Dose-Response after Low-dose Ionizing Radiation: Evidence from Life Span Study with Data-driven Deep Neural Network Model

Zhenqiu Liu, Igor Shuryak
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Abstract

Accurately evaluating the disease risks after low-dose ionizing radiation (IR) exposure are crucial for protecting public health, setting safety standards, and advancing research in radiation safety. However, while much is known about the disease risks of high-dose irradiation, risk estimates at low dose remains controversial. To date, five different parametric models (supra-linear, linear no threshold, threshold, quadratic, and hormesis) for low doses have been studied in the literature. Different dose-response models may lead to inconsistent or even conflicting results. In this manuscript, we introduce a data-driven deep neural network (DNN) model designed to evaluate dose-response models at low doses using Life Span Study (LSS) data. DNNs possess the capability to approximate any continuous function with an adequate number of nodes in the hidden layers. Being data-driven, they circumvent the challenges associated with misspecification inherent in parametric models. Our simulation study highlights the effectiveness of DNNs as a valuable tool for precisely identifying dose-response models from available data. New findings from the LSS study provide robust support for a linear quadratic (LQ) dose-response model at low doses. While the linear no threshold (LNT) model tends to overestimate disease risk at very low doses and underestimate health risk at relatively high doses, it remains a reasonable approximation for the LQ model, given the minor impact of the quadratic term at low doses. Our demonstration underscores the power of DNNs in facilitating comprehensive investigations into dose-response associations.
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低剂量电离辐射后的剂量反应:利用数据驱动的深度神经网络模型从生命周期研究中获得的证据
准确评估低剂量电离辐射(IR)照射后的疾病风险对于保护公众健康、制定安全标准和推进辐射安全研究至关重要。然而,尽管人们对高剂量辐照的疾病风险了解甚多,但对低剂量辐照的风险评估仍存在争议。迄今为止,文献中已经研究了五种不同的低剂量参数模型(超线性模型、无阈值线性模型、阈值模型、二次模型和荷尔蒙发生模型)。不同的剂量反应模型可能导致不一致甚至相互矛盾的结果。在本手稿中,我们介绍了一种数据驱动的深度神经网络(DNN)模型,旨在利用寿命研究(LSS)数据评估低剂量下的剂量反应模型。DNN 具备近似任何连续函数的能力,只需在隐藏层中设置足够数量的节点。由于是数据驱动的,它们可以规避参数模型固有的错误规范带来的挑战。我们的模拟研究强调了 DNN 的有效性,它是从现有数据中精确识别剂量反应模型的重要工具。LSS 研究的新发现为低剂量下的线性二次(LQ)剂量反应模型提供了有力支持。虽然线性无阈值(LNT)模型往往会高估极低剂量时的疾病风险,低估相对高剂量时的健康风险,但鉴于二次项在低剂量时的影响较小,它仍然是线性二次项模型的合理近似值。我们的论证强调了 DNN 在促进剂量-反应关联综合研究方面的能力。
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