Varieties of spiral wave behavior: An experimentalist's approach to the theory of excitable media

Chaos
Arthur T. Winfree

Abstract

Spiral waves in diverse excitable media exhibit strikingly variegated behavior. Mechanistic interpretations of excitability in laboratory systems are commonly tested by comparing the wavelength, period, and meander patterns of the model's spiral waves with laboratory observations, but models seem seldom to be rejected by such tests. The reason may be that almost any excitable medium behaves in many respects like almost any other, if its parameters are properly adjusted within a reasonable range. What generalizations can be made about "excitable media" in the absence of more specifications? It would be useful to distinguish such generic features from idiosyncrasies of specific models. The range of behavioral flexibility of the FitzHugh-Nagumo excitable medium is explored by varying two of its parameters and comparing the results with other excitable media to suggest a generic pattern of parameter dependence. The results exhibit the remarkable diversity of rotor behavior in a single model and provide a database for quantitative testing of mathematical generalizations.

References

Jan 1, 1978·Pharmacology & Therapeutics. Part B: General & Systematic Pharmacology·V I Krinsky
Jan 1, 1975·Progress in Biophysics and Molecular Biology·P J HunterD Noble
Jan 1, 1990·Annals of the New York Academy of Sciences·A L WitB Waldecker
Sep 21, 1990·Journal of Theoretical Biology·C ElphickE A Spiegel
Jun 8, 1989·Journal of Theoretical Biology·A T Winfree
Dec 1, 1973·Biophysical Journal·J Rinzel, J B Keller
Jan 1, 1970·Circulation Research·J BiggerB F Hoffman
Sep 1, 1980·Circulation Research·F J van Capelle, D Durrer
May 2, 1988·Physical Review Letters·E Meron, P Pelcé
Apr 3, 1989·Physical Review Letters·P CoulletJ Lega
Nov 26, 1990·Physical Review Letters·A Karma
Apr 29, 1991·Physical Review Letters·A Karma
Feb 4, 1991·Physical Review Letters·H Ito, L Glass

❮ Previous
Next ❯

Citations

Oct 17, 2002·Journal of Biosciences·A T Winfree
Jul 13, 2006·Bulletin of Mathematical Biology·Michael J Ward
Mar 7, 1996·Journal of the Autonomic Nervous System·T Plesser
May 15, 2002·Progress in Biophysics and Molecular Biology·Robert Hinch
Oct 24, 1998·Progress in Biophysics and Molecular Biology·F J Vetter, A D McCulloch
Oct 24, 1998·Progress in Biophysics and Molecular Biology·A T Winfree
May 9, 2013·Proceedings of the National Academy of Sciences of the United States of America·Georg A Gottwald, Ian Melbourne
Feb 1, 1997·Pacing and Clinical Electrophysiology : PACE·P S ChenH S Karagueuzian
May 31, 2013·Journal of Mathematical Neuroscience·Markus A Dahlem, Thomas M Isele
Apr 2, 2009·PloS One·Markus A Dahlem, Nouchine Hadjikhani
Aug 18, 2012·PloS One·Matthias Vigelius, Bernd Meyer
Jun 5, 2003·Chaos·Peng-Sheng ChenHrayr S. Karagueuzian
Jun 5, 2003·Chaos·Francisco ChavezLeon Glass
Jun 5, 2003·Chaos·Daniel Margerit, Dwight Barkley
Jun 5, 2003·Chaos·Niels F. Otani
Jun 5, 2003·Chaos·Dave T. KimPeng-Sheng Chen
Jan 1, 1993·Chaos·Zsuzsanna Nagy-UngvaraiStefan C. Muller
Dec 1, 1991·Chaos·Xiao-Guang WuRaymond Kapral
Oct 4, 2006·Chaos·Katrin RohlfRaymond Kapral
Sep 1, 1994·Chaos·Dwight Barkley, Ioannis G. Kevrekidis
Sep 1, 1994·Chaos·Vladimir S. ZykovStefan C. Muller
Jun 1, 1995·Chaos·Peter Jung, Gottfried Mayer-Kress
Jun 5, 2003·Chaos·Jose JalifeJorge M. Davidenko

❮ 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.