酶反应中的阈激发、弛豫振荡及噪声效应
Threshold excitations, relaxation oscillations, and effect of noise in an enzyme reaction.
作者信息
Hahn H S, Nitzan A, Ortoleva P, Ross J
出版信息
Proc Natl Acad Sci U S A. 1974 Oct;71(10):4067-71. doi: 10.1073/pnas.71.10.4067.
Abstract
We study a deprotonation reaction by an enzyme with activity dependent on pH. The rate and transport equations are simplified with a number of assumptions, are analyzed according to the presence of different time scales, and are solved numerically to show relaxation oscillation and threshold excitation, for different choices of parameters. The imposition of fluctuations (noise) on the deterministic equations for threshold excitation conditions leads to random occurrence of an excitation and return to steady state at low noise level and to large, random variations in concentrations at high noise level. At intermediate noise levels (of the order of the threshold excitation), however, we find quasi-periodic concentration oscillations. Thus, critical values of external constraints necessary for oscillations are altered by the presence of noise.
摘要
我们研究了一种酶的去质子化反应，该酶的活性依赖于pH值。通过一系列假设简化了速率和传输方程，根据不同时间尺度的存在进行了分析，并针对不同的参数选择进行了数值求解，以显示弛豫振荡和阈值激发。在阈值激发条件下，将涨落（噪声）施加于确定性方程，会导致在低噪声水平下激发随机出现并返回稳态，而在高噪声水平下浓度出现大的随机变化。然而，在中间噪声水平（阈值激发量级）下，我们发现了准周期浓度振荡。因此，噪声的存在改变了振荡所需外部约束的临界值。
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