Comparison of Two Mathematical Models for Describing Heat-Induced Cell Killing

ROTI ROTI, J. L., AND HENLE, K. J. Comparison of Two Mathematical Models for Describing Heat-Induced Cell Killing. Radiat. Res. 81, 374-383 (1980). A computer-based minimization algorithm is utilized to obtain the optimum of two models to hyperthermic cell killing data. The models chosen are the multitarget, single-hit equation, which is in general use, and the linear-quadratic equation, which has been applied to cell killing by ionizing irradiation but not to heat-induced cell killing. The linear-quadratic equation fits hyperthermic cell killing data as well as the multitarget, single-hit equation. Both parameters of the linear-quadratic equation obey the Arrhenius law, whereas only one of the two parameters of the multitarget, single-hit equation obeys the Arrhenius law. Thus the linear-quadratic function can completely define cell killing as a function of both time and temperature. In addition, the linear-quadratic model will provide a simplified approach to the study of the synergism between heat and X irradiation.