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Stochastic models for chemical reactions: I. Theory of the unimolecular reaction process
Authors:Anthony F Bartholomay
Institution:(1) Harvard University, Boston, Massachusetts;(2) Department of Biostatistics, The Harvard School of Public Health, Boston, USA;(3) Biophysics Research Laboratory of the Department of Medicine, Harvard Medical School, Boston, USA;(4) Peter Bent Brigham Hospital, Boston, USA
Abstract:A stochastic model for the basic unimolecular chemical reaction 
$$A\mathop  \to \limits^\mu  B$$
is derived. This model provides a mathematical basis, altogether missing in the current kinetic theory, for the analysis of inherent random fluctuations about the strict concentration-time course prescribed by the existing deterministic theory. Limits on the extent of the predicted inherent variability are obtained and compared with those usually expected purely on the basis of random experimental errors of extraneous origin (not associated with the mechanism of reaction). The results support the extrapolation to chemical systems of a principle of statistical inaccuracy for physical systems which has been called by E. Schroedinger “the 
$$\sqrt n $$
Law of Physics.”
Keywords:
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