A path probability model for sister-chromatid exchanges induced by alkylating agents

A path probability model is described for evaluation of sister-chromatid exchanges (SCEs) induced by alkylating agents following treatment of G1 cells at the beginning of the first or second cycles of BrdUrd incorporation, or during G1 corresponding to an exact cell-cycle interval preceding BrdUrd incorporation. Algebraic expressions are derived for calculations of expected induced SCE frequencies (over baseline levels) in second and third (reciprocal and nonreciprocal SCEs) division cells for the described treatment protocols. The derivations take into consideration: p, the probability of a specific lesion inducing an SCE; rn, the extent of repair within the nth post-treatment cycle; and X, the number of lesions induced. Expressions are also derived for expected ratios of single: twin exchanges in endoreduplicated or tetraploid cells.