Force traction microscopy: An inverse problem with pointwise observations

[1]  Wesley R. Legant,et al.  Measurement of mechanical tractions exerted by cells in three-dimensional matrices , 2010, Nature Methods.

[2]  K. Krumbiegel Numerical concepts and error analysis for elliptic Neumann control problems with pointwise state and control constraints , 2009 .

[3]  D. Ambrosi,et al.  Cellular Traction as an Inverse Problem , 2006, SIAM J. Appl. Math..

[4]  Marc Bonnet,et al.  Inverse problems in elasticity , 2005 .

[5]  Z. Ding Optimal Boundary Controls of Linear Elastostatics on Lipschitz Domains with Point Observations , 2001 .

[6]  M. Dembo,et al.  Stresses at the cell-to-substrate interface during locomotion of fibroblasts. , 1999, Biophysical journal.

[7]  Lea Fleischer,et al.  Regularization of Inverse Problems , 1996 .

[8]  K. Jacobson,et al.  Imaging the traction stresses exerted by locomoting cells with the elastic substratum method. , 1996, Biophysical journal.

[9]  E. Casas Boundary control of semilinear elliptic equations with pointwise state constraints , 1993 .

[10]  E. Casas Control of an elliptic problem with pointwise state constraints , 1986 .

[11]  E. Casas L2 estimates for the finite element method for the Dirichlet problem with singular data , 1985 .

[12]  A. Harris,et al.  Silicone rubber substrata: a new wrinkle in the study of cell locomotion. , 1980, Science.

[13]  J. Lions Optimal Control of Systems Governed by Partial Differential Equations , 1971 .

[14]  G. Burton Sobolev Spaces , 2013 .

[15]  M. Fabian,et al.  Finite-Dimensional Spaces , 2011 .

[16]  V. Nistor,et al.  Well-posedness and Regularity for the Elasticity Equation with Mixed Boundary Conditions on Polyhedral Domains and Domains with Cracks , 2010 .

[17]  C. Verdier,et al.  Traction patterns of tumor cells , 2009, Journal of mathematical biology.

[18]  Assad A. Oberai,et al.  INVERSE PROBLEMS PII: S0266-5611(03)54272-1 Solution of inverse problems in elasticity imaging using the adjoint method , 2003 .