scholarly journals A unified mechanism for spatiotemporal patterns in somitogenesis

2020 ◽  
Author(s):  
Chandrashekar Kuyyamudi ◽  
Shakti N. Menon ◽  
Sitabhra Sinha

Somitogenesis, the process of body segmentation during embryonic development, exhibits a key set of features that is conserved across all vertebrate species despite differences in the detailed mechanisms. Prior to the formation of somites along the pre-somitic mesoderm (PSM), periodic expression of clock genes is observed in its constituent cells. As the PSM expands through the addition of new cells at its posterior, the oscillations in the cells closer to the anterior cease and eventually lead to formation of rostral and caudal halves of the somites. This pattern formation is believed to be coordinated by interactions between neighboring cells via receptor-ligand coupling. However, the mechanism underlying the transition from synchronized oscillations to traveling waves and subsequent arrest of activity, followed by the appearance of polarized somites, has not yet been established. In this paper we have proposed a unified mechanism that reproduces the sequence of dynamical transitions observed during somitogenesis by combining the local interactions mediated via Notch-Delta intercellular coupling with global spatial heterogeneity introduced through a morphogen gradient that is known to occur along the anteroposterior axis of the growing PSM. Our model provides a framework that integrates a boundary-organized pattern formation mechanism, which uses positional information provided by a morphogen gradient, with the coupling-mediated self-organized emergence of collective dynamics, to explain the processes that lead to segmentation.

1996 ◽  
Vol 76 (3) ◽  
pp. 423-426 ◽  
Author(s):  
Supriya Krishnamurthy ◽  
Mustansir Barma

2002 ◽  
Vol 496 (1-2) ◽  
pp. L18-L22 ◽  
Author(s):  
Bernhard Kaiser ◽  
Bert Stegemann ◽  
Hanna Kaukel ◽  
Klaus Rademann

2004 ◽  
Vol 70 (3) ◽  
Author(s):  
Sumithra Sankararaman ◽  
Gautam I. Menon ◽  
P. B. Sunil Kumar

2020 ◽  
Vol 6 (32) ◽  
pp. eaay7682
Author(s):  
Sayak Bhattacharya ◽  
Tatsat Banerjee ◽  
Yuchuan Miao ◽  
Huiwang Zhan ◽  
Peter N. Devreotes ◽  
...  

The mechanisms regulating protrusions during amoeboid migration exhibit excitability. Theoretical studies have suggested the possible coexistence of traveling and standing waves in excitable systems. Here, we demonstrate the direct transformation of a traveling into a standing wave and establish conditions for the stability of this conversion. This theory combines excitable wave stopping and the emergence of a family of standing waves at zero velocity, without altering diffusion parameters. Experimentally, we show the existence of this phenomenon on the cell cortex of some Dictyostelium and mammalian mutant strains. We further predict a template that encompasses a spectrum of protrusive phenotypes, including pseudopodia and filopodia, through transitions between traveling and standing waves, allowing the cell to switch between excitability and bistability. Overall, this suggests that a previously-unidentified method of pattern formation, in which traveling waves spread, stop, and turn into standing waves that rearrange to form stable patterns, governs cell motility.


2019 ◽  
Vol 74 (11) ◽  
pp. 945-959
Author(s):  
Huayong Zhang ◽  
Ge Pan ◽  
Tousheng Huang ◽  
Tianxiang Meng ◽  
Jieru Wang ◽  
...  

AbstractThe bifurcation dynamics and pattern formation of a discrete-time three-species food chain system with Beddington–DeAngelis functional response are investigated. Via applying the centre manifold theorem and bifurcation theorems, the occurrence conditions for flip bifurcation and Neimark–Sacker bifurcation as well as Turing instability are determined. Numerical simulations verify the theoretical results and reveal many interesting dynamic behaviours. The flip bifurcation and the Neimark–Sacker bifurcation both induce routes to chaos, on which we find period-doubling cascades, invariant curves, chaotic attractors, sub–Neimark–Sacker bifurcation, sub–flip bifurcation, chaotic interior crisis, sub–period-doubling cascade, periodic windows, sub–periodic windows, and various periodic behaviours. Moreover, the food chain system exhibits various self-organized patterns, including regular and irregular patterns of stripes, labyrinth, and spiral waves, suggesting the populations can coexist in space as many spatiotemporal structures. These analysis and results provide a new perspective into the complex dynamics of discrete food chain systems.


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