Super-resolved Traction Force Microscopy over whole cells
Autor: | Arrate Muñoz-Barrutia, Hans Van Oosterwyck, Alejandro Sune-Aunon, Alvaro Jorge-Peñas |
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Rok vydání: | 2017 |
Předmět: |
0301 basic medicine
Mathematical optimization Noise measurement medicine.medical_treatment Traction (orthopedics) Inverse problem Traction force microscopy Regularization (mathematics) Background noise Tikhonov regularization 03 medical and health sciences 030104 developmental biology medicine Applied mathematics Image resolution Mathematics |
Zdroj: | ISBI |
Popis: | Traction Force Microscopy (TFM) is a commonly used technique to compute cellular tractions that cells exert to the surrounding substrate. Traction recovery is an ill-posed inverse problem, which needs regularization to stabilize the solution. Due to its simplicity, Tikhonov or L 2 -regularization is usually used, but recent studies have demonstrated the increase of sensitivity and resolution in the recovered tractions using an L 1 -regularization scheme. In this manuscript, we present an approximation that makes feasible the traction recovery on full-size microscope images when working in the spatial domain. We perform also a comparison between the two regularization schemes named before (relying in L 2 -norm for the data fidelity term) and the full L 1 -regularization (using L 1 -norm for both the regularization and data fidelity terms). Our proof of concept using real data reveal that L 1 -regularizations might give an improved resolution (more accused for full L 1 -regularization) and a reduction in the background noise with respect to the classical zero-order Tikhonov regularization. |
Databáze: | OpenAIRE |
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