不同几何和物理条件下空间常数概念的探讨
Exploring the notion of space constant under different geometric and physical conditions
摘要：
电缆方程是描述神经元树突中电压演变的二阶抛物偏微分方程。在这里，我们将研究在线性、无源传输以及非线性有源传输的情况下计算lambda（空间常数/可变空间常数/长度参数）的各种方法。形态学的变化被考虑在内，包括锥形树突的情况下，分支的树突，具有锥度或耀斑的分支的树突。探讨了可变膜电阻的情况以及输入电阻与空间常数的关系。最后给出了钙在枝晶中扩散的反应扩散方程和相应的空间常数。
英文摘要：
The cable equation is a second order, parabolic, partial differential equation that describes the evolution of voltage in the dendrite of a neuron. Here we look at the various ways in which lambda(space constant/ variable space constant/length parameter) is calculated in the cases of linear, passive transmission as well as nonlinear active transmission. Changes in morphology are taken into account by including the case of tapering dendrite, branched dendrites, branched dendrites with taper or flare. The case of variable membrane resistance and the relationship between input resistance and space constant is explored. Finally the reaction diffusion equation governing the diffusion of calcium in dendrites and space constant associated with that is described.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
