Literature DB >> 16594068

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

P Foerster1, S C Müller, B Hess.   

Abstract

The critical radius for the outward propagation of waves in an excitable solution of the Belousov-Zhabotinskii reaction was experimentally analyzed and found to be approximately 20 mum, being in a range predicted by theory. Thus, the wave initiation depends on the critical radius in an all-or-none fashion. For waves having high positive curvature of wave fronts, a linear relationship between the curvature and their normal velocity was established, allowing computation of a diffusion coefficient of 1.9 x 10(-5) cm(2)/s for the autocatalytic species, which agrees well with results previously obtained for negatively curved wave fronts. The analysis of the dispersion of wave velocity yielded the decrease of wave velocity for small initiation periods as predicted theoretically.

Year:  1989        PMID: 16594068      PMCID: PMC297943          DOI: 10.1073/pnas.86.18.6831

Source DB:  PubMed          Journal:  Proc Natl Acad Sci U S A        ISSN: 0027-8424            Impact factor:   11.205


  3 in total

1.  Curvature and propagation velocity of chemical waves.

Authors:  P Foerster; S C Müller; B Hess
Journal:  Science       Date:  1988-08-05       Impact factor: 47.728

2.  The structure of the core of the spiral wave in the belousov-zhabotinskii reaction.

Authors:  S C Müller; T Plesser; B Hess
Journal:  Science       Date:  1985-11-08       Impact factor: 47.728

3.  Chemical waves.

Authors:  J Ross; S C Müller; C Vidal
Journal:  Science       Date:  1988-04-22       Impact factor: 47.728

  3 in total
  6 in total

1.  Nonlinear propagation of spherical calcium waves in rat cardiac myocytes.

Authors:  M H Wussling; H Salz
Journal:  Biophys J       Date:  1996-03       Impact factor: 4.033

2.  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

3.  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

4.  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

5.  Dynamics of diffusive cell signaling relays.

Authors:  Paul B Dieterle; Jiseon Min; Daniel Irimia; Ariel Amir
Journal:  Elife       Date:  2020-12-04       Impact factor: 8.140

6.  Mathematical modeling of Erk activity waves in regenerating zebrafish scales.

Authors:  Luke D Hayden; Kenneth D Poss; Alessandro De Simone; Stefano Di Talia
Journal:  Biophys J       Date:  2021-05-20       Impact factor: 3.699

  6 in total

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