Algebraic analysis of social networks for bio-surveillance: the cases of SARS-Beijing-2003 and AH1N1 influenza-México-2009.
Identifieur interne : 002315 ( Ncbi/Merge ); précédent : 002314; suivant : 002316Algebraic analysis of social networks for bio-surveillance: the cases of SARS-Beijing-2003 and AH1N1 influenza-México-2009.
Auteurs : Doracelly Hincapié [Colombie] ; Juan OspinaSource :
- Advances in experimental medicine and biology [ 0065-2598 ] ; 2011.
Descripteurs français
- KwdFr :
- Biologie informatique, Chine (épidémiologie), Concepts mathématiques, Grippe humaine (épidémiologie), Humains, Mexique (épidémiologie), Méthodes épidémiologiques, Sous-type H1N1 du virus de la grippe A, Soutien social, Surveillance de la population (), Syndrome respiratoire aigu sévère (épidémiologie).
- MESH :
- Wicri :
- geographic : République populaire de Chine, Mexique.
English descriptors
- KwdEn :
- MESH :
- geographic , epidemiology : China, Mexico.
- epidemiology : Influenza, Human, Severe Acute Respiratory Syndrome.
- methods : Population Surveillance.
- Computational Biology, Epidemiologic Methods, Humans, Influenza A Virus, H1N1 Subtype, Mathematical Concepts, Social Support.
Abstract
Algebraic analysis of social networks exhibited by SARS-Beijing-2003 and AH1N1 flu-México-2009 was realized. The main tools were the Tutte polynomials and Maple package Graph-Theory. The topological structures like graphs and networks were represented by invariant polynomials. The evolution of a given social network was represented like an evolution of the algebraic complexity of the corresponding Tutte polynomial. The reduction of a given social network was described like an involution of the algebraic complexity of the associated Tutte polynomial. The outbreaks of SARS and AH1N1 Flu were considered like represented by a reduction of previously existing contact networks via the control measures executed by health authorities. From Tutte polynomials were derived numerical indicators about efficiency of control measures.
DOI: 10.1007/978-1-4419-7046-6_77
PubMed: 21431617
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pubmed:21431617Le document en format XML
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<front><div type="abstract" xml:lang="en">Algebraic analysis of social networks exhibited by SARS-Beijing-2003 and AH1N1 flu-México-2009 was realized. The main tools were the Tutte polynomials and Maple package Graph-Theory. The topological structures like graphs and networks were represented by invariant polynomials. The evolution of a given social network was represented like an evolution of the algebraic complexity of the corresponding Tutte polynomial. The reduction of a given social network was described like an involution of the algebraic complexity of the associated Tutte polynomial. The outbreaks of SARS and AH1N1 Flu were considered like represented by a reduction of previously existing contact networks via the control measures executed by health authorities. From Tutte polynomials were derived numerical indicators about efficiency of control measures.</div>
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