Abstract:

The vibrational bioresonance (VBR) and its control in a calciumion oscillation systemunder the influence of low-frequency and high-frequency signals were studied. Results show that calcium ion oscillations consist of two peaks (VBR) under the influence of a low-frequency signal and that the amplitude increases under the influence of a high-frequency signal. The weak signal with lower frequency and higher amplitude is more likely to be amplified during VBR. Close to the Hopf bifurcation point (small control parameter threshold), VBR is weak and the maximum amplitude of the high-frequency signal gradually shifts to higher values. The feedback mechanism plays an important role in the amplification and suppression of VBR during the formation of calcium waves in cells. A positive feedback mechanism, therefore, enhances the VBR while a negative feedback mechanism decreases the VBR. Furthermore, when noise is introduced into the system, the stochastic resonance (SR) suppresses the VBR and influences the number of vibrational resonance (VR) peaks. A critical level of noise exists for different resonant behaviors and when the noise intensity is below a critical level VBR occurs, while above the critical level a single VR peak appears.

Key words: Calciumion system, Vibrational biresonance, Stochastic resonance, Noise, External signal