@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}, }