Document Detail


Stochastic resonance in biological nonlinear evolution models.
MedLine Citation:
PMID:  15244894     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We investigate stochastic resonance in the nonlinear, one-dimensional Fisher-Eigen model (FEM), which represents an archetypal model for biological evolution based on a global coupling scheme. In doing so we consider different periodically driven fitness functions which govern the evolution of a biological phenotype population. For the case of a simple harmonic fitness function we are able to derive the exact analytic solution for the asymptotic probability density. A distinct feature of this solution is a phase lag between the driving signal and the linear response of the system. Furthermore, for more complex systems a general perturbation theory (linear response approximation) is put forward. Using the latter approach, we investigate stochastic resonance in terms of the spectral amplification measure for a quadratic, a quartic single-peaked, and for a bistable fitness function. Our analytical results are also compared with those of detailed numerical simulations. Our findings vindicate that stochastic resonance does occur in these nonlinear, globally coupled biological systems.
Authors:
Jörn Dunkel; Stefan Hilbert; Lutz Schimansky-Geier; Peter Hänggi
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Publication Detail:
Type:  Journal Article     Date:  2004-05-28
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  69     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2004 May 
Date Detail:
Created Date:  2004-07-12     Completed Date:  2004-09-28     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  056118     Citation Subset:  -    
Affiliation:
Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, D-12489 Berlin, Germany. dunkel@physik.hu-berlin.de
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