Skip to main content
SpringerLink
Log in

Concepts of microdosimetry

III. Mean values of the microdosimetric distributions

  • Published:
Radiation and Environmental Biophysics Aims and scope Submit manuscript

Summary

This is the last part of an investigation of microdosimetric concepts relevant to numerical calculations. A formula is derived which permits the computation of the dose average lineal energy,\(\bar yD\), or the corresponding average of the specific energy without the need to determine the probability distributions,f(y) orf 1(z). A detailed treatment is given for two cases of practical importance. The first case corresponds to spherical sites with diameters of the order of 1 µm and to neutrons up to 15 MeV. The second case corresponds to microscopic sites which are small enough that the change of the stopping power of charged particles traversing the site can be neglected.

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

References

  1. Baum, J. W.: Comparison of distance- and energy-restricted linear energy transfer for heavy particles with 0.25 to 1000 MeV/AMU. In: Proceedings of 2nd Symposium on Microdosimetry (Ebert, H. G.Ed.) pp. 653–666. Euratom, 4452 d-f-e (1970)

  2. Berger, M. J.: Some new transport calculations of the deposition of energy in biological materials by low-energy electrons. In: Proceedings of 4th Symposium on Microdosimetry (Ebert, H. G.,Ed.) pp. 695–715. Euratom 5122 d-e-f (1974)

  3. Caswell, R. S.: Deposition of energy by neutrons in spherical cavities. Radiat. Res.27, 92–107 (1966)

    Google Scholar 

  4. Caswell, R. S., Coyne, J. J.: Secondary particle spectra produced by neutron interactions with tissue. In: Proceedings of 1st Symposium on Neutron Dosimetry in Biology and Medicine (Burger, G., Schraube, H., Ebert, H. G.,Eds.), pp. 25–41. Euratom, 4896 d-f-e (1972)

  5. Chatterjee, A., Maccabee, H., Tobias, C.: Radial cut-off LET and radial cut-off dose calculations for heavy charged particles in water. Radiat. Res.54, 479–494 (1973)

    Google Scholar 

  6. Fain, J., Monnin, M., Montret, M.: Energy density deposited by a heavy ion around its path. In: Proceedings 4th Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 169–188. Euratom d-e-f (1974)

  7. Glass, W. A., Roesch, W. C.: Measurement of ionization distributions in tissue-equivalent gas. Radiat. Res.49, 477–494 (1972)

    Google Scholar 

  8. Gross, W., Rodgers, R. C.: Heavy ion event spectra. In: Proceedings of 3rd Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 873–887. Euratom 4810 d-f-e (1972)

  9. ICRU: Linear Energy Transfer, Report 16. Washington, D.C.: International Commission of Radiation Units and Measurements 1970

    Google Scholar 

  10. ICRU: Radiation Quantities and Units, Report 19. Washington, D.C.: International Commission of Radiation Units and Measurements 1971

    Google Scholar 

  11. Katz, R., Kobetich, E. J.: Particle tracks in condensed matter. In: Charged Particle Tracks in Solids and Liquids (Adams, G. E., Bewley, D. K., Boag, J. W.,Eds.), pp. 109– 119. The Institute of Physics and the Physical Society Conference Series No. 8, London (1970)

  12. Kellerer, A. M.: Considerations on the random traversal of convex bodies and solutions for general cylinders. Radiat. Res.47, 359–376 (1971)

    Google Scholar 

  13. Kellerer, A. M., Bell, W.: Theory of microdosimetry. In: Annual Report on Research Project, USAEC, NYO-2740-7, 73–90 (1970)

  14. Kellerer, A. M., Chmelevsky, D.: Concepts of microdosimetry. I. Quantities. Radiat. and Environm. Biophysics12, 61–69 (1975)

    Google Scholar 

  15. Kellerer, A. M., Chmelevsky, D.: Concepts of microdosimetry. II. Probability distributions of the microdosimetric variables. Radiat. and Environm. Biophysics12, 205–216 (1975)

