A biophysical approach to the design of networks of communication systems
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908454879232000 |
|---|---|
| author | Almeida, Rodrigo Valente, Ana Filipa Dilão, Rui |
| author_facet | Almeida, Rodrigo Valente, Ana Filipa Dilão, Rui |
| contents | Inspired by the growth dynamics of the protist \textit{Physarum polycephalum}, we employ a formalism that describes adaptive, incompressible Hagen-Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal with respect to their length. Occasionally, we derive graph tree configurations that are topologically equivalent to Steiner trees. This methodology can be utilised to assist in making decisions regarding the design of communication networks, such as fibre webs, motorways, or railway networks. As a demonstration of the practicality of this approach, we explicitly apply this framework to the Portuguese railway network. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20572 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A biophysical approach to the design of networks of communication systems Almeida, Rodrigo Valente, Ana Filipa Dilão, Rui Physics and Society Adaptation and Self-Organizing Systems Inspired by the growth dynamics of the protist \textit{Physarum polycephalum}, we employ a formalism that describes adaptive, incompressible Hagen-Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal with respect to their length. Occasionally, we derive graph tree configurations that are topologically equivalent to Steiner trees. This methodology can be utilised to assist in making decisions regarding the design of communication networks, such as fibre webs, motorways, or railway networks. As a demonstration of the practicality of this approach, we explicitly apply this framework to the Portuguese railway network. |
| title | A biophysical approach to the design of networks of communication systems |
| topic | Physics and Society Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2506.20572 |