用深度算子网络加速烧伤后挛缩预测,精度高且快百倍。
Deep operator network models for predicting post-burn contraction
- 用DeepONet替代传统有限元模拟,融合伤口形状信息提升泛化能力
- 预测准确率R²达0.99,可稳定预测长达一年的伤口变化
- 推理速度比数值模型快128倍(CPU)至235倍(GPU),适合临床应用
烧伤后挛缩是严重长期并发症,影响功能与外观。传统有限元模型虽精确但计算耗时,限制实际应用。本文采用深度算子网络(DeepONet)作为代理模型,训练数据包含三种初始伤口形状,并通过引入形状信息与正弦增强来强化边界条件。在包含凸组合测试的验证集上,模型取得R²=0.99的预测精度,表现出优异泛化能力。模型可可靠预测长达一年的伤口演变过程,在CPU上实现最高128倍、GPU上最高235倍的速度提升。结果表明,DeepONet能高效替代传统数值模拟,为烧伤治疗规划提供快速精准支持。
原文摘要 · Abstract (English)
Burn injuries present a significant global health challenge. Among the most severe long-term consequences are contractures, which can lead to functional impairments and disfigurement. Understanding and predicting the evolution of post-burn wounds is essential for developing effective treatment strategies. Traditional mathematical models, while accurate, are often computationally expensive and time-consuming, limiting their practical application. Recent advancements in machine learning, particularly in deep learning, offer promising alternatives for accelerating these predictions. This study explores the use of a deep operator network (DeepONet), a type of neural operator, as a surrogate model for finite element simulations, aimed at predicting post-burn contraction across multiple wound shapes. A DeepONet was trained on three distinct initial wound shapes, with enhancement made to the architecture by incorporating initial wound shape information and applying sine augmentation to enforce boundary conditions. The performance of the trained DeepONet was evaluated on a test set including finite element simulations based on convex combinations of the three basic wound shapes. The model achieved an $R^2$ score of $0.99$, indicating strong predictive accuracy and generalization. Moreover, the model provided reliable predictions over an extended period of up to one year, with speedups of up to 128-fold on CPU and 235-fold on GPU, compared to the numerical model. These findings suggest that DeepONets can effectively serve as a surrogate for traditional finite element methods in simulating post-burn wound evolution, with potential applications in medical treatment planning.
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