Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction

We put into exercise a comparatively innovative analytical modus operandi, the homotopy decomposition method (HDM), for solving a system of nonlinear partial differential equations arising in an attractor one-dimensional Keller-Segel dynamics system. Numerical solutions are given and some properties...

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Detalles Bibliográficos
Autores principales: Atangana, Abdon, Vermeulen, P. D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121043/
https://www.ncbi.nlm.nih.gov/pubmed/25114922
http://dx.doi.org/10.1155/2014/815690
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author Atangana, Abdon
Vermeulen, P. D.
author_facet Atangana, Abdon
Vermeulen, P. D.
author_sort Atangana, Abdon
collection PubMed
description We put into exercise a comparatively innovative analytical modus operandi, the homotopy decomposition method (HDM), for solving a system of nonlinear partial differential equations arising in an attractor one-dimensional Keller-Segel dynamics system. Numerical solutions are given and some properties show evidence of biologically practical reliance on the parameter values. The reliability of HDM and the reduction in computations give HDM a wider applicability.
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spelling pubmed-41210432014-08-11 Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction Atangana, Abdon Vermeulen, P. D. Biomed Res Int Research Article We put into exercise a comparatively innovative analytical modus operandi, the homotopy decomposition method (HDM), for solving a system of nonlinear partial differential equations arising in an attractor one-dimensional Keller-Segel dynamics system. Numerical solutions are given and some properties show evidence of biologically practical reliance on the parameter values. The reliability of HDM and the reduction in computations give HDM a wider applicability. Hindawi Publishing Corporation 2014 2014-07-08 /pmc/articles/PMC4121043/ /pubmed/25114922 http://dx.doi.org/10.1155/2014/815690 Text en Copyright © 2014 A. Atangana and P. D. Vermeulen. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Atangana, Abdon
Vermeulen, P. D.
Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title_full Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title_fullStr Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title_full_unstemmed Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title_short Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction
title_sort modelling the aggregation process of cellular slime mold by the chemical attraction
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4121043/
https://www.ncbi.nlm.nih.gov/pubmed/25114922
http://dx.doi.org/10.1155/2014/815690
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