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Mathematical models for blood coagulation

Bodnár, Tomáš; Fasano, Antonio; Sequeira, Adélia

Fluid-Structure Interaction and Biomedical Applications. Advances in Mathematical Fluid Mechanics, Springer Basel, (2014), 483-569

This chapter presents an overview and introduction to blood coagulation models. The historical exposure of the development of classical coagulation modeling theories is followed by a basic overview of blood coagulation biochemistry. The recent developments of cell-based models are explained in detail to demonstrate the current shift from the classical cascade/waterfall models. This phenomenological overview is followed by a survey of available mathematical concepts used to describe the blood coagulation process at various spatial scales including some of the related biophysical phenomena. A comprehensive survey of basic literature is provided for each of these topics.