A software for simulating steady-state properties of passive dendrites based on the cable theory

In this study, a computer software, CableTeo, is introduced for simulating the steady-state electrical properties of passive dendrite based on the cable theory. The cable theory for dendritic neurons addresses to current-voltage relations in a continuous passive dendritic tree. It is briefly summarized that the cable theory related to passive cables and dendrites, which is a useful approximation and an important reference for excitable cases. The proposed software can be used to construct user-defined dendritic tree model. The user can define the model in detail, display the constructed dendritic tree, and examine the basic electrical properties of the dendritic tree using transfer impedance approach. The software addresses to ones who want to run simple simulations of the cable theory without need to any programming language skills or expensive software. It can also be used for educational purposes.

[1]  D. Johnston,et al.  Foundations of Cellular Neurophysiology , 1994 .

[2]  C. Koch,et al.  Multiple channels and calcium dynamics , 1989 .

[3]  Rita Canella,et al.  A model of signal processing at a mammalian sympathetic neurone , 1998, Journal of Neuroscience Methods.

[4]  Angus M. Brown.  Simulation of axonal excitability using a Spreadsheet template created in Microsoft Excel , 2000, Comput. Methods Programs Biomed..

[5]  Christof Koch,et al.  Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series) , 1998 .

[6]  P. Revest.  Neurosim for windows by W.J. Heitler, BIOSOFT, 1995, £150.00 , 1995, Trends in Neurosciences.

[7]  C. Koch,et al.  Methods in Neuronal Modeling: From Ions to Networks , 1998 .

[8]  Izchak Z. Steinberg,et al.  On the analytic solution of electrotonic spread in branched passive dendritic trees , 1996, Journal of Computational Neuroscience.

[9]  J Rinzel,et al.  Branch input resistance and steady attenuation for input to one branch of a dendritic neuron model. , 1973, Biophysical journal.

[10]  Erik De Schutter,et al.  A consumer guide to neuronal modeling software , 1992, Trends in Neurosciences.

[11]  J. Cowan,et al.  Transient potentials in dendritic systems of arbitrary geometry. , 1974, Biophysical journal.

[12]  J. Jack,et al.  Electric current flow in excitable cells , 1975 .

[13]  W. Rall.  Cable theory for dendritic neurons , 1989 .

[14]  Yalcin Isler,et al.  A computer software for simulating single-compartmental model of neurons , 2004, Comput. Methods Programs Biomed..

[15]  Andreas Schierwagen,et al.  An equivalent cable model for neuronal trees with active membrane , 1998, Biological Cybernetics.

[16]  J Rinzel,et al.  Transient response in a dendritic neuron model for current injected at one branch. , 1974, Biophysical journal.

[17]  W. Rall.  Membrane time constant of motoneurons. , 1957, Science.

[18]  W. Rall.  Membrane potential transients and membrane time constant of motoneurons. , 1960, Experimental neurology.

[19]  W. Rall.  Electrophysiology of a dendritic neuron model. , 1962, Biophysical journal.

[20]  Bomje Woo,et al.  Reduced Model and Simulation of Neuron with Passive Dendritic Cable: An Eigenfunction Expansion Approach , 2005, Journal of Computational Neuroscience.

[21]  E. De Schutter,et al.  Computer software for development and simulation of compartmental models of neurons , 1989 .

[22]  A M Brown,et al.  A methodology for simulating biological systems using Microsoft Excel. , 1999, Computer methods and programs in biomedicine.

[23]  W. Rall.  Branching dendritic trees and motoneuron membrane resistivity. , 1959, Experimental neurology.

[24]  Christof Koch,et al.  A simple algorithm for solving the cable equation in dendritic trees of arbitrary geometry , 1985, Journal of Neuroscience Methods.

[25]  Idan Segev,et al.  Compartmental models of complex neurons , 1989 .

[26]  Nicholas T. Carnevale,et al.  The NEURON Simulation Environment , 1997, Neural Computation.