Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment. Fiasconaro, A., Ochab-Marcinek, A., Spagnolo, B., & Gudowska-Nowak, E. European Physical Journal B, 65(3):435-442, 2008. ![Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex We investigate a mathematical model describing the growth of tumor in the presence of immune response of a host organism. The dynamics of tumor and immune cells populations is based on the generic Michaelis-Menten kinetics depicting interaction and competition between the tumor and the immune system. The appropriate phenomenological equation modeling cell-mediated immune surveillance against cancer is of the predator-prey form and exhibits bistability within a given choice of the immune response-related parameters. Under the influence of weak external fluctuations, the model may be analyzed in terms of a stochastic differential equation bearing the form of an overdamped Langevin-like dynamics in the external quasi-potential represented by a double well. We analyze properties of the system within the range of parameters for which the potential wells are of the same depth and when the additional perturbation, modeling a periodic treatment, is insufficient to overcome the barrier height and to cause cancer extinction. In this case the presence of a small amount of noise can positively enhance the treatment, driving the system to a state of tumor extinction. On the other hand, however, the same noise can give rise to return effects up to a stochastic resonance behavior. This observation provides a quantitative analysis of mechanisms responsible for optimization of periodic tumor therapy in the presence of spontaneous external noise. Studying the behavior of the extinction time as a function of the treatment frequency, we have also found the typical resonant activation effect: For a certain frequency of the treatment, there exists a minimum extinction time. © 2008 Springer.
@ARTICLE{Fiasconaro2008435,
author={Fiasconaro, A. and Ochab-Marcinek, A. and Spagnolo, B. and Gudowska-Nowak, E.},
title={Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment},
journal={European Physical Journal B},
year={2008},
volume={65},
number={3},
pages={435-442},
doi={10.1140/epjb/e2008-00246-2},
url={https://www2.scopus.com/inward/record.uri?eid=2-s2.0-54249112239&doi=10.1140%2fepjb%2fe2008-00246-2&partnerID=40&md5=c07a67580c912fdd10530a5c72076021},
abstract={We investigate a mathematical model describing the growth of tumor in the presence of immune response of a host organism. The dynamics of tumor and immune cells populations is based on the generic Michaelis-Menten kinetics depicting interaction and competition between the tumor and the immune system. The appropriate phenomenological equation modeling cell-mediated immune surveillance against cancer is of the predator-prey form and exhibits bistability within a given choice of the immune response-related parameters. Under the influence of weak external fluctuations, the model may be analyzed in terms of a stochastic differential equation bearing the form of an overdamped Langevin-like dynamics in the external quasi-potential represented by a double well. We analyze properties of the system within the range of parameters for which the potential wells are of the same depth and when the additional perturbation, modeling a periodic treatment, is insufficient to overcome the barrier height and to cause cancer extinction. In this case the presence of a small amount of noise can positively enhance the treatment, driving the system to a state of tumor extinction. On the other hand, however, the same noise can give rise to return effects up to a stochastic resonance behavior. This observation provides a quantitative analysis of mechanisms responsible for optimization of periodic tumor therapy in the presence of spontaneous external noise. Studying the behavior of the extinction time as a function of the treatment frequency, we have also found the typical resonant activation effect: For a certain frequency of the treatment, there exists a minimum extinction time. © 2008 Springer.},
keywords={Barrier heights; Bi-stability; Cancer growths; Double wells; External noises; External-; Extinction times; Host organisms; Immune cells; Immune responses; Immune surveillances; Immune systems; Langevin; Modeling; Periodic; Phenomenological equations; Potential wells; Quantitative analyses; Resonant activations; Resonant effects; Stochastic differential equations; Stochastic resonances; Tumor therapies, Differential equations; Dynamics; Immunology; Population statistics; Resonance; Stochastic models; Stochastic programming; Tumors, Mathematical models},
document_type={Article},
source={Scopus},
}
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The dynamics of tumor and immune cells populations is based on the generic Michaelis-Menten kinetics depicting interaction and competition between the tumor and the immune system. The appropriate phenomenological equation modeling cell-mediated immune surveillance against cancer is of the predator-prey form and exhibits bistability within a given choice of the immune response-related parameters. Under the influence of weak external fluctuations, the model may be analyzed in terms of a stochastic differential equation bearing the form of an overdamped Langevin-like dynamics in the external quasi-potential represented by a double well. We analyze properties of the system within the range of parameters for which the potential wells are of the same depth and when the additional perturbation, modeling a periodic treatment, is insufficient to overcome the barrier height and to cause cancer extinction. In this case the presence of a small amount of noise can positively enhance the treatment, driving the system to a state of tumor extinction. On the other hand, however, the same noise can give rise to return effects up to a stochastic resonance behavior. This observation provides a quantitative analysis of mechanisms responsible for optimization of periodic tumor therapy in the presence of spontaneous external noise. 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