Skip to main content
Log in

Orientational steering in enzyme-substrate association: Ionic strength dependence of hydrodynamic torque effects

  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

The effect of hydrodynamic torques on the association rate constants for enzyme-ligand complexation is investigated by Brownian dynamics simulations. Our hydrodynamic models of the enzyme and ligand are composed of spherical elements with friction forces acting at their centers. A quantitative measure of hydrodynamic torque orientational effects is introduced by choosing, as a reference system, an enzyme-ligand model with the same average hydrodynamic interactions but without orientational dependence. Our simple models show a 15% increase in the rate constant caused by hydrodynamic torques at physiological ionic strength. For more realistic hydrodynamic models, which are not computationally feasible at present, this effect is probably higher. The most important finding of this work is that hydrodynamic complementarity in shape (i.e. like the fitting together of pieces of a puzzle) is most effective for interactions between molecules at physiological ionic strength.

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

  • Allison SA, Srinivasan N, McCammon JA, Northrup SH (1984) Diffusioncontrolled reactions between a spherical target and dumbell dimer by brownian dynamics simulation. J Phys Chem 88:6152–6157

    Google Scholar 

  • Antosiewicz J, McCammon JA (1995) Electrostatic and hydrodynamic orientational steering effects in enzyme-substrate association. Biophys J 69:57–65

    Google Scholar 

  • Brune D, Kim S (1994) Hydrodynamic steering effects in protein association. Proc Natl Acad Sci USA 91:2930–2934

    Google Scholar 

  • Davis ME, McCammon JA (1990) Electrostatics in biomolecular structure and dynamics. Chem Rev 90:509–521

    Google Scholar 

  • Davis ME, Madura JD, Luty BA, McCammon JA (1991) Electrostatics and diffusion of molecules in solution: simulations with the University of Houston Brownian Dynamics program. Comp Phys Commun 62:187–197

    Google Scholar 

  • Ermak DL, McCammon JA (1978) Brownian dynamics with hydrodynamic interactions. J Chem Phys 69:1352–1360

    Google Scholar 

  • Garcia de la Torre J, Bloomfield VA (1981) Hydrodynamic properties of complex, rigid, biological macromolecules: theory and applications. Q Rev Biophys 14:81–139

    Google Scholar 

  • Head-Gordon T, Brooks CL (1987) The role of electrostatics in the binding of small ligands to enzymes. J Phys Chem 91:3342–3349

    Google Scholar 

  • Luty BA, Wade RC, Madura JD, Davis ME, Briggs JM, McCammon JA (1993) Brownian dynamics simulations of diffusional encounters between triose phosphate isomerase and glyceraldehyde phosphate: Electrostatic steering of glyceraldehyde phosphate. J Phys Chem 97:233–237

    Google Scholar 

  • Madura JD, Gilson, MEDMK, Wade RC, Luty BA, McCammon JA (1994) Biological applications of electrostatic calculations and brownian dynamics simulations. Rev Comput Chem 5:229–267

    Google Scholar 

  • McCammon JA, Harvey SC (1987) Dynamics of proteins and nucleic acids. Cambridge Univ. Press, Cambridge

    Google Scholar 

  • Northrup SH, Allison SA, McCammon JA (1984) Brownian dynamics simulation of diffusion-influence bimolecular reactions. J Chem Phys 80:1517–1524

    Google Scholar 

  • Northrup SH, Boles JO, Reynolds JCL (1987) Electrostatic effects in the brownian dynamics of association and orientation of heme proteins. J Phys Chem 91:5991–5998

    Google Scholar 

  • Oseen CW (1927) Neuere Methoden and Ergebnisse in der Hydrodynamik. Akademische Verlagsgesellschaft M B H, Leipzig

    Google Scholar 

  • Sharp KA (1994) Electrostatic interactions in macromolecules. Curr Opinion Struct Biol 4:234–239

    Google Scholar 

  • Sharp KA, Honig B (1990) Electrostatic interactions in macromolecules. Theory and applications. Annu Rev Biophys Chem 19:301–332

    Google Scholar 

  • Wade RC, Luty BA, Demchuk E, Madura JD, Davis ME, Briggs JM, McCammon JA (1994) Simulation of enzyme-substrate encounter with gated active sites. Nature Struct Biol 1:65–69

    Google Scholar 

  • Warwicker J, Watson HC (1982) Calculation of the electric potential in the active site cleft due to α-helix dipoles. J Mol Biol 157:671–679

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Correspondence to: J.M. Briggs

Rights and permissions

Reprints and permissions

About this article

Cite this article

Antosiewicz, J., Briggs, J.M. & McCammon, J.A. Orientational steering in enzyme-substrate association: Ionic strength dependence of hydrodynamic torque effects. Eur Biophys J 24, 137–141 (1996). https://doi.org/10.1007/BF00180270

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00180270

Key words

Navigation