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Related Experiment Video

Updated: Dec 24, 2025

Author Spotlight: Optimizing Dendritic Spine Analysis for Balanced Manual and Automated Assessment in the Hippocampus CA1 Apical Dendrites

Author Spotlight: Optimizing Dendritic Spine Analysis for Balanced Manual and Automated Assessment in the Hippocampus CA1 Apical Dendrites

Published on: September 27, 2024

The shape of dendritic tips.

Dmitri V Alexandrov¹, Peter K Galenko^1,2

¹Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg 620000, Russian Federation.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|April 14, 2020

Summary

This summary is machine-generated.

This study unifies parabolic and fractional power law shapes to describe dendritic tip morphology in binary systems. The generalized model accurately represents dendrite shapes across various Péclet numbers, aiding material science research.

Keywords:

boundary integral method dendrites dendritic tips heat and mass transfer phase transformations

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Automatic Identification of Dendritic Branches and their Orientation

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Published on: September 17, 2021

Area of Science:

Materials Science
Physics
Chemical Engineering

Background:

Dendritic growth is crucial in solidification processes.
Understanding dendritic tip shapes is key to controlling material properties.
Previous models often describe limited regions of dendritic growth.

Purpose of the Study:

To develop a unified model for dendritic tip shapes in binary systems without convection.
To combine parabolic and fractional power law descriptions for a broader shape representation.
To analyze the influence of Péclet number on dendritic morphology.

Main Methods:

Analytical modeling of dendritic tip shapes.
Sewing together parabolic and fractional power law functions.
Comparison with experimental data and numerical simulations.

Main Results:

A generalized law accurately describes dendritic shapes across a wide range of Péclet numbers.
Circular/globular shapes are observed at very small and large Péclet numbers.
The model shows good agreement with existing parabolic and fractional power law descriptions.

Conclusions:

The unified model provides a comprehensive description of dendritic tip morphology.
This work enhances the understanding of pattern formation in soft and biological matters.
The findings are validated against experimental and simulation results.