The linear-quadratic transformation of dose-volume histograms in fractionated radiotherapy

Radiotherapy and Oncology

Volumn 46, Issue 3, 1998, Pages 285-295

  Wheldon, Thomas E ^a,b   Deehan, Charles ^b   Wheldon, Elizabeth G ^a   Barrett, Ann ^a,c  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b NHS GREATER GLASGOW AND CLYDE   (United Kingdom)

^c BEATSON WEST OF SCOTLAND CANCER CENTRE   (United Kingdom)

Author keywords

Dose volume histograms; Fractionation; LQ model; Radiobiology; Radiotherapy

Indexed keywords

ARTICLE; DOSIMETRY; HISTOGRAM; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; RADIATION DOSE FRACTIONATION; RADIOBIOLOGY; RADIOTHERAPY;

BRACHYTHERAPY; BREAST NEOPLASMS; DOSE FRACTIONATION; FEMALE; HUMANS; LINEAR MODELS; MATHEMATICAL COMPUTING; RADIOTHERAPY; RADIOTHERAPY DOSAGE; RADIOTHERAPY PLANNING, COMPUTER-ASSISTED; SENSITIVITY AND SPECIFICITY;

EID: 0031961525     PISSN: 01678140     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8140(97)00162-X     Document Type: Article

References (24)

1. Amin, A.E. Radiobiological implications of physical dose inhomogeneity in radiotherapy treatment planning (letter). Radiother. Oncol. 30: 180-181, 1994.
2. Beck-Bornholdt, H.P., Schmidt, R., Schwartz, R.C. and Huebner, K.H. Biological isoeffect distribution: consideration of the influence of dose per fraction and overall treatment time; a possible tool in treatment planning. Strahlenther. Onkol. 167: 708-715, 1991.
3. Bentzen, S.M. Quantitative clinical radiobiology. Acta Oncol. 32: 259-275, 1993.
4. Bortfeld, T., Schlegel, W., Dyskstra, C., Levegrune, S. and Preisler, K. Physical v. biological objectives for treatment plan optimisation (letter). Radiother. Oncol. 40: 185, 1996.
5. Dale, R.G., Coles, I.P., Deehan, C. and O'Donoghue, J.A. Calculation of integrated biological response in brachytherapy. Int. J. Radiat. Oncol. Biol. Phys., in press.
6. Deehan, C. and O'Donoghue, J.A. Biological equivalence of LDR and HDR brachytherapy. In: Brachytherapy from Radium to Optimisation, Chapter 3. Editors: R.F. Mould, J.J. Batterman, A.A. Martinez and B.I. Spieser. Nucleotron International, The Netherlands, 1994.
7. Fowler, J.F. The linear-quadratic model and progress in radiotherapy. Br. J. Radiol. 62: 679-694, 1989.
8. Goitein, M. and Niemierko, A. Intensity modulated therapy and inhomogeneous dose to the tumor: a note of caution. Int. J. Radiat. Oncol. Biol. Phys. 36: 519-522, 1996.
9. Kirk, J., Wingate, G.W.H. and Watson, E.R. High-dose effects in the treatment of carcinoma of the bladder under air and hyperbaric oxygen conditions. Clin. Radiol. 27: 137-144, 1976.
10. Kutcher, G.J., Mageras, G.S. and Leibel, S.A. Control, correction and modeling of set-up errors and organ motions. Semin. Radiat. Oncol. 5: 135-145, 1995.
11. Lee, S.P., Leu, M.Y., Smathers, J.B., McBride, W.H., Parker, R.G. and Withers, H.R. Biologically effective dose distribution based on the linear-quadratic model and its clinical relevance. Int. J. Radiat. Oncol. Biol. Phys. 33: 375-389, 1995.
12. Mageras, G.S., Kutcher, G.J., Leibel, S.A., Zelefsky, M.J., Melian, E., Mohan, R. and Fuks, Z. A method of incorporating organ motion uncertainties into 3 dimensional conformal treatment plans. Int. J. Radiat. Oncol. Biol. Phys. 35: 333-342, 1996.
13. Mauro, F., Arcangeli, G., D'Angelo, L., Marino, C. and Benassi, M. Mathematical models of cell survival after ionising radiation: application to radiotherapy planning. Health Phys. 57: 355-361, 1989.
14. Mohan, R. and Wang, X.H. Response to Bortfeld et al. re physical v. biological objectives for treatment plan optimisation (letter). Radiother. Oncol. 40: 186-187, 1996.
15. Moody, A.M., Mayles, W.P.M., Bliss, J.M., A'Hern, R.P., Owen, J.R., Regan, J., Broad, B. and Yarnold, J.R. The influence of breast size on late radiation effects and association with radiotherapy dose inhomogeneity. Radiother. Oncol. 33: 106-112, 1994.
16. Powell, S., Cooke, J. and Parsons, C. Radiation-induced brachial plexus injury: follow-up of two different fractionation schedules. Radiother. Oncol. 18: 213-220, 1990.
17. Ross, S. A First Course in Probability, 2nd edn., p. 175. MacMillan, New York, 1984.
18. Scalliet, P., Cosset, J.M. and Wambersie, A. Application of the LQ model to the interpretation of absorbed dose distribution in the daily practice of radiotherapy. Radiother. Oncol. 22: 180-189, 1991.
19. Schoepel, S.L., LaVigne, M.L., Martel, M.K., McShan, D.L., Fraas, B.A. and Roberts, J.A. Three dimensional treatment planning of intracavity gynaecological implants: analysis of ten patients and implications for dose specification. Int. J. Radiat. Oncol. Biol. Phys. 28: 277-283, 1993.
20. Schultheiss, T.E. and Stephens, L.C. Invited review: permanent radiation myelopathy. Br. J. Radiol. 65: 737-753, 1992.
21. Thames, H.D. and Hendry, J.H. Fractionation in Radiotherapy. Taylor and Francis, London, 1987.
22. Wang, X.H., Mohan, R., Jackson, A., Leibel, S.A., Fuks, Z. and Ling, C.C. Optimisation of intensity modulated 3D conformal treatment plans based on biological indices. Radiother. Oncol. 37: 140-152, 1995.
23. Withers, H.R. Biologic basis of radiation therapy. In: Principles and Practice of Radiation Oncology, 2nd edn., pp. 64-96. Editors: C.A. Perez and L.W. Brady. J.B. Lippincott, Philadelphia, PA, 1992.
24. Yaes, R.J. The biological effect of inhomogeneous dose distributions in fractionated radiotherapy. Int. J. Radiat. Oncol. Biol. Phys. 19: 203-207, 1990.