Traditional single-reaction Arrhenius models have been successfully used for many years in burn studies[1–3] and have been adapted and used to predict quantitative histologic results in laser, RF and microwave heating at high temperatures.[4–6] The single reaction kinetics model also forms the basis for the time scaling ratio as is currently used in calculating the cumulative equivalent minutes (CEM) assessment of tumor hyperthermia treatments. Recently, it has been clearly demonstrated that these models are not acceptably accurate predictors of the early stages of cell death processes in hyperthermic heating — moderate temperature rises (< ∼15 C) for times from several minutes to hours.[8, 9] A typical ensemble of cell survival curves has an initial slowly-developing shoulder region, a constant-rate region and, often, a “foot’, as it were, which has a much slower death rate. Simple first-order Arrhenius predictions are constant-rate models, only, and substantially over-estimate population cell death in the early stages of heating.
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Considerations in Modeling Cell Death Processes
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Pearce, JA. "Considerations in Modeling Cell Death Processes." Proceedings of the ASME 2012 Summer Bioengineering Conference. ASME 2012 Summer Bioengineering Conference, Parts A and B. Fajardo, Puerto Rico, USA. June 20–23, 2012. pp. 935-936. ASME. https://doi.org/10.1115/SBC2012-80191
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