Effects of Maximal Sodium and Potassium Conductance on the Stability of Hodgkin-Huxley Model
Joint Authors
Yuan, Yongfeng
Sui, Dong
Zhang, Yue
Zhang, Henggui
Wang, Kuanquan
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Hodgkin-Huxley (HH) equation is the first cell computing model in the world and pioneered the use of model to study electrophysiological problems.
The model consists of four differential equations which are based on the experimental data of ion channels.
Maximal conductance is an important characteristic of different channels.
In this study, mathematical method is used to investigate the importance of maximal sodium conductance g-Na and maximal potassium conductance g-K.
Applying stability theory, and taking g-Na and g-K as variables, we analyze the stability and bifurcations of the model.
Bifurcations are found when the variables change, and bifurcation points and boundary are also calculated.
There is only one bifurcation point when g-Na is the variable, while there are two points when g-K is variable.
The (g-Na, g-K) plane is partitioned into two regions and the upper bifurcation boundary is similar to a line when both g-Na and g-K are variables.
Numerical simulations illustrate the validity of the analysis.
The results obtained could be helpful in studying relevant diseases caused by maximal conductance anomaly.
American Psychological Association (APA)
Zhang, Yue& Wang, Kuanquan& Yuan, Yongfeng& Sui, Dong& Zhang, Henggui. 2014. Effects of Maximal Sodium and Potassium Conductance on the Stability of Hodgkin-Huxley Model. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-496744
Modern Language Association (MLA)
Zhang, Yue…[et al.]. Effects of Maximal Sodium and Potassium Conductance on the Stability of Hodgkin-Huxley Model. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-496744
American Medical Association (AMA)
Zhang, Yue& Wang, Kuanquan& Yuan, Yongfeng& Sui, Dong& Zhang, Henggui. Effects of Maximal Sodium and Potassium Conductance on the Stability of Hodgkin-Huxley Model. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-496744
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496744