Viscous-fingering-like instability of cell fragments.

We present a novel flow instability that can arise in thin films of cytoskeletal fluids if the friction with the substrate on which the film lies is sufficiently strong. We consider a two-dimensional, membrane-bound fragment containing actin filaments that polymerize at the edge and depolymerize in the fragment. Performing a linear stability analysis of the initial state due to perturbations of the fragment boundary, we find, in the limit of large friction, that the perturbed actin velocity and pressure fields obey the same laws governing the viscous fingering instability of an interface between immiscible fluids in a Hele-Shaw cell. A remarkable feature of this instability is that it is independent of the strength of the interaction between actin filaments and myosin motors.

[1]  P. Chaikin,et al.  An elastic analysis of Listeria monocytogenes propulsion. , 2000, Biophysical journal.

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

[3]  C. Turner,et al.  Tyrosine phosphorylation of paxillin and pp125FAK accompanies cell adhesion to extracellular matrix: a role in cytoskeletal assembly , 1992, The Journal of cell biology.

[4]  Marie-France Carlier,et al.  Forces generated during actin-based propulsion: a direct measurement by micromanipulation. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[5]  J. Joanny,et al.  Generic theory of active polar gels: a paradigm for cytoskeletal dynamics , 2004, The European physical journal. E, Soft matter.

[6]  Micah Dembo,et al.  Separation of Propulsive and Adhesive Traction Stresses in Locomoting Keratocytes , 1999, The Journal of cell biology.

[7]  Chao Tang,et al.  Viscous flows in two dimensions , 1986 .

[8]  J. Joanny,et al.  Contractility and retrograde flow in lamellipodium motion , 2006, Physical biology.

[9]  Thomas D Pollard,et al.  Cellular Motility Driven by Assembly and Disassembly of Actin Filaments , 2003, Cell.

[10]  Stefan Schinkinger,et al.  Optical rheology of biological cells. , 2005, Physical review letters.

[11]  Paul C. Martin,et al.  Unified Hydrodynamic Theory for Crystals, Liquid Crystals, and Normal Fluids , 1972 .

[12]  Kenneth M. Yamada,et al.  Inhibition of cell migration, spreading, and focal adhesions by tumor suppressor PTEN. , 1998, Science.

[13]  S. Orszag,et al.  Advanced Mathematical Methods For Scientists And Engineers , 1979 .

[14]  J. Davies,et al.  Molecular Biology of the Cell , 1983, Bristol Medico-Chirurgical Journal.

[15]  Jean-Jacques Meister,et al.  Changes in the mechanical properties of fibroblasts during spreading: a micromanipulation study , 1999, European Biophysics Journal.

[16]  F. Jülicher,et al.  Actively contracting bundles of polar filaments. , 2000, Physical review letters.

[17]  R. Rosenfeld Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

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

[19]  T. Mitchison,et al.  Comparison of actin and cell surface dynamics in motile fibroblasts , 1992, The Journal of cell biology.

[20]  Gaudenz Danuser,et al.  Actin–myosin network reorganization breaks symmetry at the cell rear to spontaneously initiate polarized cell motility , 2007, The Journal of cell biology.

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

[22]  Xingyu Jiang,et al.  Directing cell migration with asymmetric micropatterns. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

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

[24]  E. Sackmann,et al.  Shear field mapping in actin networks by using magnetic tweezers , 2004, European Biophysics Journal.

[25]  Gaudenz Danuser,et al.  Tracking retrograde flow in keratocytes: news from the front. , 2005, Molecular biology of the cell.

[26]  Gary G. Borisy,et al.  Self-polarization and directional motility of cytoplasm , 1999, Current Biology.

[27]  L. Addadi,et al.  Force and focal adhesion assembly: a close relationship studied using elastic micropatterned substrates , 2001, Nature Cell Biology.

[28]  K. Sekimoto,et al.  Protein friction exerted by motor enzymes through a weak-binding interaction. , 1991, Journal of theoretical biology.

[29]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .