Laminar structure of the heart: A mathematical model
Laminar structure of the heart: A mathematical model
复制标题
DOI：
10.1152/ajpheart.1997.272.5.h2466
复制
发表时间：
1997-05-01
影响因子：
4.8
通讯作者：
Smaill, BH
中科院分区：
文献类型：
--
作者：
LeGrice, IJ;Hunter, PJ;Smaill, BH
提出了心脏解剖的数学描述，用于心脏电激活和机械功能的有限元模型。心脏的几何形状以定义在有限元网格结点处的长球面坐标的形式给出，并通过线性拉格朗日和三次Hermite基函数的组合在单元内进行内插。心脏微结构假设有三个对称轴：一个与肌纤维方向(纤维轴)平行；第二组与纤维方向垂直，位于新发现的心肌片平面(片轴)；第三组与前两组垂直，在片法线方向。狗心的几何形状、纤维轴方向和板轴方向用有限元网格结点处定义的参数进行拟合。纤维和薄片取向参数相对于心室几何形状被定义，使得1)它们可以应用于任何已知尺寸的心脏，以及2)它们可以在不同变形状态下用于同一心脏，例如，在心室收缩的连续模型中需要时。
A mathematical description of cardiac anatomy is presented for use with finite element models of the electrical activation and mechanical function of the heart. The geometry of the heart is given in terms of prolate spheroidal coordinates defined at the nodes of a finite element mesh and interpolated within elements by a combination of linear Lagrange and cubic Hermite basis functions. Cardiac microstructure is assumed to have three axes of symmetry: one aligned with the muscle fiber orientation (the fiber axis); a second set orthogonal to the fiber direction and lying in the newly identified myocardial sheet plane (the sheet axis); and a third set orthogonal to the first two, in the sheet-normal direction. The geometry, fiber-axis direction, and sheet-axis direction of a dog heart are fitted with parameters defined at the nodes of the finite element mesh. The fiber and sheet orientation parameters are defined with respect to the ventricular geometry such that 1) they can be applied to any heart of known dimensions, and 2) they can be used for the same heart at various states of deformation, as is needed, for example, in continuum models of ventricular contraction.