Bending dynamics of fluctuating biopolymers probed by automated high-resolution filament tracking.

Microscope images of fluctuating biopolymers contain a wealth of information about their underlying mechanics and dynamics. However, successful extraction of this information requires precise localization of filament position and shape from thousands of noisy images. Here, we present careful measurements of the bending dynamics of filamentous (F-)actin and microtubules at thermal equilibrium with high spatial and temporal resolution using a new, simple but robust, automated image analysis algorithm with subpixel accuracy. We find that slender actin filaments have a persistence length of approximately 17 microm, and display a q(-4)-dependent relaxation spectrum, as expected from viscous drag. Microtubules have a persistence length of several millimeters; interestingly, there is a small correlation between total microtubule length and rigidity, with shorter filaments appearing softer. However, we show that this correlation can arise, in principle, from intrinsic measurement noise that must be carefully considered. The dynamic behavior of the bending of microtubules also appears more complex than that of F-actin, reflecting their higher-order structure. These results emphasize both the power and limitations of light microscopy techniques for studying the mechanics and dynamics of biopolymers.

[1]  J. Käs,et al.  Direct Measurement of the Wave-Vector-Dependent Bending Stiffness of Freely Flickering Actin Filaments , 1993 .

[2]  J. Spudich,et al.  Purification of muscle actin. , 1982, Methods in cell biology.

[3]  D. Warshaw,et al.  Computer-assisted tracking of actin filament motility. , 1992, Analytical biochemistry.

[4]  D. Axelrod Total internal reflection fluorescence microscopy in cell biology. , 2003, Methods in enzymology.

[5]  M. Solomon,et al.  Direct visualization of colloidal rod assembly by confocal microscopy. , 2005, Langmuir : the ACS journal of surfaces and colloids.

[6]  S. Pizer,et al.  The Image Processing Handbook , 1994 .

[7]  D. Grier,et al.  Methods of Digital Video Microscopy for Colloidal Studies , 1996 .

[8]  F. MacKintosh,et al.  High-frequency stress relaxation in semiflexible polymer solutions and networks. , 2006, Physical review letters.

[9]  Marileen Dogterom,et al.  A bending mode analysis for growing microtubules: evidence for a velocity-dependent rigidity. , 2004, Biophysical journal.

[10]  Erwin Frey,et al.  Thermal fluctuations of grafted microtubules provide evidence of a length-dependent persistence length , 2005, Proceedings of the National Academy of Sciences.

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

[12]  Elena V. Orlova The Image Processing Handbook, 3rd ed., John C. Russ, , 2002 .

[13]  J. Zegers,et al.  Path reconstruction as a tool for actin filament speed determination in the in vitro motility assay. , 1999, Analytical biochemistry.

[14]  Carsten Steger,et al.  An Unbiased Detector of Curvilinear Structures , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  M K Cheezum,et al.  Quantitative comparison of algorithms for tracking single fluorescent particles. , 2001, Biophysical journal.

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

[17]  J. Marko,et al.  Effect of internal friction on biofilament dynamics. , 2002, Physical review letters.

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

[19]  A C Maggs,et al.  Analysis of microtubule rigidity using hydrodynamic flow and thermal fluctuations. , 1994, The Journal of biological chemistry.

[20]  Erwin Frey,et al.  Tracer studies on f-actin fluctuations. , 2002, Physical review letters.

[21]  J. D. Pardee,et al.  [18] Purification of muscle actin , 1982 .

[22]  Internal motility in stiffening actin-myosin networks. , 2003, Physical review letters.

[23]  S. Lowen The Biophysical Journal , 1960, Nature.

[24]  D. Weitz,et al.  Scaling of the microrheology of semidilute F-actin solutions , 1999 .

[25]  Hideo Tashiro,et al.  Flexural rigidity of individual microtubules measured by a buckling force with optical traps. , 2006, Biophysical journal.

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

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

[28]  T C Lubensky,et al.  Microrheology, stress fluctuations, and active behavior of living cells. , 2003, Physical review letters.

[29]  Donald E. Ingber,et al.  Jcb: Article Introduction , 2002 .

[30]  Thomas D Pollard,et al.  Real-time measurements of actin filament polymerization by total internal reflection fluorescence microscopy. , 2005, Biophysical journal.

[31]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[32]  R Ezzell,et al.  F-actin, a model polymer for semiflexible chains in dilute, semidilute, and liquid crystalline solutions. , 1996, Biophysical journal.

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

[34]  S. Timoshenko,et al.  Theory of Elasticity (3rd ed.) , 1970 .

[35]  B. Mickey,et al.  Rigidity of microtubules is increased by stabilizing agents , 1995, The Journal of cell biology.

[36]  Sergio R. Aragon,et al.  Dynamics of wormlike chains , 1985 .

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

[38]  M. Magnasco,et al.  Measurement of the persistence length of polymerized actin using fluorescence microscopy. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[39]  B. Alberts,et al.  Molecular Biology of the Cell (4th Ed) , 2002 .

[40]  M. Schliwa,et al.  Flexural rigidity of microtubules measured with the use of optical tweezers. , 1996, Journal of cell science.

[41]  G Danuser,et al.  Tracking differential interference contrast diffraction line images with nanometre sensitivity , 2000, Journal of microscopy.

[42]  E. Nogales Structural insights into microtubule function. , 2000, Annual review of biochemistry.

[43]  Mathews Jacob,et al.  Design of steerable filters for feature detection using canny-like criteria , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.