Trayanova N, Henriquez C S
National Science Foundation-Engineering Research Center, Duke University, Durham, North Carolina 27706.
Math Biosci. 1991 Apr;104(1):59-72. doi: 10.1016/0025-5564(91)90030-m.
Previous models based on a cylindrical bidomain assumed either that the ratio of intracellular and interstitial conductivities in the principal directions were the same or that there was no radial variation in potential (i.e., a planar front, delta Vm/delta rho = 0). This paper presents a formulation and the expressions for the intracellular, interstitial, extracellular, and transmembrane potentials arising from nonplanar propagation along a cylindrical bundle of cardiac tissue represented as a bidomain with arbitrary anisotropy. For unequal anisotropy, the transmembrane current depends not only on the local change of the transmembrane potential but also on the nature of the transmembrane potential throughout the volume.
以往基于圆柱双域模型的研究，要么假定主方向上细胞内电导率与细胞间质电导率之比相同，要么假定电位不存在径向变化（即平面波前，ΔVm/Δρ = 0）。本文给出了一个公式，以及由沿着具有任意各向异性的圆柱状心脏组织束的非平面传播产生的细胞内、细胞间质、细胞外和跨膜电位的表达式。对于各向异性不相等的情况，跨膜电流不仅取决于跨膜电位的局部变化，还取决于整个体积内跨膜电位的性质。
