STEWART-HAMILTON EQUATIONS AND INDICATOR DILUTION METHOD

STEWART-HAMILTON EQUATIONS AND INDICATOR DILUTION METHOD
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DOI:
10.1137/0134053
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发表时间:
1978-01-01
影响因子:
1.9
通讯作者:
ECKHARDT, U
ECKHARDT, U
中科院分区:
数学4区
文献类型:
--
作者:
PROFANT, M;VYSKA, K;ECKHARDT, U

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在心脏诊断中,指示剂稀释法的理论基础是Stewart-Hamilton方程。在本文中,我们找到确切的物理和数学条件下,这些方程确实是有效的一个非常简单的模型的情况。同时研究了指示剂注入和取样过程的传递函数的性质。本文最后证明,确实有实际的实验设计,斯图尔特-汉密尔顿方程满足简单的模型。
The so-called Stewart–Hamilton equations are generally accepted as a theoretical basis of the indicator dilution method in heart diagnosis. In this paper we find the exact physical and mathematical conditions under which these equations are indeed valid for a very simple model situation. At the same time the nature of the transfer function relating the processes of indicator injection and sampling is studied. The paper ends by demonstrating that there are indeed practical experimental designs where the Stewart–Hamilton equations are fulfilled in the simple model given.