Rate-limiting events in hyperthermic cell killing

The inactivation rate of HeLa cells for temperatures ranging from 41 to 550C and treatment durations varying from 2 to 300 min was analyzed in thermodynamic terms by considering the dependence of cell free energy (ΔG+) on temperature. Within this temperature range the loss of proliferative capacity exhibits a complex temperature dependence which is characterized by entropy and enthalpy values that gradually decrease as temperature increases. This complex process of heat-induced cell killing was postulated to be the result of a series of reactions, each of them being alternatively rate limiting within a certain temperature range. From this kinetic scheme a mathematical model was derived and, in the case of HeLa cells, the use of a least-squares search parameter procedure (as applied to the derived survival regression function) demonstrated that three such sequential reactions were sufficient to explain all experimental data points obtained within the 41 to 550C range. The proposed model was also shown to be adequate for explaining survival data of HeLa cells exposed to nanosecond heat pulses of infrared laser energy. Considerations of thermodynamic properties of known biochemical reactions suggest plausible rate-limiting events in hyperthermic cell killing