仅用一次拉伸实验,就能精准反推心肌组织的力学参数和不确定性。
Unsupervised full-field Bayesian inference of orthotropic hyperelasticity from a single biaxial test: a myocardial case study
- 基于全场变形数据,无需多组实验即可自动推导材料模型。
- 单次实验下对霍尔兹普法-奥格登模型参数的恢复误差小于5%。
- 适合需要减少样本消耗的生物组织力学研究者使用。
心脏肌肉组织在被动拉伸时表现出高度非线性的超弹性与正交各向异性特征。传统本构识别方法需多种加载模式、多个样本且操作繁琐,在软生物组织中易受个体差异和操作干扰影响,导致反演校准偏差。本文利用空间异质的全场形变数据,作为多模态测试的信息替代方案,将无监督的自动本构发现方法EUCLID改进为针对高非线性、正交各向异性模型的贝叶斯参数推断框架。通过合成心肌组织样本验证,仅需一次非均匀双轴拉伸实验与稀疏反力测量,即可在不同噪声水平下稳健恢复霍尔兹普法-奥格登(Holzapfel-Ogden)模型参数,并量化不确定性。推断结果与真实模拟高度吻合,可信区间准确反映了测量噪声对材料参数推断的影响。本工作实现了仅凭一次实验完成非线性正交各向异性材料模型的单次、带不确定性的表征,显著降低样本需求与实验操作干预。
原文摘要 · Abstract (English)
Cardiac muscle tissue exhibits highly non-linear hyperelastic and orthotropic material behavior during passive deformation. Traditional constitutive identification protocols therefore combine multiple loading modes and typically require multiple specimens and substantial handling. In soft living tissues, such protocols are challenged by inter- and intra-sample variability and by manipulation-induced alterations of mechanical response, which can bias inverse calibration. In this work we exploit spatially heterogeneous full-field kinematics as an information-rich alternative to multimodal testing. We recast EUCLID, an unsupervised method for the automated discovery of constitutive models, towards Bayesian parameter inference for highly nonlinear, orthotropic constitutive models. Using synthetic myocardial tissue slabs, we demonstrate that a single heterogeneous biaxial experiment, combined with sparse reaction-force measurements, enables robust recovery of Holzapfel-Ogden parameters with quantified uncertainty, across multiple noise levels. The inferred responses agree closely with ground-truth simulations and yield credible intervals that reflect the impact of measurement noise on orthotropic material model inference. Our work supports single-shot, uncertainty-aware characterization of nonlinear orthotropic material models from a single biaxial test, reducing sample demand and experimental manipulation.
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