Stålhand Jonas
Division of Mechanics, Linköping Institute of Technology, 581 83 Linköping, Sweden.
Biomech Model Mechanobiol. 2009 Apr;8(2):141-8. doi: 10.1007/s10237-008-0124-3. Epub 2008 Mar 18.
This study suggests a method to compute the material parameters for arteries in vivo from clinically registered pressure-radius signals. The artery is modelled as a hyperelastic, incompressible, thin-walled cylinder and the membrane stresses are computed using a strain energy. The material parameters are determined in a minimisation process by tuning the membrane stress to the stress obtained by enforcing global equilibrium. In addition to the mechanical model, the study also suggests a preconditioning of the pressure-radius signal. The preconditioning computes an average pressure-radius cycle from all consecutive cycles in the registration and removes, or reduces, undesirable disturbances. The effect is a robust parameter identification that gives a unique solution. The proposed method is tested on clinical data from three human abdominal aortas and the results show that the material parameters from the proposed method do not differ significantly (p < 0.01) from the corresponding parameters obtained by averaging the result from consecutive cycles.
本研究提出了一种根据临床记录的压力-半径信号计算体内动脉材料参数的方法。将动脉建模为超弹性、不可压缩的薄壁圆柱体,并使用应变能计算膜应力。通过在最小化过程中调整膜应力,使其与通过强制全局平衡获得的应力相匹配,从而确定材料参数。除了力学模型外,该研究还提出了对压力-半径信号进行预处理。预处理从记录中的所有连续周期计算平均压力-半径循环,并消除或减少不良干扰。其效果是实现稳健的参数识别,给出唯一解。该方法在来自三条人类腹主动脉的临床数据上进行了测试,结果表明,该方法得到的材料参数与通过对连续周期结果求平均得到的相应参数相比,差异不显著(p < 0.01)。