Skip to main content
Log in

The viscoelasticity of entangled actin networks: the influence of defects and modulation by talin and vinculin

  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

Rheological measurements of the frequency-dependent complex elastic module G*(ω) of entangled F-actin solutions in the frequency range 10−5 − 1 Hz were carried out in three dynamic regimes: 1.) A terminal relaxation from gel-like to liquid-like behaviour measured at frequencies ω < τd −1 2.) a rubber-type plateau and 3.) a regime determined by chain conformational transitions at frequencies ω > τi −1. A major point of interest was to clarify whether rheological, high precision measurements can yield quantitative information about the influence of talin and vinculin on the structure, chain dynamics, elasticity and viscoelasticity of actin filaments with time. We show that in the regime reflecting internal chain dynamics (10−2 to 1 s time domain), F-actin behaves as a random coil of the Rouse type. This contrasts with dynamic light scattering and correlation spectroscopic studies of actin filament flickering, which indicate that filaments behave as semiflexible rods. The internal chain dynamics, which are determined by thermically excited bending undulations, exhibit a persistence length of 0.3−1 μm Evidence is provided that this discrepancy is due to a cross-over of semiflexible rod behaviour at excitation wavelengths (Λ) below approximately 1 gm to random-coil behaviour at Λ 1 µ (expected at a frequency ω ∼ 1 Hz). The random coil behaviour is largely determined by defects in actin filaments leading to sharp bends of the chain which act as semiflexible hinges. Talin produces drastic effects on the time course of viscoelasticity during actin polymerization. It promotes the rapid formation of short filament fragments (∼ 1 gmm, within time scales of min) which anneal slowly into long filaments (within several hours), most probably by fusion. The viscoelasticity depends on the coexistence of short and very long filaments indicated by the elongation of the rubber plateau. The most dramatic effect is a reduction of the ratio of the terminal ('Ed) to the Rouse relaxation time of τi by more than one order of magnitude (τdi = 100 compared to ratio τd/i = 2000 for pure actin). From this it is concluded that talin causes a remarkable decrease in the effective segment length of the macromolecule and, thus induces an increase in chain stiffness. Vinculin on the other hand shows no such effect.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bird RB, Curtiss CF, Armstrong RC, Hassanger O (1987) Kinetic theory: Dynamics of polymer liquids. Vol 2, 2nd edn. Wiley, New York

    Google Scholar 

  • Bradford M (1976) A rapid and sensitive method for the quantitation of μg quantities of protein utilizing the principle of proteindye binding. Anal Biochem 72:248–254

    Article  CAS  PubMed  Google Scholar 

  • Collier NC, Wang K (1982) Human platelet P235: A high MT protein which restricts the length of actin filaments. FEBS Lett 143:205–210

    Google Scholar 

  • Dietrich C, Goldman WH, Sackmann E, Isenberg G (1993) Interaction of NBD-talin with lipid monolayers: A film balance study. FEBS Lett 324:37–40

    Google Scholar 

  • Doi M, Edwards SF (1986) The theory of polymers dynamics. Oxford University Press, Oxford

    Google Scholar 

  • Farge E, Maggs AC (1993) Dynamic scattering from semiflexible polymers. Macromolecules (in press)

  • Ferry JD (1980) Viscoelastic properties of polymers. 3rd edn. Wiley, New York

    Google Scholar 

  • Gennes PG de (1971) Reptation of a polymer chain in the presence of fixed obstacles. J Chem Phys 55:572–579

    Google Scholar 

  • Goldmann WH, Isenberg G (1991) Kinetic determination of talinactin binding. Biochem Biophys Res Commun 178:718–723

    Google Scholar 

  • Goldmann WH, Niggli V, Kaufmann S, Isenberg G (1992) Probing actin and liposome interaction of talin and talin-vinculin complexes: A kinetic, thermodynamic and lipid labeling study. Biochemistry 31:7665–7671

    Google Scholar 

  • Graessley WW (1974) The entanglement concept in polymer rheology. Adv Polymer Sci 16:1–200

    Google Scholar 

  • Isenberg G, Goldmann WH (1992) Actin-membrane coupling: a role for talin. J Muscle Res Cell Mot 13:587–589

