Cybermedia Center, Osaka University, Toyonaka, Osaka 560-0043, Japan.
Phys Rev Lett. 2011 Jul 22;107(4):048301. doi: 10.1103/PhysRevLett.107.048301. Epub 2011 Jul 21.
Biological responses often obey Weber's law, according to which the magnitude of the response depends only on the fold change in the external input. In this study, we demonstrate that a system involving a simple autocatalytic reaction shows such a response when a chemical is slowly synthesized by the reaction from a faster influx process. We also show that an autocatalytic reaction process occurring in series or in parallel can obey Weber's law with an oscillatory adaptive response. Considering the simplicity and ubiquity of the autocatalytic process, our proposed mechanism is thought to be commonly observed in biological reactions.
生物反应通常遵循韦伯定律，根据该定律，反应的幅度仅取决于外部输入的变化倍数。在本研究中，我们证明了当一种化学物质通过更快的流入过程中的反应缓慢合成时，涉及简单自催化反应的系统会表现出这种反应。我们还表明，串联或并联发生的自催化反应过程可以通过振荡自适应响应来遵守韦伯定律。考虑到自催化过程的简单性和普遍性，我们提出的机制被认为在生物反应中普遍存在。
