High-frequency and low-frequency effects on vibrational resonance in a synthetic gene network

The high-frequency and low-frequency effects on vibrational resonance (VR) in a synthetic gene network are studied. Results show that the role of the high-frequency signal in VR acts as that of noise in stochastic resonance (SR), namely a high-frequency signal can change the effective value of the control parameter such that the random state-state transitions of the switch can happen. A low-frequency signal with lower frequency and higher amplitude tends to favor the response of the system. When VR occurs, the ratio of the optimal amplitude (B(opt)) to the corresponding frequency (Omega) of the high-frequency signal is a definite constant. Furthermore, if noise is introduced into the system, noise plays a suppressive role for VR, and various resonance phenomena including the bell-shaped VR and VR without tuning are exhibited in the system.

[1]  J. Xu,et al.  Global dynamics and stochastic resonance of the forced FitzHugh-Nagumo neuron model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  J. Hasty,et al.  Synthetic gene network for entraining and amplifying cellular oscillations. , 2002, Physical review letters.

[3]  J. Karnes,et al.  Continuous therapeutic ultrasound accelerates repair of contraction-induced skeletal muscle damage in rats. , 2002, Archives of physical medicine and rehabilitation.

[4]  J P Baltanás,et al.  Effects of additive noise on vibrational resonance in a bistable system. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[5]  D. A. Baxter,et al.  Mathematical Modeling of Gene Networks , 2000, Neuron.

[6]  J Kurths,et al.  Experimental evidence, numerics, and theory of vibrational resonance in bistable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Anders Vastberg,et al.  The two-frequency coherence function for the fluctuating ionosphere: narrowband pulse propagation , 1997 .

[8]  Kurt Wiesenfeld,et al.  Controlling Stochastic Resonance , 1999 .

[9]  Fabio Marchesoni,et al.  Asymmetric confinement in a noisy bistable device , 2004 .

[10]  Peter Hänggi,et al.  Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

[11]  David Cubero,et al.  High-frequency effects in the FitzHugh-Nagumo neuron model. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Jiang,et al.  Coherent resonance in a one-way coupled system , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[13]  Giovanni Giacomelli,et al.  Improvement of signal-to-noise ratio in a bistable optical system: Comparison between vibrational and stochastic resonance , 2005 .

[14]  U. Christians,et al.  Ultrasound-Induced Mild Hyperthermia as a Novel Approach to Increase Drug Uptake in Brain Microvessel Endothelial Cells , 2002, Pharmaceutical Research.

[15]  F Marchesoni,et al.  Asymmetric probability densities in symmetrically modulated bistable devices. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[16]  Ya Jia,et al.  Light-noise-induced suprathreshold circadian oscillations and coherent resonance in Drosophila. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Q. Li,et al.  Internal stochastic resonance in two coupled liquid membrane oscillators. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[18]  A. Maksimov,et al.  On the subharmonic emission of gas bubbles under two-frequency excitation , 1997 .

[19]  P. McClintock,et al.  LETTER TO THE EDITOR: Vibrational resonance , 2000 .

[20]  J D Victor,et al.  Two-frequency analysis of interactions elicited by Vernier stimuli , 2000, Visual Neuroscience.

[21]  F. Marchesoni,et al.  Mobility oscillations in high-frequency modulated devices , 2005 .

[22]  Internal signal stochastic resonance of a synthetic gene network , 2005 .

[23]  Farren J. Isaacs,et al.  Computational studies of gene regulatory networks: in numero molecular biology , 2001, Nature Reviews Genetics.

[24]  Jürgen Kurths,et al.  Vibrational resonance and vibrational propagation in excitable systems , 2003 .

[25]  Carson C. Chow,et al.  Stochastic resonance without tuning , 1995, Nature.

[26]  Bulsara,et al.  Theory of controlling stochastic resonance , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  T. Onyeche,et al.  Ultrasound stimulation of micro-organisms for enhanced biodegradation. , 2002, Ultrasonics.

[28]  K. P. Harikrishnan,et al.  Resonance phenomena in discrete systems with bichromatic input signal , 2008 .

[29]  M. Savageau.  Comparison of classical and autogenous systems of regulation in inducible operons , 1974, Nature.

[30]  Z. Hou,et al.  Engineered internal noise stochastic resonator in gene network: a model study. , 2007, Biophysical chemistry.

[31]  L. Glass,et al.  The logical analysis of continuous, non-linear biochemical control networks. , 1973, Journal of theoretical biology.

[32]  J Kurths,et al.  Oscillatory amplification of stochastic resonance in excitable systems. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.