The linear-quadratic model

Abstract
Dr Scott's recent letter (1987) raises some interesting points, all of which are related to the question, can optimal fractionation schedules be deduced using the LQ model? In the absence of a time factor the answer is certainly no. To take the mathematically simplest case of one relevant normal tissue with (α/β)n and a tumour with (α/β)t, if (α/β)t, < (α/β)n the optimal schedule tends to an infinite number of infinitesimally small fractions whereas if (α/β)t > (α/β)n the optimal schedule corresponds to the single fraction equivalent dose defined by (α/β)n and an acceptable level of normal tissue toxicity.