An ntcp formula for the series model with a Yaes-type functional subunit mechanism

Yaes and Kalend have noted that if functional subunit size is determined by factors such as cell migration lengths or biochemical diffusion lengths, rather than by fixed anatomical boundaries, then the conventional series normal tissue complication probability (ntcp) model should be conceptually modified. Here a von Mises-type formula describing the ntcp for such a modified model is derived, using a methodology based on that of Feller.