title: Numerical validation of a synthetic cell-based model of blood coagulation.
abstract: In Fasano et al. (2012) a new reduced mathematical model for blood coagulation was proposed, incorporating biochemical and mechanical actions of blood flow and including platelets activity. The model was characterized by a considerable simplification of the differential system associated to the biochemical network and it incorporated the role of blood slip at the vessel wall as an extra source of activated platelets. The purpose of this work is to check the validity of the reduced mathematical model, using as a benchmark the model presented in Anand et al. (2008), and to investigate the importance of the blood slip velocity in the blood coagulation process.
authors.affiliation: CEMAT, IST, Universidade de Lisboa, Portugal. Electronic address: jevgenija.pavlova@gmail.com.
authors.forename: J
authors.initials: J
authors.lastname: Pavlova
authors.affiliation: Dipartimento di Matematica, "U. Dini", Università degli studi di Firenze, Italy; FIAB SpA, Firenze, Italy; Istituto di Analisi dei Sistemi ed Informatica (IASI) Antonio Ruberti, CNR, Italy. Electronic address: fasano@math.unifi.it.
authors.forename: A
authors.initials: A
authors.lastname: Fasano
authors.affiliation: Departamento de Matemática and CEMAPRE, ISEG, Universidade de Lisboa, Portugal. Electronic address: jjanela@iseg.ulisboa.pt.
authors.forename: J
authors.initials: J
authors.lastname: Janela
authors.affiliation: CEMAT, IST, Universidade de Lisboa, Portugal; Departamento de Matemática and CEMAT, IST, Universidade de Lisboa, Portugal. Electronic address: adelia.sequeira@math.ist.utl.pt.
authors.forename: A
authors.initials: A
authors.lastname: Sequeira
mesh_terms: D001777:Blood Coagulation; D006801:Humans; D008954:Models, Biological
keywords: Biochemical reactions; Blood coagulation; Mathematical modeling; Platelets; Reaction–advection–diffusion equations; Slip boundary conditions