Bishadi
02-04-09, 09:21 AM
Interesting Publication http://pubs.acs.org/doi/pdf/10.1021/jp952243x
I know it is old, but the concept of noise to cause a threshold to be reached reminded me of another idea. This is a good one for others to see the experiment, math as well the discussion
Stochastic Resonance in Chemistry. 1. The Belousov-Zhabotinsky Reaction
A. Guderian, G. Dechert, K.-P. Zeyer, and F. W. Schneider*
Institute of Physical Chemistry, UniVersity of Wu¨rzburg, Marcusstrasse 9/11, 97070 Wu¨rzburg, Germany
ReceiVed: August 4, 1995; In Final Form: October 11, 1995X
We demonstrate the phenomenon of stochastic resonance in a nonlinear chemical reaction. The term “stochastic resonance” (SR) denotes the detection of a weak periodic signal in a noisy system displaying a threshold. If
the sum of the periodic signal and the noise amplitude crosses the threshold, an output pulse is triggered.
Energy as a resonance causing a chemical reaction. Makes good sense!
We have demonstrated the phenomenon of stochastic resonance
with a nonlinear chemical reaction in an excitable focal
steady state close to a supercritical Hopf bifurcation.17,21,22 Our
experiments with the BZ reaction are in qualitative agreement
with the SNB model.32 The calculations as well as the
experiments show that optimal noise levels for the enhancement
of periodic signals also exist in nonlinear chemical reactions
when certain conditions are fulfilled. For example, the chosen
focus and the amplitude of the periodic signal must be
sufficiently close to the excitation threshold. The period of the
signal must not be smaller than the refractory time, which
denotes the shortest possible time interval between two subsequent
excitations (bursts). For even higher sinusoidal signal
frequencies only multiples of the sinusoidal period are observed
in the model system. An increase in the noise frequency and
an increase in the sinusoidal signal frequency both require higher
optimal noise levels for SR to occur. Thus, in a chemical
reaction the effective threshold is not a constant quantity but it
is a complex function of the described parameters.
for more familiarity see http://www.physik.uni-augsburg.de/theo1/hanggi/Papers/282.pdf
From the European Journal....
Read their outlook and see what it means to biology
I know it is old, but the concept of noise to cause a threshold to be reached reminded me of another idea. This is a good one for others to see the experiment, math as well the discussion
Stochastic Resonance in Chemistry. 1. The Belousov-Zhabotinsky Reaction
A. Guderian, G. Dechert, K.-P. Zeyer, and F. W. Schneider*
Institute of Physical Chemistry, UniVersity of Wu¨rzburg, Marcusstrasse 9/11, 97070 Wu¨rzburg, Germany
ReceiVed: August 4, 1995; In Final Form: October 11, 1995X
We demonstrate the phenomenon of stochastic resonance in a nonlinear chemical reaction. The term “stochastic resonance” (SR) denotes the detection of a weak periodic signal in a noisy system displaying a threshold. If
the sum of the periodic signal and the noise amplitude crosses the threshold, an output pulse is triggered.
Energy as a resonance causing a chemical reaction. Makes good sense!
We have demonstrated the phenomenon of stochastic resonance
with a nonlinear chemical reaction in an excitable focal
steady state close to a supercritical Hopf bifurcation.17,21,22 Our
experiments with the BZ reaction are in qualitative agreement
with the SNB model.32 The calculations as well as the
experiments show that optimal noise levels for the enhancement
of periodic signals also exist in nonlinear chemical reactions
when certain conditions are fulfilled. For example, the chosen
focus and the amplitude of the periodic signal must be
sufficiently close to the excitation threshold. The period of the
signal must not be smaller than the refractory time, which
denotes the shortest possible time interval between two subsequent
excitations (bursts). For even higher sinusoidal signal
frequencies only multiples of the sinusoidal period are observed
in the model system. An increase in the noise frequency and
an increase in the sinusoidal signal frequency both require higher
optimal noise levels for SR to occur. Thus, in a chemical
reaction the effective threshold is not a constant quantity but it
is a complex function of the described parameters.
for more familiarity see http://www.physik.uni-augsburg.de/theo1/hanggi/Papers/282.pdf
From the European Journal....
Read their outlook and see what it means to biology