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Segregation of Flowing Blood: Mathematical Description

A. Tokarev;  G. Panasenko;  F. Ataullakhanov — 2011

Mathematical Modelling of Natural Phenomena

Blood rheology is completely determined by its major corpuscles which are erythrocytes, or red blood cells (RBCs). That is why understanding and correct mathematical description of RBCs behavior in blood is a critical step in modelling the blood dynamics. Various phenomena provided by RBCs such as aggregation, deformation, shear-induced diffusion and non-uniform radial distribution affect the passage of blood through the vessels. Hence, they have...

Spatial Dynamics of Contact-Activated Fibrin Clot Formation and in Haemophilia B: Effects of Severity and Ahemphil B Treatment

A. A. Tokarev;  Yu. V. Krasotkina;  M. V. Ovanesov;  M. A. Panteleev;  M. A. Azhigirova;  V. A. Volpert;  F. I. Ataullakhanov;  A. A. Butilin — 2010

Mathematical Modelling of Natural Phenomena

Spatial dynamics of fibrin clot formation in non-stirred system activated by glass surface was studied as a function of FIX activity. Haemophilia B plasma was obtained from untreated patients with different levels of FIX deficiency and from severe haemophilia B patient treated with FIX concentrate (Ahemphil B) during its clearance with half-life t=12 hours. As reported previously (Ataullakhanov et al. Biochim Biophys Acta 1998; 1425: 453-468), clot growth in space showed two distinct phases: activation...

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