Abstract
Different radiobiological models have been proposed to estimate the cell-killing effects, which are very important in radiotherapy and radiation risk assessment. However, most applied models have their own scopes of application. In this work, by generalizing the relationship between “hit” and “survival” in traditional target theory with Yager negation operator in Fuzzy mathematics, we propose a generalized target model of radiation-induced cell inactivation that takes into account both cellular repair effects and indirect effects of radiation. The simulation results of the model and the rethinking of “the number of targets in a cell” and “the number of hits per target” suggest that it is only necessary to investigate the generalized single-hit single-target (GSHST) in the present theoretical frame. Analysis shows that the GSHST model can be reduced to the linear quadratic model and multitarget model in the low-dose and high-dose regions, respectively. The fitting results show that the GSHST model agrees well with the usual experimental observations. In addition, the present model can be used to effectively predict cellular repair capacity, radiosensitivity, target size, especially the biologically effective dose for the treatment planning in clinical applications.
Highlights
Different radiobiological models have been proposed to estimate the cell-killing effects, which are very important in radiotherapy and radiation risk assessment
By generalizing the relationship between “hit” and “survival” in traditional target theory with Yager negation operator in Fuzzy mathematics, we propose a generalized target model of radiation-induced cell inactivation that takes into account both cellular repair effects and indirect effects of radiation
It was shown that the dose-response curves changed with parameter a when parameter V was fixed: if a is greater than 1, the dose-response relationship showed a smooth curve with a larger shoulder at the low dose, which means that the survival fraction decreased slowly with increasing a values; on the other hand, if a is less than 1, the dose-response relationship showed a steep tendency, which means that the survival fraction decreased rapidly with decreasing a values
Summary
Different radiobiological models have been proposed to estimate the cell-killing effects, which are very important in radiotherapy and radiation risk assessment. Some new radiobiological experiments show that, there exist “non-targeted effects”[10], such as bystander effect[11,12], adaptive response[13,14], low dose hyper-radiosensitivity[15], etc, which do not depend on the amount of energy deposited in DNA. Lea’s target theory is one of the earliest interpretive models for radiation-induced cell killing[17]. In this theory, the hit probability p0 for N targets to be hit n times followed Poisson distribution, which can be expressed as. When both N and n are equal to 1, the survival fraction S can be reduced to single-hit single-target (SHST) model, www.nature.com/scientificreports/
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