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使用神经网络计算α粒子单事件能谱。

Calculation of alpha particle single-event spectra using a neural network.

作者信息

Alkhani Layth, Luce Jason P, Mínguez Gabiña Pablo, Roeske John C

机构信息

Department of Bioengineering, Stanford University, Stanford, CA, United States.

Department of Radiation Oncology, Stritch School of Medicine, Loyola University Chicago, Maywood, IL, United States.

出版信息

Front Oncol. 2024 Oct 2;14:1394671. doi: 10.3389/fonc.2024.1394671. eCollection 2024.

Abstract

INTRODUCTION

A neural network was trained to accurately predict the entire single-event specific energy spectra for use in alpha-particle microdosimetry calculations.

METHODS

The network consisted of 4 inputs and 21 outputs and was trained on data calculated using Monte Carlo simulation where input parameters originated both from previously published data as well as randomly generated parameters that fell within a target range. The 4 inputs consisted of the source-target configuration (consisting of both cells in suspension and in tissue-like geometries), alpha particle energy (3.97-8.78 MeV), nuclei radius (2-10 μm), and cell radius (2.5-20 μm). The 21 output values consisted of the maximum specific energy (z), and 20 values of the single-event spectra, which were expressed as fractional values of z. The neural network consisted of two hidden layers with 10 and 26 nodes, respectively, with the loss function characterized as the mean square error (MSE) between the actual and predicted values for z and the spectral outputs.

RESULTS

For the final network, the root mean square error (RMSE) values of z for training, validation and testing were 1.57 x10, 1.51 x 10 and 1.35 x 10, respectively. Similarly, the RMSE values of the spectral outputs were 0.201, 0.175 and 0.199, respectively. The correlation coefficient, R, was > 0.98 between actual and predicted values from the neural network.

DISCUSSION

In summary, the network was able to accurately reproduce alpha-particle single-event spectra for a wide range of source-target geometries.

摘要

引言

训练了一个神经网络,以准确预测整个单事件特定能谱,用于α粒子微剂量学计算。

方法

该网络由4个输入和21个输出组成,并使用蒙特卡罗模拟计算的数据进行训练,其中输入参数既来自先前发表的数据,也来自落在目标范围内的随机生成参数。4个输入包括源-靶配置(包括悬浮细胞和组织样几何结构中的细胞)、α粒子能量(3.97-8.78兆电子伏)、原子核半径(2-10微米)和细胞半径(2.5-20微米)。21个输出值包括最大比能(z)和单事件能谱的20个值,这些值表示为z的分数值。神经网络由分别具有10个和26个节点的两个隐藏层组成,损失函数表征为z和能谱输出的实际值与预测值之间的均方误差(MSE)。

结果

对于最终网络,训练、验证和测试的z的均方根误差(RMSE)值分别为1.57×10、1.51×10和1.35×10。同样,能谱输出的RMSE值分别为0.201、0.175和0.199。神经网络实际值与预测值之间的相关系数R>0.98。

讨论

总之,该网络能够准确再现广泛源-靶几何结构的α粒子单事件能谱。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/7032/11480074/257846d60fda/fonc-14-1394671-g001.jpg

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