Name
Abstract | ||
|---|---|---|
A geometric approach to the activity of membrane equations suggested examining the response of molluscan isopotential somata to K
<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">+</sup>
-channel blockers (four-aminopyridine and tetraethylammonium), [Ca
<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2+</sup>
], and applied currents using conventional and phase plane displays. Multiple equilibria and subcritical and supercritical bifurcations of periodic activity from equilibria are demonstrated, analogous to those obtained for the Hodgkin-Huxley differential system. The molluscan somatic membrane is a more complicated excitation system than the Hodgkin-Huxley equations, and using K
<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">+</sup>
-channel blockers, the bifurcations of periodic activity from periodic activity are also demonstrated. In both the numerical and experimental excitation systems the richness of stable behavior is greater than that seen in the corresponding partial differential systems. Thus the behavior possible in isopotential regions of neurons is more complex than that behavior which can be transmitted by propagating action potentials along long axons. |
Year | DOI | Venue |
|---|---|---|
1983 | 10.1109/TSMC.1983.6313064 | IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS |
Keywords | Field | DocType |
neurophysiology | Tetraethylammonium,Differential systems,Premovement neuronal activity,Control theory,Excitation,Partial derivative,Phase plane,Membrane,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
13 | 5 | 0018-9472 |
Citations | PageRank | References |
1 | 0.79 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Arun V. Holden | 1 | 52 | 20.71 |
| William Winlow | 2 | 1 | 0.79 |