Multi-scale PDE Inverse Problem in Bacterial Movement

被引：0

作者：

Hellmuth, Kathrin ^{[1
]}

Klingenberg, Christian ^{[1
]}

Li, Qin ^{[2
]}

机构：

[1] Univ Wurzburg, Dept Math, Wurzburg, Germany

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS, VOL II, HYP2022 | 2024年 / 35卷

关键词：

Inverse problems; Multi-scale modelling; Kinetic chemotaxis model; Parameter reconstruction; Keller-Segel model; Diffusion scaling limit; TRANSPORT-EQUATION; CHEMOTAXIS; AGGREGATION; MODELS;

D O I：

10.1007/978-3-031-55264-9_34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By their nature, biological systems evolve to complex structures, posing challenges for mathematical modelling that involve partial differential equations (PDEs). Experimental data is used to bridge the gap between simplified models and real world applications. The models as well as the associated inverse problems exhibit a multi-scale structure. In this article, we summarize recent studies on the multi-scale behaviour of PDE inverse problems for models of bacterial movement.

引用

页码：395 / 405

页数：11

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