Modelling of the Blood Coagulation Cascade in an In Vitro Flow System.
Publication: Research - peer-review › Journal 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-review › Journal article – Annual report year: 2010
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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 -