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Shanpeng Zhao, Wei Gou, Zhangzhi Shi, Lichen Li, Haijun Zhang, and Luning Wang, An analytical equation for predicting corrosion rates of biodegradable Zn–0.45Mn–0.2Mg alloy via symbolic regression, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-026-3414-9
Shanpeng Zhao, Wei Gou, Zhangzhi Shi, Lichen Li, Haijun Zhang, and Luning Wang, An analytical equation for predicting corrosion rates of biodegradable Zn–0.45Mn–0.2Mg alloy via symbolic regression, Int. J. Miner. Metall. Mater., (2026). https://doi.org/10.1007/s12613-026-3414-9
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基于符号回归方法构建可降解Zn–0.45Mn–0.2Mg合金腐蚀速率解析式

摘要: 可降解锌合金的腐蚀速率直接影响其植入后的结构完整性、生物安全性和服役有效性,是评价其临床应用潜力的重要指标。现有腐蚀速率预测方法多依赖传统经验模型,仍缺乏兼具高预测精度和可解释性的“白箱”机器学习模型。本文以可降解Zn–0.45Mn–0.2Mg合金为研究对象,提出了一种结合加速腐蚀实验与数据驱动建模的腐蚀速率预测方法。通过不同腐蚀条件下获得的腐蚀速率数据及相关腐蚀参数,首次构建了符号回归(SR)机器学习模型,并基于该模型获得了可用于腐蚀速率预测的解析表达式。研究结果表明,SR模型的决定系数达到0.97,预测性能优于轻量梯度提升机(LGBM)、极端梯度提升(XGBoost)、随机森林(RF)、线性回归(LR)和 K 近邻(KNN)五种经典机器学习模型。验证实验表明,模型预测误差均低于10%。该方法为可降解锌合金腐蚀速率的定量预测和可解释评价提供了新的数据驱动方法,也为可降解金属腐蚀行为研究提供了参考。

 

An analytical equation for predicting corrosion rates of biodegradable Zn–0.45Mn–0.2Mg alloy via symbolic regression

Abstract: Corrosion rates of biodegradable Zn alloys are directly related to their post-implantation safety and effectiveness. Currently, no highly accurate and interpretable “white-box” machine learning models exist for corrosion rate predictions. This study proposes a data-driven method coupled with accelerated corrosion testing for predicting the corrosion rates of biodegradable Zn–0.45Mn–0.2Mg (wt%) alloy. A symbolic regression (SR) machine-learning model was established for the first time based on an analytical expression of the corrosion rate and four corrosion parameters. Outperforming five other machine learning models, the SR model achieved a determination coefficient of 0.97 and prediction errors in the verification experiments of less than 10%. This study marks a paradigm shift from qualitative to quantitative analysis for corrosion research on biodegradable metals.

 

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