Improving clinical conditions by enlarging tumor dormant state based on design equilibrium state by lyapunov stability theorem

Abstract

In this study, a novel method is proposed in which designs equilibrium point of tumor model in order to decrease the density of tumor cells as well as makes the possibility of controlling desirable clinical situation to improve desirable clinical conditions by enlarging tumor dormant state. The tumor dormancy means that all tumor cells are in cell-cycle arrest or a dynamic equilibrium state in which cells proliferation are in balance with cells undergoing apoptosis and the tumor growth is blocked. Therefore, this equilibrium represents a desirable clinical condition. If the trajectories of the describing dynamic systems belong to a specific region denoted by domain of attraction, then the convergence of system to the healthy steady state is guaranteed for this equilibrium point, the domain of attraction is a set of desired clinical conditions. This problem is indicated in form of the two layer global multi objective function optimization. © Maxwell Scientific Organization, 2013.