适应性整合历史变量在受限制的混合模型中,用于器官规模的生长和重塑
Amadeus M Gebauer1, Martin R Pfaller2, Jason M Szafron3
1Institute for Computational Mechanics, Department of Engineering Physics & Computation, TUM School of Engineering and Design, Technical University of Munich, Garching, Germany.
International journal for numerical methods in biomedical engineering
|September 20, 2024
概括
软组织生长和重塑 (G&R) 的计算模型通过适应性策略得到增强. 这些方法显著降低了计算成本,使大器官规模的G&R模拟成为可能.
科学领域:
- 计算力学是计算力学.
- 生物物理学的生物物理.
- 组织工程是组织工程.
背景情况:
- 计算模型对于预测软组织生长和重塑 (G&R) 是至关重要的.
- 约束混合理论在心血管G&R模型中被广泛使用.
- 高的计算成本限制了大型器官规模的模拟.
研究的目的:
- 开发适应性策略,将历史变量集成到受约束混合模型中.
- 为了实现软组织G&R的计算效率高,大器官规模的模拟.
- 为了减少长距离模拟中的内存消耗和计算时间.
主要方法:
- 提出了在受约束混合模型中适应性整合历史变量的两个策略.
- 利用组织降解来减少随着时间的推移而沉积的组织的影响.
- 分析了组织贴片上的模型性能和模拟的双心室心脏模型.
主要成果:
- 适应性策略显著降低了计算成本和内存需求.
- 在双心室心脏模型中,可以对高血压状况进行模拟.
- 实现了三倍的速度提升和六倍的内存使用量减少.
结论:
- 历史变量的自适应集成大大降低了G&R模拟的计算成本.
- 允许更精细的分辨率模型和更长的模拟时间.
- 促进了大型器官规模的模拟,这对于理解心血管疾病至关重要.
更多相关视频
相关概念视频
Mechanistic Models: Compartment Models in Individual and Population Analysis
32
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...
32
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving
45
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...
45
Life Histories
17.8K
Overview
17.8K


