简单疹病毒1型和2型动态的记忆驱动建模与神经网络优化.
Zhang Nan1, Emmanuel Addai2, Ridwan Amure2
1School of Mathematics and Statistics, Taiyuan Normal University, TaiYuan, Shanxi, China.
Computer methods and programs in biomedicine
|October 22, 2025
概括
这项研究引入了对疹简单病毒 (HSV) 类型1和2的新数学模型,结合了记忆效应,以更好地了解感染动态,并评估公众宣传活动等干预措施.
科学领域:
- 流行病学 流行病学
- 数学建模的数学建模
- 病毒学 病毒学
背景情况:
- 疹简单病毒 (HSV) 类型1和2是具有重大健康影响的慢性感染.
- 传统模型很难捕捉HSV传播的记忆依赖性.
- 为了解决这些局限性,开发了一种新的分数顺序建模框架.
研究的目的:
- 为HSV-1和HSV-2传播动态开发一个分数顺序的分区模型.
- 将记忆效应纳入慢性病毒感染的流行病学模型.
- 评估干预措施的影响,如公众意识,对HSV控制.
主要方法:
- 使用卡普托衍生构建了一个分数顺序的隔间模型.
- 分析了质量特性和基本的复制数量.
- 进行了灵敏度分析和数值模拟,并实施了深度神经网络.
主要成果:
- 分数顺序的动态显著影响了感染的持续性;较低的顺序延长了感染期.
- 公共意识和传播率是影响HSV传播的关键参数.
- 提高公众意识有效地降低了感染水平,模拟和高度准确的神经网络模型证实了这一点.
结论:
- 分数导数通过捕捉记忆效应来增强HSV的模型现实性.
- 分数建模和深度学习的综合框架允许准确的模拟和干预评估.
- 这种方法为公共卫生规划和优化HSV控制策略提供了一个强大的工具.
相关概念视频
Size and Structure of Viral Genomes
678
Viral genomes exhibit remarkable diversity in size, structure, and composition, influencing their replication strategies and interactions with host cells. These genomes consist of either DNA or RNA and may be linear or circular. Additionally, they can be single-stranded or double-stranded, with each configuration affecting how the virus propagates within a host. RNA viruses, for instance, generally have smaller genomes than DNA viruses, a factor that contributes to their high mutation rates and...
678
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
284
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
284


