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

Source: [Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response](<https://www.sota2.com/research/paper/68fa5e9a1e209131ce9e3be3>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T18:53:48.285Z

Authors: A. Fiasconaro, A. Ochab-Marcinek, B. Spagnolo, E. Gudowska-Nowak

Published: 2006-02-13T15:22:27.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/q-bio/0602015>)

[PDF](<https://arxiv.org/pdf/q-bio/0602015.pdf>)