Traditionally, dose-response modeling has been on a strict experiment-by-experiment basis. Such an approach greatly restricts understanding of complex biological systems affected by numerous confounding factors that individually vary from experiment to experiment. In contrast, work described in this manuscript relies on a new analytical process (that considers both pooled and experiment-specific considerations) that was used to jointly analyze the bone marrow cell kinetics from a large data base on six species of test animals irradiated by protracted schedules of ionizing photon radiations. From this approach, we have modeled how the human LD50 may vary with dose protraction and how the dose rate efficiency or RBE factors for x rays, 137Cs, and 60Co change for irradiations given at constant rate over one minute, hour, day, week, and month.