High-frequency stress relaxation in semiflexible polymer solutions and networks.

We measure the linear viscoelasticity of sterically entangled and chemically cross-linked networks of actin filaments over more than five decades of frequency. The high-frequency response reveals rich dynamics unique to semiflexible polymers, including a previously unobserved relaxation due to rapid axial tension propagation. For high molecular weight, and for cross-linked gels, we obtain quantitative agreement with predicted shear moduli in both amplitude and frequency dependence.

[1]  D A Weitz,et al.  Microrheology of entangled F-actin solutions. , 2003, Physical review letters.

[2]  P. Janmey,et al.  Elasticity of semiflexible biopolymer networks. , 1995, Physical review letters.

[3]  C. W. Oseen,et al.  Neuere Methoden und Ergebnisse in der Hydrodynamik , 1927 .

[4]  P. Janmey,et al.  Distribution of actin filament lengths measured by fluorescence microscopy. , 1992, The American journal of physiology.

[5]  J. Howard,et al.  Flexural rigidity of microtubules and actin filaments measured from thermal fluctuations in shape , 1993, The Journal of cell biology.

[6]  D A Weitz,et al.  Scaling of F-actin network rheology to probe single filament elasticity and dynamics. , 2004, Physical review letters.

[7]  F. MacKintosh,et al.  Inertial effects in the response of viscous and viscoelastic fluids. , 2005, Physical review letters.

[8]  F. C. MacKintosh,et al.  Determining Microscopic Viscoelasticity in Flexible and Semiflexible Polymer Networks from Thermal Fluctuations , 1997 .

[9]  D. Morse,et al.  Theory of linear viscoelasticity of semiflexible rods in dilute solution , 2002 .

[10]  T C Lubensky,et al.  Two-point microrheology and the electrostatic analogy. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  A. C. Maggs,et al.  Dynamics and rheology of actin solutions , 1996 .

[12]  D. Morse,et al.  Viscoelasticity of dilute solutions of semiflexible polymers. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  David C. Morse,et al.  VISCOELASTICITY OF TIGHTLY ENTANGLED SOLUTIONS OF SEMIFLEXIBLE POLYMERS , 1998 .

[14]  David C. Morse,et al.  Viscoelasticity of concentrated isotropic solutions of semiflexible polymers. 2. Linear response , 1998 .

[15]  D. Weitz,et al.  Elastic Behavior of Cross-Linked and Bundled Actin Networks , 2004, Science.

[16]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[17]  Maggs,et al.  Subdiffusion and Anomalous Local Viscoelasticity in Actin Networks. , 1996, Physical review letters.

[18]  F. C. MacKintosh,et al.  Microscopic Viscoelasticity: Shear Moduli of Soft Materials Determined from Thermal Fluctuations , 1997 .

[19]  Denis Wirtz,et al.  High-frequency viscoelasticity of crosslinked actin filament networks measured by diffusing wave spectroscopy , 1998 .

[20]  D A Weitz,et al.  Two-point microrheology of inhomogeneous soft materials. , 2000, Physical review letters.

[21]  Christoph F. Schmidt,et al.  Chain dynamics, mesh size, and diffusive transport in networks of polymerized actin. A quasielastic light scattering and microfluorescence study , 1989 .

[22]  T D Pollard,et al.  Mechanical properties of actin filament networks depend on preparation, polymerization conditions, and storage of actin monomers. , 1998, Biophysical journal.

[23]  F. MacKintosh,et al.  Short-time inertial response of viscoelastic fluids: observation of vortex propagation. , 2005, Physical review letters.

[24]  Levine,et al.  One- and two-particle microrheology , 2000, Physical review letters.

[25]  P. Janmey,et al.  Nonlinear elasticity in biological gels , 2004, Nature.

[26]  T. Mckeown Mechanics , 1970, The Mathematics of Fluid Flow Through Porous Media.

[27]  T. Lubensky,et al.  Response function of a sphere in a viscoelastic two-fluid medium. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  F. MacKintosh,et al.  Dynamic shear modulus of a semiflexible polymer network , 1998 .

[29]  L. Cunningham,et al.  Structural and contractile proteins. Part B. The contractile apparatus and the cytoskeleton. , 1982, Methods in enzymology.