Growth of a tree with allocations rules: Part 2 Dynamics

TL;DR

This paper investigates a plant-inspired transportation network growth model, analyzing how various resource allocation strategies and environmental factors influence the development and structure of the network.

Contribution

It introduces a detailed model incorporating resource allocation rules and environmental effects, expanding understanding of plant-like network growth dynamics.

Findings

Resource allocation schemes significantly impact network structure.

Environmental factors like gravity and shading alter growth patterns.

Different schemes lead to diverse network morphologies.

Abstract

Following up on a previous work we examine a model of transportation network in some source-sink flow paradigm subjected to growth and resource allocation. The model is inspired from plants, and we add rules and factors that are analogous to what plants are subjected to. We study how different resource allocation schemes affect the tree and how the schemes interact with additional factors such as embedding the network into a 3D space and applying gravity or shading. The different outcomes are discussed. PACS. 05.45.-a Nonlinear dynamics and chaos-05.65.+b Self-organized systems