系统识别和数学建模在塞尔维亚传播COVID-19的流行病
Jasmina Lozanović Šajić1,2, Sonja Langthaler1, Jörg Schröttner1
1Institute of Health Care Engineering with European Testing Center of Medical Devices, Graz University of Technology, Austria.
概括
控制系统理论和系统识别为模拟SARS-CoV-2流行病传播提供了新的方法. 这些数据驱动的方法产生非线性和线性模型,增强生物医学工程应用.
科学领域:
- 生物医学工程 生物医学工程
- 控制系统理论 控制系统理论
- 流行病学 流行病学
背景情况:
- 控制系统理论在工程科学中广泛应用于系统建模.
- 系统识别,一个关键的科学方法,在生物医学工程中未得到充分利用.
- 数学建模对于理解复杂的生物系统,如病毒传播至关重要.
研究的目的:
- 展示控制系统理论和系统识别在生物医学工程中的应用.
- 开发针对SARS-CoV-2病毒传播的数据驱动数学模型.
- 分析开发模型的可控性和可观测性.
主要方法:
- 利用控制理论和系统识别方法.
- 基于疫情期间测试和感染个体的数据开发了非线性模型.
- 制定了一种线性模型,描述感染者与死亡之间的关系.
主要成果:
- 创建了数据驱动,数据依赖的流行病传播的数学模型.
- 一个非线性模型捕获了SARS-CoV-2传播的动态.
- 一个由二次微分方程表示的线性模型描述了感染和死亡之间的相关性.
- 对模型进行了可控性和可观测性分析.
结论:
- 控制系统理论和系统识别为生物医学应用提供了强大的工具.
- 数据驱动的建模对于理解和预测病毒大流行动态是有效的.
- 开发的模型提供了关于疾病传播和死亡率的见解,对公共卫生战略有影响.
更多相关视频
相关概念视频
Steps in Outbreak Investigation
125
In the ever-evolving field of public health, statistical analysis serves as a cornerstone for understanding and managing disease outbreaks. By leveraging various statistical tools, health professionals can predict potential outbreaks, analyze ongoing situations, and devise effective responses to mitigate impact. For that to happen, there are a few possible stages of the analysis:
125
Statistical Methods for Analyzing Epidemiological Data
364
Epidemiological data primarily involves information on specific populations' occurrence, distribution, and determinants of health and diseases. This data is crucial for understanding disease patterns and impacts, aiding public health decision-making and disease prevention strategies. The analysis of epidemiological data employs various statistical methods to interpret health-related data effectively. Here are some commonly used methods:
364
Mechanistic Models: Compartment Models in Individual and Population Analysis
39
Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least...
39
Statistical Software for Data Analysis and Clinical Trials
546
Statistical software is pivotal in data analysis and clinical trials by providing tools to analyze data, draw conclusions, and make predictions. These software packages range from simple data management applications to complex analytical platforms, supporting various statistical tests, models, and simulation techniques. Their significance lies in their ability to handle vast amounts of data with precision and efficiency, enabling researchers to validate hypotheses, identify trends, and make...
546


