Document Type : Full Research Paper


1 Assistant Professor, Biomedical Engineering Department,School of Electrical Engineering,Iran University of Science & Technology,Tehran,Iran

2 PhD Candidate, Biomedical Engineering Department,School of Electrical Engineering,Iran University of Science & Technology,Tehran,Iran



Time constant is a physical concept that one may deduce the speed of response and reaction of a system from it. Experimental findings confirm the dependency of the speed of opening-closing of ionic channels to the membrane voltage. In this paper a model for time constant of membrane voltage in neurons has been presented. At first, the presented model has been established as a theorem and then the theorem has been proved. According to the presented theorem, one can simulate different morphology and time course of action potential (AP) in neurons by adjusting the model parameters. The validation of the presented theorem (model) has been shown by simulation examples of some kinds of neurons and cells APs. Regarding the generality of the presented theorem, our model not only can be applied in biomedical systems but also it may be used in any physical systems.


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