An Application of Stochastic Hybrid Systems

Subject Applied Mathematics
Title An Application of Stochastic Hybrid Systems
Author(s) Nurgül Gökgöz, Hakan Öktem
Keywords stochastic hybrid systems, memory, regulatory gene networks, tumor-immune dynamics
Abstract

Hybrid systems exhibits both continuous(differential equations) and discrete(Boolean variables) dynamic behavior. Hybrid systems are useful because of flexibility properties in modelling dynamic phenomena. Including stochastic calculus into the model, more accurate results can be obtained. Most complex systems in real life are inherently stochastic in nature. Tumor growth involve some complex dynamics like immune system responses.

In this study, an application of stochastic hybrid systems into the tumor-immune system will be introduced and analyzed.