Skip to main content
SpringerLink
Log in

A problem in radiobiology: Diffusion and recombination of ions

  • Published:
The bulletin of mathematical biophysics Aims and scope Submit manuscript

Abstract

A perturbation treatment is given for the cylindrically symmetrical distribution of ions or their products resulting from the passage of a single ionizing particle, and taking into account ion diffusion and recombination. The results apply to cases in which diffusion is more important than recombination.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature

  • Carslaw, H. S. and J. C. Jaeger. 1947.Conduction of Heat in Solids. Oxford: The Clarendon Press.

    MATH  Google Scholar 

  • Gerritsen, A. N. 1948. “Ionization by Alpha-particles in Liquids at Low Temperatures.”Physica,14, 381–424.

    Article  Google Scholar 

  • Jaffé, G. 1913. “Zur Theorie der Ionisation in Kolonnen.”Ann. der. Physik (4),42, 303–341.

    MATH  Google Scholar 

  • Jahnke, E. and F. Emde. 1943.Tables of Functions. New York: Dover Publications.

    MATH  Google Scholar 

  • Kara-Michailova, E. and D. E. Lea. 1940. “The Interpretation of Ionization Measurements in Gases at High Pressures”Proc. Camb. Phil. Soc.,36, 101–126.

    Article  Google Scholar 

  • Lea, D. E. 1947. “The Action of Radiations on Dilute Aqueous Solutions: The Spatial Distribution ofH andOH.”Brit. Jour. Radiology, Suppl. No. 1 (Certain Aspects of the Action of Radiation on Living Cells), 59–63.

  • Mathematical Tables Project. 1940.Tables of Sine, Cosine and Exponential Integrals, Vols. I and II. New York: Works Project Admin.

    Google Scholar 

  • Powell, E. O. 1943. “An Integral Related to the Radiation Integrals.”Phil. Mag., (7),34, 600–607.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Committee on Mathematical Biology, The University of Chicago, Chicago, USA

    H. G. Landau

Authors
  1. H. G. Landau
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Landau, H.G. A problem in radiobiology: Diffusion and recombination of ions. Bulletin of Mathematical Biophysics 12, 27–34 (1950). https://doi.org/10.1007/BF02477342

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02477342

Keywords

Search

Navigation