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Generalized mathematical model for adaptive cell survival after thermoradiotherapy: The impact of sublethal damage
The efficacy of radiotherapy (RT) can be significantly enhanced by
combination with hyperthermia (HT), offering improved therapeutic outcomes at
reduced radiation doses. Recent technological advancements have revitalized HT
as a promising option for combinatorial RT. However, the underlying mechanisms,
implications, and cause-effect relationships require further elucidation for
precise integration into clinical practice. In this context, mathematical
modeling provides the necessary predicting power for treatment planning.
Moreover, based on physicochemical principles, such models help elucidate the
behavior of biological systems under heat. Some cell cultures exhibit
dose-dependent changes in therapy response and survival, prompting the
development of a model incorporating cell recovery mechanisms. We extended
Jung's model of cellular inactivation by heat based on the accumulation of
sublethal damage to combinatorial radiotherapy in general and incorporated
dose-dependent recovery rates. The resulting unified model (Umodel) is suited
to describe (i) individual or sequential treatment/fraction outcomes, (ii)
differences and changes in cellular response and recovery or adaptation to
treatment, and (iii) the observed sensitivity to treatment order. We
demonstrate excellent performance (R2 > 0.95) on various cell survival data
from the literature and our own experimental series. Our observations suggest
that the induction of sublethal damage in cells is pivotal, promoting cellular
vulnerability for synergistic outcomes in combined therapeutic schemes.