Modelling of the Blood Coagulation Cascade in an In Vitro Flow System.

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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Modelling of the Blood Coagulation Cascade in an In Vitro Flow System.. / Andersen, Nina Marianne; Sørensen, Mads Peter; Efendiev, Messoud A.; Olsen, Ole Hvilsted; Ingwersen, Steen H.

In: International Journal of Biomathematics and Biostatistics, Vol. 1, No. 1, 2010, p. 1-7.

Publication: Research - peer-reviewJournal article – Annual report year: 2010

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Andersen, Nina Marianne; Sørensen, Mads Peter; Efendiev, Messoud A.; Olsen, Ole Hvilsted; Ingwersen, Steen H. / Modelling of the Blood Coagulation Cascade in an In Vitro Flow System..

In: International Journal of Biomathematics and Biostatistics, Vol. 1, No. 1, 2010, p. 1-7.

Publication: Research - peer-reviewJournal article – Annual report year: 2010

Bibtex

@article{7d722b449363406ca36651fd1426ff7c,
title = "Modelling of the Blood Coagulation Cascade in an In Vitro Flow System.",
author = "Andersen, {Nina Marianne} and Sørensen, {Mads Peter} and Efendiev, {Messoud A.} and Olsen, {Ole Hvilsted} and Ingwersen, {Steen H.}",
year = "2010",
volume = "1",
number = "1",
pages = "1--7",
journal = "International Journal of Biomathematics and Biostatistics",
issn = "0973-7340",

}

RIS

TY - JOUR

T1 - Modelling of the Blood Coagulation Cascade in an In Vitro Flow System.

A1 - Andersen,Nina Marianne

A1 - Sørensen,Mads Peter

A1 - Efendiev,Messoud A.

A1 - Olsen,Ole Hvilsted

A1 - Ingwersen,Steen H.

AU - Andersen,Nina Marianne

AU - Sørensen,Mads Peter

AU - Efendiev,Messoud A.

AU - Olsen,Ole Hvilsted

AU - Ingwersen,Steen H.

PY - 2010

Y1 - 2010

N2 - We derive a mathematical model of a part of the blood coagulation cascade set up in a perfusion experiment. Our purpose is to simulate the influence of blood flow and diffusion on the blood coagulation pathway. The resulting model consists of a system of partial differential equations taking into account the spatial distribution of the biochemical species. An important issue is inclusion of a dynamic boundary condition describing adhesion of activated platelets on a collagen coated top lid in the perfusion chamber. The validity of the model is established through criteria on the reaction diffusion and flow equations, which guarantee non negative concentrations at all times. The criteria is applied to the model of the blood coagulation cascade.

AB - We derive a mathematical model of a part of the blood coagulation cascade set up in a perfusion experiment. Our purpose is to simulate the influence of blood flow and diffusion on the blood coagulation pathway. The resulting model consists of a system of partial differential equations taking into account the spatial distribution of the biochemical species. An important issue is inclusion of a dynamic boundary condition describing adhesion of activated platelets on a collagen coated top lid in the perfusion chamber. The validity of the model is established through criteria on the reaction diffusion and flow equations, which guarantee non negative concentrations at all times. The criteria is applied to the model of the blood coagulation cascade.

KW - Reaction diffusion equations

KW - Haemostasis

KW - blood coagulation cascade

UR - http://www.serialspublications.com/contentnormal.asp?jid=577&jtype=1

JO - International Journal of Biomathematics and Biostatistics

JF - International Journal of Biomathematics and Biostatistics

SN - 0973-7340

IS - 1

VL - 1

SP - 1

EP - 7

ER -