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机构地区:[1]上海大学生命科学学院,上海200436 [2]上海大学上海市应用数学和力学研究所,上海200072
出 处:《应用数学和力学》2005年第2期137-144,共8页Applied Mathematics and Mechanics
摘 要: 在一定的胞外环境刺激下,蛙交感神经细胞内存在一类沿着细胞膜径向向内传播的孤立脉冲钙波· 该文建立了一个描述蛙交感神经细胞内的钙波动力学模型· 在分段线性近似下,模型方程在形式上等同于Sneyd的方程· 因此,应用Sneyd的求解方法,我们得到了一维孤立脉冲波速和波形的解析表达式· 所求得的孤立钙波的波速为21.5μm/s。In certain extracellular environments, there would appear a kind of solitary pulse calcium waves in Rana pipiens sympathetic neurons, propagating inwards along the radial direction from the plasma membrane. To gain a deeper insight into the waves, a model describing intracellular calcium waves in frog sympathetic neurons was established. In the piecewise linear approximation, the present model is identical to the Sneyd model. Thus, with (Sneyd's) method, analytical expressions for the wave speed and profiles of 1-D solitary pulse wave were obtained. A wave speed of (21.5 μm/s) was deduced, which agrees rather well with experimental data.
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