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Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response

A. Fiasconaro·A. Ochab-Marcinek·B. Spagnolo·E. Gudowska-Nowak
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Abstract

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.

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A. Fiasconaro, A. Ochab-Marcinek, B. Spagnolo, E. Gudowska-Nowak. 2007-05-24. Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response. https://doi.org/10.1103/physreve.74.041904

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