In this work we present a new model of the beating heart. The model is described by a one-dimensional nonlinear discrete dynamical system which depends on several parameters. Applying stability analysis we find those domains in the parameter space in which the equilibrium point of the system (the fixed point) is an attractor and in which it is unstable. We show that these cases correspond to a normal and abnormal beating heart, i.e. when the heart ejects time invariant and time variant stable stroke volumes, respectively. On transition between these domains there is a bifurcation which gives rise to a pair of attracting points of period 2. It is shown that this corresponds to a special case of abnormal beating heart called mechanical alternance.
|Number of pages||5|
|State||Published - 1989|
|Event||1989 IEEE International Conference on Control and Applications, ICCON 1989 - Jerusalem, Israel|
Duration: 3 Apr 1989 → 6 Apr 1989
|Conference||1989 IEEE International Conference on Control and Applications, ICCON 1989|
|Period||3/04/89 → 6/04/89|
Bibliographical notePublisher Copyright:
© ICCON 1989 - IEEE International Conference on Control and Applications, Proceedings.