Cell-survival probability at large doses: An alternative to the linear-quadratic model

Physics in Medicine and Biology

Volumn 55, Issue 16, 2010, Pages 4687-4702

  Hanin, L G ^a   Zaider, M ^b  

^a Nucl Eng Idaho State University   (United States)

^b MEMORIAL SLOAN KETTERING CANCER CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; BIOLOGICAL MODEL; CELL SURVIVAL; HUMAN; IONIZING RADIATION; METHODOLOGY; NORMAL DISTRIBUTION; POISSON DISTRIBUTION; PROBABILITY; RADIATION DOSE; RADIOMETRY; REPRODUCIBILITY; STATISTICAL MODEL;

ALGORITHMS; CELL SURVIVAL; HUMANS; LINEAR MODELS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; NORMAL DISTRIBUTION; POISSON DISTRIBUTION; PROBABILITY; RADIATION TOLERANCE; RADIATION, IONIZING; RADIOMETRY; REPRODUCIBILITY OF RESULTS;

EID: 78149356743     PISSN: 00319155     EISSN: 13616560     Source Type: Journal    
DOI: 10.1088/0031-9155/55/16/005     Document Type: Article

References (30)

1. Benedict S H 1997 The biological effectiveness of intermittent irradiation as a function of overall treatment time: development of correction factors for linac-based stereotactic radiotherapy Int. J. Radiat. Oncol. Biol. Phys. 37 765-9
2. Brenner D J 2008 The linear-quadratic model is an appropriate methodology for determining isoeffective doses at large doses per fraction Semin. Radiat. Oncol. 18 234-9
3. Edwards A A 1979 Radiation induced chromosome aberrations and the Poisson distribution Radiat. Environ. Biophys. 16 89-100
4. Frankenberg-Schwager M 1989 Review of repair kinetics for DNA damage induced in eukaryotic cells in vitro by ionizing radiation Radiother. Oncol. 14 307-20
5. Guenther K, Schulz W and Leistnet W 1977 Microdosimetric approach to cell survival curves in dependence of radiation quality Stud. Biophys. 61 163-209
6. Jackson W D and Barber H N 1958 Patterns of chromosome breakage after irradiation and ageing Heredity 12 1-25
7. Kellerer A M 1973 Microdosimetry and the dispersion of chromosome aberrations 223-44 Annual Report on Research Project COO-3243-2
8. Kellerer A M 1985 Fundamentals of microdosimetry The Dosimetry of Ionizing Radiations ed K Kase, B Bjangard and F Attix (New York: Academic) pp 77-162
9. Kellerer A M and Hug O 2009 Theory of dose-effect relations Encyclopedia of Medical Radiology (Berlin: Springer) pp 1-42
10. Kellerer A M and Rossi H H 1978 Generalized formulation of dual radiation action Radiat. Res. 75 471-88
11. Kirkpatrick J P, Meyer J J and Marks L B 2008 The linear-quadratic model is inappropriate to model high dose per fraction effects in radiosurgery Semin. Radiat. Oncol 18 240-3
12. Kliauga P and Dvorak R 1978 Microdosimetric measurements of ionization by monoenergetic photons Radiat. Res. 73 1-20
13. Lea D E and Catcheside D G 1942 The mechanism of the induction by radiation of chromosome aberrations in tradescantia J. Genetic. 44 216-45
14. Lieberman-Aiden E et al 2009 Comprehensive mapping of long-range interactions reveals folding principles of the human genome Science 326 289-93
15. Mateos-Langerak Bohn M, de Leeuw W, Giromus O, Manders E M M, Verschure P J, Indemans M H G, Gierman H J, Heermann D W, van Driel R and Goetze S 2009 Spatially confined folding of chromatin in the interphase nucleus Proc. Natl Acad. Sci. USA 106 3812-7
16. Mu X, Löfroth P O, Karlsson M and Zackrisson B 2003 The effect of fraction timein intensity modulated radiotherapy: theoretical and experimental evaluation of an optimisation problem Radiother. Oncol. 68 181-7
17. Resnick S I 2005 A Probability Path (Boston, MA: Birkhauser)
18. Rossi H H and Zaider M 1981 Saturation effects for sparsely ionizing particles Radiat. Res. 87 405
19. Rossi H H and Zaider M 1992 Compound dual radiation action: 1. General aspects Radiat. Res. 132 178-83
20. Rossi H H and Zaider M 1996 Microdosimetry and Its Applications (Berlin: Springer)
21. Sachs R K, Hahnfeld P and Brenner D J 1997 The link between low-LET dose-response relations and the underlying kinetics of damage production/repair/misrepair Int. J. Radiat. Biol. 72 351-74
22. Sax K 1938 Chromosome aberrations induced by x-rays Genetics 23 494-516
23. Schneider D O and Whitmore G F 1963 Comparative effects of neutrons and x rays on mammalian cells Radiat. Res. 18 286-306
24. Scholz M, Kellerer A M, Kraft-Weyrather W and Kraft G 1997 Computation of cell survival in heavy ion beams for therapy: the model and its approximation Radiat. Environ. Biophys. 36 59-66
25. Taylor H M and Karlin S 1998 An Introduction to Stochastic Modeling 3rd edn (San Diego, CA: Academic)
26. Timmerman R 2008 An overview of hypofractionation and introduction to this issue of seminars in radiation oncology Semin. Radiat. Oncol. 18 215-22
27. Zaider M 1998a There is no mechanistic basis for the use of the linear-quadratic expression in cellular survival analysis Med. Phys. 25 791-2
28. Zaider M 1998b Sequel to the discussion concerning the mechanistic basis of the linear quadratic formalism Med. Phys. 25 2074-5
29. Zaider M and Minerbo G N 1993 A mathematical model for cell-cycle progression under continuous low-dose-rate irradiation Radiat. Res. 133 20-6
30. Zaider M, Wuu C S and Minerbo G N 1996 The combined effects of sublethal damage repair, cellular repopulation and redistribution in the mitotic cycle: 1. Survival probabilities after exposure to radiation Radiat. Res. 145 457-66