2019-08-18T04:47:22Z
https://digital.csic.es/dspace-oai/request
oai:digital.csic.es:10261/48142
2016-02-17T07:33:13Z
com_10261_47
com_10261_8
col_10261_300
Ross, John
Villaverde, A. F.
Banga, Julio R.
Vázquez, Sara
Morán, Federico
2012-04-12T06:50:00Z
2012-04-12T06:50:00Z
2010
Proceedings of the National Academy of Sciences 107: 12777-12781 (2010)
0027-8424
http://hdl.handle.net/10261/48142
10.1073/pnas.1008257107
1091-6490
A generalized Fisher equation (GFE) relates the time derivative of
the average of the intrinsic rate of growth to its variance. The GFE
is an exact mathematical result that has been widely used in population
dynamics and genetics, where it originated. Here we demonstrate
that the GFE can also be useful in other fields, specifically in
chemistry, with models of two chemical reaction systems for which
the mechanisms and rate coefficients correspond reasonably well
to experiments. A bad fit of the GFE can be a sign of high levels of
measurement noise; for low or moderate levels of noise, fulfillment
of the GFE is not degraded. Hence, the GFE presents a noise threshold
that may be used to test the validity of experimental measurements
without requiring any additional information. In a different
approach information about the system (model) is included in the
calculations. In that case, the discrepancy with the GFE can be used
as an optimization criterion for the determination of rate coefficients
in a given reaction mechanism
eng
openAccess
Optimization procedures
Noise threshold estimation
A generalized fisher equation and its utility in chemical kinetics
Artículo