Seminars in Radiation Oncology
Volume 18, Issue 4 , Pages 240-243 , October 2008

The Linear-Quadratic Model Is Inappropriate to Model High Dose per Fraction Effects in Radiosurgery

References 

  1. Lea DE, Catcheside DG. The mechanism of the induction by radiation of chromosome aberrations in Tradescantia. J Genet. 1942;44:216–245
  2. Lea DE. Actions of Radiation on Living Cells. London: Cambridge University Press; 1955;
  3. Douglas BG, Fowler JF. The effect of multiple small doses of X rays on skin reactions in the mouse and a basic interpretation. Radiat Res. 1976;66:401–426
  4. Barendsen GW. Dose fractionation, dose rate and iso-effect relationships for normal tissue responses. Int J Radiat Oncol Biol Phys. 1982;8:1981–1997
  5. Dale RG. The application of the linear-quadratic dose-effect equation to fractionated and protracted radiotherapy. Br J Radiol. 1985;58:515–528
  6. Thames HD, Hendry JH. Fractionation in Radiotherapy. New York, NY: Taylor & Francis; 1987;
  7. Hall EJ, Brenner DJ. The radiobiology of radiosurgery: Rationale for different treatment regimes for AVMs and malignancies. Int J Radiat Oncol Biol Phys. 1993;25:381–385
  8. Brenner DJ, Hlatky LR, Hahnfeldt PJ, et al. The linear-quadratic model and most other common radiobiological models result in similar predictions of time-dose relationships. Radiat Res. 1998;150:83–91
  9. Fowler JF, Tomé WA, Fenwick JD, et al. A challenge to traditional radiation oncology. Int J Radiat Oncol Biol Phys. 2004;60:1241–1256
  10. Guerrero M, Li XA. Extending the linear–quadratic model for large fraction doses pertinent to stereotactic radiotherapy. Phys Med Biol. 2004;49:4825–4835
  11. Carlone M, Wilkins D, Raaphorst P. The modified linear-quadratic model of Guerrero and Li can be derived from a mechanistic basis and exhibits linear-quadratic-linear behaviour. Phys Med Biol. 2005;50:L9–L13
  12. Leith JT, Cook S, Chougule P, et al. Intrinsic and extrinsic characteristics of human tumors relevant to radiosurgery: Comparative cellular radiosensitivity and hypoxic percentages. Acta Neurochir Suppl. 1994;62:18–27
  13. Kocher M, Treuer H, Voges J, et al. Computer simulation of cytotoxic and vascular effects of radiosurgery in solid and necrotic brain metastases. Radiother Oncol. 2000;54:149–156
  14. Karlsson B, Lindqvist M, Blomgren H, et al. Long-term results after fractionated radiation therapy for large brain arteriovenous malformations. Neurosurg. 2005;57:42–49
  15. Flickinger JC, Kondziolka D, Maitz AH, et al. An analysis of the dose response for arteriovenous malformation radiosurgery and other factors affecting obliteration. Radiother Oncol. 2002;63:347–354
  16. Thames HD, Withers R, Mason KA, et al. Dose-survival characteristics of mouse jejunal crypt cells. Int J Radiat Oncol Biol Phys. 1981;7:1591–1597
  17. Hall EJ. Radiobiology for the Radiologist. Philadelphia, PA: Lipincott; 2000;
  18. Garcia-Barros M, Paris F, Cordon-Cardo C, et al. Tumor response to radiotherapy regulated by endothelial cell apoptosis. Science. 2003;300:1155–1159
  19. Fuks Z, Kolesnick R. Engaging the vascular component of the tumor response. Cancer Cell. 2005;8:89–91
  20. Schneider BF, Eberhard DA, Steiner LE, et al. Histopathology of arteriovenous malformations after gamma knife radiosurgery. J Neurosurg. 1997;87:352–357
  21. Szeifert GT, Atteberry DS, Kondziolka D, et al. Cerebral metastases pathology after radiosurgery: A multicenter study. Cancer. 2006;106:2672–2681
  22. Szeifert GT, Kondziolka D, Atteberry DS, et al. Radiosurgical pathology of brain tumors: Metastases, schwannomas, meningiomas, astrocytomas, hemangioblastomas. Prog Neurol Surg. 2007;20:91–105
  23. Flickinger JC, Kondziolka D, Pollock BE, et al. Complications from arteriovenous malformation radiosurgery: Multivariate analysis and risk modeling. Int J Radiat Oncol Biol Phys. 1997;38:485–490
  24. Flickinger JC, Kondziolka D, Lundsford LD. Development of a model to predict permanent symptomatic postradiosurgery injury for arteriovenous malformation patients. Int J Radiat Oncol Biol Phys. 2000;46:1143–1148
  25. Levegrün S, Hof H, Essig M, et al. Radiation-Induced changes of brain tissue after radiosurgery in patients with arteriovenous malformations: Dose/volume-response relations. Strahlenther Onkol. 2004;180:758–767
  26. Marks LB. Extrapolating hypofractionated radiation schemes from radiosurgery data: Regarding Hall et al (IJROBP 21:819-824, 1991 and Hall and Brenner, IJROBP 25:381-385, 1993). Int J Radiat Oncol Biol Phys. 1995;32:274–276
  27. Garcia LM, Wilkins DE, Raaphorst GP. α/β ratio: A dose range dependence study. Int J Radiat Oncol Biol Phys. 2007;67:587–593
  28. Clarke MF, Fuller M. Stem cells and cancer: Two faces of eve. Cell. 2006;124:1111–1115
  29. Dalerba P, Cho RW, Clarke MF. Cancer stem cells: Models and concepts. Ann Rev Med. 2007;58:267–284
  30. Uchida N, Buck DW, He D, et al. Direct isolation of human central nervous system stem cells. Proc Natl Acad Sci U S A. 2000;97:14720–14725
  31. Singh SK, Clarke ID, Terasaki M, et al. Identification of a cancer stem cell in human brain tumours. Cancer Res. 2003;63:5821–5828
  32. Galli R, Binda E, Orfanelli U, et al. Isolation and characterization of tumourigenic, stem-like neural precursors from human glioblastoma. Cancer Res. 2004;64:7011–7021
  33. Bao S, Wu Q, McLendon RE, et al. Glioma stem cells promote radioresistance by preferential activation of the DNA damage response. Nature. 2006;444:756–760
  34. Al-Hajj M, Wicha MS, Benito-Hernandez A, et al. Prospective identification of tumorigenic breast cancer cells. Proc Natl Acad Sci U S A. 2003;100:3983–3988
  35. van Puten LM, Kallman RF. Oxygenation status of a transplantable tumor during fractionated radiation therapy. J Natl Cancer Inst. 1968;40:441–451
  36. Ch'ang HJ, Maj JG, Paris F, et al. ATM regulates target switching to escalating doses of radiation in the intestines. Nat Med. 2005;11:484–490

PII: S1053-4296(08)00034-9

doi: 10.1016/j.semradonc.2008.04.005

Seminars in Radiation Oncology
Volume 18, Issue 4 , Pages 240-243 , October 2008