Literature DB >> 17839079

Curvature and propagation velocity of chemical waves.

P Foerster, S C Müller, B Hess.   

Abstract

The collision of circular chemical waves in an excitable medium, the Belousov-Zhabotinskii reaction, leads to characteristic cusplike structures. The high curvatures of these structures are especially suitable for experimentally verifying the predicted proportionality between the velocity and the shape of traveling waves. A computerized spectrophotometric video technique with microscopic resolution was used to determine the proportionality factor (2 x 10(-5) square centimeter per second), which in this case is the diffusion coefficient of the autocatalytic species of the reaction system. A numerical calculation of the spatiotemporal evolution of the cusp structure is in good agreement with the experimental observations.

Year:  1988        PMID: 17839079     DOI: 10.1126/science.241.4866.685

Source DB:  PubMed          Journal:  Science        ISSN: 0036-8075            Impact factor:   47.728


  9 in total

1.  Critical size and curvature of wave formation in an excitable chemical medium.

Authors:  P Foerster; S C Müller; B Hess
Journal:  Proc Natl Acad Sci U S A       Date:  1989-09       Impact factor: 11.205

2.  An eikonal-curvature equation for action potential propagation in myocardium.

Authors:  J P Keener
Journal:  J Math Biol       Date:  1991       Impact factor: 2.259

3.  Vortex shedding as a precursor of turbulent electrical activity in cardiac muscle.

Authors:  C Cabo; A M Pertsov; J M Davidenko; W T Baxter; R A Gray; J Jalife
Journal:  Biophys J       Date:  1996-03       Impact factor: 4.033

4.  Velocity-curvature relationship of colliding spherical calcium waves in rat cardiac myocytes.

Authors:  M H Wussling; K Scheufler; S Schmerling; V Drygalla
Journal:  Biophys J       Date:  1997-09       Impact factor: 4.033

5.  Analyzing critical propagation in a reaction-diffusion-advection model using unstable slow waves.

Authors:  Frederike Kneer; Klaus Obermayer; Markus A Dahlem
Journal:  Eur Phys J E Soft Matter       Date:  2015-02-25       Impact factor: 1.890

6.  Three-dimensional waves of excitation during Dictyostelium morphogenesis.

Authors:  O Steinbock; F Siegert; S C Müller; C J Weijer
Journal:  Proc Natl Acad Sci U S A       Date:  1993-08-01       Impact factor: 11.205

7.  Calcium waves in agarose gel with cell organelles: implications of the velocity curvature relationship.

Authors:  M H Wussling; K Krannich; V Drygalla; H Podhaisky
Journal:  Biophys J       Date:  2001-06       Impact factor: 4.033

8.  Three-dimensional scroll waves organize Dictyostelium slugs.

Authors:  F Siegert; C J Weijer
Journal:  Proc Natl Acad Sci U S A       Date:  1992-07-15       Impact factor: 11.205

9.  The relation between atrial fibrillation wavefront characteristics and accessory pathway conduction.

Authors:  J J Ong; Y M Cha; J M Kriett; K Boyce; G K Feld; P S Chen
Journal:  J Clin Invest       Date:  1995-11       Impact factor: 14.808

  9 in total

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