Homotopy analysis of homeostatic mechanisms in a feedforward network

One of the significant phenomena in the regulation of biological systems is homeostasis. Homeostasis occurswhen an output variable is roughly constant while there is a variation of an input parameter on an interval. Insome networks such as feedforward networks, some nodes will inherit homeostasis from other nodes. Thisphenomenon is studied from the point of view dynamical system by Golubitsky and his colleagues. In thisstudy, we consider a feedforward network. By using dynamical system theory, we study the behavior ofnodes near homeostasis points. It should be pointed out that if a node of the network has a bifurcation pointcoinciding with the homeostasis point then some switch-like response or stable clock rhythms reveals innetworks. We use the homotopy analysis method to give an approximate solution of this network. Thismethod allows us to calculate the solution of the system in the form of an infinite series.

کلیدواژه ها:

Homeostatisis ، Network ، Homotopy analysis method