Noise-induced Periodicity: Some Stochastic Models for Complex Biological Systems

被引：10
|
作者：
Pra, Paolo Dai [1 ]
Giacomin, Giambattista [2 ]
Regoli, Daniele [1 ]
机构：
[1] Univ Padua, Dipartimento Matemat, Via Trieste 63, I-35121 Padua, Italy
[2] Univ Paris Diderot, UFR Math, F-75205 Paris 13, France
来源：
MATHEMATICAL MODELS AND METHODS FOR PLANET EARTH | 2014年 / 6卷
关键词：
PHASE-TRANSITIONS; OSCILLATIONS; RELAXATION; UNIQUENESS; NETWORK;
D O I：
10.1007/978-3-319-02657-2_3
中图分类号：
P [天文学、地球科学];
学科分类号：
07 ;
摘要：
After a review of some examples of life science stochastic models, we propose a stylized model with characteristics inspired by the examples above, reproducing noise-induced pulsations as a collective macroscopic phenomenon.
引用
收藏
页码：25 / 35
页数：11
相关论文
共 50 条
  • [1] NOISE-INDUCED TRANSITIONS IN BIOLOGICAL-SYSTEMS
    HORSTHEMKE, W
    BIOPHYSICAL JOURNAL, 1988, 53 (02) : A623 - A623
  • [2] Stochastic storage models and noise-induced phase transitions
    Shpyrko, S.
    Ryazanov, V. V.
    EUROPEAN PHYSICAL JOURNAL B, 2006, 54 (03): : 345 - 354
  • [3] Stochastic storage models and noise-induced phase transitions
    S. Shpyrko
    V. V. Ryazanov
    The European Physical Journal B - Condensed Matter and Complex Systems, 2006, 54 : 345 - 354
  • [4] Noise-induced spatial periodicity in excitable chemical media
    Perc, M
    CHEMICAL PHYSICS LETTERS, 2005, 410 (1-3) : 49 - 53
  • [5] Noise-induced periodicity in a frustrated network of interacting diffusions
    Elisa Marini
    Luisa Andreis
    Francesca Collet
    Marco Formentin
    Nonlinear Differential Equations and Applications NoDEA, 2023, 30
  • [6] Noise-induced desynchronization and stochastic escape from equilibrium in complex networks
    Tyloo, M.
    Delabays, R.
    Jacquod, Ph
    PHYSICAL REVIEW E, 2019, 99 (06):
  • [7] Noise-induced periodicity in a frustrated network of interacting diffusions
    Marini, Elisa
    Andreis, Luisa
    Collet, Francesca
    Formentin, Marco
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 30 (03):
  • [8] Optimizing periodicity and polymodality in noise-induced genetic oscillators
    Rue, Pau
    Sueel, Guerol M.
    Garcia-Ojalvo, Jordi
    PHYSICAL REVIEW E, 2011, 83 (06):
  • [9] Persistency of noise-induced spatial periodicity in excitable media
    Perc, M
    EUROPHYSICS LETTERS, 2005, 72 (05): : 712 - 718
  • [10] Validating models of complex, stochastic, biological systems
    Brown, TN
    Kulasiri, D
    ECOLOGICAL MODELLING, 1996, 86 (2-3) : 129 - 134
12345