Radiation and Environmental Biophysics

, Volume 12, Issue 4, pp 321–335 | Cite as

Concepts of microdosimetry

III. Mean values of the microdosimetric distributions
  • A. M. Kellerer
  • D. Chmelevsky
Article

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) orf1(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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 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)Google Scholar
  2. 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)Google Scholar
  3. 3.
    Caswell, R. S.: Deposition of energy by neutrons in spherical cavities. Radiat. Res.27, 92–107 (1966)Google Scholar
  4. 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)Google Scholar
  5. 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. 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)Google Scholar
  7. 7.
    Glass, W. A., Roesch, W. C.: Measurement of ionization distributions in tissue-equivalent gas. Radiat. Res.49, 477–494 (1972)Google Scholar
  8. 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)Google Scholar
  9. 9.
    ICRU: Linear Energy Transfer, Report 16. Washington, D.C.: International Commission of Radiation Units and Measurements 1970Google Scholar
  10. 10.
    ICRU: Radiation Quantities and Units, Report 19. Washington, D.C.: International Commission of Radiation Units and Measurements 1971Google Scholar
  11. 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)Google Scholar
  12. 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. 13.
    Kellerer, A. M., Bell, W.: Theory of microdosimetry. In: Annual Report on Research Project, USAEC, NYO-2740-7, 73–90 (1970)Google Scholar
  14. 14.
    Kellerer, A. M., Chmelevsky, D.: Concepts of microdosimetry. I. Quantities. Radiat. and Environm. Biophysics12, 61–69 (1975)Google Scholar
  15. 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. 16.
    Kellerer, A. M., Chmelevsky, D.: Criteria for the applicability of LET. Radiat. Res.63, 226–234 (1975)Google Scholar
  17. 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)Google Scholar
  18. 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)Google Scholar
  19. 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. 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)Google Scholar
  21. 21.
    Kendall, M. G., Moran, P. A. P.: Geometrical probability. New York: Hafner 1963Google Scholar
  22. 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)Google Scholar
  23. 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)Google Scholar
  24. 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)Google Scholar
  25. 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)Google Scholar
  26. 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)Google Scholar
  27. 27.
    Rossi, H. H.: Energy distribution in the absorption of radiation. Advanc. biol. med. Phys.11, 27–85 (1967)Google Scholar
  28. 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 1968Google Scholar
  29. 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

Copyright information

© Springer-Verlag 1975

Authors and Affiliations

  • A. M. Kellerer
    • 1
    • 2
  • D. Chmelevsky
    • 1
  1. 1.Department of Radiology, Radiological Research Laboratory, College of Physicians and SurgeonsColumbia UniversityNew York
  2. 2.Institut für Med. Strahlenkunde der UniversitätWürzburgFederal Republic of Germany
  3. 3.Centre d'Etudes Nucléaires, DPr/SpsFontenay-aux-RosesFrance

Personalised recommendations