✦ LIBER ✦
Ionic channel density of excitable membranes can act as a bifurcation parameter
✍ Scribed by A. V. Holden; M. Yoda
- Book ID
- 104727583
- Publisher
- Springer-Verlag
- Year
- 1981
- Tongue
- English
- Weight
- 753 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0340-1200
No coin nor oath required. For personal study only.
✦ Synopsis
As the maximal K+-conductance (or K+-channel density) of the Hodgkin-Huxley equations is reduced, the stable resting membrane potential bifurcates at a subcritical Hopf bifurcation into small amplitude unstable oscillations. These small amplitude solutions jump to large amplitude periodic solutions that correspond to a repetitive discharge of action potentials. Thus the specific channel density can act as a bifurcation parameter, and can control the excitability and autorhythmicity of excitable membranes.