Estimation of Domains of Attraction of Tumor Dormancy Equilibriums

G. MATALLANA PEREZ; A. BLANCO; A. BANDONI

Rosario, Argentina

Congreso; XVII Congreso Argentino de Bioingeniería y VI Jornadas de Ingeniería Clínica, SABI-2009; 2009

In the last years many models have been proposed to study the behavior of tumor development. Among them those based in a prey-predator approach provide a framework to analyze the interaction between malignant and immune system cells within the body. Since stochastic perturbations of the state variables can be externally induced on the system, an estimation of the region where tumor dormancy is recovered might be clinically useful. In this contribution, a Lyapunov based approach for the estimation of the domain of attraction of a dormancy equilibrium of a tumor growth model is proposed. An analysis of the effect of the value of a therapeutic related parameter is also provided.