S. A. Sadegh Zadeh and C. Kambhampati AllorNone Principle and Weakness of HodgkinHuxley Mathematical Model
486 - 490
2017
11
11
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/10008281
http://waset.org/publications/131
World Academy of Science, Engineering and Technology
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 allornone principle in HodgkinHuxley mathematical model. By implementation the computational model of HodgkinHuxley model and applying the concept of allornone principle, an investigation on this mathematical model has been performed. The results clearly showed that the mathematical model of HodgkinHuxley does not observe this fundamental law in neurophysiology to generating action potentials. This study shows that further mathematical studies on the HodgkinHuxley model are needed in order to create a model without this weakness.
International Science Index 131, 2017