Development and Application of a Mathematical Model in the Prediction of Stroke in People Exposed to Toxic Dust Factors in the Workplace

M. V. Yashnikova, E. L. Poteryaeva, B. Doronin, V. Maksimov, E. Smirnova
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Abstract

Background. The problem of studying the development of stroke in men of working age working in conditions of high professional risk is relevant. Aim of the research. To develop a method for predicting the development of stroke in men working under conditions of exposure to toxic dust factors. Materials and methods. The study included 111 men aged 30 to 65 years who worked for 5 or more years in the following professions: electric gas welder, gas welder, smelter. The study participants were divided into two groups: the first group – 45 men who had a stroke; the second group – 66 men who did not have stroke history. The subjects of both groups were comparable in terms of occupational structure, age and length of service. Using the method of sequential inclusion of the studied risk factors for stroke development (Forward Stepwise), we determined those that made a significant contribution to the possible development of stroke. Results. Based on multivariate analysis, a logistic regression formula was derived that determines the likelihood of a stroke in patients working under the influence of the toxic dust factor, which included the following factors: the presence of dyslipidemia factor (β-coefficient = 3.7; p = 0.001), the patient’s diagnosis is “stage III arterial hypertension” (β-factor = 5.6; p = 0.002), blood pressure control (β-factor = –3.4; p = 0.005). The patient determines the value of these three parameters, substitutes the appropriate formula for calculating the value of p(X). A value of p(X) in excess of 0.5 indicates a high risk of stroke in men working under conditions of exposure to toxic dust factors. The sensitivity of the proposed method was 84.4 %, specificity – 92.4 %. Conclusion. The multivariate model is informative for the individual prediction of the development of stroke in men working under the influence of the toxic-dust factor, since it reflects the degree of influence of one or another factor on the development of the disease.
工作场所接触有毒粉尘因素人群中风预测数学模型的建立与应用
背景。研究在高职业风险条件下工作的工作年龄男性中风的发展问题是有意义的。研究的目的。目的:建立一种预测在有毒粉尘环境下工作的男性中风发病的方法。材料和方法。该研究包括111名年龄在30至65岁之间的男性,他们在以下行业工作了5年或更长时间:电焊工、气体焊工、冶炼厂。研究参与者被分为两组:第一组有45名中风患者;第二组是66名没有中风史的男性。两组被试在职业结构、年龄和服务年限方面具有可比性。采用顺序纳入研究卒中发展危险因素的方法(Forward Stepwise),我们确定了那些对卒中可能发展有重大贡献的因素。结果。在多因素分析的基础上,导出了确定在有毒粉尘因素影响下工作的患者发生卒中可能性的logistic回归公式,该公式包括以下因素:血脂异常因素的存在(β-系数= 3.7;p = 0.001),诊断为“III期动脉性高血压”(β-factor = 5.6;P = 0.002)、血压控制(β-因子= -3.4;P = 0.005)。患者确定这三个参数的值,代入相应的公式计算p(X)的值。p(X)值超过0.5表明在接触有毒粉尘因素的条件下工作的男性中风的风险很高。该方法的灵敏度为84.4%,特异度为92.4%。结论。多变量模型对于在有毒粉尘因素影响下工作的男性中风发展的个体预测提供了信息,因为它反映了一个或另一个因素对疾病发展的影响程度。
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