title: Use of the linear quadratic model in order to accommodate a small reduction in the number of fractions of a standard radiotherapy treatment regime.
abstract: Use of the linear quadratic model is considered for reduction, by one or two fractions, of the number of fractions in a daily fractionated reference schedule while maintaining a continuous regime. The cases of maintaining late or early tumour reacting tissue are considered with the inclusion of time effects. The reduction of biologically effective dose (BED) to early-tumour type tissue is shown to be overestimated for both cases if time effects are not taken into account. A third option is outlined, which equates the magnitude of the fractional reduction of BED for early-tumour-reacting tissue to the fractional increase in BED for late-reacting tissue without accounting for time effects. Using this option, the resulting variations in BED for late- and early-tumour tissue are compared with the accepted tolerances in physical dose delivery and some examples presented. The overestimated prediction of the variation in BED for early-tumour tissue still applies in this option, suggesting that this is the way the linear quadratic model should be applied to such a schedule change.
authors.affiliation: Department of Clinical Physics and Bioengineering, Walsgrave Hospital, Coventry, UK.
authors.forename: J A
authors.initials: JA
authors.lastname: Mills
authors.forename: S C
authors.initials: SC
authors.lastname: Wayte
mesh_terms: D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D009369:Neoplasms / Q000532:radiotherapy; D011879:Radiotherapy Dosage; D012062:Relative Biological Effectiveness; D013997:Time Factors