A BIDOMAIN MODEL FOR ANISOTROPIC CARDIAC-MUSCLE
A BIDOMAIN MODEL FOR ANISOTROPIC CARDIAC-MUSCLE
复制标题
DOI：
10.1007/bf02363286
复制
发表时间：
1983-01-01
影响因子：
3.8
通讯作者：
MILLER, WT
中科院分区：
文献类型：
--
作者：
GESELOWITZ, DB;MILLER, WT
心肌被认为由细胞内结构域和细胞外结构域或间质结构域组成。电流通过细胞膜从一个区域传递到另一个区域。间隙内的电势与与细胞跨膜动作电位φm的空间梯度成正比的电流源有关。因此，已知φm在整个心肌中的分布，就可以计算表面心电图和体外心电图。当考虑各向异性时，问题就相当复杂了。然而，如果间隙空间近似各向同性，则源仍然与∇φm成正比。结果表明，细胞内各向异性对表面心电图的影响可能相对较小。考虑到心磁图与心电图的关系，简要地讨论了逆问题。最后，证明了如果心脏可以被一个封闭曲面所包围，那么在没有内部不连续的情况下，该曲面的φmon值与表面心电图在一个常数内是唯一相关的。然而，这种不连续性在缺血和坏死的情况下会发生。
Cardiac muscle is considered to consist of an intracellular domain and an exracellular or interstitial domain. Current passes from one domain to the other through the cell membrane. Electric potentials in interstitial space are shown to be associated with current sources proportional to the spatial gradient of the cellular transmembrane action potential, φm. Hence, given the distribution of φmthroughout the myocardium, one can calculate the surface electrocardiogram and extracorporeal magnetocardiogram. The problem is considerably complicated when anisotropy is considered. If interstitial space is approximately isotropic, however, the sources are still proportional to ∇φm. It is shown that the effects of intracellular anisotropy on the surface electrocardiogram may be relatively small. The inverse problem is discussed briefly, with consideration of the relationship of the magnetocardiogram to the electrocardiogram. Finally, it is shown that if the heart can be considered to be bounded by a closed surface, then the value of φmon this surface is uniquely related to the surface electrocardiogram to within a constant, provided there are no internal discontinuities. Such discontinuities, however, would be expected to occur in cases of ischemia and necrosis.