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DYNAMIC MODEL ON ROLES OF PLATELET IN THE BLOODCOAGULATION AND THE SIMULATION
血小板在凝血中作用的动力学模型及仿真

Keywords: Blood coagulation,Platelet,Coagulation,Dynamic model,Stability analysis
血小板
,凝血,动力学模型,稳定性分析

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Abstract:

On the basis of biochemical experiments,a mathematical model about the action of platelets in blood coagulation is provided. Through qualitative analysis and mathematical simulation, a series of conclusions are drawn about the influence of the activating rate of factor VIII and factor IX on the generation of thrombin. It is evident that the pro-coagulation stimulus must exceed a threshold value to initiate the coagulation cascade. The value is related to the rate of activating of platelets, the binding constant d22. The stability of the fixed value is also related to the pro-coagulation stimulus. The influence of the stimulus strength and activated rate parameter of platelet on thrombin is evaluated. The proportion of platelets activated at any given time is termed c. To each c, a maximum concentration of thrombin is obtained. It shows when the level of factor IX is below 1% of normal level, the rate of thrombin generation reduces dramatically resulting in severe bleeding tendency.

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