Mathematical formalism for agent-based model of proteins interaction inside cancer cell

Abstract

. Agent-based models can be used to describe a wide range of complex systems, in which the constituent elements (agents) communicate with one another and the system’s global dynamics are governed by the local interactions among the agents. Because formal analysis of complex multi-agent systems is challenging, computer simulations are frequently used to investigate them. While computer simulations are extremely valuable, their results are not formally validated by the observed behavior. As a result, a mathematical framework for representing multi-agent systems and formally establishing their properties is required. One such framework is that which translate the Agent based model to polynomial dynamical system. The aim of this work is to represent our existing Agent based model for the interaction of proteins within cancer cell using mathematical formulation and to analyze its dynamic.