PMID: 15244894Jul 13, 2004Paper

Stochastic resonance in biological nonlinear evolution models

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Jörn DunkelPeter Hänggi

Abstract

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.

References

Jan 1, 1982·Bio Systems·R Feistel, W Ebeling
Jan 1, 1997·European Radiology·A G JurikJ Hansen
Mar 15, 1990·Physical Review. a·P Jung, P Hänggi
Dec 15, 1991·Physical Review. a·P Jung, P Hänggi
Aug 15, 1992·Physical Review. a·P JungF Moss
Apr 1, 1996·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·S H Park, S Kim
Jan 1, 1997·Evolutionary Computation·F SchweitzerO Weiss
Mar 13, 1995·Physical Review Letters·P Jung, G Mayer-Kress
Apr 8, 1996·Physical Review Letters·F MarchesoniA R Bulsara
Dec 2, 1996·Physical Review Letters·M LöcherE R Hunt
Jul 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J H Li, P Hänggi
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Lars CallenbachLutz Schimansky-Geier
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M KosturL Schimansky-Geier
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Igor E DikshteinLutz Schimansky-Geier
Dec 31, 2002·Chemphyschem : a European Journal of Chemical Physics and Physical Chemistry·Peter Hänggi
Apr 5, 2003·Chaos·Jan A FreundPeter Hänggi
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jesús Casado-PascualPeter Hänggi
Apr 21, 2004·Evolutionary Computation·Jörn DunkelWerner Ebeling
Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J DunkelP Hänggi

❮ Previous
Next ❯

Citations

Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L Y ChewC H Lai
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B-G YoonJ-Y Fortin
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Carlos Escudero
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ginestra Bianconi, Christoph Rahmede
Jan 15, 2016·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sergio E Mangioni
Jan 26, 2011·Physical Biology·Jörn DunkelEva-Maria Schötz

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.