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A Machine Learning Approach to Design an Efficient Selective Screening of Mild Cognitive Impairment
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Published on: January 11, 2020

Generalized Eden model with a screening effect.

Yan-Bo Xie1, Yu-Jian Li, Bing-Hong Wang

  • 1Department of Modern Physics, University of Science and Technology of China, Hefei, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|July 7, 2011
PubMed
Summary
This summary is machine-generated.

This study generalizes the Eden model to include screening effects, resulting in highly anisotropic clusters. Cluster growth in the long direction differs from the short direction as more sites are added.

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Area of Science:

  • Physics
  • Materials Science
  • Computational Modeling

Background:

  • The Eden model is a fundamental model for cluster growth.
  • Understanding anisotropic growth is crucial for materials science applications.

Purpose of the Study:

  • To generalize the Eden model by incorporating screening effects.
  • To investigate the resulting cluster morphology and growth dynamics.

Main Methods:

  • Generalization of the Eden model algorithm.
  • Simulation of cluster growth with screening effects.
  • Analysis of cluster anisotropy and scaling behavior.

Main Results:

  • The generalized Eden model produces highly anisotropic clusters.
  • Screening effects lead to faster growth at the cluster's endpoint.
  • Distinct scaling behaviors are observed for the long and short directions of the cluster.

Conclusions:

  • The generalized Eden model provides a framework for studying anisotropic growth phenomena.
  • Screening effects significantly influence cluster morphology and directional growth.
  • The differing scaling in long and short directions offers insights into anisotropic pattern formation.