Wikswo J P, Wisialowski T A, Altemeier W A, Balser J R, Kopelman H A, Roden D M
Department of Physics and Astronomy, Vanderbilt University, Nashville, TN 37235.
Circ Res. 1991 Feb;68(2):513-30. doi: 10.1161/01.res.68.2.513.
We have found that when suprathreshold cathodal stimuli were applied to the epicardium of canine ventricle, impulse propagation originated at a "virtual cathode" with dimensions greater than those of the physical cathode. We report the two-dimensional geometry of the virtual cathode as a function of stimulus strength; the results are compared with the predictions of an anisotropic, bidomain model of cardiac conduction recently developed in our laboratories. Data were collected in six pentobarbital-anesthetized dogs by using a small plaque electrode sewn to the left ventricular epicardium. Arrival times at closely spaced bipolar electrodes oriented radially around a central cathode were obtained as a function of stimulus strength and fiber orientation. The dimensions of the virtual cathode were determined by linear back-extrapolation of arrival times to the time of stimulation. The directional dependence of the conduction velocity was consistent with previous reports: at 1 mA, longitudinal (0 degree) and transverse (90 degrees) velocities were 0.60 +/- 0.03 and 0.29 +/- 0.02 m/sec, respectively. At 7 mA, the longitudinal velocity was 0.75 +/- 0.05 m/sec, whereas there was no significant change in the transverse velocity. In contrast to conduction velocity, the virtual cathode was smallest in the longitudinal orientation and largest between 45 degrees and 60 degrees. Virtual cathode size was dependent on both orientation and stimulus strength: at 0 degree, the virtual cathode was small (approximately 1 mm) and relatively constant over the range of 1-7 mA; at oblique orientations (45 degrees-90 degrees), it displayed a roughly logarithmic dependence on stimulus strength, approximately 1 mm at 1 mA and approximately 3 mm at 7 mA. The bidomain, anisotropic model reproduced both the stimulus strength and the fiber-orientation dependence of the virtual cathode geometry when the intracellular and extracellular anisotropies were 10:1 and 4:1, respectively, but not when the two anisotropies were equal. We suggest that the virtual cathode provides a direct measure of the determinants of cardiac activation; its complex geometry appears to reflect the bidomain, anisotropic nature of cardiac muscle.
我们发现,当对犬心室的心外膜施加阈上阴极刺激时,冲动传播起始于一个“虚拟阴极”,其尺寸大于实际阴极。我们报告了虚拟阴极的二维几何形状与刺激强度的函数关系;并将结果与我们实验室最近开发的心脏传导各向异性双域模型的预测结果进行了比较。通过将一个小的片状电极缝在左心室心外膜上,在六只戊巴比妥麻醉的犬身上收集数据。获取围绕中心阴极呈放射状排列的紧密间隔双极电极处的到达时间,作为刺激强度和纤维方向的函数。虚拟阴极的尺寸通过将到达时间线性外推至刺激时刻来确定。传导速度的方向依赖性与先前的报告一致:在1 mA时,纵向(0度)和横向(90度)速度分别为0.60±0.03和0.29±0.02 m/秒。在7 mA时,纵向速度为0.75±0.05 m/秒,而横向速度没有显著变化。与传导速度相反,虚拟阴极在纵向方向上最小,在45度至60度之间最大。虚拟阴极尺寸取决于方向和刺激强度:在0度时,虚拟阴极较小(约1 mm),在1 - 7 mA范围内相对恒定;在倾斜方向(45度 - 90度),它对刺激强度呈现大致对数依赖性,在1 mA时约为1 mm,在7 mA时约为3 mm。当细胞内和细胞外各向异性分别为10:1和4:1时,双域各向异性模型再现了虚拟阴极几何形状的刺激强度和纤维方向依赖性,但当两种各向异性相等时则不能再现。我们认为虚拟阴极提供了对心脏激活决定因素的直接测量;其复杂的几何形状似乎反映了心肌的双域各向异性性质。