5 papers
Transformer Causality Regularization for Dynamic Inverse Problems
Gesa Sarnighausen, Anne Wald, Andreas Hauptmann
We study the concept of including the causality principle as regularizer into the solution of linear time-dependent inverse problems. This is achieved by combining transformer-base…
Determination of active forces in actomyosin systems as inverse source problems for the Stokes equation
Emily Klass, Tram Thi Ngoc Nguyen, Nilay Cicek +4
The identification of forces and stresses is a central task in biophysics research: Knowledge on forces is key to understanding dynamic processes in active biological systems that…
Regularization for time-dependent inverse problems: Geometry of Lebesgue-Bochner spaces and algorithms
Gesa Sarnighausen, Thorsten Hohage, Martin Burger +2
We consider time-dependent inverse problems in a mathematical setting using Lebesgue-Bochner spaces. Such problems arise when one aims to recover a function from given observations…
Traction force microscopy for linear and nonlinear elastic materials as a parameter identification inverse problem
Gesa Sarnighausen, Tram Thi Ngoc Nguyen, Thorsten Hohage +5
Traction force microscopy is a method widely used in biophysics and cell biology to determine forces that biological cells apply to their environment. In the experiment, the cells…
Dynamic computerized tomography using inexact models and motion estimation
Gesa Sarnighausen, Anne Wald, Alexander Meaney
Reconstructing a dynamic object with affine motion in computerized tomography (CT) leads to motion artifacts if the motion is not taken into account. In most cases, the actual moti…