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.<\/p>\r\n","references":"[1]\tA. Hodgkin and A. Huxley, \"A quantitative description of membrane current and its application toconduction and excitation in nerve,\" The Journal of Physiology, vol. 117, no. 4, pp. 500-544, 1952. \r\n[2]\tE. D. Adrian, \"The all-or-none principle in nerve,\" The Journal of physiology, vol. 47, no. 6, pp. 460-474, 1914. \r\n[3]\tS. Winkler, \"Comparative mathematical modelling of groundwater pollution (Doctoral dissertation),\" 2014.\r\n[4]\tJ. R. Schwarz and G. Eikhof, \"Na currents and action potentials in rat myelinated nerve fibers at 20 and 37 C,\" European Journal of Physiology, vol. 409, p. 569\u2013577, 1987. \r\n[5]\tS. Y. Chiu, J. M. Ritchie, R. B. Rogart and D. Stagg, \"A quantitative description of membrane currents in rabbit myelinated nerve,\" Journal of Physiology, vol. 292, p. 149\u2013166, 1979. \r\n[6]\tJ. M. Gonz\u00e1lez-Miranda, \"Nonlinear oscillations in a muscle pacemaker cell model\", Communications in Nonlinear Science and Numerical Simulation, vol. 43, p. 330-340, 2017\r\n\r\n","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 131, 2017"}