MATHEMATICAL FRAMEWORK FOR TRACTION FORCE MICROSCOPY
暂无分享,去创建一个
L. Preziosi | C. Verdier | D. Ambrosi | J. Étienne | A. Duperray | G. Vitale | R. Michel | V. Peschetola
[1] Luigi Preziosi,et al. Time‐dependent traction force microscopy for cancer cells as a measure of invasiveness , 2013, Cytoskeleton.
[2] Masaki Sano,et al. Dynamics of traction stress field during cell division. , 2012, Physical review letters.
[3] L. Preziosi,et al. Force traction microscopy: An inverse problem with pointwise observations , 2012 .
[4] C. Verdier,et al. Inverse problems for the determination of traction forces by cells on a substrate: a comparison of two methods , 2012, Computer methods in biomechanics and biomedical engineering.
[5] H. Brezis. Functional Analysis, Sobolev Spaces and Partial Differential Equations , 2010 .
[6] P. Hansen. Discrete Inverse Problems: Insight and Algorithms , 2010 .
[7] D. Ambrosi,et al. Cellular Traction as an Inverse Problem , 2006, SIAM J. Appl. Math..
[8] Bernd Hofmann,et al. Convergence rates for Tikhonov regularization from different kinds of smoothness conditions , 2006 .
[9] Jack Dongarra,et al. Special Issue on Program Generation, Optimization, and Platform Adaptation , 2005, Proc. IEEE.
[10] Steven G. Johnson,et al. The Design and Implementation of FFTW3 , 2005, Proceedings of the IEEE.
[11] N. Balaban,et al. Calculation of forces at focal adhesions from elastic substrate data: the effect of localized force and the need for regularization. , 2002, Biophysical journal.
[12] Ben Fabry,et al. Traction fields, moments, and strain energy that cells exert on their surroundings. , 2002, American journal of physiology. Cell physiology.
[13] L. Addadi,et al. Force and focal adhesion assembly: a close relationship studied using elastic micropatterned substrates , 2001, Nature Cell Biology.
[14] B. Moran,et al. Natural neighbour Galerkin methods , 2001 .
[15] M. Dembo,et al. Stresses at the cell-to-substrate interface during locomotion of fibroblasts. , 1999, Biophysical journal.
[16] C. Gasquet,et al. Fourier analysis and applications , 1998 .
[17] Dianne P. O'Leary,et al. The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems , 1993, SIAM J. Sci. Comput..
[18] P. G. Ciarlet,et al. Mathematical elasticity, volume I: Three-dimensional elasticity , 1989 .
[19] J. Lions. Optimal Control of Systems Governed by Partial Differential Equations , 1971 .
[20] G. Burton. Sobolev Spaces , 2013 .
[21] C. Verdier,et al. Traction patterns of tumor cells , 2009, Journal of mathematical biology.
[22] Kwang-Ting Cheng,et al. Fundamentals of algorithms , 2009 .
[23] Clare M Waterman,et al. High resolution traction force microscopy based on experimental and computational advances. , 2008, Biophysical journal.
[24] Lev Davidovich Landau,et al. Théorie de l"élasticité , 1990 .
[25] C. Vogel. Computational Methods for Inverse Problems , 1987 .