Characteristics of Cell Damage and Death under High Temperature Condition and Its Phenomenological Mathematical Model

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Mathematical modeling to characterize high-temperature stress-induced cell damage and death was developed. For four kinds of models with reaction kinetic formulation, a parameter study of the rate constants of cell damage and death in the models was performed to analyze the model' s characteristics. An experiment was also performed to evaluate the time-series changes in the numbers of live and dead cells. The rate constants and the optimum reaction formula were determined by inverse problem analysis on the basis of experimental data of cell viability. Temperature dependency of rate constants was expressed by an Arrhenius' equation. The results show that the cell damage and death can be described well by the reaction kinetic model.