Willms Allan R
Department of Mathematics and Statistics, Biomathematics Research Centre, University of Canterbury, Private Bag 4800, Christchurch, New Zealand.
J Neurosci Methods. 2002 Dec 15;121(2):139-50. doi: 10.1016/s0165-0270(02)00227-3.
I introduce publicly available software for accurate fitting of Hodgkin-Huxley models to voltage-clamp data. I describe the model and non-linear fitting procedure employed by the software and compare its results with the usual method of fitting such models using potassium A-current data from a pyloric dilator cell of the lobster Panulirus interruptus and sodium current data from an electrocyte cell of the electric fish Sternopygus macrurus. The set of parameter values for the model determined by this software yield current traces that are substantially closer to the observed data than those determined from the usual fitting method. This improvement is due to the fact that the software fits all of the parameters simultaneously utilizing all of the data rather than fitting steady-state and time constant parameters disjointly using peak currents and portions of the rising and falling phases. I analyze the convergence properties of the software's fitting algorithm using simulated data showing that accurate parameter values are obtained for most of the parameters using any reasonable initial values. The software also incorporates a linear pre-estimation procedure to help in determining reasonable initial values for the full non-linear algorithm. I illustrate and discuss some of the inadequacies of voltage-clamp data.
我介绍了一种公开可用的软件，用于将霍奇金-赫胥黎模型精确拟合到电压钳数据。我描述了该软件所采用的模型和非线性拟合程序，并将其结果与使用龙虾Panulirus interruptus幽门扩张肌细胞的钾离子A电流数据以及电鱼Sternopygus macrurus电细胞的钠离子电流数据拟合此类模型的常用方法进行了比较。该软件确定的模型参数值集所产生的电流轨迹比通过常用拟合方法确定的电流轨迹更接近观测数据。这种改进是由于该软件利用所有数据同时拟合所有参数，而不是使用峰值电流以及上升和下降阶段的部分数据分别拟合稳态和时间常数参数。我使用模拟数据分析了该软件拟合算法的收敛特性，结果表明使用任何合理的初始值都能为大多数参数获得准确的参数值。该软件还包含一个线性预估计程序，以帮助确定完整非线性算法的合理初始值。我举例说明了并讨论了电压钳数据的一些不足之处。
