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On Bioelectric Potentials in an Inhomogeneous Volume Conductor

机译:非均匀体积导体中的生物电势

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摘要

Green's theorem is used to derive two sets of expressions for the quasi-static potential distribution in an inhomogeneous volume conductor. The current density in passive regions is assumed to be linearly related instantaneously to the electric field. Two equations are derived relating potentials to an arbitrary distribution of impressed currents. In one, surfaces of discontinuity in electrical conductivity are replaced by double layers and in the other, by surface charges. A multipole equivalent generator is defined and related both to the potential distribution on the outer surface of the volume conductor and to the current sources. An alternative result involves the electric field at the outer surface rather than the potential. Finally, the impressed currents are related to electrical activity at the membranes of active cells. The normal component of membrane current density is assumed to be equal at both membrane surfaces. One expression is obtained involving the potentials at the inner and outer surfaces of the membrane. A second expression involves the transmembrane potential and the normal component of membrane current.
机译:格林定理用于推导两组不均匀体积导体中准静态电势分布的表达式。假定无源区域中的电流密度与电场瞬时线性相关。得出两个方程,将电位与施加电流的任意分布相关。一方面,电导率不连续的表面被双层代替,而另一方面,被表面电荷代替。定义了一个多极等效发生器,并将其与体积导体外表面上的电位分布以及电流源相关。替代结果涉及外表面的电场而不是电势。最后,施加的电流与活性细胞膜上的电活动有关。假定膜电流密度的法向分量在两个膜表面都相等。获得了一种涉及膜的内表面和外表面的电势的表达式。第二种表达涉及跨膜电位和膜电流的正常分量。

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