Summary
Platelet aggregation and coagulation are the two main components of blood clotting, both of the normal hemostasis that maintains vascular integrity and of the pathological thrombosis that is the cause of most heart attacks and strokes. Two approaches to modeling aspects of blood clotting are presented. The first emphasizes the mechanical interactions among platelets, fluid, and vessel, in platelet aggregation. It uses the immersed boundary method as a modeling/computational tool on which to base three-dimensional simulations of platelet aggregation. The second emphasizes coagulation biochemistry and uses a much simplified description of flow and transport. The dynamics of coagulation are studied and novel predictions about the regulation of the system are made.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
R.W. Colman, J.J. Cook and S. Niewiarowski (1994) Mechanisms of platelet aggregation. In: Hemostasis and thrombosis: Basic principles and clinical practice (Colman, Hirsch, Marder, and Salzman, eds.) J.B. Lippincott Company, Philadelphia, 508–523
A.L. Fogelson (1992) Continuum models of platelet aggregation: Formulation and mechanical properties. SIAM JAppl Math 52, 1089
A.L. Fogelson (1993) Continuum models of platelet aggregation: Mechanical properties and chemically induced phase transitions. Contemp Math 141, 279–294
A.L. Fogelson and A.L. Kuharsky (1998) Membrane binding site density can modulate activation thresholds in enzyme systems. J Theor Biol 193, 1–18
H.C. Hemker and H. Kessels (1991) Feedback mechanisms in coagulation. Haemostasis 21, 189–196
J. Jesty and Y Nemerson (1995) The pathways of blood coagulation. In: Williams Hematology (E. Beutler, M. Lichtman and B. Coller, eds.) McGraw-Hill, New York, 5th ed., 1227–1238
A. Kuharsky (1998) Mathematical modeling of blood coagulation. PhD thesis University of Utah
A. Kuharsky and A. Fogelson (2001) Surface-mediated control of blood coagulation: The role of binding site densities and platelet deposition. Biophysical Journal 80, 1050–1074
R.J. LeVeque (1996) High-resolution conservative algorithms for advection in incompressible flow.SIAM J Numer Anal 33, 627–665. Algorithm available http://www.amath.washington.edu~claw
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Basel AG
About this chapter
Cite this chapter
Fogelson, A., Yu, H., Kuharsky, A. (2003). Computational Modeling of Blood Clotting: Coagulation and Three-dimensional Platelet Aggregation. In: Alt, W., Chaplain, M., Griebel, M., Lenz, J. (eds) Polymer and Cell Dynamics. Mathematics and Biosciences in Interaction. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8043-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8043-5_13
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9417-3
Online ISBN: 978-3-0348-8043-5
eBook Packages: Springer Book Archive