title: A new mathematical approach to modelling thrombin generation.
abstract: The plasma coagulation system is a biochemical chain reaction where inactive proenzymes are converted to active enzymes in a cascade pattern. One of the problems encountered in the modelling of thrombin generation in plasma is that neither the reaction mechanism nor the reaction constants and initial concentrations are precisely known. Therefore, these quantities are taken as unknown parameters in the theoretical model and are estimated by fitting experimental data. In the literature there are two different mathematical models for approaching a part of the blood coagulation mechanism. Both models comprise a stiff system of non-linear differential equations. We aimed to analyze both systems after linearization, to steer or influence the system and to calculate the period of time for it to attain a final equilibrium as a basis for model extension.
authors.affiliation: Department of Mathematics 2, RWTH, Aachen University Hospital, Aachen, Germany. orfao@math2.rwth-aachen.de
authors.forename: S M C
authors.initials: SM
authors.lastname: Orfao
authors.forename: G
authors.initials: G
authors.lastname: Jank
authors.forename: K
authors.initials: K
authors.lastname: Mottaghy
mesh_terms: D001777:Blood Coagulation / Q000502:physiology*; D006801:Humans; D016014:Linear Models; D013917:Thrombin / Q000096:biosynthesis*
chemical_list: D013917:Thrombin