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Analytical Solutions for the Mathematical Model Describing the Formation of Liver Zones via Adomian’s Method
Author
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-28
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The formation of liver zones is modeled by a system of two integropartial differential equations.
In this research, we introduce the mathematical formulation of these integro-partial differential equations obtained by Bass et al.
in 1987.
For better understanding of this mathematical formulation, we present a medical introduction for the liver in order to make the formulation as clear as possible.
In applied mathematics, the Adomian decomposition method is an effective procedure to obtain analytic and approximate solutions for different types of operator equations.
This Adomian decomposition method is used in this work to solve the proposed model analytically.
The stationary solutions (as time tends to infinity) are also obtained through it, which are in full agreement with those obtained by Bass et al.
in 1987.
American Psychological Association (APA)
Ebaid, Abdelhalim. 2013. Analytical Solutions for the Mathematical Model Describing the Formation of Liver Zones via Adomian’s Method. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-480499
Modern Language Association (MLA)
Ebaid, Abdelhalim. Analytical Solutions for the Mathematical Model Describing the Formation of Liver Zones via Adomian’s Method. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-480499
American Medical Association (AMA)
Ebaid, Abdelhalim. Analytical Solutions for the Mathematical Model Describing the Formation of Liver Zones via Adomian’s Method. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-480499
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480499