在复杂网络上具有非指数分布的疾病阶段的免疫-流行病学模型
Junyuan Yang1, Xinyi Duan2, Guiquan Sun3
1Complex Systems Research Center, Shanxi University, Taiyuan 030006, Shanxi, PR China; Shanxi Key Laboratory of Mathematical Techniques in Complex Systems, Shanxi University, Taiyuan 030006, PR China; Key Laboratory of Complex Systems and Data Science of Ministry of Education, Shanxi University, Taiyuan 030006, PR China.
Journal of theoretical biology
|October 10, 2024
概括
使用非指数性疾病持续时间和网络结构的流行病模型比更简单的模型更好地预测疾病传播. 这种方法更准确地捕捉了宿主内的药物度和病毒载荷相互作用.
科学领域:
- 流行病学 流行病学
- 数学生物学 数学生物学
- 网络科学 网络科学
背景情况:
- 传统的流行病模型通常使用指数分布来计算疾病阶段,简化了分析,但限制了准确性.
- 指数式假设难以代表宿主内部的复杂动态,例如药物度和病毒载荷相互作用.
研究的目的:
- 开发和分析复杂网络上的免疫流行病学模型,该模型包含非指数性的疾病持续时间分布.
- 调查宿主内部病毒载荷对疾病诱导死亡率的影响及其与宿主间传播的联系.
主要方法:
- 使用普通微分方程和积分方程来连接主机内部和主机之间动态的混合模型的制定.
- 数学分析以确定模型平衡的存在和稳定性,这取决于基本的复制数.
- 数字模拟以探索非指数分布和网络拓对流行病模式的影响.
主要成果:
- 该模型表明,非指数性疾病持续时间分布显著影响流行病预测.
- 网络拓在塑造疾病传播的整体模式方面发挥着至关重要的作用.
- 主体内病毒载量与疾病引起的死亡之间的联系是传播动态的关键因素.
结论:
- 非指数性疾病阶段持续时间对于准确的流行病建模至关重要,特别是在考虑宿主内部的过程时.
- 复杂的网络结构及其特性显著影响流行病的结果.
- 开发的模型为了解疾病动态和告知公共卫生战略提供了更现实的框架.
相关概念视频
Steps in Outbreak Investigation
108
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:
108
Stages of Infection
55.7K
Stages of infection describe what happens to a susceptible host once a pathogen invades the human body. The stages of infection are incubation, prodromal, illness, stage of decline, and convalescence. The incubation stage is the period from exposure to a pathogen until symptoms start. The infected person is unaware of impending illness as the pathogens grow and multiply within the body. The duration may vary depending on the type of infection. The incubation period of measles averages ten to...
55.7K
Protein Networks
3.9K
An organism can have thousands of different proteins, and these proteins must cooperate to ensure the health of an organism. Proteins bind to other proteins and form complexes to carry out their functions. Many proteins interact with multiple other proteins creating a complex network of protein interactions.
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
These interactions can be represented through maps depicting protein-protein interaction networks, represented as nodes and edges. Nodes are circles that are representative of a protein,...
3.9K
Mechanistic Models: Compartment Models in Individual and Population Analysis
31
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...
31


