dorsal/arxiv
View SchemaCo-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response
| Authors | A. Fiasconaro, A. Ochab-Marcinek, B. Spagnolo, E. Gudowska-Nowak |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0602015 |
| URL | https://arxiv.org/abs/q-bio/0602015 |
| DOI | 10.1103/PhysRevE.74.041904 |
| Journal | Physical Review E 74, 041904 (2006) |
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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"abstract": "We investigate a stochastic version of a simple enzymatic reaction which\nfollows the generic Michaelis-Menten kinetics. At sufficiently high\nconcentrations of reacting species, the molecular fluctuations can be\napproximated as a realization of a Brownian dynamics for which the model\nreaction kinetics takes on the form of a stochastic differential equation.\nAfter eliminating a fast kinetics, the model can be rephrased into a form of a\none-dimensional overdamped Langevin equation. We discuss physical aspects of\nenvironmental noises acting in such a reduced system, pointing out the\npossibility of coexistence of dynamical regimes where noise-enhanced stability\nand resonant activation phenomena can be observed together.",
"arxiv_id": "q-bio/0602015",
"authors": [
"A. Fiasconaro",
"A. Ochab-Marcinek",
"B. Spagnolo",
"E. Gudowska-Nowak"
],
"categories": [
"q-bio.PE"
],
"doi": "10.1103/PhysRevE.74.041904",
"journal_ref": "Physical Review E 74, 041904 (2006)",
"title": "Co-occurrence of resonant activation and noise-enhanced stability in a model of cancer growth in the presence of immune response",
"url": "https://arxiv.org/abs/q-bio/0602015"
},
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