Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell
Joint Authors
Sarmiento-Reyes, Arturo
Herrera-May, Agustín
Sandoval-Hernandez, M. A.
Castro-Gonzalez, F.
Callejas-Molina, R. A.
Ruiz-Gomez, R.
Filobello-Niño, Uriel
Vazquez-Leal, Hector
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This work presents the application of homotopy perturbation method (HPM) and Optimized Direct Padé (ODP) to obtain a handy and easily computable approximate solution of the nonlinear differential equation to model the oxygen diffusion in a spherical cell with nonlinear oxygen uptake kinetics.
On one hand, the obtained HPM solution is fully symbolic in terms of the coefficients of the equation, allowing us to use the same solution for different values of the maximum reaction rate, the Michaelis constant, and the permeability of the cell membrane.
On the other hand, the numerical experiments show the high accuracy of the proposed ODP solution, resulting in 3.58×10-4 as the lowest absolute relative error (A.R.E.) for a set of coefficients.
In addition, a novel technique is proposed to reduce the number of algebraic operations during the process of application of ODP method through the use of the Taylor series, which help to simplify the algebraic expressions used.
The powerful process to obtain the solution shows that the Optimized Direct Padé and homotopy perturbation method are suitable methods to use.
American Psychological Association (APA)
Sandoval-Hernandez, M. A.& Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo& Filobello-Niño, Uriel& Castro-Gonzalez, F.& Herrera-May, Agustín…[et al.]. 2018. Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152901
Modern Language Association (MLA)
Sandoval-Hernandez, M. A.…[et al.]. Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1152901
American Medical Association (AMA)
Sandoval-Hernandez, M. A.& Vazquez-Leal, Hector& Sarmiento-Reyes, Arturo& Filobello-Niño, Uriel& Castro-Gonzalez, F.& Herrera-May, Agustín…[et al.]. Optimized Direct Padé and HPM for Solving Equation of Oxygen Diffusion in a Spherical Cell. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1152901
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152901