%0 Journal Article
%T Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response
%A A. Fiasconaro
%A A. Ochab-Marcinek
%A B. Spagnolo
%A E. Gudowska-Nowak
%J Quantitative Biology
%D 2006
%I arXiv
%R 10.1103/PhysRevE.74.041904
%X We investigate a stochastic version of a simple enzymatic reaction which follows the generic Michaelis-Menten kinetics. At sufficiently high concentrations of reacting species, the molecular fluctuations can be approximated as a realization of a Brownian dynamics for which the model reaction kinetics takes on the form of a stochastic differential equation. After eliminating a fast kinetics, the model can be rephrased into a form of a one-dimensional overdamped Langevin equation. We discuss physical aspects of environmental noises acting in such a reduced system, pointing out the possibility of coexistence of dynamical regimes where noise-enhanced stability and resonant activation phenomena can be observed together.
%U http://arxiv.org/abs/q-bio/0602015v2