Existence of pulses for a reaction-diffusion system of blood coagulation in flow.

Blood Coagulation / physiology Blood Coagulation Factors / physiology Blood Flow Velocity / physiology Hemostasis / physiology Humans Mathematical Concepts Models, Biological Platelet Aggregation / physiology
Leray-Schauder method blood coagulation in flow existence of pulses reaction-diffusion system

Journal

Mathematical biosciences and engineering : MBE
ISSN: 1551-0018
Titre abrégé: Math Biosci Eng
Pays: United States
ID NLM: 101197794

Informations de publication

Date de publication:
13 05 2019
Historique:
entrez: 11 9 2019
pubmed: 11 9 2019
medline: 25 7 2020
Statut: ppublish

Résumé

A reaction-diffusion system describing blood coagulation in flow is studied. We prove the existence of stationary solutions provided that the speed of the travelling wave problem for the limiting value of the velocity is positive. The implications to the problem of clot growth are discussed.

Identifiants

DOI: 10.3934/mbe.2019209 PMID: 31499658
pubmed: 31499658
doi: 10.3934/mbe.2019209
doi:

Substances chimiques

Blood Coagulation Factors 0

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

4196-4212

Auteurs

Nicolas Ratto (N)

Institut Camille Jordan, UMR 5585 CNRS, Ecole Centrale de Lyon, 69134 Ecully, France.

Martine Marion (M)

Institut Camille Jordan, UMR 5585 CNRS, Ecole Centrale de Lyon, 69134 Ecully, France.

Vitaly Volpert (V)

Institut Camille Jordan, UMR 5585 CNRS, University Lyon 1, 69622 Villeurbanne, France.
INRIA, Université de Lyon, Université Lyon 1, Institut Camille Jordan, 43 Bd. du 11 Novembre 1918, 69200 Villeurbanne Cedex, France.
Peoples' Friendship University of Russia (RUDN University) 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation.
Marchuk Institute of Numerical Mathematics of the RAS, ul. Gubkina 8, 119333 Moscow, Russian Federation.

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Classifications MeSH

questionsmedicales.fr › Phénomènes physiologiques respiratoires et circulatoires › Phénomènes physiogiques du sang › Hémostase › Coagulation sanguine › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Facteurs biologiques › Facteurs de la coagulation sanguine › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Phénomènes physiologiques respiratoires et circulatoires › Phénomènes physiologiques cardiovasculaires › Hémodynamique › Hémorhéologie › Vitesse du flux sanguin › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Phénomènes physiologiques respiratoires et circulatoires › Phénomènes physiogiques du sang › Hémostase › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Eucaryotes › Animaux › Chordés › Vertébrés › Mammifères › Eutheria › Primates › Haplorhini › Catarrhini › Hominidae › Humains › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Concepts mathématiques › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Techniques d'investigation › Modèles théoriques › Modèles biologiques › Existence of pulses for a reaction-diffusion...
questionsmedicales.fr › Phénomènes physiologiques respiratoires et circulatoires › Phénomènes physiogiques du sang › Hémostase › Activation plaquettaire › Agrégation plaquettaire › Existence of pulses for a reaction-diffusion...