Calculation of forces at focal adhesions from elastic substrate data: The effect of localized force and the need for regularization

U. S. Schwarz*, N. Q. Balaban, D. Riveline, A. Bershadsky, B. Geiger, S. A. Safran

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

292 Scopus citations

Abstract

Forces exerted by stationary cells have been investigated on the level of single focal adhesions by combining elastic substrates, fluorescence labeling of focal adhesions, and the assumption of localized force when solving the inverse problem of linear elasticity theory. Data simulation confirms that the inverse problem is ill-posed in the presence of noise and shows that in general a regularization scheme is needed to arrive at a reliable force estimate. Spatial and force resolution are restricted by the smoothing action of the elastic kernel, depend on the details of the force and displacement patterns, and are estimated by data simulation. Corrections arising from the spatial distribution of force and from finite substrate size are treated in the framework of a force multipolar expansion. Our method is computationally cheap and could be used to study mechanical activity of cells in real time.

Original languageAmerican English
Pages (from-to)1380-1394
Number of pages15
JournalBiophysical Journal
Volume83
Issue number3
DOIs
StatePublished - Sep 2002
Externally publishedYes

Bibliographical note

Funding Information:
We thank P. Janmey and Z. Kam for helpful discussions. U.S.S. thanks the Minerva Foundation and the Emmy-Noether program of the German Science Foundation for support. S.A.S. thanks the Schmidt Minerva Center and the Center on Self-Assembly sponsored by the Israel Science Foundation.

Fingerprint

Dive into the research topics of 'Calculation of forces at focal adhesions from elastic substrate data: The effect of localized force and the need for regularization'. Together they form a unique fingerprint.

Cite this