Faddy M J, Cullinan M P, Palmer J E, Westerman B, Seymour G J
Department of Mathematics, The University of Queensland, Brisbane, Australia.
J Periodontol. 2000 Mar;71(3):454-9. doi: 10.1902/jop.2000.71.3.454.
It is generally accepted that periodontal disease progresses by a series of bursts that are interspersed by periods of stability or even gain of attachment. In order to analyze longitudinal data on a patient's disease experience, it is necessary to use models which accommodate serial dependence. Ante-dependence between the results of a series of periodontal examinations over time can be modeled using a Markov chain. This model describes temporal changes in patients' levels of disease in terms of transition probabilities, which allow for both regression and progression of the disease. The aim of the present study was to demonstrate the use of a Markov chain model to analyze data from a longitudinal study investigating the progression of periodontal disease in an adult population.
The study population consisted of 504 volunteers; however, only 456 were included in the analysis because the remaining 48 subjects did not give consecutive data. Subjects were examined at baseline, 6 months, and 1, 2, and 3 years. Probing depths (PD) were recorded using an automated probe. Disease was defined as four or more sites with PD > or = 4 mm. Markov chain modeling was used to determine the effect of age, gender, and smoking on the natural progression and regression (healing) of periodontal disease.
Smoking and increasing age had no effect on the progression of disease in this population, but did have a significant effect (P values < or = 0.05) in reducing the regression of disease; i.e., their effect on disease appears to be inhibition of the natural healing process. Gender had no significant effects.
These results demonstrate how ante-dependence modeling of longitudinal data can reveal effects that may not be immediately apparent from the data, with smoking and increasing age being seen to inhibit the healing process rather than promote disease progression.
人们普遍认为,牙周疾病通过一系列发作而进展,这些发作被稳定期甚至附着获得期所穿插。为了分析患者疾病经历的纵向数据,有必要使用能够适应序列依赖性的模型。一系列牙周检查结果随时间的前期依赖性可以使用马尔可夫链进行建模。该模型根据转移概率描述患者疾病水平的时间变化,这既考虑了疾病的消退也考虑了进展。本研究的目的是证明使用马尔可夫链模型来分析一项纵向研究的数据,该研究调查了成年人群中牙周疾病的进展情况。
研究人群由504名志愿者组成;然而,分析中仅纳入了456名,因为其余48名受试者未提供连续数据。在基线、6个月、1年、2年和3年时对受试者进行检查。使用自动探针记录探诊深度(PD)。疾病定义为四个或更多位点的PD≥4mm。使用马尔可夫链建模来确定年龄、性别和吸烟对牙周疾病自然进展和消退(愈合)的影响。
吸烟和年龄增长对该人群中疾病的进展没有影响,但对疾病的消退有显著影响(P值≤0.05);即它们对疾病的影响似乎是抑制自然愈合过程。性别没有显著影响。
这些结果表明,纵向数据的前期依赖性建模如何能够揭示从数据中可能不会立即显现的影响,吸烟和年龄增长被视为抑制愈合过程而非促进疾病进展。