    Google Scholar 

  • Janmey PA, Hvidt S, Lamb J, Stossel TP (1990) Resemblance of actin-binding protein/actin gels to covalently crosslinked networks. Nature (Lend.) 345:89–92

    Google Scholar 

  • Käs J, Strey H, Bärmann M, Sackmann E (1993) Direct measurement of the wave vector dependent bending stiffness of freely flickering actin filaments. Europhys Lett 21:865–870

    Google Scholar 

  • Kaufmann S, Piekenbrock TH, Goldmann WH, Bärmann M, Isenberg G (1991) Talin binds to actin and promotes filament nucleation. FEBS Lett 284:187–191

    Google Scholar 

  • Kaufmann S, Käs J, Goldmann WH, Sackmann E, Isenberg G (1992) Talin anchors and nucleates actin filaments at lipid membranes: A direct demonstration. FEBS Lett 314:203–205

    Google Scholar 

  • Korn ED, Carlier MF, Pantolini D (1987) Actin polymerization and ATP-hydrolysis. Science 238:638–644

    Google Scholar 

  • Lagowski JB, Noolandi J, Nickel B (1991) Stiff chain model - functional integral approach. J Chem Phys 95:1266–1269

    Google Scholar 

  • MacLean-Fletcher SD, Pollard TD (1980) Identification of a factor in conventional muscle actin preparations which inhibits actin filament self-association. Biochem Biophys Res Commun 96:18–27

    Google Scholar 

  • Müer O, Gaub HE, Bärmann M, Sackmann E (1991) Viscoelastic moduli of sterically and chemically cross-linked actin networks in the dilute to semidilute regime: Measurements by an oscillating disk rheometer. Macromolecules 24:3111–3120

    Google Scholar 

  • Piekenbrock TH (1991) Untersuchung von Aktinnetzwerken and deren Wechselwirkungen mit aktinbindenden Proteinen mittels dynamischer Lichtstreuung and anderer optischer Methoden. PhD thesis. Technical University of Munich, Germany

    Google Scholar 

  • Piekenbrock TH, Sackmann E (1992) Quasielastic light scattering study of thermal excitations of F-actin solutions and of growth kinetics of actin filaments. Biopolymers 32:1471–1489

    Google Scholar 

  • Pollard TD, Cooper JA (1986) Actin and actinbinding proteins. A critical evaluation of mechanisms and function. Annu Rev Biochem 55:987–1035

    Google Scholar 

  • Richter D, Hayter JB, Mezei F, Ewen B (1978) Dynamic scaling in polymer solutions investigated by the neutron spin-echo technique. Phys Rev Lett 41:1484–1487

    Google Scholar 

  • Sato M, Schwarz WH, Pollard TD (1987) Dependence of the mechanical properties of actin/a-actinin gels on deformation rate. Nature (Loud) 325:828–830

    Google Scholar 

  • Schmidt CF, Bärmann M, Isenberg G, Sackmann E (1989) Chain dynamics, mesh size and diffusive transport in networks of polymerized actin. A quasielastic light scattering and microfluorescence study. Macromolecules 22:3638–3648

    Google Scholar 

  • Spudich JA, Watts S (1971) The regulation of rabbit skeletal muscle contraction. J Biol Chem 246:4866–4871

    Google Scholar 

  • Verde F, Dogterom M, Stelzer E, Karsenti E, Leibler S (1992) Control of microtubule dynamics and length by cyclin A- and cyclin B-dependent kinases in xenopus egg extracts. J Cell Biol 118:1097–1108

    Google Scholar 

  • Wegner A (1982) Kinetic analysis of actin assembly suggests that tropomyosin inhibits spontaneous fragmentation of actin filaments. J Mol Biol 161:217–227

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Correspondence to: E. Sackmann

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ruddies, R., Goldmann, W.H., Isenberg, G. et al. The viscoelasticity of entangled actin networks: the influence of defects and modulation by talin and vinculin. Eur Biophys J 22, 309–321 (1993). https://doi.org/10.1007/BF00213554

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00213554

Key words

Navigation