@article{(Open Science Index):https://publications.waset.org/pdf/10008281,
	  title     = {All-or-None Principle and Weakness of  Hodgkin-Huxley Mathematical Model},
	  author    = {S. A. Sadegh Zadeh and  C. Kambhampati},
	  country	= {},
	  institution	= {},
	  abstract     = {Mathematical and computational modellings are the necessary tools for reviewing, analysing, and predicting processes and events in the wide spectrum range of scientific fields. Therefore, in a field as rapidly developing as neuroscience, the combination of these two modellings can have a significant role in helping to guide the direction the field takes. The paper combined mathematical and computational modelling to prove a weakness in a very precious model in neuroscience. This paper is intended to analyse all-or-none principle in Hodgkin-Huxley mathematical model. By implementation the computational model of Hodgkin-Huxley model and applying the concept of all-or-none principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of Hodgkin-Huxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the Hodgkin-Huxley model are needed in order to create a model without this weakness.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {11},
	  number    = {11},
	  year      = {2017},
	  pages     = {486 - 490},
	  ee        = {https://publications.waset.org/pdf/10008281},
	  url   	= {https://publications.waset.org/vol/131},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 131, 2017},
	}