外源性凝血瀑布动力系统的稳定性

STABILITY OF EXTRINSIC BLOOD COAGULATION CASCADE DYNAMIC SYSTEM

本文首先建立了相应于Lamula与Griffin的凝血动力系统瀑布模式的非线性数学模型．并使用分叉方法较深入地分析了该系统的定态平衡解与动态解的稳定性与全局吸引子．通过动力学分析，我们从理论上证明了存在外源性路径启动的触发阈值及瀑布机制达到终态的细节：趋于一个全局吸引子．

In correspondance with the cascade mode of blood coagulation dynamics by Lamula and Griffin,a nonlinear mathematical model is established in this paper.By using bifurcation theory,the authors discussed in detail steady state solutions,stability and attractors of this system.Furthermore,the authors have proved that the extrinsic pathway of blood coagulation has a start threshold value and the cascade blood coagulation system finally tends to a global attractor.