物理化学学报 >> 2010, Vol. 26 >> Issue (02): 487-494.doi: 10.3866/PKU.WHXB20100220

生物物理化学 上一篇    下一篇

钙离子体系的振动双共振控制

施建成, 董涛   

  1. 广西师范学院化学与生命科学学院, 南宁 530001
  • 收稿日期:2009-11-09 修回日期:2009-11-23 发布日期:2010-01-26
  • 通讯作者: 施建成 E-mail:mfai668@sina.com

Control of Vibrational Biresonance in a CalciumIon System

SHI Jian-Cheng, DONG Tao   

  1. College of Chemistry and Life Sciences, Guangxi Teachers Education University, Nanning 530001, P. R. China
  • Received:2009-11-09 Revised:2009-11-23 Published:2010-01-26
  • Contact: SHI Jian-Cheng E-mail:mfai668@sina.com

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摘要：

研究了钙离子振荡体系在高、低两种不同频率信号作用下所产生的振动双共振(VBR)及其控制方法. 结果表明: 系统对低频信号响应的幅值随高频信号振幅的变化产生了振动双共振现象, 并且低频信号的频率越低, 振幅越大, 系统通过振动双共振对微弱低频信号的放大倍数越大. 体系离霍普夫(Hopf)分岔点的距离越近(控制参数域值越小), 体系发生振动双共振所需要的最大高频信号幅值越往大的方向漂移, 同时体系振动双共振的强度越小. 细胞内钙波形成过程中的反馈机制对体系振动双共振的增强和减弱起着重要的作用, 即正反馈机制对体系振动双共振强度起增强的作用, 而负反馈机制却起减弱的作用. 另外, 体系中引入噪音所产生的随机共振不仅削弱振动双共振的强度而且还影响振动峰的个数, 也发现存在极限噪音强度使体系产生不同的振荡行为, 极限噪音强度之下, 体系产生VBR现象, 而极限噪音强度之上, 体系则发生单峰振荡共振现象.

关键词: 钙离子体系, 振动双共振, 随机共振, 噪音, 外信号

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