Laser Ablation Modeling of Periodic Pattern Formation on Polymer Substrates

2008 ◽  
Vol 10 (5) ◽  
pp. 488-493 ◽  
Author(s):  
A. Lasagni ◽  
M. Cornejo ◽  
F. Lasagni ◽  
F. Muecklich
Keyword(s):  
Laser Ablation ◽  
Pattern Formation ◽  
Periodic Pattern ◽  
Polymer Substrates ◽  
Ablation Modeling

Control parameters in pattern formation upon femtosecond laser ablation

2007 ◽  
Vol 253 (19) ◽  
pp. 7932-7936 ◽  
Author(s):  
Olga Varlamova ◽  
Florenta Costache ◽  
Markus Ratzke ◽  
Jürgen Reif
Keyword(s):  
Laser Ablation ◽  
Pattern Formation ◽  
Femtosecond Laser ◽  
Femtosecond Laser Ablation ◽  
Control Parameters

Periodic pattern formation in solid state reactions related to the Kirkendall effect

1998 ◽  
Vol 46 (18) ◽  
pp. 6521-6528 ◽  
Author(s):  
A.A. Kodentsov ◽  
M.R. Rijnders ◽  
F.J.J. van Loo
Keyword(s):  
Solid State ◽  
Pattern Formation ◽  
Kirkendall Effect ◽  
Solid State Reactions ◽  
Periodic Pattern

scholarly journals Microchannel fabrication on cyclic olefin polymer substrates via 1064 nm Nd:YAG laser ablation

2016 ◽  
Vol 387 ◽  
pp. 603-608 ◽  
Author(s):  
Ronán McCann ◽  
Komal Bagga ◽  
Robert Groarke ◽  
Apryll Stalcup ◽  
Mercedes Vázquez ◽  
...  
Keyword(s):  
Laser Ablation ◽  
Nd:Yag Laser ◽  
Polymer Substrates ◽  
Cyclic Olefin

Laser ablation studies of the role of the Drosophila oocyte nucleus in pattern formation

Science ◽  
1991 ◽  
Vol 254 (5029) ◽  
pp. 290-293
Author(s):  
DJ Montell ◽  
H Keshishian ◽  
AC Spradling
Keyword(s):  
Laser Ablation ◽  
Pattern Formation ◽  
Posterior Pole ◽  
Follicle Cells ◽  
Oocyte Nucleus ◽  
Dorsoventral Patterning ◽  
Egg Chambers ◽  
Germline Cells

Somatic and germline cells interact during oogenesis to establish the pattern axes of the Drosophila eggshell and embryo. The role of the oocyte nucleus in pattern formation was tested with the use of laser ablation. Ablation in stage 6 to 9 egg chambers caused partial or complete ventralization of the eggshell, phenotypes similar to those of eggs produced by gurken or torpedo females. Accumulation of vasa protein at the posterior pole of treated oocytes was also disrupted. Thus the oocyte nucleus is required as late as stage 9 for dorsoventral patterning within the follicle cells and for polar plasm assembly in the oocyte.

Bifurcations and Pattern Formation in a Predator–Prey Model

2018 ◽  
Vol 28 (11) ◽  
pp. 1850140 ◽  
Author(s):  
Yongli Cai ◽  
Zhanji Gui ◽  
Xuebing Zhang ◽  
Hongbo Shi ◽  
Weiming Wang
Keyword(s):  
Steady State ◽  
Hopf Bifurcation ◽  
Pattern Formation ◽  
Global Bifurcation ◽  
Periodic Pattern ◽  
Spatiotemporal Pattern ◽  
Predator Prey ◽  
Predator Prey Model ◽  
Prey Model ◽  
Steady State Bifurcation

In this paper, we investigate the spatiotemporal dynamics of a Leslie–Gower predator–prey model incorporating a prey refuge subject to the Neumann boundary conditions. We mainly consider Hopf bifurcation and steady-state bifurcation which bifurcate from the constant positive steady-state of the model. In the case of Hopf bifurcation, by the center manifold theory and the normal form method, we establish the bifurcation direction and stability of bifurcating periodic solutions; in the case of steady-state bifurcation, by the local and global bifurcation theories, we prove the existence of the steady-state bifurcation, and find that there are two typical bifurcations, Turing bifurcation and Turing–Hopf bifurcation. Via numerical simulations, we find that the model exhibits not only stationary Turing pattern induced by diffusion which is dependent on space and independent of time, but also temporal periodic pattern induced by Hopf bifurcation which is dependent on time and independent of space, and spatiotemporal pattern induced by Turing–Hopf bifurcation which is dependent on both time and space. These results may enrich the pattern formation in the predator–prey model.

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