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Joint estimation of cardiac kinematics and material parameters from noisy imaging data and uncertain mechanical model

机译：从嘈杂的成像数据和不确定的力学模型联合估算心脏运动学和材料参数

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There have been many efforts using image analysis algorithms to study cardiac kinematics, or using biomechanics strategies to study myocardial material properties. In this paper, we propose a novel stochastic mechanics strategy and an extended Kalman filter (EKF) computational framework to estimate the cardiac kinematics functions and material model parameters simultaneously, given a particular a priori myocardial material model with uncertain parameters and a posteriori noisy imaging/imaging-derived data. We address the issues concerning the data-dependent uncertainty of the constraining mechanical models (and their parameters), which are needed in the ill-posed problems. Because of the periodic nature of the cardiac dynamics, we conclude experimentally that it is possible to adopt this physical-model based optimal estimation approach to achieve converged estimates. Results from canine MR phase contrast images and linear elastic model are presented.

机译：使用图像分析算法来研究心脏运动学，或者使用生物力学策略来研究心肌材料特性，已经做出了许多努力。在本文中，我们提出了一种新颖的随机力学策略和扩展的卡尔曼滤波器（EKF）计算框架，以同时估算具有特定参数和先验噪声成像的先验心肌材料模型，从而同时估算心脏运动学功能和材料模型参数。影像来源的数据。我们解决了不适定问题所需要的有关约束机械模型（及其参数）的数据相关不确定性的问题。由于心脏动力学的周期性，我们通过实验得出结论，有可能采用这种基于物理模型的最佳估计方法来实现收敛估计。给出了来自犬MR相衬图像和线性弹性模型的结果。

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《》|2002年|p.113-116|共4页
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Huafeng Liu; Lo; E.W.B.; Pengcheng Shi;
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中图分类无线电电子学、电信技术;
关键词
kinematics; Kalman filters; biomedical MRI; biomechanics; motion estimation; physiological models; parameter estimation; noise; cardiology; cardiac kinematics; material parameters; noisy imaging data; uncertain mechanical model; joint estimation; phy;

机译：运动学卡尔曼滤波器生物医学MRI;生物力学运动估计;生理模型参数估计;噪声;心脏病学心脏运动学;材料参数;嘈杂的成像数据;不确定的机械模型联合估计;物理层;

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2. Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data [J] . Lu Fei, Weitzel Nils, Monahan Adam H. Nonlinear Processes in Geophysics Discussions . 2019,第3期

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3. Joint state-parameter estimation of a nonlinear stochastic energy balance model from sparse noisy data [J] . Fei Lu, Nils Weitzel, Adam H. Monahan Nonlinear processes in geophysics . 2019,第3期

机译：稀疏噪声数据非线性随机能量平衡模型的联合状态参数估计
4. Joint estimation of cardiac kinematics and material parameters from noisy imaging data and uncertain mechanical model [C] . Huafeng Liu, Edward W. B. Lo, Pengcheng Shi IEEE International Symposium on Biomedical Imaging . 2002

机译：来自嘈杂成像数据和不确定机械模型的心脏运动学和材料参数的联合估计
5. Incorporating uncertainty into parameter estimation and evaluating the AGNPS model with uncertain parameters. [D] . Yue, Peng. 1997

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7. JOINT ESTIMATION OF CARDIAC KINEMATICS AND MATERIAL PARAMETERS FROM NOISY IMAGING DATA AND UNCERTAIN MECHANICAL MODEL [O] . Huafeng Liu, Edward W. B. Lo, Pengcheng Shi 2010

机译：从噪声成像数据和不确定的机械模型联合估算心脏运动学和材料参数
8. Estimation of uncertain material parameters using modal test data [R] . Veers, P. S. , Laird, D. L. , Carne, T. G. , 1997

机译：使用模态试验数据估计不确定材料参数

Joint estimation of cardiac kinematics and material parameters from noisy imaging data and uncertain mechanical model

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