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- Title
Full L<sub>1</sub>-regularized Traction Force Microscopy over whole cells.
- Authors
Suñé-Auñón, Alejandro; Jorge-Peñas, Alvaro; Aguilar-Cuenca, Rocío; Vicente-Manzanares, Miguel; Van Oosterwyck, Hans; Muñoz-Barrutia, Arrate
- Abstract
Background: Traction Force Microscopy (TFM) is a widespread technique to estimate the tractions that cells exert on the surrounding substrate. To recover the tractions, it is necessary to solve an inverse problem, which is ill-posed and needs regularization to make the solution stable. The typical regularization scheme is given by the minimization of a cost functional, which is divided in two terms: the error present in the data or data fidelity term; and the regularization or penalty term. The classical approach is to use zero-order Tikhonov or L2-regularization, which uses the L2-norm for both terms in the cost function. Recently, some studies have demonstrated an improved performance using L1-regularization (L1-norm in the penalty term) related to an increase in the spatial resolution and sensitivity of the recovered traction field. In this manuscript, we present a comparison between the previous two regularization schemes (relying in the L2-norm for the data fidelity term) and the full L1-regularization (using the L1-norm for both terms in the cost function) for synthetic and real data. Results: Our results reveal that L1-regularizations give an improved spatial resolution (more important for full L1-regularization) and a reduction in the background noise with respect to the classical zero-order Tikhonov regularization. In addition, we present an approximation, which makes feasible the recovery of cellular tractions over whole cells on typical full-size microscope images when working in the spatial domain. Conclusions: The proposed full L1-regularization improves the sensitivity to recover small stress footprints. Moreover, the proposed method has been validated to work on full-field microscopy images of real cells, what certainly demonstrates it is a promising tool for biological applications.
- Subjects
MICROSCOPY; LASERS in biology; INVERSE problems; TIKHONOV regularization; BIOLOGICAL apparatus &; supplies
- Publication
BMC Bioinformatics, 2017, Vol 18, p1
- ISSN
1471-2105
- Publication type
Article
- DOI
10.1186/s12859-017-1771-0