SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA
SENSITIVITY ANALYSIS IN PORO-ELASTIC AND PORO-VISCO-ELASTIC MODELS WITH RESPECT TO BOUNDARY DATA
复制标题
DOI：
10.1090/qam/1475
复制
发表时间：
2017-12-01
影响因子：
0.8
通讯作者：
Guidoboni, G.
中科院分区：
文献类型：
--
作者：
Banks, H. T.;Bekele-Maxwell, K.;Guidoboni, G.
在本文中，我们考虑了受医学和生物学问题启发的多孔弹性和多孔粘弹性模型，并对这些流固混合问题的解对系统的主要驱动力--施加的边界数据进行了灵敏度分析。此外，我们还比较了弹性情况和粘弹性情况下的结果，因为众所周知，生物组织的结构粘度随着年龄和疾病的增加而减小。灵敏度分析是通向与这些模型相关的优化和控制问题的第一步，这是我们的最终目标。
In this article we consider poro-elastic and poro-visco-elastic models inspired by problems in medicine and biology, and we perform sensitivity analysis on the solutions of these fluid-solid mixture problems with respect to the imposed boundary data, which are the main drivers of the system. Moreover, we compare the results obtained in the elastic case vs. visco-elastic case, as it is known that structural viscosity of biological tissues decreases with age and disease. Sensitivity analysis is the first step towards optimization and control problems associated with these models, which is our ultimate goal.