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HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism

Received: 14 February 2014     Published: 28 February 2014
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Abstract

In this paper, homotopy perturbation method (HPM) is employed to provide an approximate, but detailed, solution for the nonlinear differential equation that describes the calcium stimulated calcium release mechanism. Comparison to the exact solutions shows that the method is extremely efficient, if initial guess is suitably chosen.

Published in American Journal of Applied Mathematics (Volume 2, Issue 1)
DOI 10.11648/j.ajam.20140201.15
Page(s) 29-35
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2014. Published by Science Publishing Group

Keywords

Cellular Signaling, CICR Calcium Mechanism, Homotopy Perturbation Method

References
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Cite This Article
  • APA Style

    H. Vazquez-Leal, L. Hernandez-Martinez, Y. Khan, V.M. Jimenez-Fernandez, U. Filbello-Nino, et al. (2014). HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism. American Journal of Applied Mathematics, 2(1), 29-35. https://doi.org/10.11648/j.ajam.20140201.15

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    ACS Style

    H. Vazquez-Leal; L. Hernandez-Martinez; Y. Khan; V.M. Jimenez-Fernandez; U. Filbello-Nino, et al. HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism. Am. J. Appl. Math. 2014, 2(1), 29-35. doi: 10.11648/j.ajam.20140201.15

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    AMA Style

    H. Vazquez-Leal, L. Hernandez-Martinez, Y. Khan, V.M. Jimenez-Fernandez, U. Filbello-Nino, et al. HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism. Am J Appl Math. 2014;2(1):29-35. doi: 10.11648/j.ajam.20140201.15

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  • @article{10.11648/j.ajam.20140201.15,
      author = {H. Vazquez-Leal and L. Hernandez-Martinez and Y. Khan and V.M. Jimenez-Fernandez and U. Filbello-Nino and A. Diaz-Sanchez and A.L. Herrera-May and R. Castaneda-Sheissa and A. Marin-Hernandez and F. Rabago-Bernal and J. Huerta-Chua and S.F. Hernandez-Machuca},
      title = {HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism},
      journal = {American Journal of Applied Mathematics},
      volume = {2},
      number = {1},
      pages = {29-35},
      doi = {10.11648/j.ajam.20140201.15},
      url = {https://doi.org/10.11648/j.ajam.20140201.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140201.15},
      abstract = {In this paper, homotopy perturbation method (HPM) is employed to provide an approximate, but detailed, solution for the nonlinear differential equation that describes the calcium stimulated calcium release mechanism. Comparison to the exact solutions shows that the method is extremely efficient, if initial guess is suitably chosen.},
     year = {2014}
    }
    

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    T1  - HPM Method Applied to Solve the Model of Calcium Stimulated, Calcium Release Mechanism
    AU  - H. Vazquez-Leal
    AU  - L. Hernandez-Martinez
    AU  - Y. Khan
    AU  - V.M. Jimenez-Fernandez
    AU  - U. Filbello-Nino
    AU  - A. Diaz-Sanchez
    AU  - A.L. Herrera-May
    AU  - R. Castaneda-Sheissa
    AU  - A. Marin-Hernandez
    AU  - F. Rabago-Bernal
    AU  - J. Huerta-Chua
    AU  - S.F. Hernandez-Machuca
    Y1  - 2014/02/28
    PY  - 2014
    N1  - https://doi.org/10.11648/j.ajam.20140201.15
    DO  - 10.11648/j.ajam.20140201.15
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
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    EP  - 35
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20140201.15
    AB  - In this paper, homotopy perturbation method (HPM) is employed to provide an approximate, but detailed, solution for the nonlinear differential equation that describes the calcium stimulated calcium release mechanism. Comparison to the exact solutions shows that the method is extremely efficient, if initial guess is suitably chosen.
    VL  - 2
    IS  - 1
    ER  - 

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Author Information
  • Electronic Instrumentation, Universidad Veracruzana, Xalapa, Veracruz, Mexico

  • National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico

  • Department of Mathematics, Zhejiang University, Hangzhou, China

  • Electronic Instrumentation, Universidad Veracruzana, Xalapa, Veracruz, Mexico

  • Electronic Instrumentation, Universidad Veracruzana, Xalapa, Veracruz, Mexico

  • National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico

  • Micro and NanotechnologyResearch Center, Universidad Veracruzana, Boca del Rio, Veracruz, Mexico

  • Electronic Instrumentation, Universidad Veracruzana, Xalapa, Veracruz, Mexico

  • Department of Artificial Intelligence, Universidad Veracruzana, Xalapa, Veracruz, Mexico

  • Institute of Physics, AutonomousUniversity of San Luis Potosi, San Luis Potosi, SLP, Mexico

  • Civil EngineeringSchool, Universidad Veracruzana, Poza Rica, Veracruz, Mexico

  • Electronic Instrumentation, Universidad Veracruzana, Xalapa, Veracruz, Mexico

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