scholarly journals Spatiotemporal oscillations of Notch1, Dll1 and NICD are coordinated across the mouse PSM

Development ◽  
2014 ◽  
Vol 141 (24) ◽  
pp. 4806-4816 ◽  
Author(s):  
R. A. Bone ◽  
C. S. L. Bailey ◽  
G. Wiedermann ◽  
Z. Ferjentsik ◽  
P. L. Appleton ◽  
...  
Keyword(s):  
Spatiotemporal Oscillations

Spatiotemporal oscillations of morphinan alkaloids in opium poppy

2018 ◽  
Vol 43 (2) ◽  
pp. 391-405 ◽  
Author(s):  
Mahdi Rezaei ◽  
Mohammad Reza Naghavi ◽  
Abdolhadi Hosseinzadeh ◽  
Alireza Abasi ◽  
Jaber Nasiri
Keyword(s):  
Opium Poppy ◽  
Morphinan Alkaloids ◽  
Spatiotemporal Oscillations

scholarly journals Heterogeneity induces spatiotemporal oscillations in reaction-diffusion systems

2018 ◽  
Vol 97 (5) ◽  
Author(s):  
Andrew L. Krause ◽  
Václav Klika ◽  
Thomas E. Woolley ◽  
Eamonn A. Gaffney
Keyword(s):  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems ◽  
Spatiotemporal Oscillations

The locomotion, shape and pseudopodial dynamics of unstimulated Dictyostelium cells are not random

1993 ◽  
Vol 106 (4) ◽  
pp. 1005-1013 ◽  
Author(s):  
T. Killich ◽  
P.J. Plath ◽  
X. Wei ◽  
H. Bultmann ◽  
L. Rensing ◽  
...  
Keyword(s):  
Cyclic Amp ◽  
Actin Polymerization ◽  
Cell Movement ◽  
Time Lapse ◽  
Phase Resetting ◽  
Wave Interference ◽  
Self Organized ◽  
Classical Wave ◽  
Spatiotemporal Oscillations ◽  
Oscillatory Waves

The dynamic periphery of unstimulated, preaggregation, hunger-stage Dictyostelium discoideum amoebae was investigated by time-lapse videomicroscopy and digital image processing. Circular maps (i.e. of each of 360 radii around the cell transformed upon Cartesian coordinates) were constructed around the centroid of individual cell images and analysed in time series. This novel technique generated spatiotemporal structures of various degrees of order in the maps, which resemble classical wave interference patterns. The patterns thus demonstrate that cell movement is not random and that cells are intrinsically vibrating bodies, transited by self-organized, superpositioned, harmonic modes of rotating oscillatory waves (ROWS). These waves appear to depend upon spatiotemporal oscillations in the physicochemical reactions associated with actin polymerization, and they govern pseudopodial movements, cell shape and locomotion generally. ROWS in this case are unrelated to the cyclic-AMP-regulated oscillations, which characterize later, aggregative populations of Dictyostelium. However, the exposure of aggregation-stage cells to a pulse of the chemoattractant cyclic-AMP induces a characteristic sequence of changes in the global cellular concentration and spatiotemporal distribution of fibrillar (F-)actin. This reaction begins with what appears to be a phase resetting of ROWS and it may, therefore, underlie the cellular perception of and response to chemotactic signals. We also develop here an analytical mathematical description of ROWS, and use it to simulate cell movements accurately.

TRANSITION WAVES THAT LEAVE BEHIND REGULAR OR IRREGULAR SPATIOTEMPORAL OSCILLATIONS IN A SYSTEM OF THREE REACTION–DIFFUSION EQUATIONS

1993 ◽  
Vol 03 (05) ◽  
pp. 1269-1279 ◽  
Author(s):  
JONATHAN A. SHERRATT
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Wave Front ◽  
Plane Waves ◽  
Reaction Diffusion ◽  
Reaction Diffusion Equations ◽  
Diffusion Equations ◽  
Spatiotemporal Oscillations ◽  
Transition Wave ◽  
Periodic Plane

Transition waves are widespread in the biological and chemical sciences, and have often been successfully modelled using reaction–diffusion systems. I consider a particular system of three reaction–diffusion equations, and I show that transition waves can destabilise as the kinetic ordinary differential equations pass through a Hopf bifurcation, giving rise to either regular or irregular spatiotemporal oscillations behind the advancing transition wave front. In the case of regular oscillations, I show that these are periodic plane waves that are induced by the way in which the transition wave front approaches its terminal steady state. Further, I show that irregular oscillations arise when these periodic plane waves are unstable as reaction–diffusion solutions. The resulting behavior is not related to any chaos in the kinetic ordinary differential equations.

scholarly journals Chemically Controlled Spatiotemporal Oscillations of Colloidal Assemblies

2017 ◽  
Vol 129 (27) ◽  
pp. 7925-7929 ◽  
Author(s):  
Alicia Altemose ◽  
María Antonieta Sánchez-Farrán ◽  
Wentao Duan ◽  
Steve Schulz ◽  
Ali Borhan ◽  
...  
Keyword(s):  
Spatiotemporal Oscillations
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