A control circuit optimizes a radiation-treatment plan (as regards treating at least one target volume for a given patient) by automatically determining a spatially-variant normal tissue constraint as a function, at least in part, of dose distribution for normal tissue that is proximal to the target volume. If desired, the control circuit can repeatedly determine spatially-variant normal tissue constraints while optimizing the radiation-treatment plan. This automatic determination can comprise evaluating dose distributions at specific different distances from the target volume. So configured, the control circuit can effect such evaluation by penalizing, during the optimization of the radiation-treatment plan, dose distribution levels that exceed a predetermined distribution property (such as an aggregation value for the dose values including, but not limited to, an average value of dose values for each of the given specific different distances) at a given one of the specific different distances.