scholarly journals Spatial Symmetry Breaking Determines Spiral Wave Rotation Direction in Simplified Cardiac Systems

2015 ◽  
Vol 108 (2) ◽  
pp. 312a-313a
Author(s):  
Thomas Quail
2014 ◽  
Vol 113 (15) ◽  
Author(s):  
Thomas Quail ◽  
Alvin Shrier ◽  
Leon Glass

1988 ◽  
Vol 38 (4) ◽  
pp. 2005-2010 ◽  
Author(s):  
A. Ouarzeddini ◽  
H. Adachihara ◽  
J. V. Moloney

1995 ◽  
Vol 22 (10) ◽  
pp. 1265-1268 ◽  
Author(s):  
Keke Zhang ◽  
Gerald Schubert

2020 ◽  
Author(s):  
Benoit Dehapiot ◽  
Raphaël Clément ◽  
Anne Bourdais ◽  
Sébastien Huet ◽  
Guillaume Halet

AbstractMammalian oocyte meiotic divisions are highly asymmetric and produce a large haploid gamete and two small polar bodies. This relies on the ability of the cell to break symmetry and position its spindle close to the cortex before the anaphase occurs. In metaphase II arrested mouse oocytes, the spindle is actively maintained close and parallel to the cortex, until the fertilization triggers the sister chromatids segregation and the rotation of the spindle. The latter must indeed reorient perpendicular to the cortex to enable the cytokinesis ring closure at the base of the polar body. However, the mechanisms underlying symmetry breaking and spindle rotation have remained elusive. In this study, we show that the spindle rotation results from two antagonistic forces. First, an inward contraction of the cytokinesis furrow dependent on RhoA signaling and second, an outward attraction exerted on both lots of chromatids by a RanGTP dependent polarization of the actomyosin cortex. By combining live segmentation and tracking with numerical modelling, we demonstrate that this configuration becomes unstable as the ingression progresses. This leads to spontaneous symmetry breaking, which implies that neither the rotation direction nor the lot of chromatids that eventually gets discarded are biologically predetermined.


1988 ◽  
Vol 49 (C2) ◽  
pp. C2-455-C2-458 ◽  
Author(s):  
A. OUARZEDDINI ◽  
H. ADACHIHARA ◽  
J. V. MOLONEY ◽  
D. W. McLAUGHLIN ◽  
A. C. NEWELL

2004 ◽  
Vol 7 ◽  
pp. 101-119 ◽  
Author(s):  
P. C. Matthews

AbstractThe process of classifying possible symmetry-breaking bifurcations requires a computation involving the subgroups and irreducible representations of the original symmetry group. It is shown how this calculation can be automated using a group theory package such as GAP. This enables a number of new results to be obtained for larger symmetry groups, where manual computation is impractical. Examples of symmetric and alternating groups are given, and the method is also applied to the spatial symmetry-breaking of periodic patterns observed in experiments.


2021 ◽  
Author(s):  
Taiki Yoda ◽  
Yuto Moritake ◽  
Masaaki Ono ◽  
Eiichi Kuramochi ◽  
Masaya Notomi

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