Attractor analysis of the asynchronous boolean model of the klotho gene regulatory network

Abstract

When analyzing the state space attractors and their basin of attraction, two main methods have been used: the synchronous update method and the asynchronous update method. Although its simplicity, the synchronous update fails to consider various time scales of the chemical processes between the components within the network. To overcome this limitations, several asynchronous methods have been developed. In this work, we use two different asynchronous methods to study the dynamics of the wild-type and perturbed Klotho gene and carry out comparative results with previously published results. Prior evidence shows that the system develops oscillations and a fixed point. The numerical results of the both asynchronous methods show that, the system’s oscillations disappear and the system undergo in only one time-invariant fixed point, leading to an extended attractor. This work aims to highlight different behavior of the Klotho gene under various internal and external perturbations.