考虑血小板粘附性的血栓生长数学模型

The Model with Hematoblastic Conglutination for One Dimension Thrombus Growth

对于上半空间无限大均匀血液在其底部血栓生长过程的一维数学模型,利用相似性解法求出的血栓的生长速度在初始时刻是无穷大,因而是无效的。该文从血小板在交界面上处于动态平衡状态出发,利用血小板的粘度系数,修正交界面上血栓的生长速度关系式,得出了血栓的生长速度为常数的行波解。

About the model for one dimension thrombus growth on hemi-space,the thrombus growth velocity using the similarity method is infinite,so it is invalid.In this paper,beginning with the thrombus homeostasis,we introduce into the coefficient of hematoblastic conglutination,modify the relation of the thrombus growth velocity, and get a travelling wave solution with invariable velocity.