Application of unified methodology for analytical calculation of absorbed dose gamma-radiation fractions to cylinder-shape biological objects

«Radiation and Risk», 2023, vol. 32, No. 1, pp.61-71

DOI: 10.21870/0131-3878-2023-32-1-61-71

Authors

Sazykina T.G. – Chief Researcher, D. Sc., Phys.-Math.
Kryshev A.I. – Head of Lab., D. Sc., Biol. RPA “Typhoon”. Contacts: 4 Pobedy str., Obninsk, Kaluga region, Russia, 249038. Tel.: +7(484)39-7-16-89; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it. .
Research and Production Association “TYPHOON”, Obninsk

Abstract

The paper presents results of application of unified methodology for analytical evaluation of absorbed radiation fractions for dosimetry of cylinder-shape bioobjects following the internal uniform contamination with emitted photons. New models have been used for calculation of photon fractions dose absorbed by various non-human biological objects of various cylinder configurations and sizes. Evaluated absorbed photon radiation doses are in accordance with independently tested data, obtained by numeric integration of basic absorbed photon radiation dose with account of the cylinder volume. The theoretical interpretation of used calculation formulae based on the theory of middle chords in convex bodies is given in the paper. An advantage of the unified method is the possibility to use simple algebraic formulae for calculating absorbed radiation dose fractions in convex bodies (spheres, ellipsoids, cylinders) without the use of Monte Carlo computer programs and adjustment parameters. In contrast to the known European computer complex ERICA Tool the developed method of calculation of radiation doses to cylinder shape bio-objects may be also used for dosimetry of non-human species, for express-assessment of radioecological situation in radionuclide-contami-nated areas, as well as for radiation protection of biota.

Key words
radiation dosimetry, internal exposure, photon absorbed fractions, Monte Carlo, soft-tissue cylinders, unified methodology, rescaling, unitless effective radius, analytical model, dose assessment, nuclear medicine, biota, environment.

References

1. Sazykina T.G., Kryshev A.I. Model for calculating energy absorption in environmental objects from incorpo-rated sources of monoenergetic electrons. Radiatsiya i risk – Radiation and Risk, 2021, vol. 30, no. 2, pp. 113-122. (In Russian).

2. Sazykina T.G., Kryshev A.I. A new analytical method for estimating electron-absorbed fractions in soft-tissue biological volumes. Radiat. Environ. Biophys., 2021, vol. 60, no. 1, pp. 141-149.

3. Sazykina T.G., Kryshev A.I. A unified formalism for estimating photon absorbed fractions in spherical biovolumes: analytical equations without fitting parameters. Biomed. Phys. Eng. Express, 2022, vol. 8, no. 3, pp. 035010. DOI: 10.1088/2057-1976/ac5b8d.

4. Sazykina T.G., Kryshev A.I. Development and testing a model of energy absorption in biological objects from incorporated photon emitters. Radiatsiya i risk – Radiation and Risk, 2022, vol. 31, no. 2, pp. 48-61. (In Russian).

5. Sazykina T.G. Using the unified methodology for analytical calculating absorbed fractions in bio-objects composed from various materials. Radiatsiya i risk – Radiation and Risk, 2022, vol. 31, no. 4, pp. 148-160. (In Russian).

6. Brown J.E., Alfonso B., Avila R., Beresford N.A., Copplestone D., Hosseini A. A new version of the ERICA Tool to facilitate impact assessments of radioactivity on wild plants and animals. J. Environ. Radioact., 2016, vol. 153, pp. 141-148.

7. Hubbell J.H., Seltzer S.M. Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients (version 1.4, 2004). Online database. Gaithersburg, MD, National Institute of Standards and Technology, 2004. Available: http://physics.nist.gov/ (Accessed 28.04.2022).

8. Mashkovich V.P., Kudryavtseva A.V. Protection from ionizing radiation. Reference book. Moscow, Energoatomizdat, 1995. 494 p. (In Russian).

9. Widman J.C., Powsner E.R. Energy absorption in cylinders containing a uniformly distributed source. J. Nucl. Med., 1967, vol. 8, no. 3, pp. 179-186.

10. Focht E.F., Quimby E.H., Gershowitz M. Revised average geometric factors for cylinders in isotope dosage. Part 1. Radiology, 1965, vol. 85, pp. 151-152.

11. Hine G.J., Brownell G.L. Internally administrated radioisotopes. In: Radiation dosimetry. Chapter 17. New York, Academic Press, 1956, pp. 803-875.

12. Amato E., Lizio D., Baldari S. Absorbed fractions for photons in ellipsoidal volumes. Phys. Med. Biol., 2009, vol. 54, no. 20, pp. 479-487.

13. Kellerer A.M. Chord-length distributions and related quantities for spheroids. Radiat. Res., 1984, vol. 98, no. 3, pp. 425-437.

14. Kellerer A.M. Fundamentals of microdosimetry. In: The dosimetry of ionizing radiation. Volume 1. New York, Academic Press, 1985, pp. 78-164.

Full-text article (in Russian)