血液凝固动力学的数学模型。

A mathematical model of the kinetics of blood coagulation.

作者信息

Khanin M A, Semenov V V

机构信息

Biomedical Cybernetics Research Council, Academy of Medical Sciences, Moscow, USSR.

出版信息

J Theor Biol. 1989 Jan 23;136(2):127-34. doi: 10.1016/s0022-5193(89)80220-6.

DOI:10.1016/s0022-5193(89)80220-6

PMID:2779263

Abstract

Linear mathematical models of the kinetics of blood coagulation have previously been presented (Levine, 1966, Science, N.Y. 152, 651; Martorana & Moro, 1974, Math. Biosci. 21, 77). In this paper a non-linear mathematical model of the extrinsic pathway of blood coagulation is presented to take into account a positive feedback. The feedback is due to factor Va as a co-factor involved in thrombin formation. The extrinsic pathway is shown to function as an amplifier cascade if a vessel wall injury exceeds a threshold value. For sub-threshold stimulation, the extrinsic pathway does not function.

摘要

此前已有关于血液凝固动力学的线性数学模型（莱文，1966年，《科学》，纽约，第152卷，第651页；马尔托拉纳和莫罗，1974年，《数学生物科学》，第21卷，第77页）。本文提出了一种血液凝固外源性途径的非线性数学模型，以考虑正反馈。这种反馈是由于作为凝血酶形成中辅助因子的因子Va所致。如果血管壁损伤超过阈值，外源性途径显示为作为放大级联发挥作用。对于亚阈值刺激，外源性途径不起作用。