1st International and 10th National Iranian Conference on Bioinformatics
Home Accepted Papers
Homotopy analysis of homeostatic mechanisms in a feedforward network
Paper ID : 1472-ICB10
Authors:
Zohreh Dadi *1, Fatemeh Mohammadi2
1university of Bojnord
2University of BOjnord
Abstract:
One of the significant phenomena in the regulation of biological systems is homeostasis. Homeostasis occurs when an output variable is roughly constant while there is a variation of an input parameter on an interval. In some networks such as feedforward networks, some nodes will inherit homeostasis from other nodes. This phenomenon is studied from the point of view dynamical system by Golubitsky and his colleagues, [1, 2, 3]. In this study, we consider a feedforward network. By using dynamical system theory, we study the behavior of nodes near homeostasis points. It should be pointed out that if a node of the network has a bifurcation point coinciding with the homeostasis point then some switch-like response or stable clock rhythms reveals in networks. We use the homotopy analysis method to give an approximate solution of this network. This method allows us to calculate the solution of the system in the form of an infinite series.
Keywords:
Homeostatisis; Network; Homotopy analysis method.
Status : Paper Accepted (Poster Presentation)