| Autor: |
A E, Milne, Z S, Chalabi |
| Rok vydání: |
1999 |
| Předmět: |
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| Zdroj: |
IMA journal of mathematics applied in medicine and biology. 15(4) |
| ISSN: |
0265-0746 |
| Popis: |
A stability analysis is carried out for a mathematical model which describes the electrical firing of a single vasopressin neuron. The model used in a FitzHugh-Nagumo-type system which is driven by impulses. The analysis is based on recent developments in the stability theory of impulsive differential equations. Conditions are derived under which the system of differential equations is stable at two of its equilibrium points. Biologically this bistability represents the cell alternating between periods of electrical activity and silence. The conditions for stability are specified in terms of the amplitude and frequency of the impulses perturbing the system. Both stochastic and deterministic impulses are considered. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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