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马尔可夫过程在描述糖尿病视网膜病变自然病程中的应用。

The use of the Markov process in describing the natural course of diabetic retinopathy.

作者信息

Garg S K, Marshall G, Chase H P, Jackson W E, Archer P, Crews M J

机构信息

Department of Pediatrics, University of Colorado Health Sciences Center, Denver 80262.

出版信息

Arch Ophthalmol. 1990 Sep;108(9):1245-7. doi: 10.1001/archopht.1990.01070110061025.

Abstract

The natural course of early diabetic retinopathy in young subjects with insulin-dependent diabetes mellitus was evaluated during 693 patient visits for 259 subjects during a mean of 2.4 years. Diabetic retinopathy is considered a progressive disease among people with insulin-dependent diabetes mellitus (type I). Improvement of early retinopathy has not been recognized as a part of the natural course. In our experience, 25% of observations in subjects with early diabetic retinopathy (grades 2 and 3) showed improvement. Thus, 28 of 174 observations of diabetic retinopathy improved from grade 2 to grade 1, and 34 of 79 observations improved from grade 3 to grades 2 or 1. Markov chains indicate that 25% of observations of diabetic retinopathy will change from grade 1 to grade 5 or 6 in 17.0 years and 25% will change from grade 2 to grade 5 or 6 in 16.0 years. Future studies of diabetic retinopathy should consider a matrix of estimated transition probabilities, depending on the population, to judge probabilities of transition between states of retinopathy.

摘要

在平均2.4年的时间里,对259名胰岛素依赖型糖尿病年轻患者进行了693次门诊随访,以评估早期糖尿病视网膜病变的自然病程。糖尿病视网膜病变在胰岛素依赖型糖尿病(I型)患者中被认为是一种进行性疾病。早期视网膜病变的改善尚未被视为自然病程的一部分。根据我们的经验,早期糖尿病视网膜病变(2级和3级)患者中25%的观察结果显示有改善。因此,174例糖尿病视网膜病变观察结果中有28例从2级改善为1级,79例观察结果中有34例从3级改善为2级或1级。马尔可夫链表明,糖尿病视网膜病变观察结果的25%将在17.0年内从1级转变为5级或6级,25%将在16.0年内从2级转变为5级或6级。未来对糖尿病视网膜病变的研究应根据人群考虑一个估计转移概率矩阵,以判断视网膜病变状态之间的转移概率。

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