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Biological equivalence between fractionated radiotherapy treatments using the linear-quadratic model

Department of Radiation Medicine, University of Kentucky Medical Center, Lexington, Kentucky 40536–0084, USA

This excerpt was created in the absence of an abstract.

Deehan and O'Donoghue (1988) have shown that, in the context of the linear-quadratic (LQ) model, it is possible to define "generally equivalent" courses of treatment that will produce equal effects in all tissues and tumours. The LQ isoeffect relations used by Deehan and O'Donoghue have no dependence on the total treatment time and thus account for sublethal damage repair but not for cell proliferation. The authors have implied that a generalization of their result to a model that does describe cell proliferation with an explicit time dependence would be difficult. In fact, such a generalization is simple and appreciation of this could greatly aid radiation therapists in their clinical practice and could prove useful.

In the LQ model it is assumed that both normal-tissue damage and tumour control result from the depletion of specific target stem cell populations (Douglas & Fowler, 1976; Thames et al, 1982).

Received for publication March 1, 1989.