Traslated from de Russian by K. N. Trirogoff, edited by L.W. Neustadt. Interscience Publisher John Wiley and Sons, inc. New York-London.

Roson ,H.R.. (2011). Clinical practice cronic hepatitis C infection, The New England Journal of Medicine, 364 (25), 2429-2438.

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Publicado

2024-04-30

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Artículo científico

Cómo citar

Peregrino Pérez, A., Esteva Peralta, L., & Blé González, G. (2024). Problema de control para el modelo básico de la hepatitis C con tratamiento. Journal of Basic Sciences, 10(27), 87-105. https://doi.org/10.19136/jobs.a10n27.6335