sensory neurons 10, ion channels 11, mechanoreceptors 12, Belousov-Zhabotinsky reaction 13). In fact, stochastic resonance has been experimentally observed in a number of biological and chemical systems (e.g. Another remarkable noise-induced phenomenon, originally proposed to explain the periodicity in the Earth's ice ages, is stochastic resonance 9. For example, it has been suggested that noise could have played a significant role in the emergence of bistability in regulatory feedback circuits 7 and played a role in the origin of life 8. ![]() Since its first introduction in the realm of science, noise and its effects have been intensively studied in many different fields 6 including chemistry and biochemistry. These fluctuations can generically be classified as noise and can potentially affect system behavior by modifying its parameters, for example of the kinetic coefficients of a chemical reaction. Such systems are unavoidably subject to stochastic fluctuations in the values of some environmental physical variables, such as pressure or temperature. Similar content being viewed by othersĬhemical oscillators, which are the canonical example for non-equilibrium chemical dynamics, are found in many natural and synthetic systems (notable examples are the Krebs cycle 1, the circadian clock 2, the cell cycle 3, 4 and the Belousov-Zhabotinsky reaction 5). A plot of the characteristic frequency of the noise induced oscillations as a function of the correlation exponent shows a maximum, therefore indicating the existence of autonomous stochastic resonance, i.e. Here, we have explored white and colored (correlated) noise. These properties differ significantly depending on the noise correlation. We show that noise in temperature can induce sustained limit cycle oscillations with a relatively narrow frequency distribution and some characteristic frequency. We formulate a mathematical model for a nonisothermal minimal chemical oscillator containing a single negative feedback loop and study numerically the effects of stochastic fluctuations in temperature in the absence of any deterministic limit cycle or periodic forcing. Generally, these reactions are subject to random fluctuations in environmental conditions which translate into fluctuations in the values of physical variables, for example, temperature. ![]() Oscillating chemical reactions are common in biological systems and they also occur in artificial non-biological systems.
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