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Oscillatory dynamics in a simple gene regulatory network mediated by small RNAs
Shen, Jianwei; Liu, Zengrong; Zheng, Weixing; Xu, Fengdan; … - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 14, pp. 2995-3000
More and more experiments show that small RNAs regulate gene expression by repressing translation of messenger RNAs (mRNAs) or degrading mRNAs. In this paper, we incorporate the small RNAs into a simple gene regulatory network and investigate its dynamical behaviors. In addition, we also derive...
Persistent link: https://www.econbiz.de/10010874936
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Model for Twitter dynamics: Public attention and time series of tweeting
Ko, J.; Kwon, H.W.; Kim, H.S.; Lee, K.; Choi, M.Y. - In: Physica A: Statistical Mechanics and its Applications 404 (2014) C, pp. 142-149
We present a simple mathematical model for the Twitter dynamics, and use the model to extract the information-sharing tendencies on two time scales, day and hour, about three contenders in the 2012 presidential election in South Korea. Comparison of the model results with actual data...
Persistent link: https://www.econbiz.de/10010931540
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Dynamical mechanism of Bmal1/Rev-erbα loop in circadian clock
Li, Ying; Liu, Zengrong - In: Physica A: Statistical Mechanics and its Applications 430 (2015) C, pp. 126-135
In mammals, the circadian clock is driven by multiple integrated transcriptional feedback loops involving three kinds of central clock-controlled elements (CCEs): E-boxes, D-boxes and ROR-elements. With the aid of CCEs, the concentrations of the active proteins are approximated by the delayed...
Persistent link: https://www.econbiz.de/10011264530
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An interplay model for rumour spreading and emergency development
Zhang, Zi-li; Zhang, Zi-qiong - In: Physica A: Statistical Mechanics and its Applications 388 (2009) 19, pp. 4159-4166
Rumours influence how people make decisions in an emergency-affected environment. Conversely, the development of situation is affected by public action as well. We present a model for describing the interplay between rumour spreading and emergency development. Then, we describe a formulation of...
Persistent link: https://www.econbiz.de/10010589178
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A quantitative study of the dynamics of adaptive mutation appearance
Golding, Ido; Drossel, Barbara; Shapira, Yoash; … - In: Physica A: Statistical Mechanics and its Applications 294 (2001) 1, pp. 195-212
We present two dynamical models for the appearance of adaptive mutations, which permit a quantitative comparison with experimental observations. The models quantify two alternative pictures: The hyper-mutating sub-population picture, and the population-wide mutation picture. We find that both...
Persistent link: https://www.econbiz.de/10010591017
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Convection–diffusion effects in marathon race dynamics
Rodriguez, E.; Espinosa-Paredes, G.; Alvarez-Ramirez, J. - In: Physica A: Statistical Mechanics and its Applications 393 (2014) C, pp. 498-507
race course, the dynamics are modeled as a convection–diffusion partial differential equation with position-dependent mean … velocity and diffusion coefficient. A least-squares problem is posed and solved with optimization techniques for fitting field … data from the 2011 Chicago Marathon. It was obtained that the mean pack velocity decreases while the diffusion coefficient …
Persistent link: https://www.econbiz.de/10010709976
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What if criminals optimize their choice? Optimal strategies to defend public goods
Bruni, Camilla; Nuño, Juan Carlos; Primicerio, Mario - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 4, pp. 840-850
We investigate optimal strategies to defend valuable goods against the attacks of a thief. Given the value of the goods and the probability of success for the thief, we look for the strategy that assures the largest benefit to each player irrespective of the strategy of his opponent. Two...
Persistent link: https://www.econbiz.de/10011060101
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A mathematical model of “Gone with the Wind”
Rinaldi, Sergio; Della Rossa, Fabio; Landi, Pietro - In: Physica A: Statistical Mechanics and its Applications 392 (2013) 15, pp. 3231-3239
We develop a mathematical model for mimicking the love story between Scarlett and Rhett described in “Gone with the Wind”. In line with tradition in classical physics, the model is composed of two Ordinary Differential Equations, one for Scarlett and one for Rhett, which encapsulate their...
Persistent link: https://www.econbiz.de/10011061765
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Comparison of the energetic properties and the dynamical stability in a mathematical model of the stretch reflex
Páez-Hernández, Ricardo; Santillán, Moisés - In: Physica A: Statistical Mechanics and its Applications 387 (2008) 14, pp. 3574-3582
The previous studies on finite-time thermodynamic engines have shown that some of the parameters affecting their thermodynamic performance also affect their stability. Moreover, such parameters have to be tuned to reach an optimal trade-off between these two generic properties. In the present...
Persistent link: https://www.econbiz.de/10011063936
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Fractal-type relations and extensions suitable for systems of evolving polycrystalline microstructures
Gadomski, A - In: Physica A: Statistical Mechanics and its Applications 274 (1999) 1, pp. 325-332
We report on two possible physically justified situations concerning the evolution of polycrystalline microstructures. The first is an observation that a polycrystalline microstructure formation process, considered as a random walk in the space of the crystallites’ sizes, can be equivalent to...
Persistent link: https://www.econbiz.de/10010872937