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Functional form comparison between the population and the individual Poisson based TCP models Cover

Functional form comparison between the population and the individual Poisson based TCP models

Open Access
|Aug 2007

References

  1. Munro TR, Gilbert CW. The relation between tumour lethal doses and the radiosensitivity of tumour cells.1961;: 246-51.
  2. Fenwick JD. Predicting the radiation control probability of heterogeneous tumour ensembles: data analysis and parameter estimation using a closed-form expression.1998;: 2159-78.
  3. Goitein M, Niemierko A, Okunieff P. The probability of controlling an inhomogeneously irradiated tumour: A strategem for improving tumour control through partial tumour boosting. Presented at the 19th L. H. Gray Conference: Quantitative Imaging in Oncology, Newcastle, UK; 1995.
  4. Roberts SA, Hendry JH. A realistic closed-form radiobiological model of clinical tumor-control data incorporating intertumor heterogeneity.1998;: 689-99.
  5. Webb S, Nahum AE. A model for calculating tumour control probability in radiotherapy including the effects of inhomogeneous distributions of dose and clonogenic cell density.; 1993;: 653-66.
  6. Warkentin B, Stavrev P, Stavreva NA, Fallone BG. Limitations of a TCP model incorporating population heterogeneity.2005;: 3571-88.
  7. Brenner DJ. Dose, volume, and tumor-control predictions in radiotherapy.1993;: 171-9.
  8. D'Souza WD, Thames HD, Kuban DA. Dose-volume conundrum for response of prostate cancer to brachytherapy: summary dosimetric measures and their relationship to tumor control probability.2004;: 1540-8.
  9. Fowler J, Chappell R, Ritter M. Is alpha/beta for prostate tumors really low?2001;: 1021-1031.
  10. Roberts SA, Hendry JH. The delay before onset of accelerated tumour cell repopulation during radiotherapy: a direct maximum-likelihood analysis of a collection of worldwide tumour-control data.1993;: 69-74.
  11. Carlone M, Warkentin B, Stavrev P, Fallone BG. Fundamental form of the population TCP model in the limit of large heterogeneity.2006;: 1634-42.
  12. Stavrev P, Stavreva N, Niemierko A, Goitein M. Generalization of a model of tissue response to radiation based on the idea of functional subunits and binomial statistics.2001;: 1501-18.
  13. Dale RG. Radiobiological assessment of permanent implants using tumor repopulation factors in the linear-quadratic model.1989;: 241-4.
  14. Dale RG. Time-dependent tumour repopulation factors in linear-quadratic equations—implications for treatment strategies.1989;371-81.
  15. Fowler JF. The linear-quadratic formula and progress in fractionated radiotherapy.1989;679-94.
  16. Maciejewski B, Withers HR, Taylor JM, Hliniak A. Dose fractionation and regeneration in radiotherapy for cancer of the oral cavity and oropharynx: tumor dose-response and repopulation.1989: 831-43.
  17. Maciejewski B, Withers HR, Taylor JM, Hliniak A. Dose fractionation and regeneration in radiotherapy for cancer of the oral cavity and oropharynx. Part 2. Normal tissue responses: acute and late effects.1990;: 101-11.
  18. Taylor JM, Withers HR, Mendenhall WM. Dose-time considerations of head and neck squamous cell carcinomas treated with irradiation.1990;: 95-102.
  19. Thames HD, Bentzen SM, Turesson I, Overgaard M, Van den Bogaert W. Time-dose factors in radiotherapy: a review of the human data.1990;: 219-35.
  20. Travis EL, Tucker SL. Isoeffect models and fractionated radiation therapy.1987;: 283-7.
  21. Tucker SL, Travis EL. Comments on a time-dependent version of the linear-quadratic model.1990;: 155-3.
  22. Van Dyk J, Mah K, Keane TJ. Radiation-induced lung damage: dose-time-fractionation considerations.1989;: 55-69.
  23. van de Geijn J. Incorporating the time factor into the linear-quadratic model.1989;: 296-8.
  24. Wheldon TE, Amin AE. The Linear Quadratic Model.1988;: 700-2.
  25. Withers HR, Taylor JM, Maciejewski B. The hazard of accelerated tumor clonogen repopulation during radiotherapy.1988;: 131-46.
  26. Yaes RJ. Linear-quadratic model isoeffect relations for proliferating tumor cells for treatment with multiple fractions per day.1989;: 901-5.
  27. Hanin LG, Zaider M, Yakovlev AY. Distribution of the number of clonogens surviving fractionated radiotherapy: a long-standing problem revisited.2001;: 205-13.
  28. Kendal WS. A closed-form description of tumour control with fractionated radiotherapy and repopulation.1998;: 207-10.
  29. Yakovlev A. Comments on the distribution of clonogens in irradiated tumors.1993: 117-22.
  30. Zaider M, Minerbo GN. Tumour control probability: a formulation applicable to any temporal protocol of dose delivery.2000;: 279-93.
  31. Zaider M, Zelefsky MJ, Hanin LG, Tsodikov AD, Yakovlev AY, Leibel SA. A survival model for fractionated radiotherapy with an application to prostate cancer.2001;: 2745-58.
  32. Hanin LG. A stochastic model of tumor response to fractionated radiation: limit theorems and rate of convergence.2004;: 1-17.
  33. Brahme A. Dosimetric precision requirements in radiation therapy.1984;: 379-91.
  34. Kallman P, Agren A, Brahme A. Tumour and normal tissue responses to fractionated non-uniform dose delivery.1992;: 249-62.
  35. Bentzen SM, Tucker SL. Quantifying the position and steepness of radiation dose-response curves.1997;: 531-42.
  36. Okunieff P, Morgan D, Niemierko A, Suit HD. Radiation dose-response of human tumors.1995;: 1227-37.
  37. Warkentin B, Stavrev P, Stavreva N, Field C, Fallone BG. A TCP-NTCP estimation module using DVHs and known radiobiological models and parameter sets.2004;: 50-63.
  38. Niemierko A. Radiobiological models of tissue response to radiation in treatment planning systems.1998;: 140-3.
  39. Choi B, Deasy JO. The generalized equivalent uniform dose function as a basis for intensity-modulated treatment planning.; 2002;: 3579-89.
  40. Wu Q, Mohan R, Niemierko A, Schmidt-Ullrich R. Optimization of intensity-modulated radiotherapy plans based on the equivalent uniform dose.2002;: 224-35.
DOI: https://doi.org/10.2478/v10019-007-0016-7 | Journal eISSN: 1581-3207 | Journal ISSN: 1318-2099
Language: English
Page range: 90 - 98
Published on: Aug 6, 2007
Published by: Association of Radiology and Oncology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2007 Colleen Schinkel, Nadia Stavreva, Pavel Stavrev, Marco Carlone, B. Fallone, published by Association of Radiology and Oncology
This work is licensed under the Creative Commons License.