PMID- 19306749 OWN - NLM STAT- MEDLINE DCOM- 20090403 LR - 20220408 IS - 1879-355X (Electronic) IS - 0360-3016 (Linking) VI - 73 IP - 5 DP - 2009 Apr 1 TI - Sensitivity analysis of parameters in linear-quadratic radiobiologic modeling. PG - 1532-7 LID - 10.1016/j.ijrobp.2008.11.039 [doi] AB - PURPOSE: Radiobiologic modeling is increasingly used to estimate the effects of altered treatment plans, especially for dose escalation. The present article shows how much the linear-quadratic (LQ) (calculated biologically equivalent dose [BED] varies when individual parameters of the LQ formula are varied by +/-20% and by 1%. METHODS: Equivalent total doses (EQD2 = normalized total doses (NTD) in 2-Gy fractions for tumor control, acute mucosal reactions, and late complications were calculated using the linear- quadratic formula with overall time: BED = nd (1 + d/ [alpha/beta]) - log(e)2 (T - Tk) / alphaTp, where BED is BED = total dose x relative effectiveness (RE = nd (1 + d/ [alpha/beta]). Each of the five biologic parameters in turn was altered by +/-10%, and the altered EQD2s tabulated; the difference was finally divided by 20. EQD2 or NTD is obtained by dividing BED by the RE for 2-Gy fractions, using the appropriate alpha/beta ratio. RESULTS: Variations in tumor and acute mucosal EQD ranged from 0.1% to 0.45% per 1% change in each parameter for conventional schedules, the largest variation being caused by overall time. Variations in "late" EQD were 0.4% to 0.6% per 1% change in the only biologic parameter, the alpha/beta ratio. For stereotactic body radiotherapy schedules, variations were larger, up to 0.6 to 0.9 for tumor and 1.6% to 1.9% for late, per 1% change in parameter. CONCLUSIONS: Robustness occurs similar to that of equivalent uniform dose (EUD), for the same reasons. Total dose, dose per fraction, and dose-rate cause their major effects, as well known. FAU - Fowler, Jack F AU - Fowler JF AD - Department of Human Oncology, School of Medicine, University of Wisconsin, Madison, WI, USA. jackfowlersbox@gmail.com LA - eng PT - Journal Article PL - United States TA - Int J Radiat Oncol Biol Phys JT - International journal of radiation oncology, biology, physics JID - 7603616 SB - IM MH - *Algorithms MH - Cell Proliferation/radiation effects MH - Head and Neck Neoplasms/*radiotherapy MH - Humans MH - Linear Models MH - Male MH - *Models, Biological MH - Mouth Mucosa/radiation effects MH - Prostatic Neoplasms/pathology/*radiotherapy MH - Radiation Injuries/etiology MH - Radiation Tolerance MH - Radiobiology MH - Radiosurgery/adverse effects MH - Radiotherapy Dosage MH - *Relative Biological Effectiveness MH - Sensitivity and Specificity MH - Time Factors EDAT- 2009/03/25 09:00 MHDA- 2009/04/04 09:00 CRDT- 2009/03/25 09:00 PHST- 2008/08/10 00:00 [received] PHST- 2008/11/01 00:00 [revised] PHST- 2008/11/22 00:00 [accepted] PHST- 2009/03/25 09:00 [entrez] PHST- 2009/03/25 09:00 [pubmed] PHST- 2009/04/04 09:00 [medline] AID - S0360-3016(08)03856-X [pii] AID - 10.1016/j.ijrobp.2008.11.039 [doi] PST - ppublish SO - Int J Radiat Oncol Biol Phys. 2009 Apr 1;73(5):1532-7. doi: 10.1016/j.ijrobp.2008.11.039.