    Google Scholar 

  16. Kellerer, A. M., Chmelevsky, D.: Criteria for the applicability of LET. Radiat. Res.63, 226–234 (1975)

    Google Scholar 

  17. Kellerer, A. M., Chmelevsky, D., Teedla, P.: Numerical derivation of microdosimetric quantities, II. Mean values of the dose distributions. In: Annual Report ERDA No. COO-3243-4, pp. 68–79 (1975)

  18. Kellerer, A. M., Rossi, H. H.: Summary of quantities and functions employed in microdosimetry. In: Proceedings 2nd Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 843–853. Euratom 4452 d-f-e (1970)

  19. Kellerer, A. M., Rossi, H. H.: The theory of dual radiation action. Current Topics in Radiat. Res.8, 85–158 (1972)

    Google Scholar 

  20. Kellerer, A. M., Rossi, H. H.: Numerical derivation of microdosimetric quantities, I. Mean values of the frequency distributions. In: Annual Report ERDA No. COO-3243-4. pp. 61–67 (1975)

  21. Kendall, M. G., Moran, P. A. P.: Geometrical probability. New York: Hafner 1963

    Google Scholar 

  22. Kliauga, P., Dvorak, R., Rossi, H. H., Kellerer, A. M.: Microdosimetric distributions as a function of radial distance from heavy ions. In: Annual Report ERDA No. 3243-4, p. 88–103 (1975)

  23. Kliauga, P., Rossi, H. H.: Microdosimetric distributions as a function of radial distance from heavy ion tracks. In: Proceedings 5th Symposium on Microdosimetry, Verbania, 1975 (in press)

  24. Paretzke, H. G., Leuthold, G., Burger, G., Jacobi, W.: Approaches to physical track structure calculations. In: Proceedings 4th Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 123–140. Euratom, 5122 d-e-f (1974)

  25. Paretzke, H. G.: Comparison of track structure calculations with experimental results. In: Proceedings 4th Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 141–168. Euratom, 5122 d-e-f (1974)

  26. Patau, J. P., Malbert, M., Terrissol, M., Commanay, L.: Études dosimétriques dans des cavités sphériques situées en milieu semi-infini, irradié par des électrons de 2 MeV. In: Proceedings 4th Symposium on Microdosimetry (Ebert, H. G.,Ed.), pp. 755–777. Euratom, 5122 d-e-f (1974)

  27. Rossi, H. H.: Energy distribution in the absorption of radiation. Advanc. biol. med. Phys.11, 27–85 (1967)

    Google Scholar 

  28. Rossi, H. H.: Microscopic energy distribution in irradiated matter. In: Radiation Dosimetry (Attix, F. H., Roesch, W. C.,Eds.), Vol. 1, pp. 43–92. New York: Academic Press 1968

    Google Scholar 

  29. Varma, M. N., Baum, J. W., Kuehner, A. V.: Energy deposition by heavy ions in a “tissue equivalent” gas. Radiat. Res.62, 1–11 (1975)

    Google Scholar 

Download references

Author information

Author notes

  1. D. Chmelevsky

    Present address: Centre d'Etudes Nucléaires, DPr/Sps, Fontenay-aux-Roses, France

Authors and Affiliations

  1. Department of Radiology, Radiological Research Laboratory, College of Physicians and Surgeons, Columbia University, New York

    A. M. Kellerer & D. Chmelevsky

  2. Institut für Med. Strahlenkunde der Universität, Versbacher Landstr. 5, D-8700, Würzburg, Federal Republic of Germany

    A. M. Kellerer

Authors
  1. A. M. Kellerer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. Chmelevsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This investigation was supported by Contract AT(11-1)3243 from the United States Atomic Energy Commission and Public Health Service Research Grants No. CA 12536 and CA 15307 from the National Cancer Institute.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kellerer, A.M., Chmelevsky, D. Concepts of microdosimetry. Radiat Environ Biophys 12, 321–335 (1975). https://doi.org/10.1007/BF01323420

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01323420

Keywords

Search

Navigation