Analysis of Vibrational Resonance in a Biophysical System

Living systems are composed of molecules and atoms that can exhibit specific quantum effects, including coherent electric vibration, and vibrating systems that undergo resonance. Due to their resonance, biological materials can transfer energy when they vibrate at a specific frequency. In this paper, we establish the occurrence of vibrational resonance in a biophysical system modeling activated enzyme molecules in the brain waves. The VR was characterised using the response amplitude, Q which was numerically calculated using the Fourier coefficient of the output signal. The external high-frequency signal affected the enzyme-substrate reaction and amplified the combination process observed at resonance. Importantly, double resonances were induced by the strength of the decay rate. Resonance, induced by the strength of the decay rate and the external high-frequency signal would lead to significant brain wave activity related to inherent energy transfers from changes to the decay rate, and enzyme-substrate combination, and could be observed from the Electroencephalogram.