内原性凝血及抑制的动力学模型与模拟

THE KINETIC MODEL AND SIMULATION OF BLOOD COAGULATION IN INTRINSIC PATH

目的 研究正反馈和负反馈反应在凝血放大中的动力学作用。方法 运用模型化方法就凝血的中心反应建立动力学模型。结果 当 β≥β0 (存在但不易由模拟结果得到 )时系统才有正平衡解 ;逐渐增加κ2 的值 ,发现因子Xa的浓度从轻微的振荡到一个正平衡解改变为逐渐增加到一个正平衡解 ;当κ3超出正常生理意义的 8倍 ,系统开始出现极限环解。结论 很显然Xase必须大于一个阈值凝血反应才能放大 ,此阈值随APC浓度的增加而增大。通过进一步分析系统的震荡及周期性与APC的关系 ,发现震荡有可能发生在病理情况下 ,另外根据数学动力学原理 。

Objective To study of the dynamic role of both positive and negative feedback reactions in blood coagulation.Methods A kinetic model is developed for the reactions of central blood coagulation. Results The system has positive solution only ifβ≥β 0(which exists, but can not be obtained easily by simulation);The concentration of Xa transmits from oscillating slightly to a positive solution to gradually increasing to a positive solution; If κ 3 is over 8 times of its normal level, the system has periodic solution.Conclusion It is evident that Xase must exceed a threshold value to amplify blood coagulation, and the value increases as the concentration of APC increases. Furthermore, after studying the relation of oscillation and periodicity to APC, we found that oscillation may occurs under pathology. In addition, according to mathematics law, we gave the theory base for haemophilia therapy.