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Blood coagulation dynamics: mathematical modeling and stability results

2011-04Artigo científico Acesso aberto
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dc.contributor.authorSequeira, Adelia
dc.contributor.authorSantos, Rafael F.
dc.contributor.authorBodnar, Tomas
dc.date.accessioned2018-12-07T14:52:31Z
dc.date.available2018-12-07T14:52:31Z
dc.date.issued2011-04
dc.description.abstractThe hemostatic system is a highly complex multicomponent biosystem that under normal physiologic conditions maintains the fluidity of blood. Coagulation is initiated in response to endothelial surface vascular injury or certain biochemical stimuli, by the exposure of plasma to Tissue Factor (TF), that activates platelets and the coagulation cascade, inducing clot formation, growth and lysis. In recent years considerable advances have contributed to understand this highly complex process and some mathematical and numerical models have been developed. However, mathematical models that are both rigorous and comprehensive in terms of meaningful experimental data, are not available yet. In this paper a mathematical model of coagulation and fibrinolysis in flowing blood that integrates biochemical, physiologic and rheological factors, is revisited. Three-dimensional numerical simulations are performed in an idealized stenosed blood vessel where clot formation and growth are initialized through appropriate boundary conditions on a prescribed region of the vessel wall. Stability results are obtained for a simplified version of the clot model in quiescent plasma, involving some of the most relevant enzymatic reactions that follow Michaelis-Menten kinetics, and having a continuum of equilibria.
dc.description.sponsorshipCEMAT/IST through FCT [PTDC/MAT/68166/2006]; Czech Science Foundation [201/09/0917]; Grant Agency of the Academy of Sciences of the CR [IAA100190804]; Ministry of Education of Czech Republic [6840770010]
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.3934/mbe.2011.8.425
dc.identifier.issn1547-1063
dc.identifier.urihttp://hdl.handle.net/10400.1/11106
dc.language.isoeng
dc.peerreviewedyes
dc.publisherAmerican Institute of Mathematical Sciences
dc.subjectPerturbation
dc.subjectSimulation
dc.subjectContinuum
dc.subjectSystems
dc.titleBlood coagulation dynamics: mathematical modeling and stability results
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT%2F68166%2F2006/PT
oaire.citation.endPage443
oaire.citation.issue2
oaire.citation.startPage425
oaire.citation.titleMathematical Biosciences and Engineering
oaire.citation.volume8
oaire.fundingStream3599-PPCDT
person.familyNameSequeira
person.familyNameBodnar
person.givenNameAdélia
person.givenNameTomas
person.identifier.ciencia-id0D18-453D-5616
person.identifier.orcid0000-0002-4216-6960
person.identifier.orcid0000-0003-2991-8467
person.identifier.ridY-1903-2018
person.identifier.ridF-7429-2011
person.identifier.scopus-author-id7006133887
person.identifier.scopus-author-id15129556700
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsrestrictedAccess
rcaap.typearticle
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relation.isAuthorOfPublication60a053f1-2166-4f89-9018-4d1e8de289e4
relation.isAuthorOfPublication.latestForDiscovery2147a0e2-f110-489f-bb59-a6d99c69258a
relation.isProjectOfPublication30a23d29-06e0-438b-89eb-e8192d92ab92
relation.isProjectOfPublication.latestForDiscovery30a23d29-06e0-438b-89eb-e8192d92ab92

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