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Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition
A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Hindawi Publishing Corporation
2012
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3265157/ https://www.ncbi.nlm.nih.gov/pubmed/22291853 http://dx.doi.org/10.1155/2012/610124 |
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author | Cattani, Carlo Ciancio, Armando |
author_facet | Cattani, Carlo Ciancio, Armando |
author_sort | Cattani, Carlo |
collection | PubMed |
description | A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations. |
format | Online Article Text |
id | pubmed-3265157 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2012 |
publisher | Hindawi Publishing Corporation |
record_format | MEDLINE/PubMed |
spelling | pubmed-32651572012-01-30 Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition Cattani, Carlo Ciancio, Armando Comput Math Methods Med Research Article A hybrid model, on the competition tumor cells immune system, is studied under suitable hypotheses. The explicit form for the equations is obtained in the case where the density function of transition is expressed as the product of separable functions. A concrete application is given starting from a modified Lotka-Volterra system of equations. Hindawi Publishing Corporation 2012 2012-01-12 /pmc/articles/PMC3265157/ /pubmed/22291853 http://dx.doi.org/10.1155/2012/610124 Text en Copyright © 2012 C. Cattani and A. Ciancio. 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 Cattani, Carlo Ciancio, Armando Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title | Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title_full | Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title_fullStr | Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title_full_unstemmed | Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title_short | Separable Transition Density in the Hybrid Model for Tumor-Immune System Competition |
title_sort | separable transition density in the hybrid model for tumor-immune system competition |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3265157/ https://www.ncbi.nlm.nih.gov/pubmed/22291853 http://dx.doi.org/10.1155/2012/610124 |
work_keys_str_mv | AT cattanicarlo separabletransitiondensityinthehybridmodelfortumorimmunesystemcompetition AT ciancioarmando separabletransitiondensityinthehybridmodelfortumorimmunesystemcompetition |