Skip to main content
Log in

On the origin of fractal scaling mechanisms in ion channel gating kinetics

  • Short Communication
  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Abstract

By applying the Poisson summation formula to the Markovian chain result for protein gating kinetics, we derive a fractal scaling law that indicates something about the origin of the power-law behavior. As a by-product we obtain an amplitude to rate correlation that bridges the gap between Markov and fractal gating models. The predictions of the model will be compared with experimental data sets.

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.

References

  1. Nonnenmacher TF (1987) Biol Cybern 56:155

    PubMed  Google Scholar 

  2. Nonnenmacher TF, Nonnenmacher DJF (1988) In: Albeverio S, Merlini D (eds) Stochastic Processes — Physics and Geometry. Proc of the 2 Ancona/Como Conference, World Scientific, July

  3. Nonnenmacher TF (1989) Eur Biophys J 16:375

    PubMed  Google Scholar 

  4. Blatz AL, Magleby KL (1986) J Physiol 378:141

    PubMed  Google Scholar 

  5. McManus OB, Magleby KL (1988) J Physiol 402:79

    PubMed  Google Scholar 

  6. Millhauser GL, Salpeter EE, Oswald RE (1988) Biophys J 54:1165

    PubMed  Google Scholar 

  7. Liebovitch LS, Fishbarg J, Koniarek JP (1987) Math Biosci 84:37

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nonnenmacher, T.F. On the origin of fractal scaling mechanisms in ion channel gating kinetics. Colloid & Polymer Sci 267, 753–755 (1989). https://doi.org/10.1007/BF01524380

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01524380

Key words

Navigation