The review of contemporary ideas about the influence of flow rate on blood clotting

Shibeko, Alexey M.; Karamzin, S. S.; Butylin, Andrey A.; Panteleev, Mikhail A.; Ataullakhanov, F. I.

doi:10.1134/s1990747809040047

Cited by 4 publications

(2 citation statements)

References 24 publications

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“…An equally complex mechanism is set in motion to gradually dissolve clots, followed by the repair of the injured tissue. These processes involve complex interactions between multiple molecular and cellular components in the blood and vessel wall, and it is also influenced by the flow of blood [9,20,38,41,[47][48][49]51].…”

Section: Introductionmentioning

confidence: 99%

Numerical simulations of a reduced model for blood coagulation

Pavlova

Fasano

Sequeira

2016

Z. Angew. Math. Phys.

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In this work, the three-dimensional numerical resolution of a complex mathematical model for the blood coagulation process is presented. The model was illustrated in Fasano et al. (Clin Hemorheol Microcirc 51:1-14, 2012), Pavlova et al. (Theor Biol 380:367-379, 2015). It incorporates the action of the biochemical and cellular components of blood as well as the effects of the flow. The model is characterized by a reduction in the biochemical network and considers the impact of the blood slip at the vessel wall. Numerical results showing the capacity of the model to predict different perturbations in the hemostatic system are discussed. Mathematics Subject Classification. Primary 92C10 · 92C45; Secondary 76M10.

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Section: Introductionmentioning

confidence: 99%

Numerical simulations of a reduced model for blood coagulation

Pavlova

Fasano

Sequeira

2016

Z. Angew. Math. Phys.

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“…A) The moment of clotting initiation as a function of the initial wall shear rate for NPP and PRP for a long tube with the length 8 mm. Experimental results of in vitro thrombus formation are shown for comparison purposes (reproduced from[11,40]). B) The percentage of the vessel occupied by the clot at t = 800 s according to the one-equation 1D model.…”

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confidence: 99%

A mathematical model to quantify the effects of platelet count, shear rate, and injury size on the initiation of blood coagulation under venous flow conditions

Bouchnita¹,

Terekhov

Nony

et al. 2020

PLoS ONE

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Platelets upregulate the generation of thrombin and reinforce the fibrin clot which increases the incidence risk of venous thromboembolism (VTE). However, the role of platelets in the pathogenesis of venous cardiovascular diseases remains hard to quantify. An experimentally validated model of thrombin generation dynamics is formulated. The model predicts that a high platelet count increases the peak value of generated thrombin as well as the endogenous thrombin potential (ETP) as reported in experimental data. To investigate the effects of platelets density, shear rate, and wound size on the initiation of blood coagulation, we calibrate a previously developed model of venous thrombus formation and implement it in 3D using a novel cell-centered finite-volume solver. We conduct numerical simulations to reproduce in vitro experiments of blood coagulation in microfluidic capillaries. Then, we derive a reduced one-equation model of thrombin distribution from the previous model under simplifying hypotheses and we use it to determine the conditions of clotting initiation on the platelet count, the shear rate, and the plasma composition. The initiation of clotting also exhibits a threshold response to the size of the wounded region in good agreement with the reported experimental findings.

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