We experimentally study the level of organization of dendritic sidebranching in directional solidification. For this, we extract successive interface positions at a fixed distance from the dendrite tips and we perform various correlation analyses. The sidebranching signals appear composed of randomly distributed bursts in which sidebranching coherence is surprisingly large and robust. This is attested by the large autocorrelation found in single bursts and the large cross-correlation found in any couple of bursts, even belonging to different sides of a dendrite or to different dendrites. However, the phase coherence of sidebranching breaks down at the transition between bursts. This restricts the coherence of extended sidebranching signals to a mean burst length and prevents the occurrence of large scale cross-correlation between them. This balanced view on sidebranching coherence stresses the capability of self-organization of dendrites in material science and sheds light on the nature of sidebranching on curved growing forms.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1103/PhysRevE.80.031601 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Self-organized and directed branching results in optimal coverage in developing dermal lymphatic networks.
Nat Commun
September 2023
Translational Cancer Medicine Research Program, University of Helsinki, Biomedicum Helsinki, Haartmaninkatu 8, 00290, Helsinki, Finland.
Branching morphogenesis is a ubiquitous process that gives rise to high exchange surfaces in the vasculature and epithelial organs. Lymphatic capillaries form branched networks, which play a key role in the circulation of tissue fluid and immune cells. Although mouse models and correlative patient data indicate that the lymphatic capillary density directly correlates with functional output, i.
View Article and Find Full Text PDFInduced side-branching in smooth and faceted dendrites: theory and phase-field simulations.
Philos Trans A Math Phys Eng Sci
February 2022
GPM, CNRS-UMR 6634, University of Rouen Normandy, Saint Étienne Du Rouvray 76801, France.
The present work is devoted to the phenomenon of induced side branching stemming from the disruption of free dendrite growth. We postulate that the secondary branching instability can be triggered by the departure of the morphology of the dendrite from its steady state shape. Thence, the instability results from the thermodynamic trade-off between non monotonic variations of interface temperature, surface energy, kinetic anisotropy and interface velocity within the Gibbs-Thomson equation.
View Article and Find Full Text PDFThe nonlinear initiation of side-branching by activator-inhibitor-substrate (Turing) morphogenesis.
Chaos
May 2021
Department of Solar Energy and Environmental Physics, Blaustein Institutes for Desert Research (BIDR), Ben-Gurion University of the Negev, Sede Boqer Campus, Midreshet Ben-Gurion 8499000, Israel and Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 8410501, Israel.
An understanding of the underlying mechanism of side-branching is paramount in controlling and/or therapeutically treating mammalian organs, such as lungs, kidneys, and glands. Motivated by an activator-inhibitor-substrate approach that is conjectured to dominate the initiation of side-branching in a pulmonary vascular pattern, I demonstrate a distinct transverse front instability in which new fingers grow out of an oscillatory breakup dynamics at the front line without any typical length scale. These two features are attributed to unstable peak solutions in 1D that subcritically emanate from Turing bifurcation and that exhibit repulsive interactions.
View Article and Find Full Text PDFArticle Synopsis
- Crohn's disease (CD) is an inflammatory bowel disease that can cause various complications in the gastrointestinal tract, including anal fistulas, which connect the anal canal to the skin.
- The development of these fistulas is linked to infections from anal crypt glands and significantly affects patients' quality of life, with occurrence rates between 14%-38%.
- Treatment options for fistulas include seton placement for drainage and various biological therapies targeting immune responses, with chronic seton therapy recommended as the primary approach in patients with perianal abscesses.
Thermoelectric effects induced dendrite branching dynamics in pure substances: An insight from morphological theory.
Eur Phys J E Soft Matter
July 2020
College of Materials Science and Engineering, Xi'an University of Science and Technology, 710054, Xi'an, P.R. China.
Insights on the mechanical behavior in materials highly depend upon sufficiently characterizing microstructure details at the relevant length scales. In this study, the side-branching dynamics of dendritic structures formation in pure substances is studied upon the phase-field simulations of crystallization with applied direct currents. The effect of heat diffusion (including thermoelectric effect and undercooling) on the dendritic development is investigated, and the characteristics of the primary arms and side-branches are identified by implementing the image recognition technique.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!