Schwartz Benjamin L, Sadleir Rosalind J
Annu Int Conf IEEE Eng Med Biol Soc. 2015;2015:2299-302. doi: 10.1109/EMBC.2015.7318852.
The recently increasing role in medical imaging that electrophysiology plays has spurned the need for its quantitative analysis at all scales-ions, cells, tissues, organs, etc.; so, here is presented a model of nerve tissue in a spherical volume excited by a point current source at one pole and a point current sink at the opposite pole. The sphere of tissue is described as an isotropic bidomain, consisting of the intra- and extra-cellular regions and the membrane that separates them, and is immersed in an infinite isotropic conductive bath. The system of coupled differential equations is solved by redefining the domains to be in terms of a monodomain and a membrane. The solution takes the form of an infinite sum of the product of certain transcendental functions. The study concludes with a numeric example in which the boundary conditions are shown to be satisfied, validating this analysis, paving the way for more sophisticated models of excitable tissue.
电生理学在医学成像中日益重要的作用促使人们需要对其在所有尺度（离子、细胞、组织、器官等）上进行定量分析；因此，本文提出了一种神经组织模型，该模型存在于一个球形体积中，由一个极点处的点电流源和相对极点处的点电流汇激发。组织球被描述为一个各向同性双域，由细胞内和细胞外区域以及分隔它们的膜组成，并沉浸在无限大的各向同性导电浴中。通过将域重新定义为单域和膜来求解耦合微分方程组。解采用某些超越函数乘积的无穷级数形式。研究以一个数值示例结束，其中显示边界条件得到满足，验证了该分析，为更复杂的可兴奋组织模型铺平了道路。
