Analysis of hodgkin-huxley model for the control of animal excitable cell volume
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Date
2010
Authors
Journal Title
Journal ISSN
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Publisher
University of Dar es Salaam
Abstract
Fourty-seven years ago, in 1963, Alan Hodgkin, Andrew Huxley, and Sir John Eccles were awarded the Nobel prize in physiology or medicine for their discoveries concerning the mechanisms involved in excitation and inhibition in the peripheral and central portions of the nerve cell membrane. They proved the transport of potassium and sodium ions through nerve membranes is possible due to the presence of ion selective channels that control biological electrical signling, and that the frequency of ion transport through the channels can be as high 108 per second. This work gives a short description of Hodgkin-Huxley model (HH- model) and presents a summary of its numerical analysis with focus on varying applied current as to different forms which are Constant (steady), Linear and Stochastic (unsteady).We have described Runge-Kutta method as a numerical method used to solve the model. However this method is incorporated in the softwares that are used to carry out numerical simulations. Results on numerical simulations of the model show that a fluctuating applied current with higher amplitude of oscillation causes an action potential to occur faster than the one with less amplitude of oscillation. Therefore the unsteady current with higher amplitude of oscillation is the best in testing the vitality of a cell and hence its volume control.
Description
Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QH604.S23)
Keywords
Hodgkin-huxley, Cell
Citation
Sagamiko, T.D (2010) Analysis of hodgkin-huxley model for the control of animal excitable cell volume, Master of Science (Mathematical Modelling), University of Dar es Salaam. Dar es Salaam.