Blood coagulation dynamics: mathematicalmodeling and stability results
The hemostatic system is a highly complex multicomponent biosystem that under normal physiologic conditions maintains the fluidity of blood. Coagulation is initiated in response to endothelial surface vascular injury or certain biochemical stimuli, by the exposure of plasma to Tissue Factor (TF), t...
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| Language: | English |
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.425 |
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| author | Adélia Sequeira Rafael F. Santos Tomáš Bodnár |
| author_facet | Adélia Sequeira Rafael F. Santos Tomáš Bodnár |
| author_sort | Adélia Sequeira |
| collection | DOAJ |
| description | The hemostatic system is a highly complex multicomponent biosystem that under normal physiologic conditions maintains the fluidity of blood. Coagulation is initiated in response to endothelial surface vascular injury or certain biochemical stimuli, by the exposure of plasma to Tissue Factor (TF), that activates platelets and the coagulation cascade, inducing clot formation, growth and lysis.In recent years considerable advances have contributed to understand this highly complex process and some mathematical and numerical models have been developed. However, mathematical models that are both rigorous and comprehensive in terms of meaningful experimental data, are not available yet.In this paper a mathematical model of coagulation and fibrinolysis in flowing blood that integrates biochemical, physiologic and rheological factors, is revisited. Three-dimensional numerical simulations are performed in an idealized stenosed blood vessel where clot formation and growth are initialized through appropriate boundary conditions on a prescribed region of the vessel wall. Stability results are obtained for a simplified version of the clot model in quiescent plasma, involving some of the most relevant enzymatic reactions that follow Michaelis-Menten kinetics, and having a continuum of equilibria. |
| format | Article |
| id | doaj-art-8140d0c7449342929428a86de4086f82 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-8140d0c7449342929428a86de4086f822025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018242544310.3934/mbe.2011.8.425Blood coagulation dynamics: mathematicalmodeling and stability resultsAdélia Sequeira0Rafael F. Santos1Tomáš Bodnár2Department of Mathematics and CEMAT/IST, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 LisboaDepartment of Mathematics and CEMAT/IST, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 LisboaDepartment of Mathematics and CEMAT/IST, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais 1, 1049-001 LisboaThe hemostatic system is a highly complex multicomponent biosystem that under normal physiologic conditions maintains the fluidity of blood. Coagulation is initiated in response to endothelial surface vascular injury or certain biochemical stimuli, by the exposure of plasma to Tissue Factor (TF), that activates platelets and the coagulation cascade, inducing clot formation, growth and lysis.In recent years considerable advances have contributed to understand this highly complex process and some mathematical and numerical models have been developed. However, mathematical models that are both rigorous and comprehensive in terms of meaningful experimental data, are not available yet.In this paper a mathematical model of coagulation and fibrinolysis in flowing blood that integrates biochemical, physiologic and rheological factors, is revisited. Three-dimensional numerical simulations are performed in an idealized stenosed blood vessel where clot formation and growth are initialized through appropriate boundary conditions on a prescribed region of the vessel wall. Stability results are obtained for a simplified version of the clot model in quiescent plasma, involving some of the most relevant enzymatic reactions that follow Michaelis-Menten kinetics, and having a continuum of equilibria.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.425clot growthcontinuum of equilibriablood coagulationsemistability. |
| spellingShingle | Adélia Sequeira Rafael F. Santos Tomáš Bodnár Blood coagulation dynamics: mathematicalmodeling and stability results Mathematical Biosciences and Engineering clot growth continuum of equilibria blood coagulation semistability. |
| title | Blood coagulation dynamics: mathematicalmodeling and stability results |
| title_full | Blood coagulation dynamics: mathematicalmodeling and stability results |
| title_fullStr | Blood coagulation dynamics: mathematicalmodeling and stability results |
| title_full_unstemmed | Blood coagulation dynamics: mathematicalmodeling and stability results |
| title_short | Blood coagulation dynamics: mathematicalmodeling and stability results |
| title_sort | blood coagulation dynamics mathematicalmodeling and stability results |
| topic | clot growth continuum of equilibria blood coagulation semistability. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.425 |
| work_keys_str_mv | AT adeliasequeira bloodcoagulationdynamicsmathematicalmodelingandstabilityresults AT rafaelfsantos bloodcoagulationdynamicsmathematicalmodelingandstabilityresults AT tomasbodnar bloodcoagulationdynamicsmathematicalmodelingandstabilityresults |