arXiv:2412.14572physics.med-phcs.LG2024-12被引 2

用可微分血流模型加速个性化患者参数校准,提升效率与可解释性。

Accelerated Patient-Specific Calibration via Differentiable Hemodynamics Simulations

  • 基于可微分0D-1D Navier-Stokes模型,通过梯度反向传播快速推断参数
  • 在多种解剖结构上验证,参数推断准确且收敛速度快于传统方法
  • 适合心血管疾病个性化诊断,兼顾高效性与物理可解释性

个性化医疗的目标是将诊断适配至个体患者。临床中常用生物标志物反映疾病状态,而心血管病如高血压的标志物可通过计算模型预测。个性化模型需考虑患者特异性血流条件,如血管顺应性(无法直接测量)和几何结构(可通过成像获取)。因此,患者由可测与不可测参数共同定义,否则模型无法个性化,易产生大误差。现有方法或依赖收敛慢的优化,或使用难以解释的黑箱深度学习。本文提出一种基于可微分0D-1D Navier-Stokes降阶模型求解器的个性化诊断流程,结合快速参数推断方法,利用求解器中的梯度信息实现高效参数估计与敏感性分析。该方法在不同几何结构上验证有效,成功完成多组参数推断,兼具数学模型的可解释性与计算效率,实现高效与可解释性的统一。

原文摘要 · Abstract (English)

One of the goals of personalized medicine is to tailor diagnostics to individual patients. Diagnostics are performed in practice by measuring quantities, called biomarkers, that indicate the existence and progress of a disease. In common cardiovascular diseases, such as hypertension, biomarkers that are closely related to the clinical representation of a patient can be predicted using computational models. Personalizing computational models translates to considering patient-specific flow conditions, for example, the compliance of blood vessels that cannot be a priori known and quantities such as the patient geometry that can be measured using imaging. Therefore, a patient is identified by a set of measurable and nonmeasurable parameters needed to well-define a computational model; else, the computational model is not personalized, meaning it is prone to large prediction errors. Therefore, to personalize a computational model, sufficient information needs to be extracted from the data. The current methods by which this is done are either inefficient, due to relying on slow-converging optimization methods, or hard to interpret, due to using `black box` deep-learning algorithms. We propose a personalized diagnostic procedure based on a differentiable 0D-1D Navier-Stokes reduced order model solver and fast parameter inference methods that take advantage of gradients through the solver. By providing a faster method for performing parameter inference and sensitivity analysis through differentiability while maintaining the interpretability of well-understood mathematical models and numerical methods, the best of both worlds is combined. The performance of the proposed solver is validated against a well-established process on different geometries, and different parameter inference processes are successfully performed.

血流模拟个性化医疗可微分建模

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