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Branching pattern formation that reflects the history of signal propagation. | LitMetric

Branching pattern formation that reflects the history of signal propagation.

Phys Rev E Stat Nonlin Soft Matter Phys

PRESTO, Japan Science and Technology Agency, 4-1-8 Honcho Kawaguchi, Saitama 332-0012, Japan.

Published: October 2010

AI Article Synopsis

  • - The study investigates how signal propagation influences the formation and deformation of branching structures in living organisms, focusing on the relationship between these two processes.
  • - Researchers created a model that combines branch-generation and signal-propagation dynamics, incorporating positive feedback, to explore how these interactions generate various geometrical patterns.
  • - The findings highlight that the interplay between branching and signal dynamics can lead to spontaneous wave generation, resulting in distorted shapes of the branching paths, which is essential for understanding signal processing in complex biological systems.

Article Abstract

In living organisms, branching structures are often observed in open systems. During the process of structure formation/deformation, signal propagation can be observed. Branching paths often deform depending on the history of signal propagation. To gain a better understanding of the process of pattern formation that results in characteristic geometrical paths, we adopt a system in which the dynamics of path formation are correlated with signal propagation. This model involves both branch-generation dynamics and signal-propagation dynamics, and we introduced positive feedback between these two dynamic processes. We studied the geometrical properties of path deformation and the pattern of signal propagation using a discretized reaction-diffusion model. The proposed model can qualitatively reproduce different branching patterns and means of signal propagation. One remarkable result is that the mutual interaction of these two dynamic processes leads to autonomous wave generation, similar to a pacemaker or the generation of spiral waves. Because the autonomous wave generation in the signal is spontaneous, the shapes of the branching paths become distorted. We discuss the correlation between path deformation and signal propagation as a first step in understanding signal processing for such complex deformable paths.

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Source
http://dx.doi.org/10.1103/PhysRevE.82.046205DOI Listing

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