Zhou Y
Department of Mathematics and Computer Science, Rhode Island College, Providence 02908, USA.
Math Biosci. 1998 Mar;148(2):205-25. doi: 10.1016/s0025-5564(97)10006-2.
A model of dendritic spines uniformly distributed along a dendrite cable with the Nagumo dynamics for active membrane spine activity is considered. We show analytically the existence and uniqueness of traveling front solutions for a wide range of parameters including the spine density and the resistance between spine heads and dendrites. And such wave front travels at a slower speed for a larger spine density. Numerical simulations support the above results.
考虑了一种沿树突电缆均匀分布的树突棘模型，其具有用于活跃膜棘活动的南云动力学。我们通过分析表明，对于包括棘密度以及棘头与树突之间电阻在内的广泛参数范围，行波前解的存在性和唯一性。并且对于更大的棘密度，这种波前传播速度更慢。数值模拟支持上述结果。
