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Mathematical models of dose fractioning based on LQ functions: Population tissue models

  • Research, Design, And Technology
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Biomedical Engineering Aims and scope

Conclusions

1. A method of target-oriented construction of interconnected population and tissue models designed to describe tolerant levels of exposure of organs and tissues is suggested for various schemes of dose fractioning.

2. Single tolerant dose of radiation is suggested as a significant model parameter. The use of single tolerant dose avoids various artificial model parameters intended to describe tolerant levels of exposure of organs and tissues (e.g., ETD in [4], etc.).

3. A mathematical model (equation) is suggested to describe slow and fast stages of cell population recovery. This equation allows easy transition from population to tissue models and back because it connects the total tolerant dose, single tolerant dose, single dose, the number of fractions, and duration of radiation therapy.

4. Analysis of the PT5 model showed that it can be successfully used for assessing tolerant levels of exposure of normal organs and tissues and suppression epidermoid carcinoma.

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References

  1. L. Ya. Klepper, Formation of Dose Fields by Remote Radiation Sources [in Russian], Moscow (1986).

  2. L. Ya. Klepper, Med. Radiol., No. 1, 70–73 (1988).

  3. L. Ya. Klepper, Formation of Dose Fields by Radioactive Sources of Radiation [in Russian], Moscow (1993).

  4. G. W. Barendsen, Int. J. Radiat. Oncol. Biol. Phys.,8, 1981–1997 (1982).

    Google Scholar 

  5. K. H. Chadwick and H. P. Leenhouts, Phys. Med. Biol.,18, 78–87 (1973).

    Article  Google Scholar 

  6. L. Cohen, Brit. J. Radiol.,41, 522 (1968).

    Google Scholar 

  7. F. Ellis, Clin. Radiol.,20, No. 1, 1–7 (1969).

    Article  Google Scholar 

  8. A. M. Kellerer and H. H. Rossi, Radiat. Res.,47, 14–34 (1971).

    Google Scholar 

  9. C. Orton and F. Ellis, Brit. J. Radiol.,46, No. 457, 529–537 (1973).

    Google Scholar 

  10. C. Orton, Proc. Summer School of American Association of Physicists in Medicine (AAPM),19, 334–389 (1990).

    Google Scholar 

  11. R. Wideroe, Acta Radiol. (Stockh.),4, No. 4, 257–278 (1966).

    Google Scholar 

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Authors and Affiliations

  1. Central Institute of Mathematical Economics, Russian Academy of Sciences, Moscow

    L. Ya. Klepper

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  1. L. Ya. Klepper
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Klepper, L.Y. Mathematical models of dose fractioning based on LQ functions: Population tissue models. Biomed Eng 34, 12–16 (2000). https://doi.org/10.1007/BF02385219

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  • DOI: https://doi.org/10.1007/BF02385219

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