Mathematical modelling of cell migration: stiffness dependent jump rates result in durotaxis

[1]  Paolo A. Netti,et al.  Mechanosensing of substrate stiffness regulates focal adhesions dynamics in cell , 2017 .

[2]  Jing Jiang,et al.  Cell migration and organization in three‐dimensional in vitro culture driven by stiffness gradient , 2016, Biotechnology and bioengineering.

[3]  H. Harry Asada,et al.  Cell Invasion Dynamics into a Three Dimensional Extracellular Matrix Fibre Network , 2015, PLoS Comput. Biol..

[4]  L. Sander.  Modeling contact guidance and invasion by cancer cells. , 2014, Cancer research.

[5]  S. Kidoaki,et al.  Time-Dependent Migratory Behaviors in the Long-Term Studies of Fibroblast Durotaxis on a Hydrogel Substrate Fabricated with a Soft Band , 2014, Langmuir : the ACS journal of surfaces and colloids.

[6]  Christopher P. Grant,et al.  Cell speed is independent of force in a mathematical model of amoeboidal cell motion with random switching terms. , 2013, Mathematical biosciences.

[7]  Kenneth M. Yamada,et al.  Dimensions in cell migration. , 2013, Current opinion in cell biology.

[8]  Sergey V Plotnikov,et al.  Guiding cell migration by tugging. , 2013, Current opinion in cell biology.

[9]  Roeland M. H. Merks,et al.  Mechanical Cell-Matrix Feedback Explains Pairwise and Collective Endothelial Cell Behavior In Vitro , 2013, PLoS Comput. Biol..

[10]  M. Scott,et al.  A force based model of individual cell migration with discrete attachment sites and random switching terms. , 2013, Journal of biomechanical engineering.

[11]  Igor S. Aranson,et al.  Effects of Adhesion Dynamics and Substrate Compliance on the Shape and Motility of Crawling Cells , 2013, PloS one.

[12]  Roger D Kamm,et al.  Integrating focal adhesion dynamics, cytoskeleton remodeling, and actin motor activity for predicting cell migration on 3D curved surfaces of the extracellular matrix. , 2012, Integrative biology : quantitative biosciences from nano to macro.

[13]  M. Chaplain,et al.  Computational modeling of single-cell migration: the leading role of extracellular matrix fibers. , 2012, Biophysical journal.

[14]  F. O'Brien,et al.  Mesenchymal stem cell fate is regulated by the composition and mechanical properties of collagen-glycosaminoglycan scaffolds. , 2012, Journal of the mechanical behavior of biomedical materials.

[15]  S. Stupp,et al.  Survival, migration and differentiation of mouse tau-GFP embryonic stem cells transplanted into the rat auditory nerve , 2012, Experimental Neurology.

[16]  M. Ventre,et al.  A numerical model for durotaxis. , 2011, Journal of theoretical biology.

[17]  Sean X. Sun,et al.  Adhesion dynamics and durotaxis in migrating cells , 2011, Physical biology.

[18]  Valerie M. Weaver,et al.  The extracellular matrix at a glance , 2010, Journal of Cell Science.

[19]  S. Stupp,et al.  Self‐assembling peptide amphiphile promotes plasticity of serotonergic fibers following spinal cord injury , 2010, Journal of neuroscience research.

[20]  F. O'Brien,et al.  Substrate stiffness and contractile behaviour modulate the functional maturation of osteoblasts on a collagen-GAG scaffold. , 2010, Acta biomaterialia.

[21]  P. A. Dimilla,et al.  Vascular smooth muscle cell durotaxis depends on substrate stiffness gradient strength. , 2009, Biophysical journal.

[22]  Risto Penttinen,et al.  Extracellular Matrix Molecules: Potential Targets in Pharmacotherapy , 2009, Pharmacological Reviews.

[23]  Kenneth M. Yamada,et al.  One-dimensional topography underlies three-dimensional fibrillar cell migration , 2009, The Journal of cell biology.

[24]  A. Kashina,et al.  Cell biology of embryonic migration. , 2008, Birth defects research. Part C, Embryo today : reviews.

[25]  Ulrich S Schwarz,et al.  Physical determinants of cell organization in soft media. , 2005, Medical engineering & physics.

[26]  Jeffrey Wyckoff,et al.  Cell migration in tumors. , 2005, Current opinion in cell biology.

[27]  D A Weitz,et al.  Glioma expansion in collagen I matrices: analyzing collagen concentration-dependent growth and motility patterns. , 2005, Biophysical journal.

[28]  Erik Sahai,et al.  Tumor cells caught in the act of invading: their strategy for enhanced cell motility. , 2005, Trends in cell biology.

[29]  Daniel J Brat,et al.  Microregional extracellular matrix heterogeneity in brain modulates glioma cell invasion. , 2004, The international journal of biochemistry & cell biology.

[30]  J. Parkin,et al.  An overview of the immune system , 2001, The Lancet.

[31]  M. Dembo,et al.  Cell movement is guided by the rigidity of the substrate. , 2000, Biophysical journal.

[32]  H. Berg,et al.  Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking , 1972, Nature.

[33]  S. Carter,et al.  Haptotaxis and the Mechanism of Cell Motility , 1967, Nature.

[34]  Radek Erban,et al.  From Individual to Collective Behavior in Bacterial Chemotaxis , 2004, SIAM J. Appl. Math..

[35]  N. Otsu.  A Threshold Selection Method from Gray-Level Histograms , 1979, IEEE Trans. Syst. Man Cybern..