Name
Abstract | ||
|---|---|---|
Motivated by modern physiology, cellular automata of Greenberg-Hastings type is considered. The basic cell of the system performs a cyclic 3-state intrinsic dynamics F -> R -> A -> F -> ... which is delimited by time intervals n(F), n(R), n(A) of steps spent by the cell in particular states. It is shown that proposed cellular automata can be thought as a reliable approximate model to the real cardiac pacemaker. The time intervals determine the period of the whole pacemaker beating. The relation between n(R) and n(F) works as a switch between two types of global dynamics: active dynamics where permanent mutual impacts between cells generate the most frequent impulses, and passive dynamics which is distinguished by the special self-organization of phases between the subsequent cells. The passive dynamics allows to propagate signals from the outside world while the active dynamics protects the system against external influence. |
Year | Venue | Keywords |
|---|---|---|
2010 | JOURNAL OF CELLULAR AUTOMATA | Greenberg-Hastings cellular automata,excitable media,sinus node |
Field | DocType | Volume |
Cellular automaton,Topology,Discrete mathematics,Cardiac pacemaker,Passive dynamics,Computer science,Algorithm | Journal | 5 |
Issue | ISSN | Citations |
SP6 | 1557-5969 | 0 |
PageRank | References | Authors |
0.34 | 1 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Danuta Makowiec | 1 | 6 | 4.74 |